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...
Noyce Foundation
Truffles
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
Curated OER
Estimating Deer Population
Students calculate the deer population using proportion. In this algebra lesson, students apply the concept of ratio and proportion to real life scenario.
Curated OER
Using Ratios to Taste the Rainbow
Students solve problems using ratios and proportion. In this algebra lesson, students analyze skittles and their different colors as they apply the properties of ratios and proportions to solve their problems.
Curated OER
Perfumania
High schoolers identify various geometric shapes. Apply the given formulas to determine the volume of these shapes. Design their own container to conform to specifications provided. Use their knowledge of volume formulas and shapes to...
Curated OER
Math Regents Exam Questions: Verbal Problems Involving Ratio
In this ratios worksheet, students solve 6 multiple choice and short answer word problems. Students use ratios of boys to girls and deer to foxes to find the number of boys, girls, deer, and foxes in a given population.
Curated OER
Bead It!
Fourth graders use colored beads in two problems and explore the use of proportional reasoning as a problem solving method. Working Students, in groups, explain their reasoning strategies orally, and through drawings.
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.
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question — great...
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
Radford University
Sleep and Teen Obesity: Is there a Correlation?
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
University of Colorado
Can Photosynthesis Occur at Saturn?
In the 19th activity of 22, learners determine if distance from a light source affects photosynthesis. Participants capture oxygen in straws and find that the amount of water the gas displaces is proportional to the rate of photosynthesis.
Illustrative Mathematics
Harvesting the Fields
This problem involving rates may look simple at first, but it is actually quite challenging. Two different sized fields are harvested by a team of workers and learners must use different rates to calculate the number of workers on the...
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
Illustrative Mathematics
Kimi and Jordan
Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks students to determine how the incomes of the two workers...
Curated OER
Comparing Candy Bars
Eighth graders identify that a ratio is a comparison of two numbers and that a proportion is an equation that equates two ratios. They identify the extremes and means of proportions, as well as the product of the extremes equals the...
Curated OER
Reaching New Heights
Students explore the relationship between two variables. Students measure their arm span and height. They gather this class data to design a scatter plot. Students interpret the meaning of individual coordinates and the overall graph....
Curated OER
Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
Curated OER
Direct Variation
In this direct variation worksheet, 11th graders solve 11 different problems that include applying direct variation to solve. First, they find the constant of the variation described. Then, students use the charts at the bottom of the...
Curated OER
"If You Hopped Like a Frog" by David M. Schwartz
Students search for and generalize an algebraic pattern. They make and analyze a coordinate graph.
Kenan Fellows
Isotopic Pennies
Many people confuse atomic mass and atomic numbers. The sixth of seven lessons in a unit requires scholars to find the weight of different groups of pennies. Then, they must solve how many of each type of penny exists in a closed system...