Curriculum Framework
Al.1.1: Evaluate algebraic expressions, including radicals, by applying the order of operations
Simplifying Radicals - Activity A
Al.1.2: Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa
Using Algebraic Equations
Using Algebraic Expressions
Al.1.3: Apply the laws of (integral) exponents
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Al.1.5: Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives
Addition of Polynomials - Activity A
Al.1.6: Simplify algebraic fractions by factoring
Dividing Exponential Expressions
Modeling the Factorization of x2+bx+c
Al.1.8: Simplify radical expressions such as 3/(square root of 7)
Operations with Radical Expressions
Simplifying Radicals - Activity A
Square Roots
Al.1.9: Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)
Operations with Radical Expressions
Simplifying Radicals - Activity A
Square Roots
Al.2.1: Solve multi-step equations and inequalities with rational coefficients
Al.2.1.a: numerically (from a table or guess and check)
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
Al.2.1.b: algebraically (including the use of manipulatives)
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
Al.2.1.c: graphically
Inequalities Involving Absolute Values
Linear Programming - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Two-Step Equations
Al.2.1.d: technologically
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
Al.2.2: Solve systems of two linear equations
Al.2.2.a: numerically (from a table or guess and check)
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
Al.2.2.b: algebraically (including the use of manipulatives)
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
Al.2.2.c: graphically
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
Al.2.2.d: technologically
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
Al.2.3: Solve linear formulas and literal equations for a specified variable
Solving Formulas for any Variable
Al.2.4: Solve and graph simple absolute value equations and inequalities
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Al.2.5: Solve real world problems that involve a combination of rates, proportions and percents
Estimating Population Size
Polling: Neighborhood
Al.2.6: Solve problems involving direct variation and indirect (inverse) variation to model rates of change
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Al.2.7: Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Pythagorean Theorem)
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Al.2.8: Communicate real world problems graphically, algebraically, numerically and verbally
Cosine Function
Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
Al.3.1: Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data
Introduction to Functions
Linear Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.2: Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data
Cosine Function
Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Introduction to Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
Using Tables, Rules and Graphs
Al.3.4: Identify independent variables and dependent variables in various representational modes: words, symbols, and/or graphs
Al.3.5: Interpret the rate of change/slope and intercepts within the context of everyday life
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Al.3.6: Calculate the slope given
Al.3.6.a: two points
Al.3.6.b: the graph of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Al.3.6.c: the equation of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Standard Form of a Line
Al.3.7: Determine by using slope whether a pair of lines are parallel, perpendicular, or neither
Al.3.8: Write an equation in slope-intercept form given
Al.3.8.a: two points
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.8.b: a point and y-intercept
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.8.c: x-intercept and y-intercept
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.8.d: a point and slope
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.8.e: a table of data
Linear Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.8.f: the graph of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
Al.3.9: Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa
Defining a Line with Two Points
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Functions Involving Square Roots
Linear Functions
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AI.4.1: Factoring polynomials
AI.4.1.a: greatest common factor
AI.4.1.b: binomials (difference of squares)
Al.4.2: Determine minimum, maximum, vertex, and zeros, given the graph
Parabolas - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Al.4.3: Solve quadratic equations using the appropriate methods with and without technology
Al.4.3.a: factoring
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Al.4.3.b: quadratic formula with real number solutions
Al.4.4: Recognize function families and their connections including vertical shift and reflection over the x-axis
Al.4.4.a: quadratics
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
Al.4.4.b: absolute value
Inequalities Involving Absolute Values
Quadratic and Absolute Value Functions
Al.4.4.c: exponential functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Al.4.5: Communicate real world problems graphically, algebraically, numerically and verbally
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Al.5.1: Construct and use scatter plots and line of best fit to make inferences in real life situations
Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines
Al.5.4: Determine the effects of changes in the data set on the measures of central tendency
Line Plots
Mean, Median and Mode
Al.5.5: Use two or more box-and- whisker plots to compare data sets
Box-and-Whisker Plots
Populations and Samples
Al.5.6: Construct and interpret a cumulative frequency histogram in real life situations
Histograms
Populations and Samples
Al.5.7: Recognize linear functions and non-linear functions by using a table or a graph
Functions Involving Square Roots
Introduction to Functions
Linear Functions
Unit Circle
Using Tables, Rules and Graphs
Al.5.8: Compute simple probability with and without replacement
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
Al.5.9: Recognize patterns using explicitly defined and recursively defined linear functions
Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Al.5.10: Communicate real world problems graphically, algebraically, numerically and verbally
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
AA.1.1: Evaluate algebraic expressions, including radicals, by applying the order of operations
Operations with Radical Expressions
Simplifying Radicals - Activity A
AA.1.2: Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa
Using Algebraic Equations
Using Algebraic Expressions
AA.1.4: Simplify algebraic fractions by factoring
Dividing Exponential Expressions
Modeling the Factorization of x2+bx+c
AA.2.1: Solve multi-step equations and inequalities with rational coefficients
AA.2.1.a: numerically (from a table or guess and check)
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
AA.2.1.b: algebraically (including the use of manipulatives)
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
AA.2.1.c: graphically
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations
AA.2.1.d: technologically
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
AA.2.2: Solve systems of two linear equations
AA.2.2.a: numerically (from a table or guess and check)
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AA.2.2.b: algebraically (including the use of manipulatives)
