Content Standards
MA.PA.1.1: Identify situations represented by square roots and cube roots
MA.PA.1.2: Compare and order rational numbers and square roots
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Square Roots
MA.PA.1.3: Use ratios and proportions to represent the relationship between two quantities
Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Polling: Neighborhood
MA.PA.2.1: Apply the order of operations when calculating with rational numbers
Fractions with Unlike Denominators
MA.PA.2.2: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots
MA.PA.4.1: Select and use appropriate units to measure the surface area and volume of solids
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
MA.PA.4.2: Express rates of change as a ratio of two different measures, where units are included in the ratio, and use the derived rate to solve problems
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
MA.PA.4.3: Use ratios and proportions to solve measurement problems
Beam to Moon (Ratios and Proportions)
Estimating Population Size
MA.PA.4.4: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids
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
MA.PA.4.5: Use the right triangle relationships (e.g., trigonometric ratios: cosine, sine, and tangent) to solve problems
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
MA.PA.5.1: Apply the Pythagorean theorem to solve problems involving right triangles
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
MA.PA.6.1: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters
Dilations
Reflections
Rotations, Reflections and Translations
Translations
MA.PA.6.2: Describe the size, position, and orientation of shapes under transformations and compositions of transformations
Dilations
Reflections
Rotations, Reflections and Translations
MA.PA.6.3: Describe three-dimensional shapes that are formed by rotating two-dimensional figures about an axis
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rotations, Reflections and Translations
MA.PA.7.1: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures
3D and Orthographic Views - Activity A
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
MA.PA.8.1: Use coordinate geometry to represent transformations in the coordinate plane
Rotations, Reflections and Translations
MA.PA.9.1: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Using Tables, Rules and Graphs
MA.PA.9.2: Use linear relationships with two variables to solve problems
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
MA.PA.9.3: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Point-Slope Form of a Line - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Slope-Intercept Form of a Line - Activity A
Tangent Function
Unit Circle
Using Tables, Rules and Graphs
MA.PA.10.1: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
MA.PA.10.2: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models
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
MA.PA.10.3: Use tables and graphs to represent and compare linear relationships
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
MA.PA.10.4: Use the slope of a line to describe a constant rate of change
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
MA.PA.11.1: Design a study that compares two samples, collect data, and select the appropriate representation (double bar graph, back-to-back stem and leaf plot, parallel box and whisker plots, scatter plot) to compare the sets of data
Box-and-Whisker Plots
Populations and Samples
Scatter Plots - Activity A
Stem-and-Leaf Plots
MA.PA.12.1: Recognize situations appropriate for scatter plots
Correlation
Scatter Plots - Activity A
Solving Using Trend Lines
MA.PA.13.1: Make conjectures about possible relationships between two characteristics of a sample based on interpretations of scatter plots
MA.PA.14.1: Judge the validity of conjectures that are based on experiments or simulations
MA.PA.14.2: Calculate probabilities for simple events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)
Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Independent and Dependent Events
MA.PA.14.3: Use the Fundamental Counting Principle to calculate combinations and permutations
Permutations
Permutations and Combinations
MA.AI.3.1: Apply arithmetic properties to operate on and simplify expressions that include radicals and other real numbers
Operations with Radical Expressions
Simplifying Radicals - Activity A
MA.AI.3.2: Apply the laws of exponents to perform operations on expressions with integral exponents
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
MA.AI.8.1: Graph linear equations using slope-intercept, point-slope, and x- and y-intercept techniques
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
MA.AI.8.2: Determine the slope of a line when given the graph of a line, two points on the line, or the equation of the 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
MA.AI.9.1: Determine if a linear pattern exists in a set of data and represent the data algebraically and graphically
Arithmetic Sequences
Arithmetic and Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
MA.AI.9.2: Compare and contrast the concepts of direct and inverse variation of a relation
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
MA.AI.9.3: Determine the zeros of a linear or quadratic function algebraically and graphically
Linear Functions
Point-Slope Form of a Line - 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
Slope-Intercept Form of a Line - Activity A
MA.AI.9.4: Compare and contrast the properties of linear functions and exponential functions
Exponential Functions - Activity A
Linear Functions
MA.AI.10.1: Solve linear equations and inequalities in one variable using a variety of strategies (e.g., algebraically, by graphing, by using a graphing calculator)
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
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
Systems of Linear Inequalities (Slope-intercept form) - Activity A
MA.AI.10.2: Translate between verbal mathematical situations and algebraic expressions and equations
Using Algebraic Equations
Using Algebraic Expressions
MA.AI.10.4: Determine the equation of a line when given the graph of the line, the slope and a point on the line, or two points on the 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
MA.AI.10.5: Solve systems of two linear equations in two variables 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
