1: Number, Number Sense and Operations

1.D: Connect physical, verbal and symbolic representations of integers, rational numbers and irrational numbers.

Comparing and Ordering Integers

1.E: Compare, order and determine equivalent forms of real numbers.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

1.G: Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Estimating Sums and Differences
Polling: Neighborhood

1.H: Find the square root of perfect squares, and approximate the square root of non-perfect squares.

Square Roots

2: Measurement

2.B: Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

2.C: Apply indirect measurement techniques, tools and formulas, as appropriate, to find perimeter, circumference and area of circles, triangles, quadrilaterals and composite shapes, and to find volume of prisms, cylinders, and pyramids.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

2.E: Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision.

Perimeter, Circumference, and Area - Activity B

2.F: Write and solve real-world, multi-step problems involving money, elapsed time and temperature, and verify reasonableness of solutions.

Elapsed Time

3: Geometry and Spatial Sense

3.A: Formally define geometric figures.

Classifying Quadrilaterals - Activity A
Classifying Quadrilaterals - Activity B

3.B: Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons

3.E: Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools, such as straightedge, compass and technology.

Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

3.F: Represent and model transformations in a coordinate plane and describe the results.

Rotations, Reflections and Translations

3.H: Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

Classifying Quadrilaterals - Activity A
Classifying Quadrilaterals - Activity B
Classifying Triangles
Parallelogram Conditions
Special Quadrilaterals

3.I: Use right triangle trigonometric relationships to determine lengths and angle measures.

Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio

4: Patterns, Functions and Algebra

4.A: Generalize and explain patterns and sequences in order to find the next term and the nth term.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

4.B: Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations.

Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
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
Sine Function
Slope-Intercept Form of a Line - Activity A
Tangent Function
Unit Circle
Using Algebraic Equations
Using Tables, Rules and Graphs

4.C: Translate information from one representation (words, table, graph or equation) to another representation of a relation or function.

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

4.D: Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations.

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
Introduction to Functions
Linear Functions
Linear Inequalities in Two Variables - Activity A
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 Tables, Rules and Graphs

4.E: Analyze and compare functions and their graphs using attributes, such as rates of change, intercepts and zeros.

Exponential Functions - Activity A
Introduction to Functions
Linear Functions
Logarithmic Functions: Translating and Scaling
Polynomials and Linear Factors
Using Tables, Rules and Graphs

4.F: Solve and graph linear equations and inequalities.

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
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
Solving Two-Step Equations
Systems of Linear Inequalities (Slope-intercept form) - Activity A

4.G: Solve quadratic equations with real roots by graphing, formula and factoring.

Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Roots of a Quadratic

4.H: Solve systems of linear equations involving two variables graphically and symbolically.

Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A

4.I: Model and solve problem situations involving direct and inverse variation.

Determining a Spring Constant
Direct Variation
Direct and Inverse Variation

4.J: Describe 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

5: Data Analysis and Probability

5.A: Create, interpret and use graphical displays and statistical measures to describe data; e.g., box-and-whisker plots, histograms, scatterplots, measures of center and variability.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Histograms
Line Plots
Mean, Median and Mode
Populations and Samples
Scatter Plots - Activity A
Solving Using Trend Lines

5.B: Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Populations and Samples
Scatter Plots - Activity A
Stem-and-Leaf Plots

5.C: Compare the characteristics of the mean, median and mode for a given set of data, and explain which measure of center best represents the data.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Populations and Samples

5.D: Find, use and interpret measures of center and spread, such as mean and quartiles, and use those measures to compare and draw conclusions about sets of data.

Box-and-Whisker Plots
Correlation
Line Plots
Mean, Median and Mode
Populations and Samples
Solving Using Trend Lines

5.G: Describe sampling methods and analyze the effects of method chosen on how well the resulting sample represents the population.

Polling: Neighborhood

5.H: Use counting techniques, such as permutations and combinations, to determine the total number of options and possible outcomes.

Binomial Probabilities
Permutations
Permutations and Combinations

5.I: Design an experiment to test a theoretical probability, and record and explain results.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

5.J: Compute probabilities of compound events, independent events, and simple dependent events.

Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Independent and Dependent Events

5.K: Make predictions based on theoretical probabilities and experimental results.

Geometric Probability - Activity A
Probability Simulations
Theoretical and Experimental Probability