1: Number and Operations

1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

1.1.A: Read, write and compare numbers

1.1.A.1: compare and order rational and irrational numbers, including finding their approximate locations on a number line

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers

1.2: Understand meanings of operations and how they relate to one another

1.2.C: Apply properties of operations

1.2.C.1: apply properties of exponents (including order of operations) to simplify expressions

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

1.3: Compute fluently and make reasonable estimates

1.3.E: Use proportional reasoning

1.3.E.1: solve problems involving proportions

Estimating Population Size

2: Algebraic Relationships

2.1: Understand patterns, relations, and functions

2.1.B: Create and analyze patterns

2.1.B.1: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

2.1.D: Identify and compare functions

2.1.D.1: understand and compare the properties of linear and exponential functions (include intercepts)

Exponential Functions - Activity A
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on linear functions

Linear Functions
Point-Slope Form of a Line - Activity A
Roots of a Quadratic
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

2.2: Represent and analyze mathematical situations and structures using algebraic symbols

2.2.A: Represent mathematical situations

2.2.A.1: use symbolic algebra to represent and solve problems that involve linear relationships, including absolute value and recursive relationships

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Quadratic and Absolute Value Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

2.2.B: Describe and use mathematical manipulation

2.2.B.1: describe and use algebraic manipulations, including factoring and rules of integer exponents

Dividing Exponential Expressions
Exponents and Power Rules
Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Multiplying Exponential Expressions

2.2.C: Utilize equivalent forms

2.2.C.1: use and solve equivalent forms of equations and inequalities (linear)

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

2.2.D: Utilize systems

2.2.D.1: use and solve systems of linear equations with 2 variables

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

2.3: Use mathematical models to represent and understand quantitative relationships

2.3.A: Use mathematical models

2.3.A.1: identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem

Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Logarithmic Functions - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function

2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: analyze linear functions by investigating rates of change and intercepts

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A

3: Geometric and Spatial Relationships

3.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships

3.1.A: Describe and use geometric relationships

3.1.A.1: solve problems involving angle relationships (supplementary, complementary angles) and Pythagorean Theorem

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Investigating Angle Theorems - Activity A
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

3.1.B: Apply geometric relationships

3.1.B.1: apply geometric properties and relationships, such as similarity, to solve multi-step problems in 2 dimensions

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

3.2.A: Use coordinate systems

3.2.A.1: solve problems related to 2- dimensional objects by finding the distance on a Cartesian plane

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A

3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.A: Use transformations on objects

3.3.A.1: represent translations, reflections, rotations, and dilations of objects in the coordinate plane

Dilations
Reflections
Rotations, Reflections and Translations
Translations

3.3.B: Use transformations on functions

3.3.B.1: translate and reflect linear functions

Linear Functions
Reflections of a Linear Function
Translating and Scaling Functions

4: Measurement

4.1: Understand measurable attributes of objects and the units, systems and processes of measurement

4.1.A: Determine unit of measurement

4.1.A.1: identify and justify appropriate units of measure for velocity

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

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

4.2.C: Apply geometric measurements

4.2.C.1: determine the surface area, and volume of geometric figures, including cones, spheres, and cylinders

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

4.2.D: Analyze precision

4.2.D.1: analyze effects of computation on precision

Triple Beam Balance

5: Data and Probability

5.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

5.1.C: Represent and interpret data

5.1.C.1: select, create and use appropriate graphical representation of data

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

5.2: Select and use appropriate statistical methods to analyze data

5.2.B: Compare data representations

5.2.B.1: given one variable quantitative data, display the distribution and describe its shape

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

5.2.C: Represent data algebraically

5.2.C.1: given a scatterplot, determine an equation for a line of best fit

Correlation
Lines of Best Fit Using Least Squares - Activity A
Scatter Plots - Activity A
Solving Using Trend Lines

5.3: Develop and evaluate inferences and predictions that are based on data

5.3.A: Develop and evaluate inferences

5.3.A.1: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

Correlation
Describing Data Using Statistics
Line Plots

5.4: Understand and apply basic concepts of probability

5.4.A: Apply basic concepts of probability

5.4.A.1: construct sample spaces and distributions

Populations and Samples