MA.AI.10.6: Factor first- and second-degree binomials and trinomials in one or two variables
Factoring Special Products
Modeling the Factorization of x2+bx+c
MA.AI.10.7: Solve quadratic equations in one variable algebraically, graphically, or by using graphing technology
MA.AI.10.8: Select and use a variety of strategies (e.g., concrete objects, pictorial representations, algebraic manipulation) to perform operations on polynomials
Addition of Polynomials - Activity A
MA.AI.10.9: Analyze transformations of lines and understand how the transformation are represented in equations
Point-Slope Form of a Line - Activity A
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
MA.AI.12.1: Compare data sets using statistical techniques (e.g., measures of central tendency, standard deviation, range, stem-and-leaf plots, and box-and-whisker graphs)
Box-and-Whisker Plots
Describing Data Using Statistics
Populations and Samples
Stem-and-Leaf Plots
MA.AI.12.2: Display bivariate data in a scatter plot, describe its shape, and determine the line of best fit that models a trend (if a trend exists)
Correlation
Lines of Best Fit Using Least Squares - Activity A
Scatter Plots - Activity A
Solving Using Trend Lines
MA.AII.1.1: Use the complex number system, the notation for complex numbers, and the definition of āiā to solve problems
Points in the Complex Plane - Activity A
MA.AII.9.1: Apply the properties of arithmetic and geometric sequences and series to solve problems
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
MA.AII.9.2: Use exponential functions to solve problems involving exponential growth and decay
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
MA.AII.9.3: Use the properties of many types of functions (e.g., polynomial, step, absolute value, step, exponential, and logarithmic) to identify the functionās graph
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
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Roots of a Quadratic
Sine Function
Tangent Function
MA.AII.9.4: Use the appropriate terminology and notation to define functions and their properties (e.g., domain, range, function composition, inverses, zeros)
Polynomials and Linear Factors
MA.AII.9.5: Determine the zeros of a function algebraically or graphically
Polynomials and Linear Factors
Roots of a Quadratic
Translating and Scaling Functions
MA.AII.9.6: Describe the relationship among relations and functions
Introduction to Functions
Linear Functions
MA.AII.9.7: Determine the domain and range of a relation given a graph or a set of points
Functions Involving Square Roots
Introduction to Functions
MA.AII.10.1: Solve equations and inequalities involving absolute values
Inequalities Involving Absolute Values
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
MA.AII.10.2: Solve systems of linear equations and inequalities in two or three variables using a variety of strategies (e.g., substitution, graphing, matrices, technology)
Modeling Linear Systems - Activity A
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A
MA.AII.10.4: Factor polynomials representing perfect squares, the difference in squares, perfect square trinomials, the sum and difference of cubes, and general trinomials
Factoring Special Products
Modeling the Factorization of x2+bx+c
MA.AII.10.6: Solve quadratic equations in the complex number system
MA.AII.10.8: Add, subtract, multiply, divide, and simplify rational expressions, radical expressions containing positive rational numbers, and expressions containing rational exponents
Operations with Radical Expressions
Simplifying Radicals - Activity A
MA.AII.10.9: Translate between the equations of conic sections (e.g., circle, ellipse, parabola, hyperbola) and their graphs
Circles
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A
MA.AII.10.10: Analyze translations and dilations for graphs of absolute value functions, parabolas, and circles, and understand how the transformations are represented in equations
Circles
Parabolas - Activity A
Quadratic and Absolute Value Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
MA.AII.12.1: Identify trends in bivariate data and find functions that model the data
MA.AII.14.1: Use the fundamental counting principles for combinations and permutations to determine probability
Permutations
Permutations and Combinations
MA.AII.14.2: Calculate probabilities of events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
MA.G.1.1: Recognize situations that can be represented by vectors
MA.G.3.1: Use vector addition, subtraction, and scalar multiplication to solve problems
MA.G.4.1: Use right triangle trigonometric ratios to solve for an unknown length of a side or the measure or an angle
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
MA.G.4.2: Solve problems using the formulas for perimeter, circumference, area, and volume of two- and three- dimensional figures and solids
Area of Parallelograms - Activity A
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area
MA.G.4.3: Determine the effect of dimension changes to perimeter, area, and volume for common geometric figures and solids
Area of Parallelograms - Activity A
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
MA.G.5.1: Use inductive and deductive reasoning to create and defend geometric conjectures
Biconditional Statement
Conditional Statement
MA.G.5.2: Use the concept of corresponding parts to prove that triangles, and other polygons, are congruent or similar
Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons
MA.G.5.3: Explain properties and characteristics of angle bisectors, perpendicular bisectors, and parallel lines
Concurrent Lines, Medians, and Altitudes
MA.G.5.4: Use the relationship between pairs of angles (e.g., complementary, supplementary, vertical, exterior, interior) to determine unknown angle measures or definitions of properties
Investigating Angle Theorems - Activity A
Triangle Angle Sum - Activity A
MA.G.5.6: Use the relationships among properties of circles (e.g., chords, secants, tangents, arcs, circumference, radius, diameter, inscribed polygons) to solve problems
Chords and Arcs
Circle: Circumference and Area
MA.G.6.1: Describe three-dimensional figures that are formed by translating two-dimensional figures
Classifying Triangles
Rotations, Reflections and Translations
Translations
MA.G.8.1: Use coordinate geometry to produce formulas and prove theorems for the midpoint of a line segment, the distance formula, and forms of equations of lines and circles