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AA.2.2.c: graphically
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AA.2.2.d: technologically
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AA.2.3: Solve linear formulas and literal equations for a specified variable
Solving Formulas for any Variable
AA.2.4: Solve and graph simple absolute value equations and inequalities
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
AA.2.5: Solve real world problems that involve a combination of rates, proportions and percents
Estimating Population Size
Polling: Neighborhood
AA.2.6: Solve problems involving direct variation and indirect (inverse) variation to model rates of change
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
AA.2.7: Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Theorem)
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Point-Slope Form of a Line - Activity A
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Slope-Intercept Form of a Line - Activity A
AA.2.8: Communicate graphically, algebraically, numerically and verbally real world problems
Linear Inequalities in Two Variables - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
AA.3.1: Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data
Introduction to Functions
Linear Functions
Using Tables, Rules and Graphs
AA.3.2: Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Introduction to Functions
Using Tables, Rules and Graphs
AA.3.3: Know and/or use function notation, including evaluating functions for given values in their domain
Linear Functions
Using Tables, Rules and Graphs
AA.3.4: Identify independent variables and dependent variables in various representational modes: words, symbols, and/or graphs
AA.3.5: Interpret the rate of change/slope and intercepts within the context of everyday life
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
AA.3.6: Calculate the slope given
AA.3.6.a: two points
AA.3.6.b: the graph of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AA.3.6.c: the equation of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AA.3.7: Determine by using slope whether a pair of lines are parallel, perpendicular, or neither
AA.3.8: Write an equation in slope-intercept form given
AA.3.8.a: two points
Defining a Line with Two Points
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
AA.3.8.b: a point and y-intercept
Defining a Line with Two Points
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
AA.3.8.c: x-intercept and y-intercept
Defining a Line with Two Points
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
AA.3.8.d: a point and slope
Defining a Line with Two Points
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
AA.3.8.e: a table of data
Defining a Line with Two Points
Linear Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
AA.3.8.f: the graph of a line
Defining a Line with Two Points
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
AA.3.9: Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa
Defining a Line with Two Points
Functions Involving Square Roots
Linear Functions
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AA.5.1: Construct and use scatter plots and line of best fit to make inferences in real life situations
Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines
AA.5.4: Use two or more box-and-whisker plots to compare data sets
Box-and-Whisker Plots
Populations and Samples
AA.5.5: Construct and interpret a cumulative frequency histogram in real life situations
Histograms
Populations and Samples
AA.5.6: Recognize linear functions and non-linear functions by using a table or graph
Functions Involving Square Roots
Linear Functions
Unit Circle
Using Tables, Rules and Graphs
AA.5.7: Compute simple probability with and without replacement
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
AA.5.8: Recognize patterns using explicitly defined and recursively defined linear functions
Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
AB.1.1: Evaluate algebraic expressions, including radicals, by applying the order of operations
Operations with Radical Expressions
Simplifying Radicals - Activity A
AB.1.2: Apply the laws of (integral) exponents
Dividing Exponential Expressions
Exponents and Power Rules
AB.1.4: Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives
Addition of Polynomials - Activity A
AB.1.5: Simplify algebraic fractions by factoring
Dividing Exponential Expressions
Modeling the Factorization of x2+bx+c
AB.1.6: Simplify radical expressions such as 3/(square root of 7)
Operations with Radical Expressions
Simplifying Radicals - Activity A
Square Roots
AB.1.7: Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)
Operations with Radical Expressions
Simplifying Radicals - Activity A
Square Roots
AB.2.1: Solve systems of two linear equations
AB.2.1.a: numerically (from a table or guess and check)
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AB.2.1.b: algebraically (including the use of manipulatives)
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AB.2.1.c: graphically
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AB.2.1.d: technologically
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AB.2.2: Solve and graph simple absolute value equations and inequalities
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
AB.2.3: Communicate real world problems graphically, algebraically, numerically and verbally
Linear Inequalities in Two Variables - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
AB.3.1: Factoring polynomials
AB.3.1.a: greatest common factor
AB.3.1.b: binomials (difference of squares)
AB.3.1.c: trinomials
Factoring Special Products
Modeling the Factorization of x2+bx+c
AB.3.2: Determine minimum, maximum, vertex, and zeros, given the graph
Parabolas - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
AB.3.3: Solve quadratic equations using the appropriate methods with and without technology
AB.3.3.a: factoring
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
AB.3.3.b: quadratic formula with real number solutions
AB.3.4: Recognize function families and their connections including vertical shift and reflection over the x-axis
AB.3.4.a: quadratics
Absolute Value with Linear Functions - Activity B
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Reflections of a Quadratic Function
Roots of a Quadratic
AB.3.4.b: absolute value
Absolute Value with Linear Functions - Activity B
Inequalities Involving Absolute Values
Quadratic and Absolute Value Functions
Translating and Scaling Functions
AB.3.4.c: exponential functions
Absolute Value with Linear Functions - Activity B
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
AB.3.5: Communicate real world problems graphically, algebraically, numerically and verbally
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
AB.4.1: Determine the effects of changes in the data set on the measures of central tendency
AB.4.2: Use two or more box-and- whisker plots to compare data sets
AB.4.3: Construct and interpret a cumulative frequency histogram in real life situations
Histograms
Populations and Samples
AB.4.4: Recognize linear functions and non-linear functions by using a table or a graph
Functions Involving Square Roots
Linear Functions
Unit Circle
Using Tables, Rules and Graphs
AB.4.5: Compute simple probability with and without replacement
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
AB.4.6: Recognize patterns using explicitly defined and recursively defined linear functions
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
AB.4.7: Communicate real world problems graphically, algebraically, numerically and verbally.
