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Analyzing Linear Sequences

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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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Balanced Assessment (Algebra I, Unit 2)

Algebra I
Unit 2: Linear and Exponential Functions
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Balanced Assessment (Algebra I, Unit 2)

After this unit, how prepared are your students for the end-of-course Regents examination?  The balanced 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.  Each balanced assessment also includes a rich task to allow for multiple entry points and authentic assessment of student learning.  All elements of the balanced assessment are aligned to the NYS Common Core Learning Standards and PARCC Model Frameworks prioritization.

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Cog Railway

Algebra I
Unit 2: Linear and Exponential Functions
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Cog Railway

You can use this SVMI task to frame a conversation about the relationship between calculating rates of change and the relationships of these to graphs.

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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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Comparing Values on a Graph

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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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Connecting Sequences to Equations

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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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Courthouse Steps

Algebra I
Unit 2: Linear and Exponential Functions
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Courthouse Steps

This SVMI task contains multiple linear patterns, create an equation from one of the linear patterns and compare the patterns to predict which linear function could contain a particular output, useful transition to Unit 3 content.

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Cups

Algebra I
Unit 2: Linear and Exponential Functions
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Cups

This SVMI task allows for deeper analysis into the impact of rate of change on the outputs of a function.

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Equations and Graphs

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Equations and Graphs

Chunk a linear function by term to make connections to graphs of the same linear functions.

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Festival Lights

Algebra I
Unit 2: Linear and Exponential Functions
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Festival Lights

This is an SVMI task that is a good extension of rate of change from Unit, more quantitative focus between in and outputs.

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Finding rate of change from graphs

Algebra I
Unit 2: Linear and Exponential Functions
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Finding rate of change from graphs

These four questions can help you surface how students understand finding rate of change from a set of graphs.

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Find the y-intercept #1

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Find the y-intercept #1

Use the structure of a table to find a missing value in the table.

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