4. Linear Functions

4.01 Review: Slope as rate of change

4.02 The slope formula

4.03 Transformations of y=x

Investigation: Exploring slopes and equations of lines

4.04 Slope-intercept form

4.05 Standard form

Investigation: Relationship between shoulder span and height

4.06 Point-slope form

4.07 Graphical solutions to linear equations or inequalities

4.08 Graphing linear inequalities in two variables

4.09 Modeling linear relationships

4.10 Comparing linear relationships

4.11 Arithmetics sequences as linear functions

4.12 Graphs and characteristics of absolute value functions

United States of America NY

Algebra I

4.11 Arithmetics sequences as linear functions

Interactive practice questions

How is the common difference of an arithmetic sequence obtained?

By choosing any term after the first and subtracting the preceding term from it.

A

By choosing any term after the first and adding the subsequent term to it.

B

By choosing any term after the first and dividing it by the preceding term.

C

By choosing any term after the first and adding the preceding term to it.

D

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Outcomes

AI-F.IF.3

Recognize that a sequence is a function whose domain is a subset of the integers.

AI-F.BF.1

Write a function that describes a relationship between two quantities. ★

AI-F.BF.1a

Determine a function from context. Define a sequence explicitly or steps for calculation from a context.

AI-F.LE.2

Construct a linear or exponential function symbolically given: i) a graph; ii) a description of the relationship; iii) two input-output pairs (include reading these from a table).

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