Binomial Probabilities
Estimating Population Size
G.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations
G.1.1.c: conditional statements (statement, inverse, converse, and contrapositive)
G.1.3: Describe relationships derived from geometric figures or figural patterns
Classifying Quadrilaterals - Activity B
Finding Patterns
G.1.4: Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines
Chords and Arcs
Investigating Angle Theorems - Activity A
Parallelogram Conditions
G.1.5: Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel
Investigating Angle Theorems - Activity A
G.1.6: Give justification for conclusions reached by deductive reasoning
Biconditional Statement
Conditional Statement
G.2.1: Apply congruence (SSS...) and similarity (AA...) correspondences and properties of figures to find missing parts of geometric figures and provide logical justification
Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons
G.2.2: Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem)
G.2.3: Identify and use the special segments of triangles (altitude, median, angle bisector, perpendicular bisector, and midsegment) to solve problems
Concurrent Lines, Medians, and Altitudes
G.2.4: Apply the Pythagorean Theorem and its converse in solving practical problems
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
G.2.6: Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles in right triangles including angles of elevation and angles of depression
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
G.3.1: Calculate probabilities arising in geometric contexts
Geometric Probability - Activity A
G.3.2: Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
G.3.3: Relate changes in the measurement of one attribute of an object to changes in other attributes
Prisms and Cylinders - Activity A
G.3.4: Use (given similar geometric objects) proportional reasoning to solve practical problems (including scale drawings)
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.3.5: Use properties of parallel lines and proportional reasoning to find the lengths of segments
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.4.1: Explore and verify the properties of quadrilaterals
Classifying Quadrilaterals - Activity B
Parallelogram Conditions
Special Quadrilaterals
G.4.2: Solve problems using properties of polygons:
G.4.2.a: sum of the measures of the interior angles of a polygon
Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A
G.4.2.b: interior and exterior angle measure of a regular polygon or irregular polygon
Triangle Angle Sum - Activity A
G.4.2.c: number of sides or angles of a polygon
Classifying Triangles
Isosceles and Equilateral Triangles
G.4.5: Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles
Chords and Arcs
Inscribing Angles
G.5.1: Use coordinate geometry to find the distance between two points, the midpoint of a segment, and the slopes of parallel, perpendicular, horizontal, and vertical lines
Construct Parallel and Perpendicular Lines
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Point-Slope Form of a Line - Activity A
Pythagorean Theorem - Activity A
Slope - Activity B
G.5.2: Write equations of lines in slope-intercept form and use slope to determine parallel and perpendicular lines
Defining a Line with Two Points
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
G.5.3: Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)
Classifying Quadrilaterals - Activity B
Classifying Triangles
Isosceles and Equilateral Triangles
Parallelogram Conditions
Special Quadrilaterals
G.5.4: Write, in standard form, the equation of a circle given a graph on a coordinate plane or the center and radius of a circle
G.5.5: Draw and interpret the results of transformations and successive transformations on figures in the coordinate plane
G.5.5.a: translations
Rotations, Reflections and Translations
Translations
G.5.5.b: reflections
Reflections
Rotations, Reflections and Translations
G.5.5.c: rotations (90°, 180°, clockwise and counterclockwise about the origin)
Rotations, Reflections and Translations
G.5.5.d: dilations (scale factor)
GA.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations
GA.1.1.b: matrix logic
Biconditional Statement
Conditional Statement
GA.1.1.c: conditional statements (statement, inverse, converse, and contrapositive)
Biconditional Statement
Conditional Statement
GA.1.3: Describe relationships derived from geometric figures or figural patterns
Classifying Quadrilaterals - Activity B
Finding Patterns
GA.1.4: Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines
Investigating Angle Theorems - Activity A
GA.1.5: Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel
Investigating Angle Theorems - Activity A
GA.1.6: Give justification for conclusions reached by deductive reasoning
Biconditional Statement
Conditional Statement
GA.2.1: Apply congruence (SSS...) and similarity (AA...) correspondences and properties of figures to find missing parts of geometric figures and provide logical justification
Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons
GA.2.2: Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem)
Classifying Triangles
Triangle Inequalities
GA.2.3: Identify and use the special segments of triangles (altitude, median, angle bisector, perpendicular bisector, and midsegment) to solve problems
Concurrent Lines, Medians, and Altitudes
GA.2.4: Apply the Pythagorean Theorem and its converse in solving practical problems
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
GA.3.1: Explore and verify the properties of quadrilaterals
Classifying Quadrilaterals - Activity B
Parallelogram Conditions
Special Quadrilaterals
GA.3.2: Solve problems using properties of polygons:
GA.3.2.a: sum of the measures of the interior angles of a polygon
Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A
GA.3.2.b: interior and exterior angle measure of a regular polygon or irregular polygon
Triangle Angle Sum - Activity A
GA.3.2.c: number of sides or angles of a polygon
Classifying Triangles
Isosceles and Equilateral Triangles
GA.3.3: Use orthographic drawings (top, front, side) and isometric drawings (corner) to represent three-dimensional objects
3D and Orthographic Views - Activity A
GA.4.1: Use coordinate geometry to find the distance between two points, the midpoint of a segment, and the slopes of parallel, perpendicular, horizontal, and vertical lines
Construct Parallel and Perpendicular Lines
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Point-Slope Form of a Line - Activity A
Pythagorean Theorem - Activity A
Slope - Activity B
GA.4.2: Write equations of lines in slope-intercept form, and use slope to determine parallel and perpendicular lines
Defining a Line with Two Points
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
GA.4.3: Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)
Classifying Triangles
Isosceles and Equilateral Triangles
Parallelogram Conditions
GB.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations
GB.1.1.b: Matrix Logic
Biconditional Statement
Conditional Statement
GB.1.1.c: Conditional Statements (statement, inverse, converse, and contrapositive)
Biconditional Statement
Conditional Statement
GB.1.2: Give justification for conclusions reached by deductive reasoning
