6A: Students who meet the standard can demonstrate knowledge and use of numbers and their many representations in a broad range of theoretical and practical settings. (Representations)

6A.1: Illustrate the relationship between second and third roots and powers of a number.

Square Roots

6A.3: Represent, order, and compare real numbers.

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

6B: Students who meet the standard can investigate, represent and solve problems using number facts, operations, and their properties, algorithms, and relationships. (Operations and properties)

6B.1: Compare and contrast the properties of numbers and number systems, including the rational and the real numbers.

Rational Numbers, Opposites, and Absolute Values
Solving Algebraic Equations I
Solving Algebraic Equations II

6B.2: Determine an appropriate numerical representation of a problem situation, including roots and powers, if applicable.

Operations with Radical Expressions
Square Roots
Using Algebraic Expressions

6B.4: Solve problems using simple matrix operations (addition, subtraction, scalar multiplication).

Translations

6D: Students who meet the standard can solve problems using comparison of quantities, ratios, proportions, and percents.

6D.1: Explain how ratios and proportions can be used to solve problems of percent, growth, and error tolerance.

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents, Fractions, and Decimals

6D.2: Set up and solve proportions for direct and inverse variation of simple quantities.

Direct and Inverse Variation

7A: Students who meet the standard can measure and compare quantities using appropriate units, instruments, and methods. (Performance and conversion of measurements)

7A.2: Convert between the U.S. customary and metric systems given the conversion factor.

Unit Conversions

7C: Students who meet the standard can select and use appropriate technology, instruments, and formulas to solve problems, interpret results, and communicate findings. (Progression from selection of appropriate tools and methods to application of measurements

7C.1: Solve problems using indirect measurement by choosing appropriate technology, instruments, and/or formulas.

Estimating Population Size
Perimeters and Areas of Similar Figures
Similar Figures

7C.4: Determine linear measures, perimeters, areas, surface areas, and volumes of similar figures using the ratio of similitude.

Perimeters and Areas of Similar Figures
Similar Figures

7C.5: Determine the ratio of similar figure perimeters, areas, and volumes using the ratio of similitude.

Beam to Moon (Ratios and Proportions)
Perimeters and Areas of Similar Figures
Similar Figures

7C.6: Calculate by an appropriate method the length, width, height, perimeter, area, volume, surface area, angle measures, or sums of angle measures of common geometric figures, or combinations of common geometric figures.

Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
Triangle Angle Sum

7C.7: Solve problems involving multiple rates, measures, and conversions.

Estimating Population Size
Unit Conversions

8A: Students who meet the standard can describe numerical relationships using variables and patterns. (Representations and algebraic manipulations)

8A.2: Represent and explain mathematical relationships using symbolic algebra.

Square Roots

8A.3: Model and describe slope as a constant rate of change.

Cat and Mouse (Modeling with Linear Systems)
Distance-Time and Velocity-Time Graphs
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

8A.5: Create an equation of a line of best fit from a set of ordered pairs or set of data points.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

8A.6: Simplify algebraic expressions using a variety of methods, including factoring.

Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Factoring Special Products
Multiplying Exponential Expressions
Operations with Radical Expressions
Order of Operations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

8A.9: Represent relationships arising from various contexts using algebraic expression.

Compound Interest

8B: Students who meet the standard can interpret and describe numerical relationships using tables, graphs, and symbols. (Connections of representations including the rate of change)

8B.2: Interpret the role of the coefficients and constants on the graph of linear and quadratic functions given a set of equations.

Roots of a Quadratic
Zap It! Game

8B.3: Relate the effect of translations on linear graphs and equations.

Absolute Value with Linear Functions
Introduction to Exponential Functions
Quadratics in Vertex Form
Translating and Scaling Sine and Cosine Functions

8B.5: Recognize and describe the general shape and properties of the graphs of linear, absolute value, and quadratic functions.

Absolute Value with Linear Functions
Addition and Subtraction of Functions
Exponential Functions
Function Machines 3 (Functions and Problem Solving)
Graphs of Polynomial Functions
Linear Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Slope-Intercept Form of a Line
Translating and Scaling Functions
Zap It! Game

8B.6: Approximate and interpret rates of change from graphical and numerical data.

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope

8B.7: Identify slope in an equation and from a table of values.

Cat and Mouse (Modeling with Linear Systems)
Function Machines 2 (Functions, Tables, and Graphs)
Introduction to Functions
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

8B.8: Graph absolute values of linear functions on the Cartesian plane.

Absolute Value with Linear Functions

8B.9: Recognize direct variation, inverse variation, linear, and exponential curves from their graphs, a table of values, or equations.

