Curriculum Standards

FN1.1.1: demonstrate an understanding of the subsets, elements, properties, and operations of the rational number system;

Fractions with Unlike Denominators

FN1.1.3: order and compare rational numbers;

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

FN1.1.4: informally describe and model the concept of additive and multiplicative inverses (e.g., opposites, reciprocals) in real life problem situations;

Solving Formulas for any Variable

FN1.1.5: apply number theory concepts (e.g., primes, composites, factors, divisibility ,and multiples) in mathematical problem situations;

Finding Factors with Area Models

FN1.1.6: use rational numbers to represent real-world applications (e.g., probability, proportionality);

Binomial Probabilities

Estimating Population Size

FN1.1.8: select and apply an appropriate method (i.e., mental arithmetic, paper and pencil, or technology) for computing with rational numbers, and evaluate the reasonableness of results;

Fractions with Unlike Denominators

FN1.1.9: apply estimation strategies in computation and in problem solving.

FN1.2.1: recognize, extend, and create geometric, spatial, and numerical patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

FN1.2.3: communicate the meaning of variables in algebraic expressions and equations;

Using Algebraic Equations

Using Algebraic Expressions

FN1.2.4: apply the concept of variable in simplifying algebraic expressions and solving equations;

Dividing Exponential Expressions

Multiplying Exponential Expressions

Using Algebraic Equations

FN1.3.1: apply geometric properties, formulas, and relationships to solve real-world problems;

FN1.3.3: demonstrate an understanding of the properties and construction of geometric figures, including angles, parallel lines, perpendicular lines, triangles, circles, and quadrilaterals;

Area of Parallelograms - Activity A

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

FN1.4.1: apply appropriate techniques, tools, and formulas to determine measurements;

FN1.5.1: choose, construct, and analyze appropriate graphical representations for a data set including pie charts, histograms, stem and leaf plots, and scatterplots;

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

FN1.5.2: interpret a set of data using the appropriate measure of central tendency (mean, median, mode);

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

FN1.5.3: determine experimental and theoretical probabilities for simple experiments.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

FN2.1.4: informally describe and model the concept of inverse (e.g., opposites, reciprocals, and squares and square roots);

FN2.1.7: apply number theory concepts (e.g., primes, factors, divisibility and multiples) in mathematical problem situations;

Finding Factors with Area Models

FN2.1.9: use real numbers to represent real-world applications (e.g., rate of change, probability, and proportionality);

Binomial Probabilities

Estimating Population Size

FN2.1.11: communicate the concepts and strategies being used in estimation and computation;

FN2.2.1: recognize, extend, and create geometric, spatial, and numerical patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

FN2.2.2: analyze mathematical patterns related to algebra and geometry in real-world problem solving;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

FN2.2.3: solve problems in number theory, geometry, probability and statistics, and measurement and estimation using algebraic thinking and symbolism (attention given to solving linear equations);

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

FN2.2.4: communicate the meaning of variables in algebraic expressions, equations, and inequalities;

Using Algebraic Equations

Using Algebraic Expressions

FN2.2.5: interpret the results of algebraic procedures;

Using Algebraic Equations

Using Algebraic Expressions

FN2.2.6: apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities;

Dividing Exponential Expressions

Multiplying Exponential Expressions

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

FN2.3.1: analyze relationships among corresponding parts of similar or congruent geometric figures;

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

FN2.3.2: apply geometric properties, formulas, and relationships to solve real-world problems;

FN2.3.5: demonstrate an understanding of transformations of geometric figures;

Dilations

Reflections

Rotations, Reflections and Translations

FN2.3.6: apply the Pythagorean Theorem in problem solving;

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

FN2.4.2: use concepts of length and area, including surface area and volume, to estimate and solve real-world problems (e.g., parallelograms, triangles, right rectangular prisms, circles, right cylinders, spheres, and pyramids);

Area of Parallelograms - Activity A

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

FN2.4.4: choose appropriate techniques and tools to measure quantities in order to meet specifications for precision and accuracy;

FN2.4.5: demonstrate an understanding of rates and other derived and indirect measurements (e.g., velocity, miles per hr, rpm, and cost per unit).