Biconditional Statement
Conditional Statement
GB.2.1: Apply the Pythagorean Theorem and its converse in solving practical problems
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
GB.2.3: Using trigonometric ratios(sine, cosine, tangent), determine lengths of sides and measures of angles in right triangles including angles of elevation and angles of depression
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
GB.3.1: Calculate probabilities arising in geometric contexts
Geometric Probability - Activity A
GB.3.2: Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and
Area of Parallelograms - Activity A
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
GB.3.3: Relate changes in the measurement of one attribute of an object to changes in other attributes
Prisms and Cylinders - Activity A
GB.3.4: Use (given similar geometric objects) proportional reasoning to solve practical problems (including scale drawings)
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
GB.3.5: Use properties of parallel lines and proportional reasoning to find the lengths of segments
Beam to Moon (Ratios and Proportions)
Estimating Population Size
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
GB.4.3: Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles
Chords and Arcs
Inscribing Angles
GB.4.5: Use orthographic drawings (top, front, side) and isometric drawings (corner) to represent three-dimensional objects
3D and Orthographic Views - Activity A
GB.4.6: Draw, examine, and classify cross-sections of three-dimensional objects
Classifying Quadrilaterals - Activity B
Classifying Triangles
GB.5.1: Write, in standard form, the equation of a circle given a graph on a coordinate plane or the center and radius of a circle
GB.5.2: Draw and interpret the results of transformations and transformations on figures in the coordinate plane
GB.5.2.a: translations
Rotations, Reflections and Translations
Translations
GB.5.2.b: reflections
Reflections
Rotations, Reflections and Translations
GB.5.2.c: rotations (90°. 180°, clockwise and counterclockwise about the origin)
Rotations, Reflections and Translations
GB.5.2.d: dilations (scale factor)
GI.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations
GI.1.1.c: conditional statements (statement, inverse, converse, and contrapositive)
GI.1.3: Describe relationships derived from geometric figures or figural patterns
Classifying Quadrilaterals - Activity B
Finding Patterns
GI.1.4: Apply, with and without appropriate technology, definitions, theorems, properties, and postulates, related to such topics as complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines
Investigating Angle Theorems - Activity A
GI.1.5: Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel
Investigating Angle Theorems - Activity A
GI.1.6: Justify conclusions reached by deductive reasoning
Biconditional Statement
Conditional Statement
GI.2.1: Apply congruence (SSS...) and similarity (AA...) correspondences and properties of figures to find missing parts of geometric figures and provide logical justification
Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons
GI.2.2: Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem)
Classifying Triangles
Triangle Inequalities
GI.2.3: Identify and use the special segments of triangles (altitude, median, angle bisector, perpendicular bisector, and midsegment) to solve problems
Concurrent Lines, Medians, and Altitudes
GI.2.4: Apply the Pythagorean Theorem and its converse in solving practical problems
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
GI.2.6: Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles in right triangles including angles of elevation and angles of depression
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
GI.3.1: Calculate probabilities arising in geometric contexts
Geometric Probability - Activity A
GI.3.2: Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
GI.3.3: Relate changes in the measurement of one attribute of an object to changes in other attributes
Prisms and Cylinders - Activity A
GI.3.4: Use proportional reasoning to solve practical problems (including scale drawings) given similar geometric objects
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
GI.3.5: Use properties of parallel lines and proportional reasoning to find the lengths of segments
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
GI.4.1: Explore and verify the properties of quadrilaterals
Classifying Quadrilaterals - Activity B
Parallelogram Conditions
Special Quadrilaterals
GI.4.2: Solve problems using properties of polygons
GI.4.2.a: sum of the measures of the interior angles of a polygon
Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A
GI.4.2.b: interior and exterior angle measure of a regular polygon or irregular polygon
Triangle Angle Sum - Activity A
GI.4.2.c: number of sides or angles of a polygon
Classifying Triangles
Isosceles and Equilateral Triangles
GI.4.5: Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles
Chords and Arcs
Inscribing Angles
GI.4.7: Use orthographic drawings (top, front, side) and isometric drawings (corner) to represent three-dimensional objects
3D and Orthographic Views - Activity A
GI.5.1: Use coordinate geometry to find the distance between two points, the midpoint of a segment, and the slopes of parallel, perpendicular, horizontal, and vertical lines
Construct Parallel and Perpendicular Lines
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Point-Slope Form of a Line - Activity A
Pythagorean Theorem - Activity A
Slope - Activity B
GI.5.2: Write equations of lines in slope-intercept form and use slope to determine parallel and perpendicular lines
Construct Parallel and Perpendicular Lines
Defining a Line with Two Points
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
GI.5.3: Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)
Classifying Quadrilaterals - Activity B
Classifying Triangles
Isosceles and Equilateral Triangles
Parallelogram Conditions
Special Quadrilaterals
GI.5.4: Write, in standard form, the equation of a circle given a graph on a coordinate plane or the center and radius of a circle
GI.5.5: Draw and interpret the results of transformations and successive transformations on figures in the coordinate plane
GI.5.5.a: translations
Rotations, Reflections and Translations
Translations
GI.5.5.b: reflections
Reflections
Rotations, Reflections and Translations
Gi.5.5.c: rotations (90°, 180°, clockwise and counterclockwise about the origin)
Rotations, Reflections and Translations
GI.5.5.d: dilations (scale factor)
AC.1.1: Apply counting techniques to determine the number of outcomes
AC.1.1.a: tree diagram
Binomial Probabilities
Permutations
Permutations and Combinations
AC.1.1.c: permutations (with and without repetition)
Permutations
Permutations and Combinations
AC.1.1.d: combinations
Binomial Probabilities
Permutations and Combinations
AC.1.2: Conduct and interpret simple probability experiments using
AC.1.2.a: manipulatives (spinners, dice, cards, coins)
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
AC.1.2.b: simulations (using random number tables, graphing calculators, or computer software)
AC.1.3: Compute and display theoretical and experimental probability including the use of Venn diagrams.
