1: Number and Operations

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 to simplify expressions or solve equations

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, exponential and quadratic functions (include domain and range)

Exponential Functions - Activity A
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on quadratic and exponential functions

Exponential Functions - Activity A
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

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 quadratic relationships, including recursive relationships

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

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 (piece-wise and quadratic)

Quadratic Inequalities - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

2.2.D: Utilize systems

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

Linear Programming - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Special Types of Solutions to Linear Systems
Systems of Linear Inequalities (Slope-intercept form) - 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
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

2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: analyze quadratic functions by investigating rates of change, intercepts and zeros

Parabolas - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

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: use inductive and deductive reasoning to establish the validity of geometric conjectures, proved theorems and critique arguments made by others

Biconditional Statement
Conditional Statement
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine

3.1.B: Apply geometric relationships

3.1.B.1: apply relationships among surface areas and among volumes of similar objects

Perimeters and Areas of Similar Figures
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.A: Use transformations on objects

3.3.A.1: use and apply constructions to represent translations, reflections, rotations, and dilations of objects

Dilations
Reflections
Rotations, Reflections and Translations
Translations

3.3.B: Use transformations on functions

3.3.B.1: translate, dilate and reflect quadratic and exponential functions

Exponential Functions - 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

3.3.C: Use symmetry

3.3.C.1: identify types of symmetries of 2- and 3- dimensional figures

Holiday Snowflake Designer

4: Measurement

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

4.2.B: Use angle measurement

4.2.B.1: solve problems of angle measure of parallel lines cut by a transversal

Investigating Angle Theorems - Activity A

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: display and analyze bivariate data where one variable is categorical and the other is numerical

Describing Data Using Statistics
Scatter Plots - Activity A

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

5.3.A: Develop and evaluate inferences

5.3.A.1: describe how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference

Populations and Samples

5.4: Understand and apply basic concepts of probability

5.4.A: Apply basic concepts of probability

5.4.A.1: describe the concepts of sample space and probability distribution

Binomial Probabilities

5.4.B: Use and describe compound events

5.4.B.1: use and describe the concepts of conditional probability and independent events

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events