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

FN2.5.1: interpret a set of data using the appropriate measure of central tendency (mean, median, mode) and the appropriate measure of dispersion (e.g., quartiles, range);

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

FN2.5.2: choose, construct, and analyze appropriate graphical representations for a data set including pie charts, histograms, stem-and-leaf plots, scatterplots, and box plots;

Box-and-Whisker Plots

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

FN2.5.4: apply theoretical and experimental probability to analyze the likelihood of an event;

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

FN2.5.5: use simulations to estimate probability;

FN2.5.7: apply counting principles of permutations and combinations using appropriate technology.

Binomial Probabilities

Permutations

Permutations and Combinations

AL1.1.5: apply number theory concepts (e.g., primes, factors, divisibility and multiples) in mathematical problem solving;

Finding Factors with Area Models

AL1.1.7: use real numbers to represent real-world applications (e.g., slope, rate of change, probability, and proportionality);

Binomial Probabilities

Estimating Population Size

Slope - Activity B

AL1.1.8: use a variety of notations appropriately (e.g. exponential, functional, square root);

Exponential Functions - Activity A

Square Roots

AL1.2.1: recognize, analyze, extend, and create a variety of patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

AL1.2.3: solve linear systems using a variety of techniques;

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AL1.2.4: communicate the meaning of variables in algebraic expressions, equations, and inequalities;

Using Algebraic Equations

Using Algebraic Expressions

AL1.2.5: identify and represent a variety of functions;

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

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

Using Algebraic Equations

AL1.2.6: apply and interpret rates of change from graphical and numerical data;

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AL1.2.7: analyze graphs to describe the behavior of functions;

Exponential Functions - Activity A

Functions Involving Square Roots

Logarithmic Functions: Translating and Scaling

Point-Slope Form of a Line - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

Unit Circle

AL1.2.8: interpret results of algebraic procedures;

Using Algebraic Equations

Using Algebraic Expressions

AL1.2.9: apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities;

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

AL1.2.11: model real-world phenomena using functions and graphs;

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AL1.2.12: articulate and apply algebraic properties in symbolic manipulation;

Using Algebraic Equations

Using Algebraic Expressions

AL1.2.13: analyze relationships which can and which cannot be represented by a function;

Introduction to Functions

Linear Functions

AL1.2.14: graph inequalities and interpret graphs of 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

AL1.2.15: describe the domain and range of functions and articulate restrictions imposed either by the operations or by the real-life situations which the functions represent;

Functions Involving Square Roots

Introduction to Functions

AL1.2.16: describe the transformation of the graph that occurs when coefficients and/or constants of the corresponding linear equations are changed.

Dilations

Parabolas - Activity A

Point-Slope Form of a Line - Activity A

Reflections

Rotations, Reflections and Translations

Slope-Intercept Form of a Line - Activity A

AL1.3.1: apply geometric properties, formulas, and relationships to solve real-world problems;

AL1.3.3: apply right triangle relationships including the Pythagorean Theorem and the distance formula;

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Simplifying Trigonometric Expressions

AL1.4.1: use concepts of length, area, and volume to estimate and solve real-world problems;

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

AL1.4.2: apply and communicate measurement concepts and relationships in algebraic and geometric problem-solving situations;

Using Algebraic Equations

Using Algebraic Expressions

AL1.4.4: make decisions about units, scales, and measurement tools that are appropriate for problem situations involving measurement;

Dilations

Similar Figures - Activity A

Similar Polygons

Triple Beam Balance

AL1.5.3: interpret a set of data using the appropriate measure of central tendency;

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

AL1.5.4: choose, construct, and analyze appropriate graphical representations for a data set;

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AL1.5.5: understand the concept of random sampling;

AL1.5.6: apply counting principles of permutations and combinations using appropriate technology;

Binomial Probabilities

Permutations

Permutations and Combinations

AL1.5.7: model situations to determine theoretical and experimental probabilities.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

GEO.2.1: recognize, extend, and create geometric, spatial, and numerical patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

GEO.2.2: analyze mathematical patterns related to algebra and geometry in real-world problem solving;

