Mathematics
Grade 3
15 min
Multiply by 7
Multiply by 7
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Recall the multiplication facts for 7 from 7 x 0 to 7 x 12.
Use repeated addition to solve multiplication problems involving the number 7.
Apply the commutative property to solve multiplication facts with 7 (e.g., knowing 7 x 4 is the same as 4 x 7).
Use the 'break-apart' strategy (decomposing 7 into 5 + 2) to find the product of a 7s fact.
Solve one-step word problems that require multiplying by 7.
Identify patterns when skip-counting by 7.
Did you know there are 7 days in every week? How many days are there in 5 weeks? Let's learn how to find out super fast! 🗓️
In this lesson, we will explore the wonderful world of multiplying by 7! We will learn some cool tricks and strategies that make multiplying by 7 easy and fun. Knowing your 7s fac...
2
Key Concepts & Vocabulary
TermDefinitionExample
MultiplicationA fast way of doing repeated addition. It's when you combine equal groups to find the total.Instead of adding 7 + 7 + 7, we can multiply 7 x 3.
FactorsThe numbers that are being multiplied together in a multiplication problem.In the problem 7 x 4 = 28, the factors are 7 and 4.
ProductThe answer you get when you multiply two or more factors.In the problem 7 x 4 = 28, the product is 28.
Repeated AdditionAdding the same number over and over again. It's a way to understand what multiplication does.To solve 7 x 5, you can use repeated addition: 7 + 7 + 7 + 7 + 7 = 35.
Commutative PropertyThe 'turn-around' rule! It means you can swap the order of the factors and still get the same product.7 x 6 gives the same answer as 6 x 7. Both equal 42...
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Core Formulas
Repeated Addition for 7
7 \times n = 7 + 7 + ... + 7 \text{ (n times)}
To multiply a number (n) by 7, you can add 7 to itself that many times. This helps you visualize what the multiplication problem means.
Commutative Property
7 \times n = n \times 7
If you know the answer to a problem like 4 x 7, you also know the answer to 7 x 4. You can 'flip' the problem to make it easier to solve.
The 'Break-Apart' Strategy (5s + 2s)
7 \times n = (5 \times n) + (2 \times n)
This is a powerful trick for the 7s facts. Since 7 = 5 + 2, you can multiply your number by 5, then multiply it by 2, and add those two answers together. This is often easier because 5s and 2s facts are simpler to remember.
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Challenging
A garden has 7 rows. In each row, there are 6 red flowers and 3 yellow flowers. What is the total number of flowers in the garden?
A.16
B.42
C.63
D.21
Challenging
I am thinking of a number. If you multiply my number by 7, the answer is between 30 and 40. If you multiply my number by 3, the answer is 15. What is my number?
A.4
B.5
C.6
D.7
Challenging
Sam says that 7 x 8 is 54. He explains, 'I know 7 x 7 is 49. To get to 7 x 8, I just need to go up a little.' What is the specific mistake in his thinking?
A.He should have added 7, not just 'a little'.
B.He should have subtracted 7.
C.His starting fact, 7 x 7 = 49, is wrong.
D.He should have multiplied by 1 instead of adding.
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