EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Illustrative Mathematics
Eight Circles
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
Illustrative Mathematics
Same Base and Height, Variation 2
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
Alabama Learning Exchange
Abundant Area
Explore the relationship between perimeter and area. Learners input the area and perimeter for shapes on the Shape Explorer website, solve problems using geoboards, complete a worksheet, create a PowerPoint presentation, and take an...
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
EngageNY
Perimeter and Area of Triangles in the Cartesian Plane
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They then...
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
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...
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a instructional activity. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and...
Alabama Learning Exchange
Triangle Area: No Height? Use the Sine
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
Curated OER
The Geometry Of An Ox Skin
High schoolers investigate the concepts of area and perimeter. The lesson plan uses a legend to create a context for the proposed word problem. They use the skill of estimation in order to create an ox skin that is found in the story.
Curated OER
Dog Pen Problem
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
Curated OER
Area Of A Circle
Students investigate the concept of area and how it can be applied to a circle. They use the right formula in order to solve different problems. The teacher leads the class through different examples and serves as a resource during...
Curated OER
Area: It's What's on the INSIDE That Counts!
Second graders participate in a series of hands-on, online and multimedia activities that examine the concept of area. They view clips from the animated series Math Monsters and discuss the purpose of area and how it is used in the real...
Curated OER
Perimeter and Area Together
Students watch a video about a skating competition. In this perimeter and area lesson plan, students watch a video on a skate off competition, draw the fields on the board and compare with the fields on the handout. Students find the...
Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
National Nanotechnology Infrastructure Network
Learning About Surface Area and Volume
Plan a dinner party. Using a book by Marilyn Burns as a context, pupils learn about the relationships between area and perimeter and surface area and volume. The hands-on activities have learners rearrange tables and cut up meatballs to...
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...
Curated OER
Area and Perimeter of Rectangles
Discover the difference between area and perimeter. Learners are grouped in twos and threes and each group has one advanced/gifted learner to serve as the peer helper. They receive manipulatives to help them determine the area and...
Curated OER
Secret Formulas
Learners calculate the perimeter of rectangles and squares. They imagine trying to build a fence around a yard or trying to determine how much paint they need to paint a room. They also develop formulas and procedures for determining the...
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