Algebra I Unit 3

Big Idea:

Calculate, interpret, and represent rate of change (slope) of functions by using tables, graphs, equations, and verbal descriptions.

Student Expectations:

Priority TEKS

A.3(B) [Readiness] calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems

Focus TEKS

A.2(C) [Readiness] write linear equations in two variables given a table of values, a graph, and a verbal description

A.2(D) [Supporting] write and solve equations involving direct variation

A.3(A) [Supporting] determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1)

A.12(C) [Supporting] identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes

A.12(D) [Supporting] write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms

Student Learning Targets:

• I will determine the slope or rate of change of a line from a graph, formula, table, or verbal description
• I will calculate rate of change in real-world situations
• I will interpret the rate of change for a function
• I will develop and use the slope formula
• I will identify slope as positive, negative, zero, or undefined
• I will distinguish between linear and nonlinear functions
• I will write and graph direct variation
• I will identify the constant of variation
• I will identify and determine values of arithmetic sequences
• I will develop and use the explicit formula and general formula of the n^th term of an arithmetic sequence
• I will identify the common difference of an arithmetic sequence

Essential Questions:

• Why do we use algebraic representations of linear equations?
• How does the slope of a line and the rate of change of a problem compare to each other?
• How are arithmetic sequences useful in real world situations?

Extra Information:

Adopted Textbook: McGraw-Hill Algebra I

District Grading Policy

Texas Gateway Online Resource Center