Curated OER
Effects of Changing Dimensions Proportionally
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page worksheet contains ten problems. Answers are included.
Curated OER
Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry instructional activity, students calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent...
Balanced Assessment
Egyptian Statue
Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.
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.
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
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...
Curated OER
The Golden Ratio
Students solve problems using ratios and proportions. For this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
Curated OER
Similarity of Length, Area, and Volume
In this similarity activity, learners determine the length, area and volume of similar figures. This three-page activity contains explanations, examples, and 20 problems. Answers are provided on page three.
Curated OER
Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are included.
Curated OER
Count The Letters
Students perform activities involving ratios, proportions and percents. Given a newspaper article, groups of students count the number of letters in a given area. They use calculators and data collected to construct a pie chart and bar...
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
Daily Time Ratios
Students track and record how much time they spend on each activity. In this spreadsheet lesson, students apply different functions using Microsoft excel to format cells and calculate the sum of their total time spent each day. They...
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
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...
Curated OER
Chapter 8 Extra Problems Worksheet: Similar Triangles
In this similar triangles worksheet, students solve 6 similar triangles. Students use proportions to solve similar triangles and similar rectangles.
Curated OER
Similarity
Students find the factor of proportionality in similar polygons. In this similarity of polygons lesson plan, students measure the sides and angles of polygons and derive a factor of proportionality between corresponding pairs of sides...
Curated OER
Investigating Area and Perimeter of Polygons.
Student sinvestigate the area and perimeter of polygons. They differentiate between similar and congruent polygons.. They identify the ratio and proportions of the sides and angles of polygons.
Achieve
Greenhouse Management
Who knew running a greenhouse required so much math? Amaze future mathematicians and farmers with the amount of unit conversions, ratio and proportional reasoning, and geometric applications involved by having them complete the...
Bowland
Design the Mascot
Explore how resizing an object affects its area. The set of lessons challenges young mathematicians to design a mascot for electronic devices. These designs undergo resizing to determine how scale factors of dilation affect area.
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
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...
Concord Consortium
Heights and Weights
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
Curated OER
A Matter of Proportion
Students measure the relative heights of the mosaic giraffe and its trainer and compare their proportions to an actual giraffe and zoo trainer.
Teach Engineering
Scale Model Project
Try your hand at scale models. Scholars create a scale model of an object using a scale factor of their choice. As part of the project, they give presentations on their processes and calculations. This is the last installment of the...