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Analyzing Linear Sequences

Resource:
Analyzing Linear Sequences

Use the structure of a visual pattern to find the value of the 6th term of a linear sequence.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Comparing Interest Rates

Resource:
Comparing Interest Rates

Compare the impact of different interest rates in situations about money to the function rules modeling those situations.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Comparing Models

Resource:
Comparing Models

This Core Resource supports students in investigating, primarily using rate of change, how linear functions are different than exponential functions.

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• Unit 2

#### Linear and Exponential Functions

Comparing Rates of Change

Resource:
Comparing Rates of Change

Students start by creating definitions of linear and exponential functions by analyzing examples and non-examples of these types of functions. Students then use what they have learned about linear and exponential functions to solve word problems related to these function types. What is not covered in this resource is representing piecewise, step, or absolute functions as graphs, calculating average rate of change, and writing explicit and recursive descriptions of functions.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Comparing Rates of Change v2

Resource:
Comparing Rates of Change v2

Students compare arithmetic and geometric sequences and connect these two linear and exponential functions respectively. Students then analyze situations to determine what function type, linear or exponential, best models the situation.

What is not yet covered in this resource is representing piecewise, step, or absolute functions as graphs, calculating average rate of change, and writing explicit and recursive descriptions of functions.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Comparing Values on a Graph

Resource:
Comparing Values on a Graph

Students will make connections between examples of verbal descriptions of the relationship between x and y and their corresponding graphs, using structural elements of linear relationships.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Connecting Exponential Function Rules to Tables

Resource:
Connecting Exponential Function Rules to Tables

Use what students know about tables and finding rate of change to connect exponential functions to their function rules.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Connecting Linear and Exponential Function Rules to Tables

Resource:
Connecting Linear and Exponential Function Rules to Tables

Compare tables for linear and exponential functions to distinguish their tables and function rules.

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• Unit 2

#### Linear and Exponential Functions

Connecting Linear Function Rules to Tables

Resource:
Connecting Linear Function Rules to Tables

Use what students know about tables and rate of change to connect these tables to linear function rules.

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• Unit 2

#### Linear and Exponential Functions

Connecting Sequences to Equations

Resource:
Connecting Sequences to Equations

Students will look for connections between linear equations and visual sequences in order to learn how to chunk visual sequences and linear equations into parts that grow and parts that do not change. This involves one pair of students manipulating an interactive applet while other students watch and make their own connections with a partner.

All Resources From:
• Unit 2

#### Linear and Exponential Functions

Connecting Situations and Equations

Resource:
Connecting Situations and Equations

Describe connections between how the rate of change and initial value are represented in a situation and its function rule.

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• Unit 2

#### Linear and Exponential Functions

Connecting Transformations

Resource:
Connecting Transformations

The primary focus of this Core resource is on how linear and exponential functions can be transformed and how those transformations are represented in graphs, tables, and function rules.

All Resources From:
• Unit 2