6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6.A: Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.4: Identify and apply the associative, commutative, distributive and identity properties of real numbers, including special numbers such as pi and square roots.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Operations with Radical Expressions
Square Roots

6.D: Solve problems using comparison of quantities, ratios, proportions and percents.

6.D.4: Solve problems involving recipes or mixtures, financial calculations and geometric similarity using ratios, proportions and percents.

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Household Energy Usage
Part-to-part and Part-to-whole Ratios
Percent of Change
Perimeters and Areas of Similar Figures
Real-Time Histogram

7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

7.A: Measure and compare quantities using appropriate units, instruments and methods.

7.A.4b: Apply formulas in a wide variety of theoretical and practical real-world measurement applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values.

Area of Parallelograms
Cat and Mouse (Modeling with Linear Systems)
Circles
Prisms and Cylinders

7.C: Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.

7.C.4c: Convert within and between measurement systems and monetary systems using technology where appropriate.

Unit Conversions

8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

8.A: Describe numerical relationships using variables and patterns.

8.A.4b: Represent mathematical patterns and describe their properties using variables and mathematical symbols.

Square Roots

8.B: Interpret and describe numerical relationships using tables, graphs and symbols.

8.B.4a: Represent algebraic concepts with physical materials, words, diagrams, tables, graphs, equations and inequalities and use appropriate technology.

Absolute Value Equations and Inequalities
Linear Functions
Linear Inequalities in Two Variables
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Using Algebraic Equations
Using Algebraic Expressions

8.B.4b: Use the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships.

Absolute Value with Linear Functions
Addition and Subtraction of Functions
Linear Functions
Radical Functions
Translating and Scaling Functions

8.C: Solve problems using systems of numbers and their properties.

8.C.4a: Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs.

Exponential Functions
Introduction to Exponential Functions
Points, Lines, and Equations
Radical Functions
Translating and Scaling Functions
Zap It! Game

8.D: Use algebraic concepts and procedures to represent and solve problems.

8.D.4: Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequalities using graphs, tables, calculators and computers.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Roots of a Quadratic
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Linear Inequalities in One Variable
Solving Two-Step Equations
Systems of Linear Inequalities (Slope-intercept form)

9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9.A: Demonstrate and apply geometric concepts involving points, lines, planes and space.

9.A.4a: Construct a model of a three-dimensional figure from a two-dimensional pattern.

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

9.A.4b: Make perspective drawings, tessellations and scale drawings, with and without the use of technology.

Dilations

9.C: Construct convincing arguments and proofs to solve problems.

9.C.4b: Construct and communicate convincing arguments for geometric situations.

Biconditional Statements

9.D: Use trigonometric ratios and circular functions to solve problems.

9.D.4: Analyze and solve problems involving triangles (e.g., distances which cannot be measured directly) using trigonometric ratios.

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

10.A: Organize, describe and make predictions from existing data.

10.A.4a: Represent and organize data by creating lists, charts, tables, frequency distributions, graphs, scatterplots and box-plots.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Distance-Time Graphs
Least-Squares Best Fit Lines
Polling: City
Populations and Samples
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

10.A.4b: Analyze data using mean, median, mode, range, variance and standard deviation of a data set, with and without the use of technology.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

10.A.4c: Predict from data using interpolation, extrapolation and trend lines, with and without the use of technology.

Correlation
Solving Using Trend Lines
Trends in Scatter Plots

10.B: Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.4: Design and execute surveys or experiments, gather data to answer relevant questions, and communicate results and conclusions to an audience using traditional methods and contemporary technology.

Binomial Probabilities
Correlation
Polling: City

10.C: Determine, describe and apply the probabilities of events.

10.C.4a: Solve problems of chance using the principles of probability including conditional settings.

Theoretical and Experimental Probability

10.C.4b: Design and conduct simulations (e.g., waiting times at restaurant, probabilities of births, likelihood of game prizes), with and without the use of technology.

Binomial Probabilities
Geometric Probability
Independent and Dependent Events

10.C.4c: Propose and interpret discrete probability distributions, with and without the use of technology.

Polling: City