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;
Perimeter, Circumference, and Area - Activity B
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 Events
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;
Congruence in Right 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;
Distance Formula - Activity A
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;
Perimeter, Circumference, and Area - Activity B
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 Events
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;
Perimeter, Circumference, and Area - Activity B
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;
Box-and-Whisker Plots
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);
Perimeter, Circumference, and Area - Activity B
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;
Perimeter, Circumference, and Area - Activity B
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;
Box-and-Whisker Plots
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;
Distance Formula - Activity A
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;
Perimeter, Circumference, and Area - Activity B
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;
Box-and-Whisker Plots
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;
Box-and-Whisker Plots
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 Events
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