Geometry Real Word Problems
Students will be able to use the length-times-width strategy to solve rectangular area problems in real-world contexts.
- Hold up a flat hand to the class and place a rectangular piece of paper over it that nearly covers its area.
- Explain how the rectangle’s area, the amount of space it takes up is approximate, or almost, the area of your hand.
- Ask the class, “What do you know about area?” and take student responses.
Explicit Instruction/Teacher Modeling(10 minutes)
- Define area as the space inside a shape. Explain that uses in life include: Carpeting a room, sodding a lawn, or building a deck.
- Show how to measure the paper rectangle with a ruler using the A = l x w formula, explaining that you are really determining how many square units are in the area. Explain that the answer will be in square units and how to write that (for example: 3cm2).
- Supply paper, rulers, and scissors to your students. Have them cut out a rectangle with approximately the same area of their hand.
- Students will measure their rectangle's area and share their calculations with a partner.
Guided Practice/Interactive Modeling(10 minutes)
- Distribute the Areas Around A Room worksheet and go over the instructions with your students.
- Complete the first exercise as a class, taking student responses and answering any clarifying questions.
Independent Working Time(15 minutes)
- Instruct students to complete the remaining exercises with a partner or in small groups.
- Students can work in teams where some members measure and others record measurements.
- Students may shadow members of another group, with the option to return to their original team.
- Provide pre-drawn rectangles using whole number sides that students may measure.
- Students may replace the Areas Around A Room exercise options with other items to measure.
- Measurements may be taken in smaller increments, like centimeters or 1/8 of an inch.
- You will need a computer with internet access to project a video example of measurement.
- Use a projector to display the video to the class.
- Ask students to use their work as an example to explain the area of their paper rectangles.
- Have students explain any problem from the Areas Around A Room worksheet.
Review and Closing(5 minutes)
- Students can share out clues, problems or wondering reflections, or leading with sentence frames. For example, “I could tell…" "I had a challenge with…" or "I wonder if…”