The Year 4 Multiply and Divide by 7 PowerPoint guides both teachers and children through the lesson, including use of the varied fluency, reasoning and problem solving, deeper reasoning and scaffolded resources. Key learning information about this step:
Key Vocabulary
multiple: A product of one number multiplied by another number. For example: multiples of 10 are the products of numbers multiplied by 10.
commutative: Calculations which have the same answer no matter what order the numbers are in. Only addition and multiplication are commutative. For example: 2 x 6 = 12 and 6 x 2 = 12 and 5 + 4 = 9 and 4 + 5 = 9.
product: The answer of multiplying two or more numbers together. For example: 30 is the product of 6 x 5.
partitioning: The splitting of a number into different parts. For example: the number 547 can be partitioned into 500, 40 and 7.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Counting in 7s along bar models; partitioning 7 into 5 and 2 with sentence stems.
Support
• Q1: Complete bar models of 7s; the number of 7s is given.
• Q2: Partition 7 into 5 and 2; the 5 times table product is given.
• Q3: Write a fact family for an array; one fact is given.
Core
• Q1: Complete bar models of 7s.
• Q2: Partition 7 into 5 and 2 to find 7 times table facts.
• Q3: Write a fact family for an array of 7s.
Stretch
• Q1: Complete bar models and write the inverse division.
• Q2: Choose the 5 times table and 2 times table facts for each bar.
• Q3: Write a fact family with the equals sign on either side.
Reasoning and Problem Solving
Support
• Q1: Reasoning - Decide if a character has found a 7 times table fact correctly; a bar model is given.
• Q2: Reasoning - Decide if a statement about multiples of 7 or sharing is always, sometimes or never true; multiples or an array given.
• Q3: Problem Solving - Find multiples of 7 from three clues; the multiples of 7 are given to check against.
Core
• Q1: Reasoning - Decide if a character has used a 5 times table or 8 times table fact correctly to find a 7 times table fact.
• Q2: Reasoning - Decide if a statement about multiplying or dividing by 7 is always, sometimes or never true.
• Q3: Problem Solving - Find multiples of 7 that fit three clues.
Stretch
• Q1: Reasoning - Decide if a character has used a 6 times table fact or doubling correctly to find a 7 times table fact.
• Q2: Reasoning - Decide if statements about adding multiples of 7 and sharing between 7 and 14 are always, sometimes or never true.
• Q3: Problem Solving - Find numbers that combine multiples of 7 with other rules.
Deeper Reasoning
The questions in this set focus on problem solving with missing number puzzles to deepen understanding in counting in multiples of 7 and recalling multiplication and division facts for multiplication tables up to 12 × 12.
