Mixed Age Year 5 and 6 Perimeter and Area Step 7 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for this step which covers Year 5 Area of Irregular Shapes & Year 6 Area of a Triangle 3 for Autumn Block 5.

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This Mixed Age Year 5 and 6 Perimeter and Area Step 7 pack includes:

- Mixed Age Year 5 and 6 Perimeter and Area Step 7 Teaching PowerPoint with examples for both year groups.
- Year 5 Area of Irregular Shapes Varied Fluency with answers.
- Year 5 Area of Irregular Shapes Reasoning and Problem Solving with answers.
- Year 6 Area of a Triangle 3 Varied Fluency with answers.
- Year 6 Area of a Triangle 3 Reasoning and Problem Solving with answers.

Mathematics Year 5: (5M7b) Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes

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

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

**Differentiation for Year 5 Area of Irregular Shapes:**

The answers given for this resource are based on counting full squares (or near full squares) and then matching part squares to make whole squares. Your pupils may have different answers to those given by us, but if they can explain how they have reached their answer, accept it as correct. The Teaching PPT includes examples of this on each answer slide.

**Varied Fluency**

**Developing **Questions to support finding the approximate area of irregular shapes where each square represents 1cm² or m².

**Expected **Questions to support finding the approximate area of irregular shapes where each square represents 2, 3, 4 or 5cm² or m².

**Greater Depth **Questions to support finding the approximate area of irregular shapes where each square represents 0.5, 1.5, 2.5 or 3.5cm² or m².

**Reasoning and Problem Solving
**

**Questions 2, 5 and 8 (Reasoning)**

**Developing **Identify and explain mistakes when finding the approximate area of an irregular shape where each square represents 1cm² or m². The image will sit on the grid lines.

**Expected **Identify and explain mistakes when finding the approximate area of an irregular shape where each square represents 2, 3, 4 or 5cm² or m². The image will sit between the grid lines.

**Greater Depth **Identify and explain mistakes when finding the approximate area of an irregular shape where each square represents 0.5, 1.5, 2.5 or 3.5cm² or m². The image will sit between the grid lines and the orientation will be different.

**Questions 3, 6 and 9 (Problem Solving)**

**Developing **Draw an irregular shaped object with a given area (approximately) where each square represents 1cm² or m².

**Expected **Draw an irregular shaped object with a given area (approximately), where each square represents 2, 3, 4 or 5cm² or m².

**Greater Depth **Draw an irregular shaped object with a given area (approximately), where each square represents 0.5, 1.5, 2.5 or 3.5cm² or m².

**Questions 3, 6 and 9 (Problem Solving)**

**Developing **Solve a word problem using the 10 times tables up to 5 x 10. Images to support.

**Expected **Solve a two-step word problem using the 10 times tables up to 12 x 10.

**Greater Depth **Solve a two-step word problem using the 10 times tables up to and beyond 12 x 10 using associated facts such as 16 x 10 = (10 x 10) + (10 x 6).

**Differentiation for Year 6 Area of a Triangle 3:**

**Varied Fluency**

**Developing **Questions to support calculating the area of a triangle using the formula: base x height ÷ 2. Triangles are right-angled and isosceles and only the base and height are labelled. Only whole numbers are used.

**Expected **Questions to support calculating the area of a variety of triangles, with different orientations, using the formula: base x height ÷ 2. Children to select the base and height from given measurements. Calculations involve some conversion (mm to cm). Whole numbers only.

**Greater Depth **Questions to support calculating the area of a variety of triangles, with different orientations, using the formula: base x height ÷ 2. Children to work out the base and height from given measurements. Calculations involve some whole and half numbers and some conversion (mm to cm and cm to m).

**Reasoning and Problem Solving**

**Questions 1, 4 and 7 (Reasoning)**

**Developing **Explain whether the calculation of the area of a triangle is correct and explain why. Using right-angled and isosceles triangles with base and height labelled. Whole numbers only.

**Expected **Explain whether the calculation of the area of a triangle is correct and explain why. Children to find the base and height from given measurements. Calculations involve some conversion (mm to cm) and only whole numbers are used.

**Greater Depth **Explain whether the calculation of the area of a triangle is correct and explain why. Children to find the base and height from given measurements. Calculations involve whole and half numbers, with conversions (mm to cm and cm to m).

**Questions 2, 5 and 8 (Problem Solving)**

**Developing **Calculate the area of a given shape by calculating the area of different triangles. Using right-angled and isosceles triangles with base and height labelled. Whole numbers only.

**Expected **Calculate the area of a given shape by calculating the area of different triangles. Children to find the base and height from given measurements. Calculations involve some conversion (mm to cm) and only whole numbers are used.

**Greater Depth **Calculate the area of a given shape by calculating the area of different triangles. Children to work out base and height from given measurements. Calculations involve whole and half numbers with conversions (mm to cm and cm to m).

**Questions 3, 6 and 9 (Problem Solving)**

**Developing **Given the area of a triangle, work out the possible base and height measurement combinations using the given digit cards. Only whole numbers are used.

**Expected **Given the area of a triangle, work out the possible base and height measurement combinations using the given digit cards. Calculations involve some conversion (mm to cm) and only whole numbers are used.

**Greater Depth **Given the area of a triangle, work out the possible base and height measurement combinations using the given digit cards. Calculations involve some whole and half numbers and some conversion (mm to cm and cm to m).

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