Year 7 2 8 Square Numbers and BIDMAS

Year 7 2. 8 Square Numbers and BIDMAS

Order of Operations B I DM Do dividing and multiplying together, going left to right AS Do adding and subtracting together at the end, going left to right Brackets first Then Indices (another name for powers e. g. 32)

Count the dots…. what kind of numbers are these?

Square numbers are called square numbers because you can make a square out of that number of smaller squares. I can make a large square out of 9 small squares like this:

But I can’t make a larger square out of 10 small squares, however hard I try!

Square Numbers 1 4 9 16 Square numbers are found by multiplying a number by itself (15² = 15 x 15 = 225) The first twelve square numbers are…

Challenge: Write your first 10 CUBE NUMBERS 1 x 1 = 1 and so on……

Square numbers 1² = 1 x 1 = 2²= 2 x 2 = 3²= 3 x 3 = 4²= 4 x 4 = 7²= 7 x 7 = 8²= 8 x 8 = 9²= 9 x 9 = 10²= 10 x 10 = 5²= 5 x 5 = 11²= 11 x 11 = 6²= 6 x 6 = 12²= 12 x 12 =

Check your answers 11²= 11 x 11 = 121 12²= 12 x 12 = 144

Square Numbers

Square roots • The square root is a number that has been multiplied by itself to reach the target Eg’s √ 100 √ 9 = 10 =3 as 10 x 10 = 100 as 3 x 3 = 9 You should be able to find the √ button on a calculator.

Square roots are the opposite of Square numbers Keywords Square √ 3 INVERSE 9 Square Root

Challenge: Write your first 10 CUBE NUMBERS 1 x 1 = 1 and so on……

Use BIDMAS for these questions 6² + 4² 3² - √ 16 10² + √ 9 √ 25 - 2²

Support: Priority of Operations, pg. 31 Q. 1 Challenge: Depth pg. 27