Number Patterns

NZ Level 3

Equivalent number sentences (mult/div)

Lesson

In mathematics, we talk about number sentences (called equations) that are equivalent. "Equivalent" means that one side of the number sentence is equal to the other side. We've already started looking at how to keep number sentences balanced using addition and subtraction. Now we are going to look at how we can also use multiplication and division.

Since mathematics is a special language, we can show that one side of the equal is equal to the other using the equals sign, =.

For example, I could write $3\times4=12$3×4=12. Or I could write $6+6=12$6+6=12. Since both sides of the equation are equal to $12$12, we can say that these are equivalent number sentences.

Let's look at some more ways we can write equivalent number sentences that involve multiplication and division.

Complete the following number sentence:

$24=6\times\editable{}$24=6×

True or false.

$12\div2=2\times3$12÷2=2×3

True

AFalse

BTrue

AFalse

B

Complete the following number sentence:

$4\times6=120\div\editable{}$4×6=120÷

Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.