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Lesson Plan
EngageNY

From Ratio Tables to Double Number Line Diagrams

For Teachers 6th Standards
How much sugar is in one bottle? Pupils use double number line diagrams to determine the amount of sugar in a 1L bottle of cola. The teacher leads a discussion on ways that double number lines can be of assistance in solving a...
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Lesson Plan
Mathalicious

Been Caught Stealing

For Teachers 6th - 8th Standards
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a lesson that explores right triangles and measurement. Full of discussion questions and fun...
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Interactive
PBS

Real-World Ratio and Rate Reasoning: How to Power the Skate Park

For Students 5th - 6th Standards
Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...
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Instructional Video3:44
PBS

Real-Life Math — Production Scheduler

For Students 6th Standards
Use unit rates to find the number of parts needed to produce a given number of units. A production scheduler shares the different ways schedulers use math to ensure the required amount of parts are available to manufacture air...
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Activity
101 Questions

Print Job

For Teachers 6th - 8th Standards
A watched printer never finishes—or does it? Engage your classes in a ratio and proportion task that asks them to predict how long it takes to print the numbers one through 88 on 88 sheets of paper. They use video to determine the rate...
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Activity
101 Questions

Sugar Packets

For Teachers 6th - 8th Standards
Depending on your eating habits, you just may not want to know the answer to the inquiry-based question! The task is to determine the number of sugar packets in one 20-ounce soda. Learners use nutritional information from the sugar and...
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Activity
101 Questions

Leaky Faucet

For Teachers 6th - 8th Standards
A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...
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Worksheet
Teacher Created Resources

How to Calculate Discounts and Sales

For Students 4th - 6th Standards
Teach discounts and sales with a straightforward worksheet. After reviewing the concept, pupils solve word problems related to dollars and percentages. The second half of the sheet prompts learners to continue solving problems related to...
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Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units

For Teachers 6th Standards
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...
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Lesson Plan
EngageNY

From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane

For Teachers 6th Standards
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
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Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios II

For Teachers 6th Standards
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions. 
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Lesson Plan
EngageNY

Equivalent Ratios

For Teachers 6th Standards
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...
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Lesson Plan
EngageNY

Problem Solving Using Rates, Unit Rates, and Conversions

For Teachers 6th Standards
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
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Lesson Plan
EngageNY

Comparison Shopping—Unit Price and Related Measurement Conversions II

For Teachers 6th Standards
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...
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Lesson Plan
EngageNY

A Synthesis of Representations of Equivalent Ratio Collections

For Teachers 6th Standards
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
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Lesson Plan
EngageNY

The Structure of Ratio Tables—Additive and Multiplicative

For Teachers 6th Standards
Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or...
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Lesson Plan
EngageNY

Equivalent Ratios Defined Through the Value of a Ratio

For Teachers 6th Standards
Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within...
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Lesson Plan
EngageNY

Equivalent Ratios II

For Teachers 6th Standards
What is the connection between equivalent ratios? Class members first find the multiplication factor used to create equivalent ratios. Next, they take that information to determine whether ratios are equivalent. The second lesson on...
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Worksheet
Worksheet Web

Learning About Rate

For Students 5th - 7th Standards
After reading a one-page passage on how to understand and solve distance/rate problems, young mathematicians answer six word problems that have them correctly set up the formula in order to solve for the distnace, rate, or time in the...
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Assessment
1
1
Balanced Assessment

Shirts and Flags

For Students 9th - 12th Standards
Learn the importance of geometry to tailors. Given a shirt sewing pattern, scholars determine the actual size of the shirt. After which they answer questions that require problem solving and extending their understanding of scale.
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Assessment
1
1
Balanced Assessment

Multi-Figures

For Students 9th - 12th Standards
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
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Assessment
1
1
Balanced Assessment

Scaling the Stars

For Students 9th - 12th Standards
Examine ratio and scale through coordinate geometry. Scholars use two diagrams of different scale to calculate perimeter and area. Then, individuals use the perimeters and areas to find ratios.
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Lesson Plan
Los Angeles Unified School District

It’s the Right Thing

For Students 6th - 8th Standards
Measure that shadow, and you'll find the height of the building! Learners study concepts related to right triangles during this extended unit project. They identify right triangles in the world, find heights of objects using similar...
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Activity
Teach Engineering

Enough Energy? Play the Renew-a-Bead Game

For Teachers 6th - 8th Standards
Pairs simulate the energy usage of different countries by drawing beads from a bag, which contain different beginning ratios of non-renewable and renewable energy resources. The activity concludes with a series of questions to tie...