University of Utah
Explore Proportional and Linear Relationships
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...
EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
Illustrative Mathematics
Comparing Speeds in Graphs and Equations
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question.
Illustrative Mathematics
Walk-a-thon 1
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
Illustrative Mathematics
Sand Under the Swing Set
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...
Illustrative Mathematics
Walk-a-thon 2
During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...
EngageNY
Constant Rate
Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
101 Questions
Super Bear
Bear with your classes as they explore unit rate and proportions using gummies! Gummy bears come in many different sizes, including a 2,250-gram super bear! The task asks learners to determine how many regular bears and how many mini...
Illustrative Mathematics
Art Class, Assessment Variation
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...
EngageNY
A Critical Look at Proportional Relationships
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...
West Contra Costa Unified School District
Using Bar Models to Solve Rate Problems
Pupils visualize distance-rate-time problems by using bar models. The lesson plan presents examples of four different types of rate problems and shows how they can be solved using bar models and equations. Each example is followed by a...
Noyce Foundation
First Rate
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...
Curated OER
Ratios, Rates, Percent and Nutrition
Examine food labels to determine percentage of fat and sugar to total calories with middle schoolers. Daily nutritional guidelines are discussed and learners will decide how well their foods fit into a healthy diet. In the provided...
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. For this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Curated OER
Word Problems Dealing with Ratio and Proportion
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
Curated OER
Rates And Unit Price
In this rates and unit price worksheet, students problem solve and calculate the answers to ten word problems and mathematical equations dealing with ratios, proportion and missing values.
Curated OER
Ratio and Proportion
In this ratio and proportion learning exercise, students solve 22 short answer and multiple choice problems. Students use rates, proportions, and ratios to solve each problem.
Curated OER
Rates and Ratios 3
In this rates and ratios instructional activity, students write proportions to match the given problem. They determine unit rates for a given situation. This two-page instructional activity contains 4 problems. Answers are provided on...
Curated OER
Solving Problems and Proportions
In this proportion worksheet, learners read story problems, identify the ratios, set them equal to each other, and solve the proportion. There are 11 story problems in this two-page worksheet.
Curated OER
Rates and Ratios
In this rates and ratio instructional activity, students determine the ratio for a given situation. They use proportions to solve problems. This two-page instructional activity contains 4 multi-step problems. Answers are provided on the...
Curated OER
Basic Skills: Unit Rates
In this unit rates learning exercise, students determine the unit rate of given data. This three-page learning exercise contains 20 problems. Answers are provided on the last page of the learning exercise.