Starter quiz
- Which of these statements is true of a rectangle?
- It has four sides. ✓
- All four sides are different lengths.
- Opposite sides are the same length. ✓
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- Which of these statements is true of a square?
- It has four sides. ✓
- All four sides are different lengths.
- Opposite sides are the same length. ✓
- It is a kind of rectangle. ✓
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- A parallelogram has ______ sides.
- 'four' ✓
- Which of the shapes is a parallelogram?
- Which of the statements is true of all parallelograms?
- All of the interior angles are always different to each other.
- All of the interior angles are always the same as each other.
- Pairs of opposite angles are equal. ✓
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Which of these statements describe shapes a and b?- They have the same area. ✓
- They have a different area.
- They are the same polygon.
- They are different polygons. ✓
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Exit quiz
The number rods have been used to make a parallelogram. Which of the statements is true?- The same shape can be turned into a rectangular paralleogram. ✓
- The shape cannot be turned into a rectangular parallelogram.
- The shape is already a rectangular parallelogram.
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A shape has been made from number rods. Which of the statements is true?- The shape is not a rectangular parallelogram.
- The shape is a rectangular parallelogram. ✓
- It might have been a non-rectangular parallelogram which has been repositioned. ✓
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The triangles have been cut off the ends of a parallelogram and repositioned. Which of the statements is true?- A rectangular parallelogram has been formed.
- A new non-rectangular parallelogram has been formed.
- It is no longer a parallelogram. ✓
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The parallelogram is cut along the marked line. Complete. The parallelogram has been decomposed into a triangle and a ______.- 'trapezium' ✓
- Which of these statements are true? A parallelogram….
- can be turned into a rectangle by cutting two triangles off and repositioning. ✓
- can be turned into a rectangle by moving one of the triangles to the other side. ✓
- cannot be turned into a rectangle, unless it is already one.
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- Which of these statements is true?
- A parallelogram and a rectangular parallelogram can have the same area. ✓
- A parallelogram and a rectangular parallelogram cannot have the same area.
- Adding a triangle to a parallelogram can give it the same area as a rectangle.
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Worksheet
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Presentation
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Lesson Details
Key learning points
- The area of a parallelogram is equal to the area of the rectangle created by rearranging the parts.
- A parallelogram can be decomposed into a rectangle and 2 identical triangles.
- Rearranging the parts of a parallelogram helps to calculate the area.
Common misconception
Pupils who have learned about parallelograms often have a fixed idea of what they look like and do not realise that squares and other kinds of rectangles are also parallelograms.
The lesson defines parallelograms, giving three criteria, including parallel sides and equal pairs of opposite angles. Reinforce with pupils that these match the set criteria.
Keywords
Parallelogram - A parallelogram is a quadrilateral with two pairs of parallel and equal sides.
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