AC.1.3.a: simple
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
AC.1.3.b: complementary
AC.1.3.c: compound (mutually exclusive, inclusive, independent and dependent events)
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
AC.1.5: Interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for
AC.1.5.a: consistency with the data
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
AC.1.5.b: appropriateness of type of graph or data display
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
AC.2.1: Create, given a graph without an explicit formula, a written or oral interpretation of the relationship between the independent and dependent variables
AC.2.2: Create, given a situation, a graph that models the relationship between the independent and dependent variables
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Introduction to Functions
AC.2.3: Determine the independent and dependent variables, domain and range of a relation from an algebraic expression, graph, set of ordered pairs, or table of data
Cosine Function
Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Introduction to Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
Using Tables, Rules and Graphs
AC.2.4: Interpret the rate of change (slope) and intercepts within the context of everyday life
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
AC.2.5: Calculate the slope given
AC.2.5.a: two points
AC.2.5.b: a graph of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AC.2.5.c: an equation of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AC.2.6: Determine, using slope, whether a pair of lines are parallel, perpendicular, or neither
Construct Parallel and Perpendicular Lines
Slope - Activity B
AC.2.7: Write an equation given
AC.2.7.a: two points
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line
AC.2.7.b: a point and y-intercept
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AC.2.7.c: an x-intercept and y-intercept
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AC.2.7.d: a point and slope
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AC.2.7.e: a table of data
Defining a Line with Two Points
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AC.2.7.f: the graph of a line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AC.3.1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically and graphically
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations
AC.3.2: Solve, with and without appropriate technology, systems of two linear equations and systems of two inequalities numerically, algebraically and graphically
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
AC.3.3: Solve linear formulas and literal equations for a specified variable
Solving Formulas for any Variable
AC.3.4: Use, with and without appropriate technology, coordinate geometry to represent and solve problems including midpoint, length of a line segment and Pythagorean Theorem
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
AC.3.5: Determine and describe, with and without appropriate technology, the resulting change in the perimeter, area, and volume when one or more dimensions change (apply this idea in solving real world problems)
Area of Parallelograms - Activity A
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Translating and Scaling Functions
AC.3.6: Apply linear, piece-wise and step functions to real world situations that involve a combination of rates, proportions and percents such as sales tax, simple interest, social security, constant depreciation and appreciation, arithmetic sequences, constant
Arithmetic Sequences
Arithmetic and Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Simple and Compound Interest
Slope-Intercept Form of a Line - Activity A
AC.4.1: Factor polynomials
AC.4.1.a: greatest common factor
AC.4.1.b: binominals (difference of squares)
AC.4.1.c: trinomials
Modeling the Factorization of x2+bx+c
AC.4.1.d: combinations of the above
Factoring Special Products
Modeling the Factorization of x2+bx+c
AC.4.2: Simplify, add, subtract and multiply radical expressions
Operations with Radical Expressions
Simplifying Radicals - Activity A
AC.4.3: Solve, with and without appropriate technology, quadratic equations with real number solutions using factoring and the quadratic formula
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Roots of a Quadratic
AC.4.4: Determine the independent and dependent variables, domain and range of a relation from algebraic equations, graphs, sets of ordered pairs, or tables of data
Cosine Function
Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
Introduction to Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
Unit Circle
Using Tables, Rules and Graphs
AC.4.5: Identify and apply nonlinear functions to real world situations such as acceleration, area, volume, population, bacteria, compound interest, percent depreciation and appreciation, amortization, geometric sequences, etc.
Arithmetic and Geometric Sequences
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
Geometric Sequences
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Simple and Compound Interest
Sine Function
Tangent Function
Unit Circle
AC.4.6: Recognize function families including vertical shifts, horizontal shifts and reflections over the x-axis
Absolute Value with Linear Functions - Activity B
Logarithmic Functions: Translating and Scaling
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
AII.1.1: Determine, with or without technology, the domain and range of a relation defined by a graph, a table of values, or a symbolic equation including those with restricted domains and whether a relation is a function
Cosine Function
Functions Involving Square Roots
General Form of a Rational Function
Introduction to Functions
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Radical Functions
Rational Functions
Sine Function
Tangent Function
Using Tables, Rules and Graphs
AII.1.2: Evaluate, add, subtract, multiply, divide and compose functions and give appropriate domain and range restrictions
Addition and Subtraction of Polynomials
AII.1.4: Analyze and report, with and without appropriate technology, the effect of changing coefficients, exponents, and other parameters on functions and their graphs (linear, quadratic, and higher degree polynomial)
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Linear Functions
Parabolas - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Reflections of a Linear Function
Reflections of a Quadratic Function
Roots of a Quadratic
Translating and Scaling Functions
AII.1.5: Determine, with and without appropriate technology, whether a function is even, odd or neither to analyze the behavior of a graph
Cosine Function
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Sine Function
Tangent Function
AII.1.7: Apply the concepts of functions to real world situations
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
AII.2.1: Translate linear equations from one form (slope-intercept, point-slope, and standard) to another
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AII.2.2: Develop, write, and graph, with and without appropriate technology, equations of lines in slope-intercept, point-slope, and standard forms given
AII.2.2.a: a point and the slope
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AII.2.2.b: two points
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AII.2.2.c: real world data
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AII.2.3: Develop, write and graph (given the point and the slope, two points, or a point and a line) equations of
AII.2.3.a: a parallel line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AII.2.3.b: a perpendicular line
Point-Slope Form of a Line - Activity A
AII.2.3.c: a perpendicular bisector of a segment
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
AII.2.4: Solve, with and without appropriate technology, absolute value equations and inequalities written in one or two variables, and graph solutions
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
