Perimeter and Area - Lesson Plan [Show Teaching Plan Only]

Objectives

Perimeter:

Area:

Teaching Plan

This eModule is split into two lessons, each with multiple activities.

Perimeter (50 minutes)

What is Going Around?

The objectives of the first lesson is for students to construct the concept of perimeter and determine the perimeter of given figures.

  1. (3 activities) Students are presented with a real-life situation and two geoboard examples to help them gain an understanding of the concept of perimeter.
  1. (1 activity) Students are presented the definition of perimeter.

    They are then guided through the process of determining the perimeter of a polygon on a grid.

  1. (1 activity) Students are guided through the process of determining the perimeter of a real-life object.

    They are then asked about other objects that need the perimeter calculated.
  1.  Students are asked to explore the relationship between shape size and perimeter between a triangle and rectangle.
 
  1. (1 activity) Students explain relationships they have observed about shape size and their perimeter.
  1. (1 activity) Students are presented a mnemonic device for remembering the definition of perimeter.

    They are then given practice determing the perimeter of shapes without diagonals.

Measuring Perimeters

The objective of the second lesson is to give students practice determining the perimeter of figures.

  1. (4 activities) Students determine the perimeter of various figures on a gird.
  1. (1 activity) Students calculate the perimeter of real-world objects given lengths of sides.
 
  1. (1 activity) Students pick 2 of 3 shapes with matching perimeter.

Creating Shapes of a Given Perimeter

The objective of the third lesson is to have students create shapes of a given perimeter.

  1. (2 activities) Students create shapes of a given perimeter.
  1. (1 activity) Students explore the idea of shapes with odd perimeters on a geoboard.
  1. (1 activity) Students create a figure similar to a given figure, but with a different perimeter.
  1. (1 activity) Students create letters of the alphabet with a given perimeter.
  1. (2 activity) Students create a figure with half the perimeter of a given figure.

Quiz

  1. As the need arises, review concepts and processes with the class before having students complete the quiz.
  1. (5 activities) Students find perimeters of shapes and construct figures of a given perimeter.

Area (50 minutes)

What Is Inside?

The objectives of the first lesson is for students to construct the concept of area or rectangles and determine the area of given shapes using a gird.

  1. (3 activities) Students are presented with a real-life situation to gain an understanding of the concept of area.
  1. (1 activity) Students explain relationships they have observed about shapes and their area.
  1. (1 activity) Students are presented the definition of area.

    They are then allowed to practice measuring the area of rectangles.

Measuring Area

The objective of the second lesson is to give students practice determining the area of rectangular figures.

  1. (4 activities) Students determine the area of various figures on a grid.
  1. (1 activity) Students pick 2 of 3 shapes with matching area.

Creating Shapes of a Given Area

The objective of the third lesson is to help students create shapes of a given area.

  1. (4 activities) Students create shapes of a given area.
  1. (1 activity) Students create a figure similar to a given figure, but with a different area.
  1. (1 activity) Students create letters of the alphabet with a given area.

Rectangular Area Formula

The objective of the fourth lesson is to help students discover the rectangular area formula.

  1. (2 activities) Students find the area of a series of rectangles that are fixed in width but increasing in length.

    Students are asked to describe the pattern between the length, width, and area.

  1. (1 activity) Students are presented the rectangular area formula.
  1. (1 activity) Students practice finding the area of rectangles with the help of a rectangular array.

Comparing Perimeter and Area

The objective of the fifth lesson is to have students explore the relationship between perimeter and area.

  1. (2 activities) Students compare rectangles, determining which is is bigger and which has the greater perimeter.

    Students explain their reasoning.
  1. (1 activity) Students are presented with a real-world scenario involving comparing perimeter and area. 
 

Quiz

  1. As the need arises, review concepts and processes with the class before having students complete the quiz.
  1. (5 activities) Students find and compare areas of shapes and construct figures of a given area.

Assessment

Each section has its own online assessment.

Credits

Lesson Design Jim Dorward, Joel Duffin, Leo Edwards
Web Development Joel Duffin, Liz Hart
Mathlets NLVM

Correlation to Standards

Correlation to Utah Standards

Correlation to Maine Standards

Correlation to North Carolina Standards

Correlation to Massachussetts Standards

Correlation to Arizona Standards