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Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Baylor College
Heart and Lungs
With a partner, youngsters measure their pulse and breathing rates, both at rest and after running in place for a minute. While this activity is not novel, the lesson plan includes a large-scale classroom graphing activity and other...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
EngageNY
Representing Proportional Relationships with Equations
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Curated OER
Rates and Ratios 3
For this rates and ratios worksheet, students write proportions to match the given problem. They determine unit rates for a given situation. This two-page worksheet contains 4 problems. Answers are provided on the last page.
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Federal Reserve Bank
It's Your Paycheck
Beyond reading and arithmetic, one of the most important skills for graduating seniors to have is fiscal literacy and responsibility. Start them on the right financial track with nine lessons that focus on a variety of important...
Baylor College
There's Something in the Air
Clever! In order to compare indoor and outdoor dispersal rates for the movement of gases and particles through air, collaborators will participate in a classroom experiment. Set up a circular grid and set students on lines that are...
Curated OER
Compare Unit Rates
In this comparing rates worksheet, students find sets of unit rates, then compare to find which rate is higher and "explain their thinking." Answers are included on page 2.
Curated OER
Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
PBS
Soul Food Junkies: Portions
Serve up a rate of percents. The Math at the Core resource investigates the percent of daily value of sodium and saturated fats in different foods. Pupils determine the number of serving sizes they eat of popular snack foods and...
Mathematics Assessment Project
Giantburgers
Americans love burgers! Pupils determine whether a given claim about burgers is true by reasoning from the provided information. The task involves operations with scientific notation.
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Curated OER
Conversions and Rates
In this conversions and rates worksheet, middle schoolers solve 10 different word problems that include using metric conversions and rates to solve each problem. First, they determine the number of milliliters needed for the correct...
Curated OER
Rates And Unit Price
For 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
Recipe: Unit Rate
Students solve problems using ratios and proportions. In this algebra lesson, students identify the unit rate and convert between fractions and decimals. They create graphs from their data.
Curated OER
Rates in Linear Mechanical Systems
Young scholars examine factors that control rates in mechanical system. They identify units associated with speed, calculate speed of moving object, identify units associated with acceleration, and calculate acceleration of moving object.
Curated OER
Stock Swaps, Variation 2
If Microsoft wanted to take over Apple, how many shares would they need to break even? This is an ideal task for seventh graders who are studying proportional relationships and applying them to real-world scenarios. Use it as an...
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...