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.
Scholastic
Study Jams! Edges, Faces, Vertices
Before determining the classification of a three-dimensional shape, you need to know about the characteristics of a vertex, edge, and face. Go step-by-step using a prism, and discover what each aspect refers to and how it applies to...
Scholastic
Study Jams! Solid Figures
Figure out the correct name for different three-dimensional shapes by watching the presentation on solid figures. Go through the main figures and read about the characteristics of each. Finish the topic with a multiple choice online...
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...
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Balanced Assessment
Square and Circle
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to...
Noyce Foundation
Cutting a Cube
Teach the ins and outs of the cube! A series of five K–12 level activities explore the make-up of the cube. The beginning lessons focus on the vocabulary related to the cube. Later lessons explore the possible nets that describe a cube....
Noyce Foundation
Cut It Out
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out....
Noyce Foundation
Lyle's Triangles
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....
Noyce Foundation
Piece it Together
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
Beyond Benign
Hit the Deck: Area and Perimeter Review
Designing a deck sure demands a lot of math. Future engineers and architects learn about the areas and perimeters of squares, rectangles, triangles, and composite figures. They apply their new knowledge to design a deck with a specified...
101 Questions
R2D2 Post-Its
You can't go wrong with Star Wars! A video set to the Star Wars theme song presents a problem solving situation. The task? Determine how many small Post-It notes will fit on a bulletin board. The problem requires individuals to compare...
101 Questions
Sticky Stickies
Don't let your classes get stuck on area calculations—grab their attention with an inquiry-based lesson! Scholars must develop a plan to determine how may sticky notes it takes to cover the surface of a door. They decide on the...
101 Questions
A Cyclist's Marriage Proposal
One cyclist goes to great lengths to make his proposal! Your classes must figure out just what length that is. Using a map with a bike route that spells out Marry Me, learners calculate the total distance of the ride. They base their...
PBS
Accessible Shapes
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Under the Dome
Olympic Display
Design it with soda cases. After viewing a picture of a soda case display, pupils develop questions about the design using information from the teacher. Scholars use the information and their knowledge about area and multiplication to...
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...
Curated OER
Dilations and Similarity
For this dilations and similarity worksheet, pupils solve 10 different problems that include various dilations. First, they determine the scale factor of dilations found in the illustrated graphs. Then, everyone determines the...
Curated OER
The Infinite Pine Tree
For this fractions worksheet, 6th graders solve and complete 7 different problems that include fractions. First, they identify and complete the denominator for the unit fractions in each of the squares shown on the sheet. Then, students...
Curated OER
Sea Squares
For this sea squares worksheet, 10th graders solve 5 different problems that include various geometrical figures. First, they draw a number line using one color. Then, students draw 2 obtuse angles and 3 isosceles triangles with...
Curated OER
Surface Area and Volume of Cubes
In this surface area and volume learning exercise, 10th graders identify and complete 3 different problems that include determining the surface area and volume of cubes. First, they use their ruler to find the width and height of each...
Curated OER
Forming New Shapes from Old Shapes
Shapes can be joined together to make new shapes! Young geometers experience this phenomenon as they examine four shape challenges in this worksheet. Scholars create a rectangle from two right triangles and a fish from an oval and a...
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