While the instructional activity focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in...

Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles.

Find the area of triangles, rectangles, and parallelograms using this metric worksheet.

Uncover strategies for finding areas of composite figures. The 23rd lesson in a 29-part module has young mathematicians decompose figures to find total area. Figures decompose to rectangles and circular regions.

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...

Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...

Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...

Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...

Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...

What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...

Third graders are challenged to draw their own rectangles given a specific area or perimeter. There are no examples of how each rectangle should look, so it is important for learners to persevere in finding a solution. There is more...

Storm into a better understanding of geometry. Using a tornado as a backdrop, scholars practice their skills finding perimeters and areas of rectangles. Learners apply their knowledge of the Pythagorean Theorem to find missing sides of...

Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...

A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...

The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...

Finding the area of a rectangle is the focus of this metric worksheet. Here, mathematicians use their knowledge of finding the area of a shape in meters to discover how much material can fit inside a shape.

Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...

Prepare for the zombie apocalypse ... by studying quadrilaterals? Given a map of an imaginary town, scholars identify quadrilaterals created by streets. They then use Google Earth and Google Maps to find parallelograms, rectangles,...

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...

Let there be plenty of light. For a perimeter of 10 feet, scholars determine the maximum area of a window composed of a rectangle and a semicircle. They draw diagrams and then write and solve equations to find the height and radius for...

Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.

Jump into equivalent fractions using these fun scenarios for mathematicians to solve. First, they use geoboards to find different ways to divide a rectangle in half. Then, an alien from the planet Fractional is after one half of their...

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...

Learners divide a poster board so everyone gets the same amount of area to decorate. Youngsters talk about the different ways to divide a rectangle. They measure their lines to make sure that each piece is equal and then decorate their...