Arithmetic Sequences

Finding Patterns

GEO.2.3: solve problems connecting geometry with number theory, probability and statistics, and measurement and estimation using algebraic thinking and symbolism;

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

GEO.2.5: apply ratio and proportion to problems involving similar figures.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

GEO.3.1: analyze relationships among corresponding parts of similar or congruent geometric figures;

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

GEO.3.2: apply geometric properties of solids, polygons, and circles to solve real-world problems;

GEO.3.3: justify conclusions and solve problems using deductive reasoning;

Biconditional Statement

Conditional Statement

GEO.3.6: demonstrate an understanding of transformations of geometric figures (i.e., translations, rotations, dilations, and reflections);

Dilations

Reflections

Rotations, Reflections and Translations

Translations

GEO.3.7: apply right triangle relationships including the Pythagorean Theorem, the distance formula, and trigonometric ratios;

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Simplifying Trigonometric Expressions

Sine and Cosine Ratios - Activity A

Tangent Ratio

GEO.3.9: apply reflexive, transitive, and symmetric properties when appropriate;

GEO.3.10: demonstrate understanding of geometric properties of congruence, similarity, perpendicularity, and parallelism;

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

GEO.3.11: recognize and articulate relationships among families of geometric figures (e.g., quadrilaterals, prisms);

Classifying Quadrilaterals - Activity B

Prisms and Cylinders - Activity A

GEO.3.12: use logic and proof to establish the validity of conjectures and theorems.

Biconditional Statement

Conditional Statement

Proving Triangles Congruent

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

GEO.4.1: use concepts of length, area, and volume to estimate and solve real-world problems;

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

GEO.4.3: choose appropriate techniques and tools to measure quantities in order to meet specifications for precision, accuracy, and tolerance.

GEO.5.1: apply geometric representations to calculate theoretical probability;

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

GEO.5.2: use data analysis to investigate geometric relationships.

TGE.2.1: recognize, extend, and create geometric, spatial, and numerical patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

TGE.2.2: analyze mathematical patterns related to algebra and geometry in real-world problem solving;

Arithmetic Sequences

Finding Patterns

TGE.2.3: solve problems connecting geometry with number theory, probability and statistics, and measurement and estimation using algebraic thinking and symbolism;

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

TGE.2.5: apply ratio and proportion to problems involving similar figures.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

TGE.3.1: analyze relationships among corresponding parts of similar or congruent geometric figures;

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

TGE.3.2: apply geometric properties of solids, polygons, and circles to solve real-world problems;

TGE.3.3: justify conclusions and solve problems using deductive reasoning;

Biconditional Statement

Conditional Statement

TGE.3.6: demonstrate an understanding of transformations of geometric figures (i.e., translations, rotations, dilations, and reflections);

Dilations

Reflections

Rotations, Reflections and Translations

Translations

TGE.3.7: apply right triangle relationships including the Pythagorean Theorem, the distance formula, and trigonometric ratios;

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Simplifying Trigonometric Expressions

Sine and Cosine Ratios - Activity A

Tangent Ratio

TGE.3.9: apply reflexive, transitive, and symmetric properties when appropriate;

TGE.3.10: demonstrate understanding of geometric properties of congruence, similarity, perpendicularity, and parallelism;

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

TGE.3.11: recognize and articulate relationships among families of geometric figures (e.g., quadrilaterals, prisms);

Classifying Quadrilaterals - Activity B

Prisms and Cylinders - Activity A

TGE.3.12: use logic and proof to establish the validity of conjectures and theorems.

Biconditional Statement

Conditional Statement

Proving Triangles Congruent

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

TGE.4.1: use concepts of length, area, and volume to estimate and solve real-world problems;

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

TGE.4.3: choose appropriate techniques and tools to measure quantities in order to meet specifications for precision, accuracy, and tolerance.

TGE.5.1: apply geometric representations to calculate theoretical probability;

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

TGE.5.2: use data analysis to investigate geometric relationships.