AII.2.5: Solve, with and without appropriate technology, systems of linear equations and systems of linear inequalities with two or more variables through the use of graphs, tables, matrices, and other algebraic methods
Linear Programming - Activity A
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A
AII.2.7: Apply, with or without technology, the concepts of linear and absolute value equations and inequalities and systems of linear equations and inequalities to model real world situations including linear programming
Inequalities Involving Absolute Values
Linear Programming - Activity A
Modeling Linear Systems - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Special Types of Solutions to Linear Systems
Systems of Linear Inequalities (Slope-intercept form) - Activity A
AII.3.1: Perform computations with radicals
AII.3.1.a: simplify radicals with different indices
Simplifying Radicals - Activity A
AII.3.1.b: add, subtract, multiply and divide radicals
Operations with Radical Expressions
Simplifying Radicals - Activity A
AII.3.1.d: solve equations that contain radicals or radical expressions
Simplifying Radicals - Activity A
AII.3.2: Extend the number system to include the complex numbers
AII.3.2.c: rationalize denominators
Points in the Complex Plane - Activity A
AII.3.3: Solve quadratic equations with and without appropriate technology by
AII.3.3.a: extracting the square root
Roots of a Quadratic
Square Roots
AII.3.3.b: graphing
AII.3.3.c: factoring
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
AII.3.3.e: using the quadratic formula
AII.3.4: Develop and analyze, with and without appropriate technology, quadratic relations
AII.3.4.a: graph a parabolic relationship when given its equation
Parabolas - Activity A
Quadratics in Factored Form
AII.3.4.b: write an equation when given its roots (zeros or solutions) or graph
Parabolas - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
AII.3.4.c: determine the nature of the solutions graphically and by evaluating the discriminant
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
AII.3.4.d: determine the maximum or minimum values and the axis of symmetry both graphically and algebraically
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Holiday Snowflake Designer
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
AII.3.4.e: Apply the concepts of quadratic equations and functions to model real world situations by using appropriate technology when needed
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
AII.4.1: Determine the factors of polynomials by
AII.4.1.a: using factoring techniques including grouping and the sum or difference of two cubes
Factoring Special Products
Modeling the Factorization of x2+bx+c
AII.4.1.b: using long division
Dividing Polynomials Using Synthetic Division
Modeling the Factorization of x2+bx+c
AII.4.1.c: using synthetic division
Dividing Polynomials Using Synthetic Division
Modeling the Factorization of x2+bx+c
AII.4.2: Develop and analyze, with and without appropriate technology, polynomial functions from their roots, graphs, or equations
AII.4.2.a: write an equation when given its factors or roots (zeros or solutions)
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Modeling the Factorization of x2+bx+c
Polynomials and Linear Factors
AII.4.2.b: determine the x- and y- intercepts
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Polynomials and Linear Factors
AII.4.2.c: describe the end behaviors
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Polynomials and Linear Factors
AII.4.2.d: sketch the graph
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
AII.4.5: Graph, with and without appropriate technology, rational functions of the form y = 1/x and y = 1/x² and their transformations and identify x- and y- intercepts, domain restrictions, and vertical asymptotes
General Form of a Rational Function
Logarithmic Functions: Translating and Scaling
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
AII.4.6: Solve, with and without appropriate technology, problems using rational equations, including proportions, rate, and variation (direct, inverse(indirect), or joint) and real world problems
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
AII.4.7: Establish the relationship between radical expressions and expressions containing rational exponents
Simplifying Radicals - Activity A
AII.4.8: Simplify variable expressions containing rational exponents using the laws of exponents
Simplifying Radicals - Activity A
AII.5.1: Interpret and graph, with and without appropriate technology, exponential functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
AII.5.3: Establish the relationship between exponential and logarithmic functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
AII.6.1: Interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for
AII.6.1.a: consistency with the data
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
AII.6.1.b: appropriateness of type of graph or data display
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
AII.6.2: Calculate, with and without appropriate technology, probabilities of events using the laws of probability
AII.6.2.b: distinguish between and use permutations and combinations
Binomial Probabilities
Permutations
Permutations and Combinations
AII.6.2.d: calculate probabilities of mutually exclusive events, independent events, and dependent events
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
AIII.1.1: Evaluate, add, subtract, multiply, divide and compose functions and determine appropriate domain and range restrictions
Addition and Subtraction of Polynomials
AIII.1.2: Develop, write, and graph, with and without appropriate technology, equations of lines in slope-intercept, point-slope, and standard forms given
AIII.1.2.a: a point and the slope
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AIII.1.2.b: two points
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AIII.1.2.c: real world data
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
AIII.1.3: Develop, write, and graph, given a point and the slope, two points, or a point and a line, the equation of
AIII.1.3.a: a parallel line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
AIII.1.3.b: a perpendicular line
Point-Slope Form of a Line - Activity A
AIII.1.3.c: the perpendicular bisector of a line segment
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
AIII.1.4: Perform computations with radicals
AIII.1.4.a: simplify radicals with different indices
Simplifying Radicals - Activity A
AIII.1.4.b: add, subtract, multiply and divide radicals
Operations with Radical Expressions
Simplifying Radicals - Activity A
AIII.1.5: Solve, with and without appropriate technology, quadratic equations by
AIII.1.5.a: extracting the square root
Roots of a Quadratic
Simplifying Radicals - Activity A
Square Roots
AIII.1.5.b: graphing
Point-Slope Form of a Line - Activity A
Roots of a Quadratic
Slope-Intercept Form of a Line - Activity A
AIII.1.5.c: factoring
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
AIII.1.5.e: using the quadratic formula
AIII.1.7: Solve, with and without appropriate technology, systems of linear and quadratic equations and inequalities with two or more variables
Linear Programming - Activity A
Special Types of Solutions to Linear Systems
Systems of Linear Inequalities (Slope-intercept form) - Activity A
AIII.1.8: Apply, with and without appropriate technology the concepts of functions to real world situations including linear programming
Linear Programming - Activity A
AIII.2.1: Determine the factors of polynomials by
AIII.2.1.a: using factoring techniques including grouping, the difference of two squares, and the sum or difference of two cubes
Factoring Special Products
Modeling the Factorization of x2+bx+c
AIII.2.1.b: using synthetic division
Dividing Polynomials Using Synthetic Division
Modeling the Factorization of x2+bx+c
AIII.2.2: Investigate and sketch the graphs of polynomial and rational functions using the characteristics of domain and range, upper and lower bounds, maximum and minimum points, asymptotes and end behavior, zeros, multiplicity of zeros, y-intercepts, and symmetry
