101 Questions
Best Square
If you're a square, be the best square you can be! Young scholars develop a formula to determine the four points that make the best square that considers the area, perimeter, and other dimensions. They use their formulas to rank attempts...
101 Questions
Circle-Square
How do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the...
101 Questions
Best Triangle
What makes an equilateral triangle equilateral? It turns out it's much more than just the side lengths! Learners analyze four different triangles to determine the best equilateral triangle. They create a formula that they later use to...
Yummy Math
A Cardioid for Valentine’s Day
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
Big Learning
The Antarctica Project: A Middle School Mathematics Unit
Antarctica is a big place, large enough to provide ample opportunities to learn about math. A two-week unit teaches middle school mathematics concepts using project-based learning. The resource covers functions, geometry (area,...
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.
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
EngageNY
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson plan focuses on expressions related to geometry, such...
EngageNY
Problem Solving and the Coordinate Plane
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter and...
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...
Curriculum Corner
Academic Math Vocabulary
The ABCs of math are so important. Find commonly used math terms in a 42-page packet. Each page has the word, a place to write the definition, and a place to give specific examples of the term. A must-have for all math classrooms!
EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Virginia Department of Education
Area and Perimeter
Develop a strategy for finding the area and perimeter of irregular figures. Building on an understanding of finding area and perimeter of rectangles and triangles, learners apply the same concepts to composite figures. After practicing...
Balanced Assessment
Blirts and Gorks
Start a trend by using blirts and gorks as your standard unit of measures. The activity asks learners to take a known measures of blirts and gorks and develop a conversion ratio. Individuals use both perimeter and area measures of...
Balanced Assessment
Scaling the Stars
Examine ratio and scale through coordinate geometry. Scholars use two diagrams of different scale to calculate perimeter and area. Then, individuals use the perimeters and areas to find ratios.
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 create...
Open Text Book Store
Arithmetic for College Students: Worksheets
Loaded with concepts ranging from multiplying decimals to converting units to solving problems using the order of operations, a thorough practice packet is perfect for a fifth or sixth grade math classroom.
Illinois Valley Community College
STEM Activities for Middle School Students
Use STEM activities within the class to provide connections to concepts. The resource includes activities that range from working with buoyancy to building rockets and launching them. Other activities involve the engineering design...
Balanced Assessment
Square in Square
Challenge the class to devise a method to determine the dimensions of a rectangle inscribed in another rectangle. Pupils make connections between functions and geometry as they examine the area and perimeter of a square or rectangle...
Yummy Math
How Much Wrapping Paper Can You Save?
Give the ultimate gift this holiday season: Christmas-themed math skills! Young gift givers calculate the amount of wrapping paper that should be used for a particular wrapping method.
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Bowland
Torbury Festival
Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans.