Core Curriculum
A.N.2: Simplify radical terms (no variable in the radicand)
Operations with Radical Expressions
Simplifying Radicals - Activity A
A.N.3: Perform the four arithmetic operations using like and unlike radical terms and express the result in simplest form
Operations with Radical Expressions
Simplifying Radicals - Activity A
A.N.5: Solve algebraic problems arising from situations that involve fractions, decimals, percents (decrease/increase and discount), and proportionality/direct variation
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
Percent of Change
Polling: Neighborhood
A.N.8: Determine the number of possible arrangements (permutations) of a list of items
Permutations
Permutations and Combinations
A.A.1: Translate a quantitative verbal phrase into expression
Using Algebraic Equations
Using Algebraic Expressions
A.A.2: Write a verbal expression that matches a given mathematical expression
Using Algebraic Equations
Using Algebraic Expressions
A.A.3: Distinguish the difference between an algebraic expression and an algebraic equation
A.A.4: Translate verbal sentences into mathematical equations or inequalities
Using Algebraic Equations
Using Algebraic Expressions
A.A.5: Write algebraic equations or inequalities that represent a situation
A.A.6: Analyze and solve verbal problems whose solution requires solving a linear equation in one variable or linear inequality in one variable
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
Using Algebraic Equations
Using Algebraic Expressions
A.A.7: Analyze and solve verbal problems whose solution requires solving systems of linear equations in two variables
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Using Algebraic Equations
Using Algebraic Expressions
A.A.8: Analyze and solve verbal problems that involve quadratic equations
A.A.9: Analyze and solve verbal problems that involve exponential growth and decay
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
Using Algebraic Equations
Using Algebraic Expressions
A.A.10: Solve systems of two linear equations in two variables algebraically
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
A.A.11: Solve a system of one linear and one quadratic equation in two variables, where only factoring is required Note: The quadratic equation should represent a parabola and the solution(s) should be integers.
A.A.12: Multiply and divide monomial expressions with a common base, using the properties of exponents Note: Use integral exponents only
Dividing Exponential Expressions
Multiplying Exponential Expressions
A.A.13: Add, subtract, and multiply monomials and polynomials
Addition of Polynomials - Activity A
Multiplying Exponential Expressions
A.A.14: Divide a polynomial by a monomial or binomial, where the quotient has no remainder
Dividing Polynomials Using Synthetic Division
A.A.15: Find values of a variable for which an algebraic fraction is undefined
Dividing Exponential Expressions
A.A.16: Simplify fractions with polynomials in the numerator and denominator by factoring both and renaming them to lowest terms
Dividing Exponential Expressions
Modeling the Factorization of x2+bx+c
A.A.19: Identify and factor the difference of two perfect squares
A.A.20: Factor algebraic expressions completely, including trinomials with a lead coefficient of one (after factoring a GCF)
Factoring Special Products
Modeling the Factorization of x2+bx+c
A.A.21: Determine whether a given value is a solution to a given linear equation in one variable or linear inequality in one variable
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
A.A.22: Solve all types of linear equations in one variable
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations
A.A.23: Solve literal equations for a given variable
Solving Formulas for any Variable
A.A.24: Solve linear inequalities in one variable
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
A.A.27: Understand and apply the multiplication property of zero to solve quadratic equations with integral coefficients and integral roots
A.A.28: Understand the difference and connection between roots of a quadratic equation and factors of a quadratic expression
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Roots of a Quadratic
A.A.32: Explain slope as a rate of change between dependent and independent variables
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
A.A.33: Determine the slope of a line, given the coordinates of two points on the line
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
A.A.34: Write the equation of a line, given its slope and the coordinates of a point on the line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line
A.A.35: Write the equation of a line, given the coordinates of two points on the line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line
A.A.36: Write the equation of a line parallel to the x- or y-axis
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line
A.A.37: Determine the slope of a line, given its equation in any form
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
A.A.40: Determine whether a given point is in the solution set of a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
A.A.41: Determine the vertex and axis of symmetry of a parabola, given its equation
Holiday Snowflake Designer
Parabolas - Activity A
A.A.42: Find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides
Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Tangent Ratio
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle
A.A.43: Determine the measure of an angle of a right triangle, given the length of any two sides of the triangle
Sine and Cosine Ratios - Activity A
A.A.44: Find the measure of a side of a right triangle, given an acute angle and the length of another side
Sine and Cosine Ratios - Activity A
A.A.45: Determine the measure of a third side of a right triangle using the Pythagorean theorem, given the lengths of any two sides
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
A.G.1: Find the area and/or perimeter of figures composed of polygons and circles or sectors of a circle Note: Figures may include triangles, rectangles, squares, parallelograms, rhombuses, trapezoids, circles, semi-circles, quarter-circles, and regular polygons (perimeter only).
