Compose Pentagons and Rectangles from Shape Pieces Worksheet
Free maths practice for home or the classroom. Print this Compose Pentagons and Rectangles from Shape Pieces Worksheet and its answer key on A4 paper, one page each.
Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.
Teaching Notes
Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Before You Begin
- Recognize simple two-dimensional shapes.
Teaching Steps for Parents and Teachers
- Identify the pieces and the target shape.
- Rotate or move the pieces so their edges fit.
- Check that the completed shape has no gaps or overlaps.
Worked Examples
Can two congruent right triangles cut from a rectangle make the original rectangle?
- Place the cut edges together.
- Match the outer corners and sides.
Answer: Yes; join the matching diagonal edges.
Common Mistakes and How to Help
Do not count an overlap as part of a valid tiling.
Do the pieces cover the entire target exactly once?
Questions to Check Understanding
- Do the pieces cover the entire target exactly once?
- What in the numbers or diagram supports your answer?
Practice Advice
Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.
Next Practice
- Use New Numbers to practice the same skill with different values.
- If the learner needs help, return to the example and model each step before trying again.