Absolute Value with Linear Functions
Direct and Inverse Variation
Exponential Functions
Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Modeling and Solving Two-Step Equations
Points, Lines, and Equations
Solving Equations by Graphing Each Side
Standard Form of a Line

8C: Students who meet the standard can solve problems using systems of numbers and their properties. (Problem solving)

8C.1: Describe and compare the properties of linear and quadratic functions.

Addition and Subtraction of Functions
Linear Functions

8C.2: Solve problems by recognizing how an equation changes when parameters change.

Absolute Value with Linear Functions
Introduction to Exponential Functions
Translating and Scaling Functions

8C.3: Interpolate and extrapolate to solve problems using systems of numbers.

Estimating Population Size

8C.4: Solve problems using translations and dilations on basic functions.

Absolute Value with Linear Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations

8D: Students who meet the standard can use algebraic concepts and procedures to represent and solve problems. (Connection of 8A, 8B, and 8C to solve problems)

8D.1: Solve equivalent forms of equations, inequalities, and systems of equations with fluency—mentally or with paper-and-pencil in simple cases and using technology in all cases.

Circles
Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

8D.3: Solve simple quadratic equations using algebraic or graphical representations.

Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic

8D.4: Solve problems of direct variation situations using a variety of methods.

Determining a Spring Constant
Direct and Inverse Variation

9A: Students who meet the standard can demonstrate and apply geometric concepts involving points, lines, planes, and space. (Properties of single figures, coordinate geometry and constructions)

9A.1: Describe and apply properties of a polygon or a circle in a problem-solving situation.

Chords and Arcs
Circles

9A.3: Analyze geometric situations using Cartesian coordinates.

Points in the Coordinate Plane
Slope

9A.4: Represent transformations of an object in the plane using sketches, coordinates, and vectors.

Circles
Dilations
Rotations, Reflections, and Translations
Translations

9A.5: Design a net that will create a given figure when folded.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

9A.10: Identify and apply properties of medians, altitudes, angle bisectors, perpendicular bisectors, and midlines of a triangle.

Concurrent Lines, Medians, and Altitudes
Constructing Parallel and Perpendicular Lines
Isosceles and Equilateral Triangles
Segment and Angle Bisectors
Similarity in Right Triangles
Triangle Angle Sum
Triangle Inequalities

9B: Students who meet the standard can identify, describe, classify and compare relationships using points, lines, planes, and solids. (Connections between and among multiple geometric figures)

9B.1: Solve problems using triangle congruence and similarity of figures.

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures
Similarity in Right Triangles

9B.3: Identify relationships among circles, arcs, chords, tangents, and secants.

Chords and Arcs
Inscribed Angles

9C: Students who meet the standard can construct convincing arguments and proofs to solve problems. (Justifications of conjectures and conclusions)

9C.1: Create and critique arguments concerning geometric ideas and relationships such as properties of circles, triangles and quadrilaterals.

Circles
Classifying Quadrilaterals
Concurrent Lines, Medians, and Altitudes
Inscribed Angles
Parallelogram Conditions
Polygon Angle Sum
Triangle Angle Sum

9D: Students who meet the standard can use trigonometric ratios and circular functions to solve problems.

9D.1: Determine distances and angle measures using indirect measurement and properties of right triangles.

Cosine Function
Similar Figures
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

9D.2: Solve problems using 45 degree-45 degree-90 degree and 30 degree-60 degree-90 degree triangles.

Cosine Function
Sine Function
Tangent Function

10A: Students who meet the standard can organize, describe and make predictions from existing data. (Data analysis)

10A.2: Display a scatter plot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients for bivariate measurement data using technological tools.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

10A.3: Evaluate published reports that are based on data by examining the design of the study, the appropriateness of the data analysis, and the validity of conclusions.

Polling: City
Polling: Neighborhood
Populations and Samples

10A.4: Analyze two-variable data for linear or quadratic fit.

Least-Squares Best Fit Lines
Solving Using Trend Lines

10A.5: Make decisions based on data, including the relationships of correlation and causation.

Box-and-Whisker Plots
Correlation

10B: Students who meet the standard can formulate questions, design data collection methods, gather and analyze data and communicate findings. (Data Collection)

10B.1: Describe the characteristics of well-designed studies, including the role of randomization in surveys and experiments.

Polling: City
Polling: Neighborhood

10B.2: Discuss informally different populations and sampling techniques.

Polling: City

10C: Students who meet the standard can determine, describe and apply the probabilities of events. (Probability including counting techniques)

10C.1: Determine geometric probability based on area.

Geometric Probability

10C.4: Construct empirical probability distributions using simulations.

Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

10C.5: Describe the concepts of conditional probability.

Independent and Dependent Events

10C.6: Develop an understanding of permutations and combinations as counting techniques.

Binomial Probabilities
Permutations and Combinations