Polar Trec
Playground Profiling—Topographic Profile Mapping
The Kuril islands stretch from Japan to Russia, and the ongoing dispute about their jurisdiction prevents many scientific research studies. Scholars learn to create a topographic profile of a specific area around their schools. Then they...
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. For 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...
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Noyce Foundation
Poly-Gone
Investigate polygons from rectangles to triangles to octagons. Each level of the five-problem series targets a different grade level. Beginning with the level A problem, learners examine the relationship between area and perimeter by...
Radford University
2 and 3 Dimensional Shapes
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
Under the Dome
The Pythagoras Tree
View a tree designed by Pythagoras. Pupils watch a video as a tree is built by using squares representing the side lengths of a right triangle, with each side of the squares becoming the side of another triangle. Learners come up with...
Penn Museum
Penn Museum: China Gallery
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive instructional activity set, your young historians will then learn...
Concord Consortium
Rectangle Space
Take a coordinated look at rectangles. The task asks pupils to plot the length and width of created triangles in the coordinate plane. Using their plots, scholars respond to questions about rectangles and their associated points on the...
Radford University
How to Build a Happy Home
Build a complete house in just a few days. Learners create floor, roof, deck, and landscape plans for a two-story house. Scholars then use their knowledge of area formulas, trigonometric ratios, and the Pythagorean Theorem to determine...
Radford University
Remodeling a Home
Get new flooring for as cheap as possible. Given a floor plan of a house, pupils determine the area of each room and the amount of necessary flooring. They then make selections for the flooring in every space, taking a budget into...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target E
How well do your classes understand scale? You'll certainly know after they answer the set of eight questions from an informative and helpful presentation. Questions include items from coordinate geometry, similar triangles, and scale...
Curated OER
Perimeter and Area of Triangles 2
In this measurement worksheet, 5th graders study the different triangles and then use the given measurements to find the perimeter and area for each.
Curated OER
Calculating the Area of a Triangle
A quick definition and the formula for finding the area of a triangle is provided at the top of this worksheet. After reading the description, 5th graders must find the area of the 3 given triangles. This is an excellent enrichment...
Curated OER
Finding Area Using Geometry, Integrals, and Riemann Sums
For this area worksheet, students calculate area in five problems using geometry and integrals and find patterns using Riemann sums in one problem.
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Project Maths
Introduction to Trigonometry
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
Exploratorium
Viral Packaging
Create a protective protein shell as a package. Using the included template, pupils tape together 20 triangles to create a 20-sided shape to represent the protective shell of a virus. The model of the protein shell incases the nucleic...
Curated OER
Finding the Area of Triangles
Twelfth graders apply the formula for finding the area of a triangle to various problems. They work real life problems for finding the area of a bathroom and the cost of tiling it. They play a game, Triangle Bingo, where they match...
Curated OER
Pythagorean Theorem
Learners are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas of...
Curated OER
Pythagorean Theorem
Students investigate the concept of the Pythagorean Theorem. After conducting independent practice to find the hypotenuse of a triangle, they work with the teacher using examples in the lesson plan. The direct instruction is delivered...
Houghton Mifflin Harcourt
Similar Polygons and Circles
In these similar polygons and circles worksheets, students complete 15 questions including 9 word problems regarding similar polygons. Students then complete 15 questions including 1 word problem involving circumference, area, and arc...
Curated OER
What Goes Around
Fourth graders investigate the relationships between the area and perimeters of squares and rectangles. They calculate the perimeter of rectangles and squares using a formula. Students investigate the relationship between the perimeter...
Curated OER
Math Club Warm Up #17b
In this area worksheet, 6th graders solve 2 problems about area, one with a square and one with a triangle; there are 4 sheets on a page.
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