AL2.1.6: use a variety of notations appropriately (e.g. logarithmic, factorial, sigma, delta, radical);

Operations with Radical Expressions

AL2.2.3: solve linear systems using a variety of techniques, including matrices;

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AL2.2.4: communicate the meaning of variables in algebraic expressions, equations, and inequalities;

Using Algebraic Equations

Using Algebraic Expressions

AL2.2.7: identify and represent a variety of functions (e.g. linear, quadratic, cubic);

Cubic Function Activity

Linear Functions

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Using Algebraic Equations

AL2.2.8: identify, describe, and articulate the characteristics and the parameters of a parent function;

Cosine Function

Cubic Function Activity

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

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

AL2.2.9: interpret results of algebraic procedures;

Using Algebraic Equations

Using Algebraic Expressions

AL2.2.10: apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities;

Dividing Exponential Expressions

Multiplying Exponential Expressions

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Using Algebraic Equations

AL2.2.12: model real-world phenomena using functions and graphs;

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

Modeling Linear Systems - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

AL2.2.13: describe the domain and range of functions and articulate restrictions imposed either by the operations or by the real-life situations which the functions represent;

Functions Involving Square Roots

Introduction to Functions

AL2.2.14: use linear programming to solve real-world problems.

Linear Programming - Activity A

AL2.3.1: apply geometric properties, formulas, and relationships to solve real-world problems;

AL2.3.2: justify conclusions using deductive reasoning;

Biconditional Statement

Conditional Statement

AL2.3.5: perform a given transformation and predict the results of the transformation.

Dilations

Reflections

Rotations, Reflections and Translations

AL2.4.2: apply appropriate techniques, tools, and formulas to determine measurements.

AL2.5.1: understand concept of randomness in sampling;

AL2.5.3: apply counting principles of permutations and combinations using appropriate technology;

Binomial Probabilities

Permutations

Permutations and Combinations

AL2.5.4: apply theoretical and experimental probability to analyze the likelihood of an event;

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

AL2.5.5: collect, represent, and describe linear and nonlinear data sets developed from real world;

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AL2.5.7: make inferences about a data set using appropriate measures of central tendency and dispersion;

Line Plots

Mean, Median and Mode

AL2.5.10: analyze the probability of dependent events and of independent events;

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

AL2.5.11: use simulations to estimate probability;

AL2.5.12: choose, construct, and analyze appropriate graphical representations for a data set;

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

IM1.1.1: demonstrate an understanding of the elements, subsets, properties, and operations of rational numbers;

Fractions with Unlike Denominators

IM1.1.2: demonstrate understanding of positive integer exponents and perform operations with expressions involving exponents;

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

IM1.1.9: use a variety of notations appropriately (e.g., exponential, functional, square root);

IM1.2.1: communicate the meaning of variables in algebraic expressions, equations, and inequalities;

Using Algebraic Equations

Using Algebraic Expressions

IM1.2.2: identify dependent and independent variables in real-world situations;

IM1.2.3: apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities;

Dividing Exponential Expressions

Multiplying Exponential Expressions

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Using Algebraic Equations

IM1.2.4: represent the solution set linear equations and inequalities in one variable symbolically, graphically, and verbally;

Defining a Line with Two Points

Inequalities Involving Absolute Values

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Standard Form of a Line

IM1.2.7: represent functions with equations, graphs, tables, and words;

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

Polynomials and Linear Factors

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

Using Algebraic Equations

Using Tables, Rules and Graphs

IM1.2.9: solve real-world problems represented by linear functions and interpret the slope and intercepts;

Linear Functions

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

IM1.2.10: solve systems of two equations in two unknowns using a variety of techniques;

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

IM1.2.11: recognize and extend numerical, geometric, and spatial patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

IM1.2.12: describe the domain and range of functions imposed either by operations or by real-life situations that the functions represent;

Functions Involving Square Roots

Introduction to Functions

IM1.2.13: describe the transformation of the graph that occurs when coefficients and/or constants of the corresponding linear equation are changed;

Dilations

Parabolas - Activity A

Point-Slope Form of a Line - Activity A

Reflections

Rotations, Reflections and Translations

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

IM1.2.14: generalize numerical, geometric patterns verbally and symbolically.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

