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Workbook
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Utah Education Network (UEN)

Analyze Proportional Relationships and Use Them to Solve Real-World Problems

For Students 7th Standards
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...
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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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Workbook
1
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University of Utah

Explore Proportional and Linear Relationships

For Students 8th Standards
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 line using...
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Activity3:39
PBS

Scale City — Proportional Relationships in the Real World

For Teachers 6th - 7th Standards
Strive to determine your stride. Scholars first view an informative video on the Kentucky Horse Park and the 28-feet stride of the Man o' War. They then work together in groups to find the length of their own strides by using the number...
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Instructional Video8:27
Corbett Maths

Direct Proportion

For Students 6th - 9th Standards
Direct change by finding the constant. Using two known values within a direct proportion, the resource shows how to find the constant of proportionality. Once individuals do that, they then find any value given the other. The video works...
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Lesson Plan
02 x 02 Worksheets

Proportions

For Teachers 7th
Cut-and-paste a great activity into your lesson plans. Scholars analyze real-world problems involving proportions. To change things up a bit they cut-and-paste quantities to create a proportion on their way to solving the problems.
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Lesson Plan
EngageNY

Constant Rates Revisited

For Teachers 8th Standards
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the rates...
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Unit Plan
EngageNY

Ratios and Unit Rates

For Teachers 6th Standards
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
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Worksheet
Common Core Sheets

Finding Amounts with Proportional Relationship

For Students 4th - 6th Standards
Challenging worksheets to drill your mathematicians as they crunch numbers to find the proportional relationship using fractions.
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Interactive
CK-12 Foundation

Proportions Using Cross-Multiplication: Proportions Using Cross Product

For Students 6th - 8th Standards
Don't get it crossed—the resource is a great one. Scholars read and watch a video that explains proportions and cross products. They then use an interactive to determine that cross products are equal and answer a set of challenge...
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Lesson Plan
Illustrative Mathematics

Peaches and Plums

For Teachers 7th - 9th Standards
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing. 
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Assessment
Mathed Up!

Direct and Inverse Proportionality

For Students 8th - 11th
Direct your young mathematicians to a resource on direct and inverse variation. A video first reviews concepts on direct and inverse proportionality. Individuals then answer a set of questions in pure and applied mathematics involving...
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Lesson Plan
Illustrative Mathematics

DVD Profits, Variation 1

For Teachers 7th - 9th Standards
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
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Assessment
CCSS Math Activities

Smarter Balanced Sample Items: 7th Grade Math – Claim 3

For Teachers 7th Standards
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
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Lesson Plan
Illustrative Mathematics

Find the Change

For Teachers 7th - 9th Standards
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
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AP Test Prep7:06
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Flipped Math

Calculus AB/BC - Modeling Situations with Differential Equations

For Students 10th - 12th
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
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Lesson Plan
National Research Center for Career and Technical Education

Salads

For Teachers 9th - 12th
Lettuce talk for a moment about your culinary scholars; do they have what it takes to create a great salad? Show them the finer points of salad preparation with a career and technology lesson that combines direct instruction, creativity,...
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Lesson Plan
National Research Center for Career and Technical Education

Back to Basics

For Teachers 9th - 12th Standards
Your class will enjoy this Health Science lesson created by CTE and math teachers from Missouri. Learners make conversions between the apothecary system and metric and US standard measurements used in the healthcare field. The CTE...
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Assessment
Mathed Up!

Stratified Sampling

For Students 7th - 11th Standards
Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a worksheet of questions on this topic.
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Assessment
Mathed Up!

Functional Maths Questions

For Students 7th - 11th Standards
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
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Lesson Plan
Curated OER

Using Random Sampling to Draw Inferences

For Teachers 7th Standards
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make inferences...
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Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
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Lesson Plan
EngageNY

More About Similar Triangles

For Teachers 8th Standards
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
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Assessment
Mathed Up!

Area of Sector and Length of Arcs

For Students 9th - 12th Standards
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...

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