A focused Grade 6 learning session for Integer Multiplication and Division using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can solve problems involving integer multiplication and division.
Integer Multiplication and Division means choosing a model, naming what each number means, and explaining the strategy.
Question: The number line shows three equal jumps from \(0\) that land on \(12\). Which multiplication does this represent?
Why it works: The diagram shows \(3\) groups (jumps) of size \(4\) added together: \(4+4+4=12\), which is the same as \(3\times 4=12\).
Answer: \(3 \times 4 = 12\)
Question: The number line shows three identical jumps to the left. Which multiplication does this model?
Answer: \(3 \times (-1)\)
Question: Which row correctly matches the expressions to their results?
| Expression | Result |
|---|---|
| \((-3) \times 5\) | ? |
| \((-3) \times (-5)\) | ? |
Answer: \(-15\) and \(15\)
Question: The temperature drops by 4° each hour for \(3\) hours. What is the total change in temperature?
Why it works: A drop of 4° repeated 3 times: \((-4) \times 3 = -12°\).
Answer: -12°
Integer Multiplication and Division becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Understand the model before choosing the operation.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
What is \(-6\times(-4)\)?
Answer D: \(24\)
The product of two negatives is positive: \((-6)\times(-4)=24\).
Compute: \(7 \times (-5)\)
Answer A: \(-35\)
A positive times a negative is negative: \(7 \times (-5) = -35\).
What is \((-8) \times (-3)\)?
Answer C: \(24\)
Negative times negative equals positive: \((-8) \times (-3) = 24\).
Evaluate: \(-4 \times 6\)
Answer B: \(-24\)
Negative times positive is negative: \((-4) \times 6 = -24\).
What is \(\frac{-20}{4}\)?
Answer D: \(-5\)
A negative divided by a positive is negative: \(\frac{-20}{4} = -5\).
Compute: \(\frac{-36}{-6}\)
Answer A: \(6\)
Negative divided by negative is positive: \(\frac{-36}{-6} = 6\).
What is \((-9) \times 2\)?
Answer A: \(-18\)
Negative times positive is negative: \((-9) \times 2 = -18\).
Evaluate: \(\frac{48}{-8}\)
Answer A: \(-6\)
Positive divided by negative is negative: \(\frac{48}{-8} = -6\).
What is \(3 \times (-12)\)?
Answer A: \(-36\)
Positive times negative is negative: \(3 \times (-12) = -36\).
Compute: \((-5) \times (-7)\)
Answer B: \(35\)
Negative times negative is positive: \((-5) \times (-7) = 35\).
The number line shows three equal jumps from \(0\) that land on \(12\). Which multiplication does this represent?
Answer A: \(3 \times 4\)
The diagram shows \(3\) groups (jumps) of size \(4\) added together: \(4+4+4=12\), which is the same as \(3\times 4=12\).