Area of Parallelograms - Activity A
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
A.G.2: Use formulas to calculate volume and surface area of rectangular solids and cylinders
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
A.G.3: Determine when a relation is a function, by examining ordered pairs and inspecting graphs of relations
Introduction to Functions
Linear Functions
Polynomials and Linear Factors
A.G.4: Identify and graph linear, quadratic (parabolic), absolute value, and exponential functions
Exponential Functions - Activity A
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
A.G.5: Investigate and generalize how changing the coefficients of a function affects its graph
Functions Involving Square Roots
Parabolas - Activity A
Translating and Scaling Functions
A.G.6: Graph linear inequalities
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Systems of Linear Inequalities (Slope-intercept form) - Activity A
A.G.7: Graph and solve systems of linear equations and inequalities with rational coefficients in two variables
Linear Programming - Activity A
Point-Slope Form of a Line - 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
A.G.8: Find the roots of a parabolic function graphically Note: Only quadratic equations with integral solutions
Parabolas - Activity A
Roots of a Quadratic
A.G.9: Solve systems of linear and quadratic equations graphically Note: Only use systems of linear and quadratic equations that lead to solutions whose coordinates are integers.
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Systems of Linear Equations - Activity A
A.G.10: Determine the vertex and axis of symmetry of a parabola, given its graph. Note: The vertex will have an ordered pair of integers and the axis of symmetry will have an integral value.
Holiday Snowflake Designer
Parabolas - Activity A
A.M.1: Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail)
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
A.S.2: Determine whether the data to be analyzed is univariate or bivariate
A.S.4: Compare and contrast the appropriateness of different measures of central tendency for a given data set
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
A.S.5: Construct a histogram, cumulative frequency histogram, and a box-and-whisker plot, given a set of data
Box-and-Whisker Plots
Histograms
Populations and Samples
A.S.6: Understand how the five statistical summary (minimum, maximum, and the three quartiles) is used to construct a boxand- whisker plot
A.S.7: Create a scatter plot of bivariate data
Correlation
Scatter Plots - Activity A
Solving Using Trend Lines
A.S.8: Construct manually a reasonable line of best fit for a scatter plot and determine the equation of that line
Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines
A.S.9: Analyze and interpret a frequency distribution table or histogram, a cumulative frequency distribution table or histogram, or a box-and-whisker plot
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Populations and Samples
A.S.11: Find the percentile rank of an item in a data set and identify the point values for first, second, and third quartiles
A.S.12: Identify the relationship between the independent and dependent variables from a scatter plot (positive, negative, or none)
Correlation
Scatter Plots - Activity A
Solving Using Trend Lines
A.S.13: Understand the difference between correlation and causation
Correlation
Solving Using Trend Lines
A.S.14: Identify variables that might have a correlation but not a causal relationship
Correlation
Solving Using Trend Lines
A.S.16: Recognize how linear transformations of one-variable data affect the data’s mean, median, mode, and range
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
A.S.21: Determine empirical probabilities based on specific sample data
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
A.S.23: Calculate the probability of:
A.S.23.a: a series of independent events
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
A.S.23.b: a series of dependent events
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
G.G.8: Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines
Investigating Parallel Lines and Planes
G.G.9: Know and apply that if two planes are perpendicular to the same line, they are parallel
Investigating Parallel Lines and Planes
G.G.10: Know and apply that the lateral edges of a prism are congruent and parallel
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
G.G.11: Know and apply that two prisms have equal volumes if their bases have equal areas and their altitudes are equal
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
