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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.

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• Unit 2

Linear and Exponential Functions

Common Errors in Algebra

Resource:
Common Errors in Algebra

This is a description of common understandings and misunderstandings students have in Algebra. This could be a useful read for Algebra teachers before planning a unit.

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• 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.

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• Unit 2

Linear and Exponential Functions

Comparing Rates of Change

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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.

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• 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.

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• 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.

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• 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.

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• 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.

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• 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

End of Unit Assessment (Algebra I, Unit 2)

Algebra I
Unit 2: Linear and Exponential Functions
Resource:
End of Unit Assessment (Algebra I, Unit 2)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization.

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• Unit 2