IM1.3.2: apply properties of special pairs of angles (e.g. supplementary, complementary, vertical, and adjacent);

Investigating Angle Theorems - Activity A

IM1.3.3: articulate relationships of angles formed when parallel lines are cut by a transversal;

Investigating Angle Theorems - Activity A

IM1.3.4: apply the concept of slope to parallel and perpendicular lines;

Construct Parallel and Perpendicular Lines

Slope - Activity B

IM1.3.5: solve real world problems involving length, perimeter, and circumference;

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

IM1.3.6: apply the properties of congruence and similarity to solve problems;

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM1.3.7: apply the Pythagorean Theorem and the distance formula;

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

IM1.4.1: choose appropriate techniques and tools to measure quantities in order to meet specifications for precision and accuracy;

IM1.4.2: use concepts of length, area, and volume to estimate and solve real- world problems;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM1.5.2: choose, construct, and analyze appropriate graphical representations for a data set;

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

IM1.5.3: interpret data using the appropriate measure of central tendency for the data set;

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

IM1.5.4: determine the measures of dispersion of a data set including range and quartiles;

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

IM1.5.5: apply basic counting principles, introducing factorial notation; apply experimental and theoretical probability with simulations where appropriate;

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

IM1.5.6: make predictions from a linear data set using a line of best fit.

IM2.2.1: solve systems of three equations and three unknowns using a variety of techniques including inverse matrices with technology;

Solving Linear Systems by Graphing

IM2.2.2: describe the domain and range of a function;

Functions Involving Square Roots

Introduction to Functions

IM2.2.5: solve quadratic equations and inequalities using appropriate methods;

Quadratic Inequalities - Activity A

Roots of a Quadratic

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

IM2.2.7: graph absolute value functions and quadratic functions with emphasis on transformations;

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Reflections of a Quadratic Function

Roots of a Quadratic

Translating and Scaling Functions

IM2.2.8: solve real-world problems modeled by absolute value or quadratic functions;

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

IM2.2.9: recognize the conic sections from given information;

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

IM2.2.10: recognize, extend, and create numerical, geometric, and spatial patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

IM2.3.1: demonstrate an understanding of geometric transformations (i.e. reflection, translation, rotation, and dilation);

Dilations

Reflections

Rotations, Reflections and Translations

Translations

IM2.3.2: apply deductive reasoning using postulates and theorems to prove conclusions from given hypotheses;

Biconditional Statement

Conditional Statement

IM2.3.4: apply right triangle properties, including geometric mean, The Pythagorean Theorem, special right triangles, and the trigonometric ratios;

Cosine Function

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Similarity in Right Triangles

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

IM2.3.5: derive the distance formula for the distance between two points in a rectangular coordinate system;

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

IM2.3.6: apply concepts related to similar and congruent triangles;

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM2.3.7: apply properties of circles, arcs, chords, tangents, or secants to solve problems;

IM2.3.8: apply the distance and midpoint formulas in solving problems;

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

IM2.3.9: solve real-world problems involving area with two- and three- dimensional shapes;

Perimeter, Circumference, and Area - Activity B

IM2.3.10: use coordinates to describe position in two and three dimensions.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM2.4.1: choose appropriate techniques and tools to measure quantities in order to meet specifications for tolerance;

IM2.4.3: use concepts of length, area, and volume to estimate and solve real-world problems;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM2.4.7: apply geometric properties in constructions using a variety of tools (e.g. paper folding, geometric software, reflections tools).

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

IM2.5.2: use simulations to demonstrate probability experiments;

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

IM2.5.5: determine the probability of an event;

Geometric Probability - Activity A

IM3.1.2: demonstrate an understanding of the elements, subsets, and properties of the complex number system.

