Lesson 6

Find Area

Est. Class Sessions: 2

Developing the Lesson

Part 3: Adding Fractional Parts to Find Area

Introduce Square Centimeter Halves and Fourths. Display and direct students' attention to the Square Centimeter Halves and Fourths section of the Shapes on Grids pages in the Student Activity Book. Tell them that sometimes a shape includes both whole and partial square centimeters. This page asks students to identify 1 square centimeter, a rectangular one-half square centimeter, a triangular one-half square centimeter, and a square one-fourth square centimeter. Ask students to work with a partner and see if they can find the area of each shaded shape in Questions 1–4. They can record the areas with the words "one-half" and "one-fourth." Remind them to include the unit, square centimeters.

Upon completion, discuss Questions 1–4. Question 4 is likely to require the most discussion. Divide the whole square centimeter in the question into four equal parts on the display.

  • How many of these little squares does it take to make 1 whole square centimeter? (4)
  • If the square centimeter is divided into 4 equal parts, what do you call each little part? (a fourth)
  • What is the area of the shaded shape in Question 4? (one-fourth square centimeter)
  • How many fourths are in a whole square centimeter? (4)
  • How many halves are in a whole square centimeter? (2)
  • How many fourths are in a half square centimeter? (2)

For Question 5, ask students to draw simple shapes on the grid with an area of 2 and one-half square centimeters. See Figure 9. Encourage students to create as many different shapes as they can by using whole, half, and fourth square centimeters.

  • Can you use both halves and fourths together to make a whole square centimeter? (Yes, one half and two fourths make a whole square centimeter.)

Instruct students to exchange papers and have a partner verify the areas of their shapes.

Find Area of Shapes on Grids. Assign the remaining problems, Questions 6–14, on the Shapes on Grids pages. Students find the area of shapes including shapes with half and fourth square centimeters. Remind students that they can write numbers on the shapes to help them keep track as they find the area. Circulate as students work, noting different solution strategies for Questions 11–13. Ask these students to be ready to present their solution strategies to the class.

When partitioning a shape, suggest that students make notes on the side or within the part of the shape they have counted. They can then add the areas of the different parts using any method they choose.

Use Check-In: Question 14 on the Shapes on Grids pages in the Student Activity Book to assess students' abilities to find the area of a shape that includes half square centimeters using counting, repeated addition, and reasoning strategies [E8]; compose and decompose shapes into smaller shapes [E6]; and use numbers, words, and square units to report area measurements [MPE6].

The You Make the Shape Assessment Masters provide targeted practice with finding the area of shapes that include whole and half square centimeters.

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Shapes with an area of 2 and one-half centimeters
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