# Area of a Triangle Year 6 Perimeter, Area and Volume Reasoning and Problem Solving

## Area of a Triangle Year 6 Spring Block 5 Resources

These Area of a Triangle Year 6 worksheets allow children to practise their reasoning and problem solving skills. These six worksheets are differentiated three ways to allow children to master this skill at their own ability level.

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**What's included in the pack?**

This pack includes:

- Area of a Triangle Year 6 Reasoning and Problem Solving 1 with answers.
- Area of a Triangle Year 6 Reasoning and Problem Solving 2 with answers.
- Area of a Triangle Year 6 Reasoning and Problem Solving 3 with answers.
- Area of a Triangle Year 6 Reasoning and Problem Solving 4 with answers.
- Area of a Triangle Year 6 Reasoning and Problem Solving 5 with answers.
- Area of a Triangle Year 6 Reasoning and Problem Solving 6 with answers.
- Interactive PDF versions to use with Adobe Acrobat Reader

**National Curriculum Objectives**

Mathematics Year 6: (6M7b) Calculate the area of parallelograms and triangles

Mathematics Year 6: (6M7c) Recognise when it is possible to use formulae for area and volume of shapes

Mathematics Year 6: (6M9) Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate

Mathematics Year 6: (6M5) Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places

**Differentiation:**

**Set 1**

**Developing **Given the area of the triangle, find the area of each individual square on the grid (either 1 or 2) by counting the squares.

**Secure **Given the area of the triangle, find the area of each individual square on the grid (any whole number) by counting the squares.

**Mastery **Given the area of the triangle, find the area of each individual square on the grid (whole numbers and halves) by counting the squares.

**Set 2**

**Developing **Determine which 2 out of 3 right-angled triangles have the same area on a grid where each square is 1cm².

**Secure **Determine which 2 out of 4 triangles have the same area on a grid where each square is 1cm².

**Mastery **Determine which 3 out of 4 triangles have the same area on a grid where each square is 2cm² or 5cm².

**Set 3**

**Developing **True or false statements based on finding the area of right-angled triangles from rectangles with double the area. Whole numbers and no conversion used.

**Secure **True or false statements based on finding the area of right-angled triangles from rectangles with double the area. Decimals (.5) and direct conversion used.

**Mastery **True or false statements based on finding the area of right-angled triangles from rectangles with double the area. Any decimals and any conversion used.

**Set 4**

**Developing **Given the area of a whole wall, finding the area of one right-angled triangle brick in the wall. Whole numbers and no conversion used.

**Secure **Given the area of a whole wall, finding the area of one right-angled triangle brick in the wall. Decimals (.5) and direct conversion used.

**Mastery **Given the area of a whole wall, finding the area of one right-angled triangle brick in the wall. Any decimals and any conversion used.

**Set 5**

**Developing **Determine whether the area of a triangle is correct or incorrect and explain any mistakes. All lengths are given in whole numbers.

**Secure **Determine whether the area of a compound triangular shape is correct or incorrect and explain any mistakes. Overall height and base lengths are given. Some conversions between mm/cm or cm/m necessary.

**Mastery **Determine whether the area of a compound triangular shape is correct or incorrect and explain any mistakes. Overall height and base lengths, as well as some unnecessary lengths for the calculation are given. Some conversions between mm/cm and cm/m necessary.

**Set 6**

**Developing **Find the area of three right-angled triangles, where all lengths are in whole numbers. Put the triangles in order according to their areas.

**Secure **Find the area of four triangles, where all lengths are whole numbers and either cm or mm. Put the triangles in order according to their areas (some conversions between cm and mm will be necessary.)

**Mastery **Find the area of four triangles, where all the lengths are whole numbers or decimals, and either cm or mm. Put the triangles in order according to their areas (some conversions between cm and mm will be necessary).

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