Mathematics
Grade 4
15 min
Multiplication facts to 12
Multiplication facts to 12
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Instantly recall all multiplication facts for factors 0 through 12.
Apply the Commutative, Identity, and Zero properties of multiplication to solve problems more efficiently.
Use known multiplication facts to figure out unknown facts (e.g., using 5x7 to solve 6x7).
Solve one-step word problems that require multiplication within 12x12.
Identify and describe patterns within the multiplication table (e.g., the nines or elevens).
Represent a multiplication problem using an array or equal groups model.
If you have 8 packs of trading cards and each pack has 9 cards, how many new cards do you have? 🃏 Let's find out!
In this lesson, we will become experts on our multiplication facts all the way up to 12x12. Knowing these facts by heart is a math superpower...
2
Key Concepts & Vocabulary
TermDefinitionExample
MultiplicationThe process of combining equal groups to find a total. It's like repeated addition.4 x 3 is the same as adding four groups of three: 3 + 3 + 3 + 3 = 12.
FactorsThe numbers that are being multiplied together in a multiplication problem.In the equation 7 x 8 = 56, the numbers 7 and 8 are the factors.
ProductThe answer to a multiplication problem.In the equation 7 x 8 = 56, the number 56 is the product.
ArrayAn arrangement of objects, pictures, or numbers in rows and columns. It's a visual way to show multiplication.A muffin tin with 3 rows and 4 columns is a 3x4 array that holds 12 muffins.
MultipleThe product of a given number and any whole number. You can find multiples by skip-counting.The multiples of 6 are 6, 12, 18, 24, 30, and so on (6x1,...
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Core Formulas
Commutative Property of Multiplication
a \times b = b \times a
This rule means you can switch the order of the factors and the product will stay the same. If you know 4x8, you also know 8x4.
Identity Property of Multiplication
a \times 1 = a
Any number multiplied by 1 is that same number. This is the 'easy one' rule!
Zero Property of Multiplication
a \times 0 = 0
Any number multiplied by 0 is always 0. If you have 12 groups of nothing, you still have nothing.
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Challenging
Which expression has a greater product than 9 x 8?
A.11 x 7
B.12 x 6
C.8 x 8
D.9 x 7
Challenging
The product of two factors is 24. Their sum is 11. What are the two factors?
A.4 and 6
B.2 and 12
C.7 and 4
D.3 and 8
Challenging
The product of a number and 8 is 72. What is the product of that same number and 11?
A.88
B.81
C.99
D.77
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