Lesson Plan
Illustrative Mathematics

Ratio of Boys to Girls

For Teachers 5th - 7th Standards
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
Lesson Plan
Illustrative Mathematics

Price per Pound and Pounds per Dollar

For Teachers 5th - 7th Standards
Help learners understand the concept of unit rate as it is applied to buying beans at a grocery store. The objective is to determine the unit rate in two ways, and then apply each ratio to an additional problem. The attached commentary...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 1

For Teachers 5th - 7th Standards
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, young scholars will only consider two at a time, making the first...
Lesson Plan
Illustrative Mathematics

Riding at a Constant Speed, Assessment Variation

For Teachers 5th - 7th Standards
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
Lesson Plan
Illustrative Mathematics

Two-School Dance

For Teachers 7th - 9th Standards
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 2

For Teachers 5th - 7th Standards
Here is another opportunity for math learners to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 3

For Teachers 5th - 7th Standards
Get your learners to think outside the box. Students require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes for...
Lesson Plan
Illustrative Mathematics

Jim and Jesse's Money

For Teachers 5th - 7th Standards
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
Activity
Illustrative Mathematics

Sand Under the Swing Set

For Teachers 7th - 9th Standards
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Lesson Plan
Illustrative Mathematics

Molly's Run, Assessment Variation

For Teachers 6th - 8th Standards
Part of as assessment series, the activity follows the lesson plan Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how...
Lesson Plan
Illustrative Mathematics

Cooking with the Whole Cup

For Teachers 6th - 7th Standards
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
Lesson Plan
Curated OER

Stadiums in America

For Teachers 7th - 10th
Let's play ball! A great springtime activity to learn about ratios. This activity challenges learners to draw stadiums to scale on standard letter paper and also on construction paper. This three-day lesson plan includes a pre-assessment...
Worksheet
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Curated OER

Ratios and Proportions

For Students 7th - 10th Standards
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Interactive3:32
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Scholastic

Study Jams! Proportions

For Students 4th - 7th Standards
Join Zoe and Sam as they use proportions to budget money for their Green Earth Club. Watch as they set up and solve a series of proportions using cross multiplication and division. A great resource that brings together prior knowledge of...
Lesson Plan
Curated OER

Our Solar System - Comparing Planetary Travel Distances

For Teachers 7th - 8th
NASA presents a mini-unit on distances in our solar system. It incorporates scientific concepts of gravity, mass, density, and payload while your aspiring astronauts also employ mathematics skills. They calculate speed, they determine...
Interactive
Scholastic

Study Jams! Rate

For Students 4th - 6th Standards
Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...
Lesson Plan
Curated OER

Probability

For Teachers 5th - 6th
Using real life examples, learners discuss probability and ratios. They begin by answering a set of questions, and then participate in a probability activity involving a bag of colored cubes.
Lesson Plan
Illustrative Mathematics

Art Class, Assessment Variation

For Teachers 7th - 9th Standards
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
Lesson Plan
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Wordpress

Introduction to Exponential Functions

For Teachers 8th - 10th Standards
This instructional activity begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task....
Lesson Plan
Curated OER

Candy Machine

For Teachers 6th - 7th Standards
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...
Lesson Plan
Illustrative Mathematics

Molly's Run

For Teachers 6th - 8th Standards
A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...
Lesson Plan
Illustrative Mathematics

Buying Protein Bars and Magazines

For Teachers 6th - 8th Standards
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Lesson Plan
Illustrative Mathematics

Fruit Salad

For Teachers 5th - 7th Standards
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...

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