A focused Grade 3 learning session for Fluently Multiply and Divide Within 100 using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can multiply and divide within 100 accurately and efficiently.
Fluently Multiply and Divide Within 100 means understanding equal groups, arrays, and repeated addition as multiplication.
Question: Look at the skip-count number line. It shows counting by \(3\)s. What number is missing? What is \(3\times3\)?
Why it works: Skip-counting by \(3\)s: \(0, 3, 6, 9\). So \(3\times3=9\).
Answer: \(9\)
Question: Look at the skip-count pattern. What is the rule? What is \(2\times5\)?
Answer: \(10\)
Question: Look at this array. Count the objects.
Answer: \(30\) objects
Question: A farmer has \(6\) baskets. Each basket holds \(7\) apples. How many apples does the farmer have?
Why it works: \(6\) baskets with \(7\) apples each: \(6\times7=42\).
Answer: \(42\) apples
Fluently Multiply and Divide Within 100 becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Equal groups make multiplication make sense.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
What is \(7\times9\)?
Answer B: \(63\)
\(7\times9=63\). Think: \(7\times10=70\), then subtract one group of \(7\): \(70-7=63\). Choice C is \(7\times10\); choice A is \(7\times8\).
What is \(6\times8\)?
Answer D: \(48\)
\(6\times8=48\). You can think of \(6\) groups of \(8\), or \(8\) groups of \(6\).
What is \(4\times7\)?
Answer A: \(28\)
\(4\times7=28\). Count by \(7\)s four times: \(7, 14, 21, 28\).
Which equation is true?
Answer D: \(5\times6=30\)
\(5\times6=30\) is correct. The other answers are: \(3\times6=18\), \(8\times5=40\), and \(9\times3=27\).
What is \(72\div8\)?
Answer B: \(9\)
\(72\div8=9\) because \(9\times8=72\). Division and multiplication are related. Choice D (\(64\)) is \(8\times8\), a common mistake.
What is \(5\times9\)?
Answer D: \(45\)
\(5\times9=45\). Count by \(5\)s: \(5, 10, 15, 20, 25, 30, 35, 40, 45\).
What is \(32\div4\)?
Answer C: \(8\)
\(32\div4=8\) because \(8\times4=32\). You need \(4\) groups with \(8\) in each group.
Look at the fact family for \(3\), \(6\), and \(18\). Which shows TWO correct related facts?
Answer B: \(3\times6=18\) and \(18\div3=6\)
The fact family for \(3\), \(6\), and \(18\) includes: \(3\times6=18\), \(6\times3=18\), \(18\div3=6\), and \(18\div6=3\). Choice B shows one multiplication fact and its related division fact.
What is \(9\times4\)?
Answer C: \(36\)
\(9\times4=36\). You can think of \(4\) nines or \(9\) fours: \(9+9+9+9=36\).
What is \(56\div7\)?
Answer D: \(8\)
\(56\div7=8\) because \(8\times7=56\). Seven groups of \(8\) equals \(56\).
What is \(3\times8\)?
Answer A: \(24\)
\(3\times8=24\). Think of three groups of \(8\): \(8+8+8=24\).
