# Ratios and Rates - unit rates, reducing ratios, equivalent ratios & unit prices

5th - 7th, Homeschool
Subjects
Standards
Resource Type
Formats Included
• Zip
Pages
18 pages
The Teacher-Author indicated this resource includes assets from Google Workspace (e.g. docs, slides, etc.).

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### Description

Ratios and Rates, This common core aligned Math Mystery (Grade 6) “Case of The Rogue Runner” will engage your students to practice and review ratios and rates in a fun way. In this math mystery, students must solve a variety of ratio and rate math questions to reveal clues which help them discover the identity of the Rogue Runner!

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An optional video hook is now available that you can use to set the stage to engage. It can be viewed for free at the link below:

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Preparation

- No Prep required! Print the student pages, staple or place

in a folder, and your students are set to go.

- Have the video hook ready for viewing at the start of the

lesson on an IWB, iPad or computer monitor screen.

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Math Skills Required to Unlock Clues

There are five clues to crack to solve the mystery:

- Clue 1: Writing ratios to describe objects in a picture

- Clue 2: Unit Rates

- Clue 3: Reducing Ratios

- Clue 4: Unit Prices (with fractions and decimals). I have provided a customary unit and metric unit version for this clue.

- Clue 5: Equivalent Ratios

Students must use critical thinking skills to figure out what the clue is telling them to eliminate from the list of possibilities.

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Multiple Uses

- Suitable for independent, pairs, or group work.

I recommend pacing this activity by giving students one clue at a time. Once the whole class has completed a clue, then move on to the next clue either within the same lesson or the next math session. New math content presented? Make a lesson out of it by modeling the math before diving into the clue. I like to say, "we must learn something new before attempting the next clue."

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How long will this activity take?

Time to complete will vary anywhere between 30mins - 2 hours or more! It mainly depends on how familiar your students are with the math mystery format, as well as how difficult they find math skills covered in the particular mystery. Please check the math skills outlined in the clues above to help determine suitability for your class.

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Add extra motivation with this Detective Rank Chart Download the Mystery Record & Rank Chart FREEBIE HERE

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COMPLETE Math Mystery Bundle for GRADE 6

HOLIDAY Math Mystery Bundle {GRADE 6}

SEASONS Math Mystery Bundle Pack (GRADE 6)

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Thank you!

Mrs. J.

Total Pages
18 pages
Included
Teaching Duration
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### Standards

to see state-specific standards (only available in the US).
Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
Understand the concept of a unit rate 𝘢/𝘣 associated with a ratio 𝘢:𝘣 with 𝘣 ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid \$75 for 15 hamburgers, which is a rate of \$5 per hamburger.”
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”

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