G.G.12: Know and apply that the volume of a prism is the product of the area of the base and the altitude
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
G.G.13: Apply the properties of a regular pyramid, including:
G.G.13.a: lateral edges are congruent
Pyramids and Cones - Activity A
Surface and Lateral Area of Pyramids and Cones
G.G.13.b: lateral faces are congruent isosceles triangles
Pyramids and Cones - Activity A
Surface and Lateral Area of Pyramids and Cones
G.G.13.c: volume of a pyramid equals one-third the product of the area of the base and the altitude
Pyramids and Cones - Activity A
G.G.14: Apply the properties of a cylinder, including:
G.G.14.a: bases are congruent
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
G.G.14.b: volume equals the product of the area of the base and the altitude
Prisms and Cylinders - Activity A
G.G.14.c: lateral area of a right circular cylinder equals the product of an altitude and the circumference of the base
Circle: Circumference and Area
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
G.G.15: Apply the properties of a right circular cone, including:
G.G.15.a: lateral area equals one-half the product of the slant height and the circumference of its base
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
G.G.15.b: volume is one-third the product of the area of its base and its altitude
Pyramids and Cones - Activity A
G.G.17: Construct a bisector of a given angle, using a straightedge and compass, and justify the construction
Constructing Congruent Segments and Angles
G.G.18: Construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction
Constructing Congruent Segments and Angles
G.G.19: Construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction
Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles
G.G.20: Construct an equilateral triangle, using a straightedge and compass, and justify the construction
Constructing Congruent Segments and Angles
G.G.21: Investigate and apply the concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors of triangles
Concurrent Lines, Medians, and Altitudes
G.G.25: Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true
G.G.27: Write a proof arguing from a given hypothesis to a given conclusion
Biconditional Statement
Conditional Statement
Proving Triangles Congruent
G.G.28: Determine the congruence of two triangles by using one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient information about the sides and/or angles of two congruent triangles
Congruence in Right Triangles
Proving Triangles Congruent
G.G.29: Identify corresponding parts of congruent triangles
Congruence in Right Triangles
Proving Triangles Congruent
G.G.30: Investigate, justify, and apply theorems about the sum of the measures of the angles of a triangle
Investigating Angle Theorems - Activity A
Triangle Angle Sum - Activity A
G.G.31: Investigate, justify, and apply the isosceles triangle theorem and its converse
Classifying Triangles
Isosceles and Equilateral Triangles
G.G.32: Investigate, justify, and apply theorems about geometric inequalities, using the exterior angle theorem
G.G.33: Investigate, justify, and apply the triangle inequality theorem
G.G.34: Determine either the longest side of a triangle given the three angle measures or the largest angle given the lengths of three sides of a triangle
Classifying Triangles
Isosceles and Equilateral Triangles
Triangle Angle Sum - Activity A
G.G.35: Determine if two lines cut by a transversal are parallel, based on the measure of given pairs of angles formed by the transversal and the lines
Investigating Angle Theorems - Activity A
G.G.36: Investigate, justify, and apply theorems about the sum of the measures of the interior and exterior angles of polygons
Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A
G.G.37: Investigate, justify, and apply theorems about each interior and exterior angle measure of regular polygons
Triangle Angle Sum - Activity A
G.G.38: Investigate, justify, and apply theorems about parallelograms involving their angles, sides, and diagonals
Parallelogram Conditions
Special Quadrilaterals
G.G.39: Investigate, justify, and apply theorems about special parallelograms (rectangles, rhombuses, squares) involving their angles, sides, and diagonals
Classifying Quadrilaterals - Activity B
Parallelogram Conditions
Special Quadrilaterals
G.G.41: Justify that some quadrilaterals are parallelograms, rhombuses, rectangles, squares, or trapezoids
Area of Parallelograms - Activity A
Classifying Quadrilaterals - Activity B
Parallelogram Conditions
Special Quadrilaterals
