Curated OER
Ratios for Area and Volume
In this ratios for area and volume worksheet, students solve problems where they find the ratios for problems of shapes dealing with area and volume. Students complete 4 problems.
Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Curated OER
Ratios of Similar Figures
High schoolers identify the ratios of different triangles. In this geometry lesson, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Teach Engineering
Bend That Bar
Bend it, but don't break it. Groups investigate the strength of different materials. Using a procedure in the seventh segment of a 22-part series on aviation, pupils determine how far a rod will bend. They determine the strength-to-mass...
Digital Lesson
Cereal Box Surface Area
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Curated OER
Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry lesson, young scholars calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent shapes....
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
PBS
Frame Yourself: Area and Perimeter
Elementary schoolers are arranged in pairs and view the video Math Works: Measurement: The Difference Between Perimeter and Area. They discuss any prior knowledge they have of the term perimeter and then brainstorm together what the...
Curated OER
Word Problem Practice Workbook
Need worksheets that challenge your middle schoolers to apply their understanding of math? Problem solved! From integers, fractions, and percents, to algebra, geometry, and probability, over 100 pages of word problem worksheets...
PBS
Real-World Ratio and Rate Reasoning: How to Power the Skate Park
Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...
PBS
The Lowdown — Living Wages in CA: Ratio and Rate in the Real World
How much money is enough money? Future wage earners explore the minimum hourly wage and then use it to calculate monthly and yearly earnings. They use an interactive to consider living costs and determine whether earning a minimum wage...
Noyce Foundation
Cereal
Find the best protein-packed cereal. The short assessment task covers equivalent and comparing ratios within a context. Pupils determine the cereal with the highest ratio of protein. A rubric helps teachers with point allotments for...
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...
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
Curated OER
Integrating Gandhian Principles of Communal Unity in Mathematics
Fourth through sixth graders incorporate Gandhian principles into Math curriculum. They explore Gandhi's teachings on communal unity and economic equality. This has quite a bit of information about Gandhi and his observations and...
Radford University
How do I Create a Scaled Model of a Full-Sized Basketball Court?
Take mathematics to the hoop! Pairs first measure the linear distances on a basketball court. Using those measurements, they determine the scale lengths to create a scaled model. To finish the activity, learners create models of the...
Curated OER
Scale Drawing: Perimeter and Area of a Room
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
Curated OER
Measurement and Conversion of Units in a Recipe
In a cross-curricular measurement and literacy lesson, your class will identify and compare cooking measurement instruments. They read a recipe and sequence a set of similar instructions in which the steps have been mixed up....
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Willow Tree
Perimeter of Common Geometric Figures
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...