Balanced Assessment
Star from Square
Quilting is not only beautiful and unique—it is a mathematical art. Show your classes how to design a quilting block while practicing area and circumference of circles. Scholars create a star from a square and then find the circumference...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
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...
Concord Consortium
Three Rubber Bands
Stretch your mind about triangles. Given a triangle, scholars consider a smaller triangle formed when they stretch three rubber bands from each vertex to the opposite side. They determine the ratios of the areas and perimeters of the...
Curated OER
Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
Curated OER
Ratio of Perimeter and Area
In this similar figures worksheet, students complete a chart calculating the perimeter and area of four rectangles and then compare the ratios. There are 4 questions.
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
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...
National Nanotechnology Infrastructure Network
Silver and Bandages: Assessment of Inhibition of Bacteria by Silver Colloid-Impregnated Bandages
Silver: more than jewelry, it's also a natural antimicrobial agent. An inquiry-based lesson asks collaborative groups to design and implement an experiment to test this property. Using samples of silver nanoparticles and a strain of...
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
Texas Instruments
A Tale of Two Lines
Learners graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
Science Friday
Make a Model of a Home Made From Shipping Containers
Build a scale model of a home built out of shipping containers. A hands-on activity has scholars watch a video about a home built from shipping containers and then design their own home. They build scale models of their designed homes...
Curated OER
Ratio Analysis
Students define ratios and how they apply in a business context. They practice ratios through an activity that involves financial data.
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.
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of...
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...
Agriculture in the Classroom
A Holiday Tradition: Which Christmas Tree Will You Choose?
Different varieties of Christmas trees provide an interesting way to combine social studies, science, math, and technology. Class members not only research the history of the Christmas tree holiday tradition, they compare and...
Curated OER
Ratios in the Garden
In this ratios worksheet, students answer questions about the ratios of the area of each section of a garden and then complete their own garden in a grid. Students answer 5 questions.
Curated OER
Similarity of Length, Area, and Volume
In this similarity worksheet, students determine the length, area and volume of similar figures. This three-page worksheet contains explanations, examples, and 20 problems. Answers are provided on page three.
Curated OER
Ratio, Rates and Percentages
In this ratio, rates and percentages worksheet, 8th graders solve 22 various types of problems related to ratios, rates and percentages. They first write ratios in lowest terms and describe each of comparison stated. Students also solve...
Curated OER
Polygon Area Review Sheet
In this polygon area worksheet, students answer 8 questions involving the area of several polygons. Students are given various details of the polygon and must find lengths of various polygons.
Curated OER
Area of Polygons
In this geometry worksheet, 10th graders determine the area of regular polygons. The two page worksheet contains eight problems. Answers provided.
Curated OER
The Centroid of a Triangle
Students familiarize themselves with the construct and measure menus. They demonstrate how to use the Sketchpad Calculator. They draw a triangle and construct the centroid. They shade in each of the small triangles and measure the area.
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...