G.G.43: Investigate, justify, and apply theorems about the centroid of a triangle, dividing each median into segments whose lengths are in the ratio 2:1
Concurrent Lines, Medians, and Altitudes
G.G.44: Establish similarity of triangles, using the following theorems: AA, SAS, and SSS
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.G.45: Investigate, justify, and apply theorems about similar triangles
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.G.46: Investigate, justify, and apply theorems about proportional relationships among the segments of the sides of the triangle, given one or more lines parallel to one side of a triangle and intersecting the other two sides of the triangle
G.G.47: Investigate, justify, and apply theorems about mean proportionality:
G.G.47.a: the altitude to the hypotenuse of a right triangle is the mean proportional between the two segments along the hypotenuse
Perimeters and Areas of Similar Figures
Similarity in Right Triangles
G.G.47.b: the altitude to the hypotenuse of a right triangle divides the hypotenuse so that either leg of the right triangle is the mean proportional between the hypotenuse and segment of the hypotenuse adjacent to that leg
G.G.48: Investigate, justify, and apply the Pythagorean theorem and its converse
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity B
G.G.49: Investigate, justify, and apply theorems regarding chords of a circle:
G.G.49.a: perpendicular bisectors of chords
G.G.49.b: the relative lengths of chords as compared to their distance from the center of the circle
G.G.51: Investigate, justify, and apply theorems about the arcs determined by the rays of angles formed by two lines intersecting a circle when the vertex is:
G.G.51.a: inside the circle (two chords)
G.G.51.b: on the circle (tangent and chord)
G.G.53: Investigate, justify, and apply theorems regarding segments intersected by a circle:
G.G.53.d: along two intersecting chords of a given circle
G.G.54: Define, investigate, justify, and apply isometries in the plane (rotations, reflections, translations, glide reflections) Note: Use proper function notation.
Dilations
Reflections
Rotations, Reflections and Translations
Translations
G.G.55: Investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections
Reflections
Rotations, Reflections and Translations
Translations
G.G.56: Identify specific isometries by observing orientation, numbers of invariant points, and/or parallelism
Dilations
Reflections
Rotations, Reflections and Translations
G.G.57: Justify geometric relationships (perpendicularity, parallelism, congruence) using transformational techniques (translations, rotations, reflections)
Reflections
Rotations, Reflections and Translations
Translations
G.G.58: Define, investigate, justify, and apply similarities (dilations and the composition of dilations and isometries)
Dilations
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.G.59: Investigate, justify, and apply the properties that remain invariant under similarities
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.G.60: Identify specific similarities by observing orientation, numbers of invariant points, and/or parallelism
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
G.G.61: Investigate, justify, and apply the analytical representations for translations, rotations about the origin of 90º and 180º, reflections over the lines x = 0, y = 0 , and x = y, and dilations centered at the origin
Dilations
Reflections
Rotations, Reflections and Translations
Translations
G.G.62: Find the slope of a perpendicular line, given the equation of a line
Point-Slope Form of a Line - Activity A
Slope - Activity B
G.G.63: Determine whether two lines are parallel, perpendicular, or neither, given their equations
Point-Slope Form of a Line - Activity A
G.G.64: Find the equation of a line, given a point on the line and the equation of a line perpendicular to the given line
Point-Slope Form of a Line - Activity A
G.G.65: Find the equation of a line, given a point on the line and the equation of a line parallel to the desired line
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line
G.G.68: Find the equation of a line that is the perpendicular bisector of a line segment, given the endpoints of the line segment
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line
G.G.69: Investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Slope - Activity B
G.G.71: Write the equation of a circle, given its center and radius or given the endpoints of a diameter
G.G.72: Write the equation of a circle, given its graph Note: The center is an ordered pair of integers and the radius is an integer.
