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 *x*^{2}+*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 *x*^{2}+*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

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.