University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
Having problems with proportions? Then solve these proportion problems with an exercise that asks learners to first individually solve a set of problems involving ratios and proportional reasoning. Groups then discuss provided sample...
Balanced Assessment
Square and Circle
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to create...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Curated OER
Relate Fractions, Decimals, and Percents practice 19.2
In this relating fractions, decimals, and percents worksheet, learners recognize the relationships, complete a table with missing fraction, decimal, and/or percent, write fractions in simplest forms, and solve algebraic equations and two...
Curated OER
Baseball Relationships - Using Scatter Plots
Students use graphing calculators to create scatter plots of given baseball data. They also determine percentages and ratios, slope, y-intercepts, etc. all using baseball data and statistics.
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Curated OER
Stoichiometry Problems
A cookie recipe is displayed as an example of proportional relationships, a clever way to introduce your chemists to stoichiometry! The steps of stoichiometry are listed, molar volume is explained, and then several stoichiometry problems...
Curated OER
Proportions
In this proportions worksheet, students solve and complete 7 various types of problems. First, they determine the better buy based on the information provided for each word problem. Then, students find the value of a variable given its...
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
EngageNY
Efficacy of Scientific Notation
How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
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...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
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
PrimeTime Math: Cliffbound!
Students are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
Curated OER
Jazz and Math: The Beat Goes On
Students collect real data through listening, counting and timing jazz pieces.They use ratios, rates, and proportions to report collected data and demonstrate an understanding of the concepts of rhythm and tempo in music.
Curated OER
Origami Cube
Learners compare two lengths using the area of a square. In this geometry lesson, students solve problems using ratio and proportion of the two shapes. They solve equations by taking the square root of both sides.
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
Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Curated OER
Fashion Sense and Dollar Wise
Students work in groups to show understanding of the relationship between fractions, decimals, percentages, and the application of ratios and proportions. In this decimals, fractions, and percents lesson, students use real life consumer...
Curated OER
Skittle Math
In this skittle math worksheet, students sort skittles by color and create a bar graph for each color of skittle. Students also answer comparison, ratio, and relationship questions about the skittles.