Mixed Age Year 4 and 5 Multiplication and Division Step 15 Resource Pack

Step 15: Mixed Age Year 4 and 5 Multiplication and Division Step 15

Mixed Age Year 4 and 5 Multiplication and Division Step 15 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for this step which covers Year 4 Efficient Multiplication & Year 5 Common Factors for Autumn Block 3.

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What's included in the Pack?

This Mixed Age Year 4 and 5 Multiplication and Division Step 15 pack includes:

• Mixed Age Year 4 and 5 Multiplication and Division Step 15 Teaching PowerPoint with examples.
• Year 4 Efficient Multiplication Varied Fluency with answers.
• Year 4 Efficient Multiplication Reasoning and Problem Solving with answers.
• Year 5 Common Factors Varied Fluency with answers.
• Year 5 Common Factors Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 4: (4C6a) Recall multiplication and division facts for multiplication tables up to 12 × 12
Mathematics Year 4: (4C6b) Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
Mathematics Year 4: (4C6c) Recognise and use factor pairs and commutativity in mental calculations
Mathematics Year 4: (4C8) Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects
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

Differentiation for Year 4 Efficient Multiplication:

Varied Fluency
Developing Questions to support using factors, partitioning, addition and subtraction to efficiently multiply 2-digit numbers less than 20 by 2, 3, 4, and 5; where the 2-digit numbers can be partitioned into known facts up to 12x.
Expected Questions to support using factors, partitioning, addition and subtraction to efficiently multiply 2-digit numbers more than 20 by 6, 7, 8 and 9; where the 2-digit numbers can be partitioned more than once into known facts up to 12x.
Greater Depth Questions to support using factors, partitioning, addition and subtraction to efficiently multiply 2-digit numbers by 6, 7, 8, 9, 10, 11 and 12 using known facts

Reasoning and Problem Solving

Questions 1, 4 and 7 (Reasoning)
Developing Investigate two methods of multiplication and explain which method is most efficient. Involving 2-digit numbers up to 20 multiplied by 2, 3, 4 and 5.
Expected Investigate two methods of multiplication and explain which method is most efficient. Involving 2-digit numbers, more than 20 multiplied by 6, 7, 8 and 9.
Greater Depth Investigate two methods of multiplication and explain which method is most efficient. Involving multiplying 2-digit numbers and known multiplication facts; written in words.

Questions 2, 5 and 8 (Problem Solving)
Developing Complete the calculation using the digit cards to find the missing numbers to equal a fixed total. Include numbers that can be multiplied by 2, 3, 4 or 5.
Expected Complete the calculation using the digit cards to find the missing numbers to equal a fixed total. Include numbers that can be multiplied by 6, 7, 8 or 9.
Greater Depth Complete the calculation using the digit cards. Find two different methods to solve the calculation and explain if one is more efficient.

Questions 3, 6 and 9 (Reasoning)
Developing Compare the accuracy of a statement using <,>, =. Includes multiplying 2-digits by 1-digit and factors of 2, 3, 4 and 5.
Expected Compare the accuracy of a statement using <,>, =. Includes multiplying 2-digits by 1-digit and factors of 6, 7, 8 and 9.
Greater Depth Compare the accuracy of a statement using <,>, =. Includes multiplying 2-digits and known multiplication facts; written in words.

Differentiation for Year 5 Common Factors :

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

Reasoning and Problem Solving
Questions 1, 4 and 7 (Problem Solving)
Developing Identify the pair of numbers that share the most common factors. Includes the common factors 1, 2, 3, 5 and 10.
Expected Identify the pair of numbers that share the most common factors. Includes the common factors 1 – 10.
Greater Depth Identify the pair of numbers that share the most common factors. Includes the common factors 1 – 12.

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.
Expected Prove if a statement about common factors is true or false. Includes the common factors 1 – 10.
Greater Depth Prove if a statement about common factors is true or false. Includes the common factors 1 – 12.

Questions 3, 6 and 9 (Reasoning)
Developing Identify and explain the mistake made in a Venn diagram. Includes the factors 1, 2, 3, 5 and 10.
Expected Identify and explain the mistake made in a Venn diagram. Includes the factors 1 – 10.
Greater Depth Identify and explain the mistake made in a Venn diagram. Includes the factors 1 – 12.

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