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Lesson Plan
EngageNY

Using Linear Models in a Data Context

For Teachers 8th Standards
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
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Lesson Plan
EngageNY

Linear Models

For Teachers 8th
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 6

For Students 8th Standards
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
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Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
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Lesson Plan
EngageNY

Interpreting Rate of Change and Initial Value

For Teachers 8th Standards
Building on knowledge from the previous lesson plan, the second lesson plan in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses...
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Lesson Plan
EngageNY

Modeling Linear Relationships

For Teachers 8th Standards
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
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Assessment
1
1
Balanced Assessment

Bagels or Donuts

For Students 9th - 12th Standards
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
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Assessment
1
1
Balanced Assessment

Garages and Phones

For Students 9th - 12th Standards
Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.
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Lesson Plan
EngageNY

Constant Rate

For Teachers 8th Standards
Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...
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Lesson Plan
EngageNY

A Critical Look at Proportional Relationships

For Teachers 8th Standards
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
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Assessment
1
1
Balanced Assessment

Postcards from the Falls

For Students 9th - 12th Standards
Pupils use graphs to analyze two pricing schemes for postcards. After determining which is the best deal, individuals determine what is wrong with the other pricing structures and explain their thinking.
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Assessment
1
1
Balanced Assessment

Melons and Melon Juice

For Students 9th - 12th Standards
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
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Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
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Lesson Plan
EngageNY

Graphs of Linear Functions and Rate of Change

For Teachers 8th Standards
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
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Lesson Plan
EngageNY

Graphs of Functions and Equations

For Teachers 8th Standards
Explore the graphs of functions and equations with a resource that teaches scholars how to graph functions as a set of input-output points. They learn how the graph of a function is the graph of its associated equation.
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Lesson Plan
EngageNY

More Examples of Functions

For Teachers 8th Standards
Discrete or not discrete? Individuals learn about the difference between discrete and non-discrete functions in the fourth installment of a 12-part module. They classify some examples of functions as being either discrete or non-discrete.
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Lesson Plan
EngageNY

Linear Functions and Proportionality

For Students 8th Standards
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
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Lesson Plan
EngageNY

The Concept of a Function

For Students 8th Standards
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Assessment
Inside Mathematics

How Old Are They?

For Teachers 9th - 12th Standards
Here is a (great) lesson on using parentheses! The task requires the expression of ages using algebraic expressions, including the distributive property. Pupils use their expressions to determine the individual ages.
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Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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Assessment
Inside Mathematics

Graphs (2004)

For Teachers 9th - 12th Standards
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
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Assessment
Inside Mathematics

Printing Tickets

For Teachers 9th - 12th Standards
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
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Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...