Triangles and Fluency & Precision 4

Lesson 8 – and Quadrilaterals NC Objective: Resources needed: Vocabulary: Compare and classify geometric , Teaching slides Isosceles, scalene and equilateral including quadrilaterals and triangles, Differentiated Worksheets , trapezium, , , based on their properties and sizes ,

Children will classify triangles using the names ‘isosceles’, ‘scalene’ and ‘equilateral’. Children will compare the similarities and differences between triangles and use these to help them identify, sort and draw. Children name quadrilaterals including а square, rectangle, rhombus, parallelogram and trapezium. They describe their properties and highlight the similarities and differences between different quadrilaterals. Key questions: What are the name of the different types of triangles? What are the properties of an isosceles triangles? What are the properties of a scalene triangles? What are the properties of an equilateral triang les? What's the same about the quadrilaterals? What's different about the quadrilaterals?

Working Towards Working Within Greater Depth

Children label given triangles and Children draw and label triangles Children will divide quadrilaterals quadrilaterals using a mat. and quadrilaterals. They will use into triangles according to given criteria to describe the description and find shapes on shapes. given figures. Reasoning & Problem Solving

Children continue working on triangles and quadrilaterals.

They will solve true or false questions and identify quadrilaterals that they cannot see on the given figure.

masterthecurriculum.co.uk Triangles and Quadrilaterals Fluency & Precision 4

Equilateral triangle Scalene triangle

Square Rectangle Rhombus Parallelogram Trapezium Label each of these triangles as isosceles, scalene or equilateral.

Label the quadrilaterals using the word bank.

masterthecurriculum.co.uk Triangles and Quadrilaterals Answers Fluency & Precision 4

Equilateral triangle Isosceles triangle Scalene triangle

Square Rectangle Rhombus Parallelogram Trapezium Label each of these triangles as isosceles, scalene or equilateral.

Equilateral triangle Scalene triangle Isosceles triangle

Scalene triangle Equilateral triangle Label the quadrilaterals using the word bank.

Rhombus Rectangle

Parallelogram

Square Trapezium

masterthecurriculum.co.uk Triangles and Quadrilaterals Fluency & Precision 4 Look at these triangles. What is the same and what is different? Can you explain why?

Draw and label: • isosceles triangle • scalene triangle • parallelogram • trapezium • rhombus

Use the criteria to describe the shapes.

1 three sides 2 2 equal sides and 2 equal

3 four right angles 4 1 pair of parallel sides

5 four equal sides 6 2 pairs of parallel sides

7 four sides 8 3 equal sides and 3 equal angles

masterthecurriculum.co.uk Triangles and Quadrilaterals Answers Fluency & Precision 4 Look at these triangles. What is the same and what is different? Can you explain why?

Both triangles are isosceles triangles. They both have a pair of equal sides and a pair of equal angles. Left triangle is isosceles .

Draw and label: • isosceles triangle • scalene triangle • parallelogram • trapezium • rhombus

Parallelogram Rhombus

Isosceles triangle

Trapezium Scalene triangle

Use the criteria to describe the shapes.

1 three sides 2 2 equal sides and 2 equal angles 4 7 1

2 3 four right angles 4 1 pair of parallel sides

5 four equal sides 6 2 pairs of parallel sides 4 1 7 four sides 8 3 equal sides and 3 equal angles 7

3 5 6 5 7 6 1 6 7 7 8

masterthecurriculum.co.uk Triangles and Quadrilaterals Fluency & Precision 4

Divide the trapezium into 3 equilateral triangles. Divide the parallelogram into 4 scalene triangles.

Divide the rhombus into 4 right triangles. Divide the square into 4 equal triangles.

Label each of these triangles as isosceles, Label each of these triangles as isosceles, scalene or equilateral. scalene or equilateral. What types of triangles and quadrilaterals can you see on each diagram?

masterthecurriculum.co.uk Triangles and Quadrilaterals Answers Fluency & Precision 4

Divide trapezium into 3 equilateral triangles. Divide parallelogram into 4 scalene triangles.

Divide rhombus into 4 right triangles. Divide square into 4 equal triangles.

All triangles are All triangles are Isosceles right triangles scalene right triangles Label each of these triangles as isosceles, Label each of these triangles as isosceles, scalene or equilateral. scalene or equilateral. Which types of triangles and quadrilaterals can you see on each diagram? Possible answers: Trapezium Isosceles triangle Isosceles Scalene Isosceles triangle triangle triangle Trapezium Trapezium Isosceles triangle Isosceles triangle Isosceles Rhombus Parallelogram triangle

Trapezium Rectangle Square Rectangle Rectangle Isosceles triangle

Rectangle Square Rectangle Trapezium Rectangle Rectangle

masterthecurriculum.co.uk Triangles and Quadrilaterals Reasoning & Problem Solving 4

TRUE or FALSE? Which type of can you not see on the following picture?

Diagonals of a rectangle divides the rectangle into 4 equal isosceles triangles.

Diagonals of a square divides the square into 4 equal isosceles triangles.

Diagonals of a rhombus divides the rhombus into 4 equal right triangles.

Diagonals of a trapezium divides the trapezium into 4 isosceles triangles.

masterthecurriculum.co.uk

Triangles and Quadrilaterals Reasoning & Problem Solving 4

TRUE or FALSE? Which type of quadrilateral can you not see on the following picture?

Diagonals of a rectangle divides the rectangle into 4 equal isosceles triangles.

Diagonals of a square divides the square into 4 equal isosceles triangles.

Diagonals of a rhombus divides the rhombus into 4 equal right triangles.

Diagonals of a trapezium divides the trapezium into 4 isosceles triangles.

masterthecurriculum.co.uk Triangles and Quadrilaterals Answers Reasoning & Problem Solving 4

TRUE or FALSE? Which type of quadrilateral can you not see on the following picture?

Diagonals of a rectangle divides the rectangle into 4 equal isosceles triangles False

Diagonals of a square divides the square into 4 equal isosceles triangles True

Diagonals of a rhombus divides the rhombus into 4 equal right triangles True

Diagonals of a trapezium divides the trapezium into 4 isosceles triangles False

Square

masterthecurriculum.co.uk

Triangles and Quadrilaterals Answers Reasoning & Problem Solving 4

TRUE or FALSE? Which type of quadrilateral can you not see on the following picture?

Diagonals of a rectangle divides the rectangle into 4 equal isosceles triangles False

Diagonals of a square divides the square into 4 equal isosceles triangles True

Diagonals of a rhombus divides the rhombus into 4 equal right triangles True

Diagonals of a trapezium divides the trapezium into 4 isosceles triangles False

Square

masterthecurriculum.co.uk