Points in the Complex Plane - Activity A

IM3.2.1: perform operations on functions, including composition, and determine the effects of the composition on the domain and range;

IM3.2.3: identify and describe the characteristics of families of functions;

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

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

Sine Function

Tangent Function

IM3.2.4: articulate the results of varying parameters of a parent function;

Cosine Function

Cubic Function Activity

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

Parabolas - Activity A

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

Translating and Scaling Functions

Using Tables, Rules and Graphs

IM3.2.6: solve absolute value equations and inequalities;

Inequalities Involving Absolute Values

IM3.2.7: graph polynomial, exponential, and logarithmic and rational functions;

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

IM3.2.9: solve real-world problems modeled by polynomial, exponential, logarithmic, and periodic functions;

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions - Activity A

IM3.2.10: solve problems involving linear programming;

Linear Programming - Activity A

IM3.2.11: demonstrate an understanding of recursive and explicit definitions of functions and sequences;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.2.13: apply sigma notation with arithmetic and geometric series;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.2.14: represent a sequence using a list, graph, symbols, and words;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.2.15: determine an equation of a conic section from its graph.

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

IM3.3.1: apply and justify properties of quadrilaterals and circles;

IM3.3.2: solve real world problems involving volume of geometric solids;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM3.3.3: demonstrate an understanding of the Platonic Solids;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM3.3.5: apply transformational matrices to transform geometric figures in a rectangular coordinate system.

Rotations, Reflections and Translations

Translations

IM3.4.1: use concepts of length, area, and volume to estimate and solve real-world problems;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM3.5.2: use z-scores to compare normally distributed data sets;

IM3.5.3: use a variety of techniques to determine equations of best fit for nonlinear data sets;

IM3.5.6: determine binomial probabilities using appropriate methods;

AAT.1.1: represent situations that involve variable quantities with expressions, equations, inequalities, and matrices;

AAT.1.2: use appropriate methods and technologies to represent and characterize the solutions for a variety of equations, inequalities, and systems of equations and systems of inequalities;

Linear Programming - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

AAT.1.3: demonstrate understanding of sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

AAT.2.2: connect trigonometric and circular functions;

Cosine Function

Sine Function

Tangent Function

Unit Circle

AAT.2.3: interpret trigonometric functions represented graphically.

DMS.1.2: apply inductive and deductive reasoning to discrete problem situations;

Biconditional Statement

Compound Independent Events

Compound Independent and Dependent Events

Conditional Statement

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

DMS.1.1: use discrete structures to represent problem situations;

DMS.3.2: select and use appropriate representations to summarize data;

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

PRC.2.1: represent a variety of functions graphically;

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Introduction to Functions

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

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

Radical Functions

Rational Functions

Roots of a Quadratic

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

Unit Circle

Using Tables, Rules and Graphs

PRC.2.2: use a variety of methods to analyze and interpret functions;

PRC.2.3: determine the slope and equations of lines tangent to curves;

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

PRC.2.4: apply functions in problem situations.

PRC.3.3: solve trigonometric equations and inequalities algebraically or graphically;

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

PRC.3.4: interpret transformations of trigonometric functions.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

PRC.4.1: represent sequences and series;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

STA.2.1: select and use appropriate displays to represent and summarize the data collected in statistical studies or experiments;

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

CAL.1.3: represent a variety of functions graphically;

Exponential Functions - Activity A

Logarithmic Functions: Translating and Scaling

Roots of a Quadratic

TMA.1.4: informally describe and model the concept of inverse (e.g., opposites, reciprocals, and squares and square roots);

TMA.1.6: apply number theory concepts (e.g., primes, factors, divisibility and multiples) in mathematical problem situations;

Finding Factors with Area Models

TMA.1.8: use real numbers to represent real-world applications (e.g., rate of change, probability, and proportionality);

Binomial Probabilities

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Estimating Population Size

TMA.2.1: analyze, extend, and create mathematical patterns related to algebra in real-world problem solving;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

TMA.2.2: communicate the meaning of variables in algebraic expressions and equation;

Using Algebraic Equations

Using Algebraic Expressions

TMA.2.3: apply and interpret rates of change from numerical data;

Direct Variation

Direct and Inverse Variation

TMA.2.4: apply the concept of variable to simplify algebraic expressions and solve equations;

Dividing Exponential Expressions

Multiplying Exponential Expressions

Using Algebraic Equations

TMA.2.5: model real-world phenomenon using graphs.

