Ladder Pattern Builder Skill Check Pair Game

Hide Notes Overview: Squaring and square rooting are inverses, like multiplying and dividing and so should be taught together. These investigations give a step by step introduction to the topic.

Step 5 How do Square Numbers Work? Investigate! Try Quiz Notes for Teachers: Learn about square numbers. Quiz: A quiz on the first ten square numbers, in a random order. Hide Notes       See champions and stars   How do Square Roots Work? Investigate! Try Quiz Notes for Teachers: Find square roots. Quiz: Find the square roots of the first ten square numbers. Hide Notes       See champions and stars   Step 6 How do Powers Work? Investigate! Try Quiz Notes for Teachers: Build number patterns to explore how powers work. Quiz: Easy powers of 2, 3, 4, and 5. (eg 5 cubed, 4 squared etc) Hide Notes       See champions and stars   How do Roots Work? Investigate! Try Quiz Notes for Teachers: Explore roots as the inverses of powers. Quiz: Mixed examples such as √16, 3√27 etc. Hide Notes       See champions and stars   Step 7 Powers with Negative Numbers Investigate! Try Quiz Notes for Teachers: Explore what happens if you square, cube and find other powers of negative numbers. Quiz: Examples such as (-4)2 or (-3)3 etc Hide Notes       See champions and stars   Roots with Negative Numbers Investigate! Try Quiz Notes for Teachers: Explore what happens when you try to find the square root, cube root and fourth root of -1. Discover that it is possible to find odd roots of negative numbers but not even roots. Quiz: Examples like 3√(-8) = ?, √? = -6 etc Hide Notes       See champions and stars   Step 8 Zero and Negative Powers Investigate! Try Quiz Notes for Teachers: 23 means 2x2x2. 22 means 2x2. 21 means 2. But what about 20 or 2-1 or 2-2. Explore what happens when you follow patterns past zero and discover how negative powers work. Quiz: Questions such as 4-1, 3-2 etc. Hide Notes       See champions and stars