### 1: Sequences and Data Tables

#### 1.1: Use words and algebraic expressions to describe the data and the interrelationships in a given table with rows that are not related recursively (not calculated from previous data).

Compound Interest

Points, Lines, and Equations

#### 1.2: Use words and algebraic expressions to describe the data and the interrelationships in a given table with rows that are related recursively (calculated from previous data).

Geometric Sequences

#### 1.3: Choose, justify and apply sampling techniques that will result in an appropriate, unbiased sample from a given population.

Polling: City

Polling: Neighborhood

Populations and Samples

#### 1.4: Defend or oppose inferences and generalizations about populations, based on data from samples.

Polling: City

Polling: Neighborhood

Populations and Samples

#### 1.5: Create and modify tables from both recursive and nonrecursive situations.

Geometric Sequences

#### 1.7: Generate number patterns exhibiting arithmetic growth.

Finding Patterns

#### 1.8: Use expressions to represent general terms and sums for arithmetic growth, and apply these expressions to solve problems.

Arithmetic Sequences

### 2: Algebraic Expressions

#### 2.1: Factor polynomial expressions of the form ax² + bx + c, and a²x² − b²y².

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

#### 2.3: Divide an integral polynomial by a binomial, and express the result in the forms:

2.3.1: P/D = Q + R/D

Dividing Polynomials Using Synthetic Division

### 3: Line Segments and Graphs

#### 3.2: Solve problems involving distances between points in the coordinate plane.

Circles

Distance Formula

#### 3.4: Solve problems involving rise, run and slope of line segments.

Slope

#### 3.5: Determine the equation of a line, given information that uniquely determines the line.

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

### 4: Relations and Functions

#### 4.3: Describe a function in terms of:

4.3.1: ordered pairs

Introduction to Functions

Points, Lines, and Equations

4.3.2: a rule, in word or equation form

Absolute Value Equations and Inequalities

Introduction to Functions

Linear Functions

4.3.3: a graph.

Exponential Functions

Introduction to Exponential Functions

Introduction to Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Radical Functions

#### 4.5: Determine the domain and range of a relation from its graph.

Introduction to Functions

Logarithmic Functions

Radical Functions

#### 4.6: Determine the following characteristics of the graph of a linear function, given its equation:

4.6.1: intercepts

Exponential Functions

Linear Functions

4.6.3: domain

Exponential Functions

4.6.4: range.

Exponential Functions

#### 4.7: Use direct variation, partial variation and arithmetic sequences as applications of linear functions.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Direct and Inverse Variation

### 6: Measurement and Trigonometry

#### 6.1: Solve problems involving two right triangles.

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Similarity in Right Triangles

#### 6.2: Extend the concepts of sine and cosine for angles from 0° to 180°.

Cosine Function

Sine Function

Correlation last revised: 1/23/2020