Illustrative Mathematics
Gotham City Taxis
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...
EngageNY
Changing Scales
Pupils determine scale factors from one figure to another and the scale factor in the reverse direction. Scholars compute the percent changes between three figures.
Radford University
How Tall is the Tree?
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...
Curated OER
Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction activity, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
Curated OER
Discovering a Law of Space Physics
Young scholars use data collected by an astronomer to determine the relationship between the time it takes the planet to orbit the sun and the average radius of the planet's orbit around the sun. Students use trial and error to find the...
Illinois State Board of Education
Is It Linear?
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
Curated OER
Mission: Possible
Students explore the concept of scale. In this scale lesson plan, students are given directions scaled in inches and students must convert them to feet. Students take a section of a map and create a bigger scaled model of the section.
Curated OER
Is There A Formula for People?
Students explore proportions which are typical of the human body. Given a list of classic proportions from earlier centuries, students work in pairs to test the validity of the proportions. Pupils share their personal measurements. ...
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
One Size Fits All, Part 1
Can you tell how tall someone is just by looking at their feet? In this activity, young mathematicians measure their height, arm span, and foot size, graph their findings, and answer questions about how these measurements are related....
Curated OER
Mean Twisters - Mean Proportional
In this mean proportional worksheet, learners work in pairs to solve right triangle problems. They use ratios and proportions of similar triangles to determine a missing length. This two-page worksheet contains 16 problems.
Central New Mexico Community College
Percent Word Problems
Take young mathematicians' understanding of percents into the real world with this series of word problems. Involving a variety of contexts from calculating scores on math tests and savings account interest, to determining sale prices...
Curated OER
Direct, Inverse, And Joint Variation
Learners engage in a lesson plan that has them practice solving equations using multiplication and division. They practice solving problems using the properties needed and then students practice changing word problems into an equation.
Curated OER
Fraction/Decimal/Proportion Equations
In this algebra worksheet, students solve linear equations for the given variable. They use combining like terms to simplify equations. Students use opposite operations to isolate the variable.
Curated OER
Dividing
Fifth graders explore the inverse proportional relationship and direct proportional relationship. They complete division chart showing the inverse relationship and direct relationship. Students are shown that division problems can be...
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Center for Applied Linguistics
Practical Applications of Fractions, Percents, and Decimals
Young architects are prompted to design a playground in assigned groups. Using a 10 x 10 grid. Your fifth graders will apply their knowledge of fractions, percents, and decimals to the real-world task of designing a playground. Students...
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
Curated OER
The Internet Pizza Server - Creating Your Own Pizza
Young scholars create their own pizza, "order" it from the Internet, and see digitized versions. They calculate the area of various size pizzas in order to do cost analysis to determine best buys.
Math Worksheets Land
Find Percentages of Numbers - Step-by-Step Lesson
Finding a percentage of a number is a skill learners must know in order to be successful thinkers. The resource introduces this concept with a guided explanation and can be used with the additional materials as a complete lesson.
Virginia Department of Education
Similar Figures
How similar do figures have to be to be similar figures? Individuals learn to identify similar figures by verifying that angles are congruent and sides are proportional. Additionally, they match the corresponding parts of similar figures.
West Contra Costa Unified School District
Simplifying Fractions Activity
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly exhibits...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Raytheon
Probability, Percent, and Proportion
In this probability and predictions learning exercise, students read 1 page of facts, then solve 8 pages of problems related to probability, with answers keys included.