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Translating and Scaling Functions
AIII.2.4: Describe, with and without appropriate technology, the fundamental characteristics of rational functions: zeros, discontinuities (including vertical asymptotes), and end behavior (including horizontal asymptotes)
General Form of a Rational Function
Rational Functions
AIII.2.5: Establish the relationship between radical expressions and expressions containing rational exponents, and simplify variable expressions containing rational exponents using the laws of exponents
Simplifying Radicals - Activity A
AIII.2.6: Apply, with and without appropriate technology, the concepts of polynomial and rational functions to model real world situations
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Rational Functions
AIII.3.1: Establish the inverse relationship between exponential and logarithmic functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
AIII.3.4: Find, with and without appropriate technology, the domain, range, intercepts, and asymptotes of logarithmic and exponential functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
AIII.3.5: Draw and analyze, with and without appropriate technology, graphs of logarithmic and exponential functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
AIII.4.1: Develop, with and without appropriate technology, a representation of sequences recursively and explicitly
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
AIII.4.2: Define and discriminate, with and without appropriate technology, between arithmetic and geometric sequences and series
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
AIII.4.3: Solve, with and without appropriate technology, problems involving the sum (including Sigma notation) of finite and infinite sequences and series
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
AIII.4.4: Determine, with and without appropriate technology, the nth term of a sequence given a rule or specific terms
AIII.5.1: Define sine, cosine, and tangent as ratios of sides of right triangles
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
AIII.5.4: Solve, with and without appropriate technology, real world problems involving applications of
AIII.5.4.a: trigonometric functions
Cosine Function
Sine Function
Tangent Function
Unit Circle
AIII.5.4.d: area of oblique triangles
Perimeter, Circumference, and Area - Activity B
TM.1.1: Identify a linear relationship represented by a table, by a graph, and by symbolic forms
Defining a Line with Two Points
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
TM.1.2: Determine the initial condition and the rate of change in real-world situations described by y= mx + b
Defining a Line with Two Points
Direct Variation
Direct and Inverse Variation
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
TM.1.3: Make inferences and predictions using
TM.1.3.a: recursion on the table
Using Tables, Rules and Graphs
TM.1.3.b: inspection on the graph
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
TM.1.3.c: algebraic manipulation on the model
Defining a Line with Two Points
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
TM.2.1: Identify exponential growth or decay by creating tables, graphs, and mathematical models
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
TM.2.2: Compare exponential models
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
TM.2.3: Compare and contrast linear and exponential models
Exponential Functions - Activity A
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
TM.2.4: Make inferences and predictions using
TM.2.4.a: recursion on the table
Exponential Functions - Activity A
Using Tables, Rules and Graphs
TM.2.4.b: inspection of the graph
Exponential Functions - Activity A
Logarithmic Functions: Translating and Scaling
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
TM.2.4.c: algebraic manipulation on the model
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
TM.2.6: Explain, conjecture, summarize, and defend results orally, in writing, and through the use of appropriate technology
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
TM.3.1: Establish connections between tables and graphs and the symbolic form using geometric and algebraic models (quadratic, rational, etc.)
General Form of a Rational Function
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Roots of a Quadratic
TM.3.3: Make inferences and predictions using
TM.3.3.a: recursion on the table
Linear Functions
Using Tables, Rules and Graphs
TM.3.3.c: algebraic manipulation on the model
TM.3.4: Explain, conjecture, summarize, and defend results orally, in writing, and through the use of appropriate technology
Exponential Growth and Decay - Activity B
TM.4.1: Formulate questions that can be addressed with data and, with appropriate technology, collect, organize, and display relevant data to answer the questions
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
TM.4.2: Describe and summarize data numerically using central tendency variation, position statistics, and distributions
Line Plots
Mean, Median and Mode
TM.4.3: Use counting methods, permutations, and combinations to evaluate the likelihood of events occurring
Binomial Probabilities
Permutations
Permutations and Combinations
TM.4.4: Make inferences and predictions using
TM.4.4.a: recursion on the table
Using Tables, Rules and Graphs
TM.4.4.b: inspection of the graph
Box-and-Whisker Plots
Line Plots
Stem-and-Leaf Plots
PCT.1.1: Investigate and sketch, with and without appropriate technology, the graphs of polynomial and rational functions using the characteristics of domain and range, upper and lower bounds, maximum and minimum points, asymptotes and end behavior, zeros, multipl
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Translating and Scaling Functions
PCT.1.3: Describe, with and without appropriate technology, the fundamental characteristics of rational functions: zeros, discontinuities (including vertical asymptotes), and end behavior (including horizontal asymptotes)
General Form of a Rational Function
Rational Functions
PCT.1.4: Apply the concepts of polynomial and rational functions to model real world situations using appropriate technology when needed
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Modeling Linear Systems - Activity A
Rational Functions
PCT.2.1: Establish the inverse relationship between exponential and logarithmic functions
Exponential Functions - Activity A
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
PCT.2.2: Develop and apply the laws of logarithms and the change-of-base formula to simplify and evaluate expressions
Multiplying Exponential Expressions
PCT.2.4: Find, with and without appropriate technology, the domain, range, intercepts, and asymptotes of logarithmic and exponential functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
PCT.2.5: Draw and analyze, with and without appropriate technology, graphs of logarithmic and exponential functions
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
PCT.3.1: Identify, graph, write, and analyze equations of conic sections, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity, and when appropriate, use technology
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A
PCT.3.2: Solve, with and without appropriate technology, systems of equations and inequalities involving conics and other types of equations
Linear Programming - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A
PCT.3.3: Solve, with and without appropriate technology, real world problems involving conic sections
Ellipse - Activity A
Hyperbola - Activity A
PCT.4.1: Develop, with and without appropriate technology, a representation of sequences recursively
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
PCT.4.2: Define and discriminate between arithmetic and geometric sequences and series and use appropriate technology when needed
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
