Mathematics Grade 7 15 min

Division facts to 12

Division facts to 12

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1

Introduction & Learning Objectives

Learning Objectives Recall division facts for divisors up to 12 with accuracy and fluency. Identify the dividend, divisor, and quotient in a division problem. Explain the inverse relationship between multiplication and division facts. Apply division facts to solve one-step and simple multi-step word problems. Utilize multiplication to verify the correctness of division fact solutions. Recognize and apply properties of division, such as dividing by 1 or by itself. Ever wondered how many equal groups you can make from a larger quantity, or how to share items fairly among friends? ๐Ÿ• Understanding division facts is key! This lesson will refresh and solidify your knowledge of division facts up to 12, which are fundamental building blocks for more complex Grade 7 topics like pro...
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Key Concepts & Vocabulary

TermDefinitionExample DivisionThe process of splitting a number into equal parts or groups.12 รท 3 means splitting 12 into 3 equal groups, with 4 in each group. DividendThe total quantity or number being divided.In 24 รท 6 = 4, 24 is the dividend. DivisorThe number by which the dividend is divided; it tells you how many equal groups to make or the size of each group.In 24 รท 6 = 4, 6 is the divisor. QuotientThe result obtained from dividing one number by another.In 24 รท 6 = 4, 4 is the quotient. Fact FamilyA set of related multiplication and division equations using the same three numbers.For the numbers 3, 4, and 12, the fact family is 3 ร— 4 = 12, 4 ร— 3 = 12, 12 รท 3 = 4, 12 รท 4 = 3. Inverse OperationsOperations that undo each other; multiplication and division are inverse operations.If 8 ร—...
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Core Formulas

Relationship between Multiplication and Division If $a \times b = c$, then $c \div b = a$ and $c \div a = b$. This rule allows you to use your multiplication facts to solve division problems and to check your division answers. Division by One $a \div 1 = a$. This applies when you are dividing a quantity into a single group; the group contains the entire quantity. Division by Itself (Non-Zero) $a \div a = 1$ (where $a \neq 0$). This means if you divide a quantity into groups of the same size as the quantity itself, you will have exactly one group. Division by Zero (Undefined) $a \div 0$ is undefined. You cannot divide a number into zero equal groups, nor can you determine how many groups of zero fit into a number.

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Sample Practice Questions

Challenging
Why is the expression 12 รท 0 considered 'undefined'?
A.It's impossible to determine how many groups of zero can fit into 12, and multiplication cannot verify the answer.
B.The answer is infinity, which is not a real number.
C.The answer is zero, but it is written as 'undefined' as a special case.
D.It is only undefined for numbers larger than 10; 8 รท 0 is defined.
Challenging
If 'x' is a non-zero number, what is the value of the expression (x ร— 12) รท x?
A.12
B.x
C.1
D.Undefined
Challenging
A student claims, 'Since 100 รท 10 = 10, then 99 รท 9 must be 9.' Which statement best evaluates this claim?
A.The claim is correct because the pattern of subtracting 1 from each number holds true.
B.The claim is incorrect; division facts must be recalled or calculated independently and do not follow such simple patterns.
C.The claim is incorrect because 99 รท 9 is 10.
D.The claim is correct, but only for numbers ending in 9.

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