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

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.

(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 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 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.
Students are asked to explore the relationship between shape size and perimeter between a triangle and rectangle.
(1 activity) Students explain relationships they have observed about shape size and their perimeter.
(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.

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

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

Quiz

As the need arises, review concepts and processes with the class before having students complete the quiz.
(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.

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

(4 activities) Students determine the area of various figures on a grid.
(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.

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

(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 activity) Students are presented the rectangular area formula.
(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.

(2 activities) Students compare rectangles, determining which is is bigger and which has the greater perimeter. Students explain their reasoning.
(1 activity) Students are presented with a real-world scenario involving comparing perimeter and area.

Quiz

As the need arises, review concepts and processes with the class before having students complete the quiz.
(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

Correlation to Standards

Correlation to Utah Standards

• 2.IV.2.f Determine the perimeter of a square, triangle, and rectangle by measuring with nonstandard units.
• 3.IV.2.h Estimate and measure the perimeter and area of rectangles by measuring with nonstandard units.
• 4.IV.2.g Determine possible perimeters, in whole units, for a rectangle with a fixed area and determine possible areas when given a rectangle with a fixed perimeter.
• 5.IV.2.f Calculate the perimeter of rectangles and triangles.
• 6.IV.2.e Calculate the areas of triangles, rectangles, and parallelograms using given formulas.
• 7.IV.2.3 Develop formulas for the area of parallelograms (including rectangles and squares) and triangles.
• 7.IV.2.4 Determine perimeters of polygons and circumferences of circles; areas of triangles, parallelograms, and circles; volumes of right rectangular and triangular prisms and cylinders; and surface areas of right rectangular and triangular prisms and cylinders using formulas.

Correlation to Maine Standards

• F.3-4.1 Solve and justify solutions to real-life problems involving the measurement of time, length, area, perimeter, weight, temperature, mass, capacity, and volume.
• F.5-8.3 Demonstrate an understanding of length, area, volume, and the corresponding units, square units, and cubic units of measure.
• F.S.2 Derive and use formulas for area, surface area, and volume of many types of figures.

Correlation to North Carolina Standards

• 4.2.01 Develop strategies to determine the area of rectangles and the perimeter of plane figures.
• 4.2.02 Solve problems involving perimeter of plane figures and areas of rectangles.
• 6.2.01 Estimate and measure length, perimeter, area, angles, weight, and mass of two- and three-dimensional figures, using appropriate tools.
• 6.2.02 Solve problems involving perimeter/circumference and area of plane figures.

Correlation to Massachussetts Standards

• 2.M.6 Make and use estimates of measurement, including time, volume, weight, and area.
• 4.M.4 Estimate and find area and perimeter of a rectangle, triangle, or irregular shape using diagrams, models, and grids or by measuring.
• 6.M.1 Apply the concepts of perimeter and area to the solution of problems. Apply formulas where appropriate.
• 6.M.4 Find areas of triangles and parallelograms. Recognize that shapes with the same number of sides but different appearances can have the same area. Develop strategies to find the area of more complex shapes.
• 8.M.3 Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms, cylinders, and spheres. Use technology as appropriate.

Correlation to Arizona Standards

• S1.C3.G4.PO 4 Estimate and measure for area and perimeter.
• S1.C3.G5.PO 4 Estimate and measure for area and perimeter of polygons using a grid.
  
• S4.C4.G3.PO 9 Determine the perimeter using a rectangular array.
  
• S4.C4.G3.PO 10 Determine the area using a rectangular array.
• S4.C4.G4.PO 8 Determine the perimeter of simple polygons. (e.g., square, rectangle, triangle)
• S4.C4.G4.PO 9 Determine the area of squares and rectangles.
• S4.C4.G5.PO 5 Solve problems involving the perimeter of convex polygons.
  
• S4.C4.G5.PO 7 Solve problems involving the area of simple polygons.
• S4.C4.G6.PO 6 Solve problems involving the perimeter of polygons.
  
• S4.C4.G6.PO 9 Solve problems for the areas of parallelograms (includes rectangles).
• S4.C4.G6.PO 10 Identify parallelograms having the same perimeter or area.
• S4.C4.G7.PO 6 Solve problems for the areas of parallelograms, traingles, and circles.
• S4.C4.G7.PO 7 Identify polygons having the same perimeter or area.
• S5.C1.G5.PO 3 Develop an algorithm or formula to calculate areas of simple polygons.