Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Teach Engineering
Enough Energy? Play the Renew-a-Bead Game
Pairs simulate the energy usage of different countries by drawing beads from a bag, which contain different beginning ratios of non-renewable and renewable energy resources. The activity concludes with a series of questions to tie...
Curated OER
Similar Triangles and Trapezoids, and Circles
High schoolers answer two problems involving area of shaded regions. Learners then answers six questions involving perimeter, area, and circumferences. The remaining two questions involve ratios of similar figures.
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
Curated OER
Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
Illustrative Mathematics
Dana's House
Your class is to find the percent of the lot that is not covered by a house. Make sure your pupils understand the problems before they begin. The lot is the whole of the percent problem and the house is the part. The exercise is good...
National Sailing Hall of Fame
Sail Area Calculations
Do bigger sails mean that the sailboat goes faster? Middle and high schoolers compare sailboats, and learn that simply calculating sail area is not enough. A slideshow presentation demonstrates how to calculate the Sail...
Mathematics Assessment Project
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
Texas Instruments
Area of Circles
High schoolers explore circles. In this algebra/geometry lesson plan, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
Curated OER
Surface to Volume Ratios
High schoolers measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The lesson is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Curated OER
Explorations for the Area Probability Applet
Math whizzes use the area probability applet to manipulate the size of the circle and the rectangle to explore the probability that a point in the rectangle is also in the circle.
Curated OER
Geometry Involving Figures - Week 12 (Ratio and Surface Area)
In this ratio and surface area worksheet, students find the ratio of surface area of one figure to another. They determine the length of sides and angles through similar figures. Students use trigonometric ratios to find the length of...
101 Questions
Coin Carpet
Here's a new meaning to the expression throwing away money...a carpet of coins! An intriguing lesson requires calculations to determine the coin that would be the cheapest option, but it's a little tricky. The cost of the coin...
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.
Curated OER
Social Studies: Area and Population Density
Math scholars of many ages examine the concept of population density and then discuss the significance of the population densities of Minnesota and China. They figure the population density of their school.
Curated OER
Volume and Surface Area
Learners explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Learners discuss area.
Curated OER
Worksheet 17 - Area
In this area worksheet learners read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 6
Test your scholars' knowledge of a multitude of concepts with an assessment aligned to the California math standards. Using the exam, class members show what they know about the four operations, positive and negative numbers, statistics...
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Curated OER
Measure: Perimeter, Area and Volume
Students practice measuring with formulas. In this measurement lesson plan, students complete an activity that requires them to calculate perimeter, area, and volume.
Curated OER
Geometry: Area, Scale Factor, Circumference
In this geometry worksheet, young scholars solve 10 problems regarding area, scale factors, and circumference. Students, in 3 of the problems, are given the circumference and asked to work backwards to find missing information.
Curated OER
Circles and Squares
In this area worksheet, students find the ratio of 1 area problem. Students find the ratio of areas of inscribed circles to circumscribed squares.
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,...