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Mixed Age Year 5 and 6 Multiplication and Division Step 17 Resource Pack

Mixed Age Year 5 and 6 Multiplication and Division Step 17 Resources

Step 17: Mixed Age Year 5 and 6 Multiplication and Division Step 17

Mixed Age Year 5 and 6 Multiplication and Division Step 17 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for this step which covers Year 5 Common Factors & Year 6 Common Factors for Autumn Block 3.

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What's included in the Pack?

This Mixed Age Year 5 and 6 Multiplication and Division Step 17 pack includes:

  • Mixed Age Year 5 and 6 Multiplication and Division Step 17 Teaching PowerPoint with examples for both year groups.
  • Year 5 Common Factors Problems Varied Fluency with answers.
  • Year 5 Common Factors Problems Reasoning and Problem Solving with answers.
  • Year 6 Common Factors Problems Varied Fluency with answers.
  • Year 6 Common Factors Problems Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 5: (5C5a) Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers
Mathematics Year 5: (5C8a) Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
Mathematics Year 6: (6C5) Identify common factors, common multiples and prime numbers

Differentiation for Year 5 Common Factors:

Varied Fluency
Developing Questions to support systematically finding the common factors of two numbers. Includes the common factors 1, 2, 3, 5 and 10 and use of arrays.
Expected Questions to support systematically finding the common factors of two numbers. Includes the common factors 1 – 12 and use of some arrays.
Greater Depth Questions to support finding the common factors of two numbers. Includes the common factors of up to 12 and beyond.

Reasoning and Problem Solving
Questions 1, 4 and 7 (Problem Solving)
Developing Identify the pair of numbers that share the most common factors by systematically checking each times table. Includes the common factors 1, 2, 3, 5 and 10.
Expected Identify the pair of numbers that share the most common factors by systematically checking each times table. Includes the common factors 1 – 12.
Greater Depth Identify the pairs of numbers that share the most common factors. Includes the common factors of up to 12 and beyond.

Questions 2, 5 and 8 (Reasoning)
Developing Prove if a statement about common factors is true or false. Includes the common factors 1, 2, 3, 5 and 10 and use of arrays.
Expected Prove if a statement about common factors is true or false. Includes the common factors 1 – 12.
Greater Depth Prove if a statement about common factors is true or false. Includes the common factors up to 12 and beyond.

Questions 3, 6 and 9 (Reasoning)
Developing Identify and explain the mistake made in a Venn diagram by systematically checking each times table. Includes the factors 1, 2, 3, 5 and 10.
Expected Identify and explain the mistake made in a Venn diagram by systematically checking each times table. Includes the factors 1 – 12.
Greater Depth Identify and explain the mistakes made in a Venn diagram. Includes the factors up to 12 and beyond.

Differentiation for Year 6 Common Factors:

Varied Fluency
Developing Questions to support understanding common factors, using knowledge of the 2, 3, 4, 5 and 10 times tables.
Expected Questions to support understanding common factors, using knowledge of times tables up to 12.
Greater Depth Questions to support finding common factors beyond 12, as well as the lowest common factor, using knowledge of known times tables facts.

Reasoning and Problem Solving
Questions 1, 4 and 7 (Reasoning)
Developing Explain which number is the odd one out when investigating common factors using knowledge of the 2, 3, 4, 5 and 10 times tables.
Expected Explain which number is the odd one out when investigating common factors using knowledge of times tables up to 12.
Greater Depth Explain which number is the odd one out when investigating common factors beyond 12 using knowledge of known times tables facts.

Questions 2, 5 and 8 (Problem Solving)
Developing Find the pair of numbers with the most common factors up to a given number. Includes common factors using knowledge of the 2, 3, 4, 5 and 10 times tables.
Expected Find the pair of numbers with the most common factors up to a given number. Includes using knowledge of times tables up to 12.
Greater Depth Find the pair of numbers with the most common factors up to a given number.

Questions 3, 6 and 9 (Reasoning)
Developing Prove the solution to a word problem by finding common factors using knowledge of the 2, 3, 4, 5 and 10 times tables.
Expected Prove the solution to a word problem by finding common factors using knowledge of times tables up to 12.
Greater Depth Prove the solution to a word problem by finding common factors beyond 12 using knowledge of known times tables facts.

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