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Point-Slope Form of a Line - Activity A
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
MA.G.8.2: Describe the concept of rigid motion on figures in the coordinate plane, including rotation, translation, and reflection
Reflections
Rotations, Reflections and Translations
Translations
MA.T.1.1: Express complex numbers in standard and polar form, and convert from one to another
Complex Numbers in Polar Form
Points in the Complex Plane - Activity A
MA.T.2.1: Add, subtract, multiply, divide, and find powers of complex numbers in polar form
MA.T.3.1: Use vector operations, the law of sines, and the law of cosines to solve problems
MA.T.5.1: Find the sine, cosine, tangent, cotangent, secant, and cosecant of an angle in standard position
Simplifying Trigonometric Expressions
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
MA.T.5.2: Use the relationship among the six trigonometric functions to translate among them (i.e., know that given one of the functions the value of the other five can be found)
Cosine Function
Sine Function
Tangent Function
Unit Circle
MA.T.5.5: Find the value of any trigonometric function and inverse trigonometric function, and solve trigonometric equations
Cosine Function
Sine Function
Tangent Function
MA.T.5.6: Use the fundamental trigonometric identities, including the sum and difference formulas, double-angle formulas, and half-angle formulas to solve problems
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
MA.T.5.7: Verify trigonometric identities
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
MA.T.9.1: Use the trigonometric functions in the form y = ASin (Bx+C) + D to determine various properties of the function (e.g., domain, range, period, phase shift, amplitude)
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
MA.T.9.2: Identify real-world phenomena that can be represented by a trigonometric function in the form y = ASin(Bx + C) + D
Cosine Function
Sine Function
Tangent Function
Unit Circle
MA.T.9.3: Explain the relationship between trigonometric functions and their inverse
Cosine Function
Sine Function
Tangent Function
MA.AG.2.1: Use the sum, difference, scalar multiplication, dot product, and cross product of vectors to solve problems
MA.AG.7.1: Recognize conic sections and describe their characteristics
Circles
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A
MA.AG.8.2: Use the relationship between the slope of a line and the angle of inclination to solve problems
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
MA.AG.8.3: Use the polar coordinate system to graph
Complex Numbers in Polar Form
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Points in Polar Coordinates
MA.AG.8.4: Use the relationship between polar and rectangular form to convert back and forth
MA.AG.9.1: Use the relationship among the properties of conic sections (e.g., asymptotes, center of a conic, directrix, eccentricity, focus, major and minor axis, vertex) and graph conic sections using the standard form of the equations
Circles
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A
MA.AG.9.3: Use properties (e.g., symmetry, tangents at the origin, excluded values, intercepts) to graph polar equations
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
MA.AG.9.4: Use addition of ordinates to graph sums and differences of functions
Addition and Subtraction of Polynomials
Roots of a Quadratic
Translating and Scaling Functions
MA.AG.10.1: Explain that a vector equation can represent a plane
MA.AG.10.6: Determine the intersection of curves algebraically and graphically, including using graphing technology when available
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
MA.P.14.1: Describe the relationship among events (e.g., inclusive, disjoint, complementary, independent, dependent)
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
MA.P.14.2: Calculate the probability of two events under union and intersection
Geometric Probability - Activity A
MA.P.14.3: Differentiate between theoretical and experimental probability
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability
MA.P.14.4: Explain the difference between probability and odds and convert from one to the other
Binomial Probabilities
Geometric Probability - Activity A
MA.P.14.5: Calculate the probability of an outcome for an experiment with and without replacement
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
MA.P.14.6: Apply discrete random variables to solve for the probability of experimental outcomes
Geometric Probability - Activity A
Probability Simulations
Theoretical and Experimental Probability
MA.P.14.8: Apply permutations, combinations, and the fundamental counting principle to calculate the probability of two events
Binomial Probabilities
Permutations
Permutations and Combinations
MA.S.11.3: Select appropriate display for a data set (e.g., frequency table, histogram, line graph, bar graph, stem-and-leaf plot, box-and-whisker plot, scatter plot)
Box-and-Whisker Plots
Histograms
Scatter Plots - Activity A
Stem-and-Leaf Plots
MA.S.11.5: Recognize sampling, randomness, bias, and sampling size in data collection and interpretation
Polling: Neighborhood
Populations and Samples
MA.S.12.1: Use measures of central tendency and spread to interpret data
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
MA.S.12.2: Interpret data based on the correlation coefficient of two variables
MA.S.12.3: Describe the effect of sample size and transformation on the shape, center, and spread of data
MA.S.12.4: Use the line or curve of best fit to interpret data
MA.S.13.1: Recognize that some data can be represented algebraically (e.g., linear, quadratic, exponential, sinusoidal)
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
MA.C.9.6: Use Riemann sums, the trapezoidal rule, and technology to approximate definite integrals of functions represented algebraically, geometrically, or by tables of values
Riemann Sum
Using Tables, Rules and Graphs
MA.C.9.7: Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions, and applications to motion along a line
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
MA.C.10.2: Find limits of sums, differences, products, quotients, and rational functions
General Form of a Rational Function
Rational Functions
MA.C.10.10: Find average and instantaneous rates of change
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Correlation last revised: 2/26/2010