PCT.4.3: Solve, with and without appropriate technology, problems involving the sum (including Sigma notation) of finite and infinite sequences and series
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
PCT.4.4: Determine the nth term of a sequence given a rule or specific terms and use appropriate technology when needed
PCT.5.1: Define the six trigonometric functions as
PCT.5.1.a: circular functions
Cosine Function
Sine Function
Tangent Function
Unit Circle
PCT.5.1.b: ratios of sides of right triangles
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
PCT.5.3: Sketch an angle in standard position and determine the reference angle and coterminal angles
Cosine Function
Sine Function
Tangent Function
Unit Circle
PCT.5.4: Find the values of the trigonometric functions given the value of one trigonometric function and an additional piece of qualifying information or given the coordinates of a point on the terminal side of an angle
Cosine Function
Sine Function
Tangent Function
Unit Circle
PCT.5.5: Develop and become fluent in the recall of the exact values of the trigonometric functions for special angles
Cosine Function
Sine Function
Tangent Function
Unit Circle
PCT.5.6: Solve, with and without appropriate technology, real world problems involving applications of trigonometric functions
Cosine Function
Sine Function
Tangent Function
PCT.5.7: Graph the six trigonometric functions, identify domain, range, intercepts, period, amplitude, and asymptotes as applicable and use symmetry to determine whether the function is even or odd through appropriate technology when needed
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
PCT.5.8: Determine, with and without appropriate technology, the amplitude, period, phase shift, and vertical shift, and sketch the graph of transformations of the trigonometric functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
PCT.6.3: Determine the area of an oblique triangle by using an appropriate formula and appropriate technology when needed
Classifying Triangles
Perimeter, Circumference, and Area - Activity B
PCT.6.4: Use vectors to solve problems and describe addition of vectors and multiplication of a vector by a scalar, both symbolically and geometrically
PCT.6.5: Use vectors to model situations defined by magnitude and direction and analyze and solve real world problems by using appropriate technology when needed
PCT.7.1: Develop the Pythagorean Identities and use to verify other identities and simplify expressions
Simplifying Trigonometric Expressions
PCT.7.2: Develop and use trigonometric formulas including sum and difference formulas and multiple-angle formulas
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
PCT.8.1: Convert polar coordinates to rectangular coordinates and rectangular coordinates to polar coordinates
Complex Numbers in Polar Form
Points in Polar Coordinates
PCT.8.2: Represent equations given in rectangular coordinates in terms of polar coordinates
Complex Numbers in Polar Form
Points in Polar Coordinates
PCT.8.4: Apply polar coordinates to real world situations and use appropriate technology when needed
Complex Numbers in Polar Form
Points in Polar Coordinates
S.1.1: Create, compare, and evaluate different graphic displays of the same data, using histograms, frequency polygons, cumulative distribution functions, pie charts, scatter plots, stem-and-leaf plots, and box-and-whisker plots and draw these by hand or use a c
Box-and-Whisker Plots
Correlation
Histograms
Populations and Samples
Scatter Plots - Activity A
Solving Using Trend Lines
Stem-and-Leaf Plots
S.1.2: Compute and use mean, mode, weighted mean, geometric mean, harmonic mean, range, quartiles, variance, and standard deviation
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
S.2.2: Compare and contrast population and sample, and parameter and statistic
S.2.3: Identify biased sampling methods
S.2.4: Describe simple random sampling
S.2.6: Investigate and describe sampling techniques, such as simple random sampling, stratified sampling, and cluster sampling
S.3.4: Apply concepts of probability to solve familiar and unfamiliar contextual problems
Binomial Probabilities
Geometric Probability - Activity A
S.3.5: Use simulations to develop an understanding of the Central Limit Theorem and its importance in confidence intervals and tests of significance
S.4.1: Summarize distributions of univariate data by determining and interpreting measures of center, spread, position, boxplot, and effects of changing units on summary measures.
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
S.4.3: Construct and interpret graphical display of data
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
S.4.4: Compare distributions among sets of data.
S.5.1: Investigate and solve relevant problems, using technology to collect, organize, display, and analyze data in tabular, graphical, and symbolic forms
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
S.5.4: Identify possible correlations between variables in a data set
Correlation
Solving Using Trend Lines
S.5.5: Develop, use, and explain application and limitations of linear models and line of best fit (linear regression) in a variety of contexts
S.5.7: Determine and use measures of central tendency and dispersion to describe and compare sets of data
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Populations and Samples
S.5.8: Design, conduct, interpret, and justify the results of a probability experiment, sample, or statistical simulation
Geometric Probability - Activity A
Probability Simulations
S.6.1: Understand the counting principle, permutations and combinations and use them to solve problems
Binomial Probabilities
Permutations
Permutations and Combinations
S.6.2: Compare and contrast permutations and combinations
Binomial Probabilities
Permutations
Permutations and Combinations
S.6.3: Calculate the number of permutations of n objects taken r at a time
Permutations
Permutations and Combinations
S.6.4: Calculate the number of combinations of n objects taken r at a time
Binomial Probabilities
Permutations and Combinations
S.6.6: Find conditional probabilities for dependent, independent, and mutually exclusive events
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
S.7.1: Compare and contrast independent and dependent random variables
S.8.2: Understand and use the multiplication rule to calculate probabilities for independent and dependent events
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
S.8.3: Develop the binomial distribution within a real world context
S.8.4: Calculate the mean and standard deviation for a binomial variable
Binomial Probabilities
Line Plots
S.8.5: Use the binomial distribution to calculate probabilities associated with experiments for which there are only two possible outcomes
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
S.9.1: Design and conduct an experiment that simulates a binomial distribution.
Binomial Probabilities
Geometric Probability - Activity A
Probability Simulations
S.9.2: Design and conduct an experiment that simulates a geometric distribution.
Geometric Probability - Activity A
Probability Simulations
S.9.3: Simulate probability distributions, including binomial and geometric.
S.11.2: Understand hypothesis tests of means and differences between means and use them to reach a conclusion
S.11.4: Calculate and interpret the correlation coefficient of a set of data
CM.1.1: Analyze and interpret graphs, charts, and tables in the design and implementation of a computer program.
Describing Data Using Statistics
CM.2.2: Implement conditional statements that include if/then, if/then/else, case statements, and Boolean logic.
CM.2.6: Develop recursive relationships from mathematical models (e.g. arithmetic and geometric sequences).
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
CM.4.3: Create, edit, and execute programs to calculate mathematical formulas, such as the quadratic formula, and volume of a simple solid.
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Correlation last revised: 10/24/2009