Curated OER
The Trappings of Trapezoids
Students define trapezoids and their shapes. In this geometry lesson plan, students calculate the area of a trapezoid and a parallelogram. They use Cabri software to make investigations.
Curated OER
In the Path of the Ancients: Unearthing Formulas for Area
Learners apply the formulas for the area of parallelograms and triangles. Through guided practice, students discover the correct way to apply the formulas. Working in pairs, they write their own problems featuring the formulas.
Curated OER
Measuring with Mathematics
Eighth graders discover how the change in the dimensions of a shape cause a change in the overall area of the shape, but the perimeter stay the same. They, in groups, go out to the playground and construct large areas using stakes and rope.
Curated OER
The Old Chicken Run Problem
Sixth graders apply problem solving strategies to work with a real life situation in which they need to determine the area. They determine the area of chicken runs that are rectangular in shape when give a partial perimeter.
Curated OER
Effects of Changing Dimensions Proportionally
For this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page worksheet contains ten problems. Answers are...
Curated OER
The Pythagorean Puzzle
An engaging hands-on activity is presented. Learners of all ages are addressed in thie unique plan. K-5 learners identify, name, and define a rectangle, square, triangle, and the concept of area. Older learners prove the Pythagorean...
Illustrative Mathematics
Seeing is Believing
How many visual models can be used to show multiplication? Three basic kinds of models can be used to represent and explain the equation 4 x (9 + 2). The commentary section provides description and graphics to explain the set...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Curated OER
Division by Fractions (Part Two)
Investigate division through the use of array models. The lesson focuses on using area models to compare division as sharing with division as grouping. Students evaluate the usefulness and limitations of the two array models.
Curated OER
Chopping Cubes
Middle schoolers work in small groups to make various geometric solids with Play-Doh. They use fishing line to make cuts and observe the shapes of the cross-sections. Pupils complete an assessment in which they answer questions such as:...
American Farm Bureau Foundation for Agriculture
Shapes in Agriculture
It's time to get crafty with shapes! Your future farmers demonstrate their geometric ability by building a farm using triangles, circles, rectangles, and squares. But first, scholars take part in a brainstorm session inspired by their...
Exploratorium
Persistence of Vision
Ahoy, matey! Peer through a special telescope to explore the persistence of vision. The telescope has only a thin strip with which to view the world, but as it scans the area, your eye and brain work together to create a complete...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
Curated OER
Comparing Fractions and Equivalence
There are a few ways to practice fraction skills here, and they will all appeal to visual learners. First, mathematicians fill in blanks in two fraction number sequences. Next, they analyze two fractions marked along a number line...
Curated OER
Going to the Dogs and Horsin' Around
In these rectangle perimeter worksheets, students complete two worksheets for perimeter. Students answer four questions for each rectangular pen they create for a dog and horse pen.
Curated OER
Geometric Figures
Students compare, classify and calculate the area of geometric figures such as rectangles, squares, circles and triangles.
Curated OER
Area of Parallelograms
Seventh graders review the process of finding the area of a rectangle and complete a couple of examples as a class. They discuss what a parallelogram is and what the formula would be for finding its area. They listen to an explanation...
Curated OER
Measurement: Lesson 2
Fourth graders find the perimeter of a geometric shape by adding the lengths of the sides. They find the area of a square or rectangle by counting square units. Students use multiplication to find the area of a rectangle. They estimate...
Curated OER
Minimize Perimeter
Middle schoolers practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area....
Curated OER
Paper Pool
Students analyze the measurements of rectangles. In this analysis lesson, students will investigate patterns by looking at ratios. Students will also hypothesize the probability of a ball going into a certain pocket when playing pool....
Curated OER
Minimize Perimeter -- Lecture
Learners are introduced to the concept of perimeter. As a class, they listen to a lecture describing the derivations of a function that describes perimeter. They calculate the minimum perimeter of a rectangle and determine the numbers...
Curated OER
Interior Designer for a Day
Seventh graders organize a 20 x 17 room with a given set of furniture pieces. Arrangement is to be based on maximum comfort and practicality. This lesson is a good way to teach and reinforce the mathematical concept of area.
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