Students will investigate the concept of area of rectangular figures in real world and mathematical problems by multiplying the two sides of the figures. They will also find the lengths of the two sides and areas of the rectangular figures.
Lesson Objective: The lesson is aligned to the Common Core State Standards for Mathematics – 3.MD.7b Geometric Measurement – Multiply side lengths to find areas of rectangles in context of solving real world and mathematical problems.
Materials Required: graph paper, calculator
Lesson Procedure:
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Finding Area of Rectangular Figures in Real World Mathematical Problems
The drawing of the front view of a tower is shown on the graph paper below. The tower has 3 levels. Each level is the shape of a rectangular figure. Each unit is equal to one meter.
1. Identify the lengths of the two sides of the rectangular figures.
2. Find the areas of the rectangular figures.
3. Complete the chart.
Individual or Group Work:
The drawing of the front view of a house is shown on the graph paper at right. The house has a door, 2 windows, and a roof. All the shapes are rectangular figures. Each unit is equal to one meter.
1. Identify the lengths of the two sides of the rectangular figures.
2. Find the areas of the rectangular figures.
Complete the chart
3. Rhys’ bedroom is in the shape of a rectangle. The length of the bedroom is 10 feet. The width of the bedroom is 12 feet. What is the area of the bedroom, in square feet?
4. Jasper has a pond in his back yard. The pond is in the shape of a rectangle. The length of the pond is 6 feet. The width of the pond is 8 feet. What is the area of the pond, in square feet?
5. Jack planted a flower garden. The garden is in the shape of a rectangle. The length of the garden measures 4 feet. The width of the garden measures 5 feet. What is the area of the garden, in square feet?
Answers
The area of Rhys’ bedroom is 120 square feet.
The area of Jasper’s pond is 48 square feet.
The area of Jack’s garden is 20 square feet.
Students should be able to determine the area of rectangular figures in real world and mathematical problems by multiplying the two sides of the rectangular figures or the lengths and the widths of rectangular figures.
Download a Copy of the Lesson
Finding Area of Rectangular Figures in Real World Mathematical Problems
This post is part of the series: Grade 3 Math Lessons on Geometric Measurement
This series of lessons covers the concepts of geometric measurement for 3rd grade students. Through these lessons, students will understand concepts of area and relate area to multiplication and addition. Fulfills Common Core objectives.
- Finding the Area of Figures using Unit Squares: Grade 3 Math Lesson
- Finding the Area of Figures using Unit Squares: 3rd Grade Math
- 3rd Grade Math: Finding the Area of Rectangular Figures using Multiplication
- Finding the Area of Rectangular Figures in Real World Mathematical Problems: Grade 3 Lesson
- Finding Area using a Model of the Distributive Property: Math Lesson for Grade 3
- Finding the Area with Decomposition and Addition: 3rd Grade Math Lesson with Assessment
