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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....
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.
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It...
Curated OER
Worksheet #5: Mixture Word Problems
In this mixture word problem worksheet, students read story problems and determine what information is necessary to solve the mixture problem. They identify the correct solution, graph inequalities, and solve inequality equations. Nine...
Curated OER
Proportions in Stories
Students solve problems dealing with ratios and proportions. In this algebra lesson plan, students rewrite word problems using equations and symbols. They correctly convert between percents and decimals.
Curated OER
Algebra Match
Twelfth graders identify the parts of an algebraic equation. They consider the many uses of algebra in daily life. They play a game, Algebra Match, where student pairs work to solve equations listed on index cards.
Curated OER
Algebra: Lesson 4
Eighth graders participate in using algebraic proportional reasoning to find the missing amount that balances on a scale. Substitution is used to discover the missing objects on a scale. They answer multiple choice questions that are...
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
Students 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 compute...
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.
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 —...
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...
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.
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.
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...
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
Young scholars explore the relationship between two variables. Students measure their arm span and height. They gather this class data to design a scatter plot. Young scholars interpret the meaning of individual coordinates and the...
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
"If You Hopped Like a Frog" by David M. Schwartz
Learners 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...
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 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...