Curated OER
Learning Ratios and Proportions Through Scale Drawings
Middle and high schoolers explore the concept of scale drawings. They discuss what a scale is and that scales provide a ratio. Pupils construct a scale drawing of their classroom using graph paper.
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...
Curated OER
Ratios And Scale
young scholars investigate the concept of using a ratio in the work of construction and solve problems using real life applications. They read descriptions of how various types of construction professionals use ratios on the job. The...
Curated OER
Proportionality Using Labyrinths and Mazes
Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...
Curated OER
Scale Drawing: Insulating an Attic
Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...
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...
Curated OER
Using Ratios
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
EngageNY
Making Scale Drawings Using the Ratio Method
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements.
EngageNY
Comparing the Ratio Method with the Parallel Method
Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...
Curated OER
Scale Drawing
Students use ratio and proportions to solve problems. In this geometry instructional activity, students apply ratio and proportions to real life scenarios.
Curated OER
Lesson 3-5: Proportions and Similar Figures
In this similar figures activity, students use proportions to solve 6 short answer and multiple choice questions. Students use proportions to answer questions about map scales and height of trees given shadow lengths.
Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
Curated OER
Stadiums in America
Let's play ball! A great springtime activity to learn about ratios. This activity challenges learners to draw stadiums to scale on standard letter paper and also on construction paper. This three-day lesson includes a pre-assessment...
Curated OER
Measure for Measure
Young mathematicians work to recognize the relationship between their scale models of the Joides research vessel and the real vessel. They calculate the relationships between various parts of the ship using fractions, ratios, and...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Curated OER
Using Ratios to Taste the Rainbow
Learners 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
Scale factors: Ratios and Proportions
Learners create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
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
Unit 5: Worksheet 3 - Similar Triangles
In this similar triangles activity, learners use proportions to solve for the missing sides of similar triangles. This two-page activity contains 16 multi-step problems.
Curated OER
Measuring the Flagpole
Studets practice problem solving and comparison of quantities, ratios and prproportions. They develop a plan for determining the height of a flagpole complete with drawings and calculations. In addition, they complete a written...
Curated OER
Proportion
Students investigate proportion and ratio. In this geometry lesson, students set up the ratios of proportions correctly and solve for the unknown. They relate it to word problems.
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Radford University
The Wheels on the Bus
Find a cheaper way to keep buses going round and round. Small groups use their knowledge of ratios and proportions to find ways to save money on school transportation. The teams determine the number of miles buses currently travel by...