G.G.73: Find the center and radius of a circle, given the equation of the circle in center-radius form
G.G.74: Graph circles of the form (x - h)² + (j - k)² = r²
A2.N.1: Evaluate numerical expressions with negative and/or fractional exponents, without the aid of a calculator (when the answers are rational numbers)
Dividing Exponential Expressions
A2.N.2: Perform arithmetic operations (addition, subtraction, multiplication, division) with expressions containing irrational numbers in radical form
Operations with Radical Expressions
Simplifying Radicals - Activity A
A2.N.3: Perform arithmetic operations with polynomial expressions containing rational coefficients
Addition of Polynomials - Activity A
A2.N.4: Perform arithmetic operations on irrational expressions
Operations with Radical Expressions
Simplifying Radicals - Activity A
A2.N.5: Rationalize a denominator containing a radical expression
Simplifying Radicals - Activity A
A2.N.6: Write square roots of negative numbers in terms of i
A2.N.8: Determine the conjugate of a complex number
Points in the Complex Plane - Activity A
A2.A.1: Solve absolute value equations and inequalities involving linear expressions in one variable
Inequalities Involving Absolute Values
A2.A.2: Use the discriminant to determine the nature of the roots of a quadratic equation
A2.A.4: Solve quadratic inequalities in one and two variables, algebraically and graphically
Linear Inequalities in Two Variables - Activity A
Quadratic Inequalities - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
A2.A.5: Use direct and inverse variation to solve for unknown values
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
A2.A.6: Solve an application which results in an exponential function
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
A2.A.7: Factor polynomial expressions completely, using any combination of the following techniques: common factor extraction, difference of two perfect squares, quadratic trinomials
Factoring Special Products
Modeling the Factorization of x2+bx+c
A2.A.8: Apply the rules of exponents to simplify expressions involving negative and/or fractional exponents
Dividing Exponential Expressions
A2.A.9: Rewrite algebraic expressions that contain negative exponents using only positive exponents
Dividing Exponential Expressions
A2.A.10: Rewrite algebraic expressions with fractional exponents as radical expressions
Simplifying Radicals - Activity A
A2.A.11: Rewrite algebraic expressions in radical form as expressions with fractional exponents
Simplifying Radicals - Activity A
A2.A.13: Simplify radical expressions
Operations with Radical Expressions
Simplifying Radicals - Activity A
A2.A.14: Perform addition, subtraction, multiplication and division of radical expressions
Operations with Radical Expressions
Simplifying Radicals - Activity A
A2.A.20: Determine the sum and product of the roots of a quadratic equation by examining its coefficients
A2.A.21: Determine the quadratic equation, given the sum and product of its roots
A2.A.23: Solve rational equations and inequalities
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
A2.A.25: Solve quadratic equations, using the quadratic formula
A2.A.26: Find the solution to polynomial equations of higher degree that can be solved using factoring and/or the quadratic formula
Dividing Polynomials Using Synthetic Division
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Roots of a Quadratic
A2.A.29: Identify an arithmetic or geometric sequence and find the formula for its nth term
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
A2.A.30: Determine the common difference in an arithmetic sequence
Arithmetic Sequences
Arithmetic and Geometric Sequences
A2.A.31: Determine the common ratio in a geometric sequence
Arithmetic and Geometric Sequences
Geometric Sequences
A2.A.32: Determine a specified term of an arithmetic or geometric sequence
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
A2.A.33: Specify terms of a sequence, given its recursive definition
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
A2.A.37: Define a relation and function
Introduction to Functions
Linear Functions
A2.A.38: Determine when a relation is a function
Introduction to Functions
Linear Functions
A2.A.39: Determine the domain and range of a function from its equation
Functions Involving Square Roots
Introduction to Functions
A2.A.43: Determine if a function is one-to-one, onto, or both
A2.A.46: Perform transformations with functions and relations: f(x + a), f(x) + a, f(-x), -f(x), af(x)
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
A2.A.47: Determine the center-radius form for the equation of a circle in standard form
A2.A.48: Write the equation of a circle, given its center and a point on the circle
A2.A.49: Write the equation of a circle from its graph
A2.A.51: Determine the domain and range of a function from its graph
Functions Involving Square Roots
Introduction to Functions
