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 ax2+bx+c
Modeling the Factorization of x2+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: 9/16/2020