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Arithmetic-Reasoning

 

 

“Maths isn’t just about answers—it’s about showing the thinking behind them, because that’s how we prove we really understand.”

 

Let's practise using our mathematical language to explain our thinking!

 

 

 

Let's  estimate!

  • 47 + 8

  • 63 + 9

  • 28 + 7

Now explain how to reached your answer.

Example:
“To find 47 + 8, I add 3 to make 50, then I add the remaining 5 to reach 55.”

Let's use these sentences to explain our answers

  • “I partitioned the number into…”
  • “I made the next multiple of ten by…”
  • “I know this because…”

Quick Challenge:

Explain which is easier: 47 + 8 or 47 + 9, and why.

 

 

Let's estimate!

  • 432 – 128

  • 685 – 243

 

“I know the answer will be close to…”

"I know this because..."

"If I know... then I know..."

Now try these with your partners.

  • 324 – 118

  • 506 – 272

  • 750 – 242

 

Let's estimate!

  • 36 × 7

  • 48 × 6

  • 27 × 9


36 × 7 = (30 × 7) + (6 × 7)

“Partitioning allows me to multiply the tens and ones separately, which helps me add.”

Sentence Stems:

  • “I partitioned the number into…”

  • “The distributive law helps because…”

  • “This method is more efficient because…