A2.A.52: Identify relations and functions, using graphs
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Introduction to Functions
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
A2.A.53: Graph exponential functions of the form y = b to the power x for positive values of b, including b = e
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
A2.A.54: Graph logarithmic functions, using the inverse of the related exponential function
Exponential Functions - Activity A
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
A2.A.55: Express and apply the six trigonometric functions as ratios of the sides of a right triangle
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
A2.A.56: Know the exact and approximate values of the sine, cosine, and tangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles
Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Tangent Ratio
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle
A2.A.57: Sketch and use the reference angle for angles in standard position
Cosine Function
Sine Function
Tangent Function
A2.A.58: Know and apply the co-function and reciprocal relationships between trigonometric ratios
Cosine Function
Simplifying Trigonometric Expressions
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Tangent Ratio
A2.A.59: Use the reciprocal and co-function relationships to find the value of the secant, cosecant, and cotangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles
Simplifying Trigonometric Expressions
A2.A.60: Sketch the unit circle and represent angles in standard position
Cosine Function
Sine Function
Tangent Function
Unit Circle
A2.A.61: Determine the length of an arc of a circle, given its radius and the measure of its central angle
A2.A.62: Find the value of trigonometric functions, if given a point on the terminal side of angle theta
Cosine Function
Sine Function
Tangent Function
Unit Circle
A2.A.63: Restrict the domain of the sine, cosine, and tangent functions to ensure the existence of an inverse function
Sine, Cosine and Tangent
Tangent Ratio
A2.A.64: Use inverse functions to find the measure of an angle, given its sine, cosine, or tangent
Sine, Cosine and Tangent
Tangent Ratio
A2.A.66: Determine the trigonometric functions of any angle, using technology
Cosine Function
Sine Function
Tangent Function
Unit Circle
A2.A.67: Justify the Pythagorean identities
Simplifying Trigonometric Expressions
A2.A.69: Determine amplitude, period, frequency, and phase shift, given the graph or equation of a periodic function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
A2.A.70: Sketch and recognize one cycle of a function of the form y = AsinBx = or y = AcosBx
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle
A2.A.72: Write the trigonometric function that is represented by a given periodic graph
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle
A2.A.76: Apply the angle sum and difference formulas for trigonometric functions
Sum and Difference Identities for Sine and Cosine
A2.A.77: Apply the double-angle and half-angle formulas for trigonometric functions
Sum and Difference Identities for Sine and Cosine
A2.S.3: Calculate measures of central tendency with group frequency distributions
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Populations and Samples
A2.S.4: Calculate measures of dispersion (range, quartiles, interquartile range, standard deviation, variance) for both samples and populations
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
A2.S.6: Determine from a scatter plot whether a linear, logarithmic, exponential, or power regression model is most appropriate
Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines
A2.S.8: Interpret within the linear regression model the value of the correlation coefficient as a measure of the strength of the relationship
A2.S.9: Differentiate between situations requiring permutations and those requiring combinations
Binomial Probabilities
Permutations
Permutations and Combinations
A2.S.10: Calculate the number of possible permutations of (n P r) n items taken r at a time
Permutations
Permutations and Combinations
A2.S.11: Calculate the number of possible combinations(n C r) of n items taken r at a time
Binomial Probabilities
Permutations and Combinations
A2.S.12: Use permutations, combinations, and the Fundamental Principle of Counting to determine the number of elements in a sample space and a specific subset (event)
Binomial Probabilities
Permutations
Permutations and Combinations
A2.S.13: Calculate theoretical probabilities, including geometric applications
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
A2.S.14: Calculate empirical probabilities
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
A2.S.15: Know and apply the binomial probability formula to events involving the terms exactly, at least, and at most
A2.S.16: Use the normal distribution as an approximation for binomial probabilities
Correlation last revised: 10/30/2009