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EngageNY
Equations of Graphs of Proportional Relationships Involving Fractions
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...
Utah Education Network (UEN)
Ch 4: Ratio and Proportion
What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Tables
Learners determine whether there is a constant multiple within the table through an instructional activity that presents a method for determining whether two quantities are proportional. Pupils analyze tables to determine if they...
EngageNY
Proportional Relationships
Challenge the class to determine whether two quantities are proportional. The second lesson in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship exists, the pupils...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Tables 2
Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The lesson builds upon previous parts and has pupils analyze tables to determine whether they represent a...
EngageNY
Representing Proportional Relationships with Equations
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
EngageNY
Representing Proportional Relationships with Equations 2
Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs 2
Work together to find proportional relationships. The sixth portion of the 22-part unit is a collaborative exercise. Teams work with given representations of relationships and determine if they are proportional by creating tables and...
EngageNY
Interpreting Graphs of Proportional Relationships
What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs
Graph a relationship to find out if it is proportional. The instructional activity introduces the criteria for determining whether a relationship is a proportional relationship based on its graph. Pupils graph relationships and determine...
Curated OER
Proportionality Using Labyrinths and Mazes
Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target C
Target C from the Smarter Balanced assessment for eighth grade is understanding the connections between proportional relationships, lines, and linear equations. A slide show includes items about graphing proportional relationships and...
EngageNY
Unit Rate as the Constant of Proportionality
What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...
Mathematics Assessment Project
Classifying Proportion and Non-Proportion Situations
Proportions, proportions, everywhere. Class members complete an assessment task solving problems involving proportionality. They then complete an activity classifying given situations as proportional or non-proportional.
Centre for Innovation in Mathematics Teaching
Ratio and Proportion
Middle schoolers review the definition and rules for equivalent fractions. Additionally, they are introduced to equivalent ratios. They write examples of ratios from the board, and they come to the board to write the correct equivalent...
Common Core Sheets
Finding Amounts with Proportional Relationship
Challenging worksheets to drill your mathematicians as they crunch numbers to find the proportional relationship using fractions.
Mathed Up!
Reverse Percentages
Boost math skills and inspire scholars to show what they know with a six-page independent practice that focuses on proportional relationships and percents.
Curated OER
Savings Planning Using Tables, Line Graphs and Early Proportionality
Learners use proportional reasoning to make a chart of daily savings transactions and balances. In this accounting lesson plan, students read word problems and complete three handouts about a bidding and accounting problem. Learners...
Curated OER
Proportionality Using Wind in the Willows
Learners examine proportionality in Wind in the Willows by comparing Mr. Toad, objects proportional to him and objects proportional to humans. They then measure a stuffed Mr. Toad and make common objects proportional to Mr. Toad???s...
Skills Workshop
Ratio, Scale, and Proportion
Converting units is an excellent example of how math relates to our everyday tasks. The resource prompts mathematicians to use baking, cooking, and other daily activities to discover how to make larger quantities of...
Curated OER
The Distance Formula and Marching Nonviolently for Social Change
Students explore the distance formula using real world data from nonviolent marches for social change. In this secondary mathematics lesson plan, students investigate the marches of Gandhi and King using maps overlaid with a...
NTTI
If You Hopped Like a Frog
Get your frogs hopping by introducing them to the concepts of ratio and proportion. As a class, they perform arithmetic operations using ratios then discover how they represent quantitative relationships. In groups, they write their own...
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