Modeling Linear Systems - Activity A

TMA.3.1: analyze and apply concepts and properties in the construction of lines, angles, and vertices when solving work-related problems;

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

TMA.3.3: synthesize and apply geometrical concepts, properties, and formulas of three-dimensional shapes when solving work-related problems.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

TMA.4.1: select and use appropriate tools of measurement to determine length, area, angular measurement and volume with in given tolerances (i.e. vernier caliper, micrometer, machinist rule, graduated cylinders, protractors as well as rulers);

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

TMA.4.2: use measurements of length, area, angular measurement and volume to estimate and solve real-world problems;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

TMA.4.4: demonstrate an understanding of rates and other derived and indirect measurements.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

TMA.5.1: read graphs, charts, and tables;

TMA.5.4: choose, construct, and analyze appropriate graphical representations for a data set;

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

TMA.5.5: interpret a set of data using the appropriate measure of central tendency;

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

TMA.5.6: interpolate readings on a graph as well as extrapolate to estimate values;

TAL.1.5: apply number theory concepts (, primes, factors, divisibility and multiples) in mathematical problem solving;

Finding Factors with Area Models

TAL.1.7: use real numbers to represent real-world applications (, slope, rate of change, probability, and proportionality);

Estimating Population Size

Slope - Activity B

TAL.1.8: use a variety of notations appropriately (exponential, functional, square root);

TAL.2.1: recognize, analyze, extend, and create a variety of patterns;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

TAL.2.3: communicate the meaning of variables in algebraic expressions, equations, and inequalities;

Using Algebraic Equations

Using Algebraic Expressions

TAL.2.4: identify and represent a variety of functions using technology;

Introduction to Functions

Linear Functions

Using Algebraic Equations

Using Tables, Rules and Graphs

TAL.2.5: apply and interpret rates of change from graphical and numerical data

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

TAL.2.6: analyze graphs to describe the behavior of functions;

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

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

Roots of a Quadratic

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

Unit Circle

TAL.2.7: interpret results of algebraic procedures;

Using Algebraic Equations

Using Algebraic Expressions

TAL.2.8: apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities;

Dividing Exponential Expressions

Multiplying Exponential Expressions

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Using Algebraic Equations

TAL.2.10: model real-world phenomena using functions and graphs;

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

TAL.2.11: articulate and apply algebraic properties in symbolic manipulation;

Using Algebraic Equations

Using Algebraic Expressions

TAL.2.12: analyze relationships which can and which cannot be represented by a function;

Introduction to Functions

Linear Functions

TAL.2.13: graph inequalities and interpret graphs of inequalities;

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

TAL.2.14: describe the domain and range of functions and articulate restrictions imposed either by the operations or by the real-life situations which the functions represent;

Functions Involving Square Roots

Introduction to Functions

TAL.2.15: describe the transformation of the graph that occurs when coefficients and/or constants of the corresponding linear equations are changed.

Cosine Function

Cubic Function Activity

Dilations

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Reflections

Rotations, Reflections and Translations

Translating and Scaling Functions

TAL.3.1: apply geometric properties, formulas, and relationships to solve real-world problems;

TAL.3.3: apply right triangle relationships including the Pythagorean Theorem and the distance formula;

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

TAL.3.4: find and represent solutions of quadratic equations geometrically.

Ellipse - Activity A

Hyperbola - Activity A

TAL.4.1: use concepts of length, area, and volume to estimate and solve real-world problems;

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

TAL.4.4: make decisions about units, scales, and measurement tools that are appropriate for problem situations involving measurement;

Dilations

Similar Figures - Activity A

Similar Polygons

Triple Beam Balance

TAL.5.1: collect, represent, and describe linear and nonlinear data sets developed from the real world;

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

TAL.5.2: interpret a set of data using the appropriate measure of central tendency;

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

TAL.5.3: choose, construct, and analyze appropriate graphical representations for a data set;

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

TAL.5.4: understand the concept of random sampling;

TAL.5.5: apply counting principles of permutations and combinations using appropriate technology;

Binomial Probabilities

Permutations

Permutations and Combinations

TAL.5.6: model situations to determine theoretical and experimental probabilities.

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

Correlation last revised: 11/14/2008

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