- Your next hand-in day will be Monday, Dec 1st -

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Presentation transcript:

- Your next hand-in day will be Monday, Dec 1st - Mental Math November 26th - Your next hand-in day will be Monday, Dec 1st - Solve the following, show the steps you took when determining the answer: 22 52 62

Approximately November 26th to December 20th Squares & Square Roots squares - Squared Numbers, Square Roots, Perfect Squares, Non-Perfect Squares - Approximately November 26th to December 20th

Intro By the end of this unit, we will know how to apply & manipulate squared numbers & square roots. This will help us with our Pythagorean Theorem unit after Christmas We will learn how to work with: - Squared Numbers Square Roots Perfect & Non-Perfect Squares

Why do we need to know this!?! Intro Why do we need to know this!?!

Mental Math November 28th - Your next hand-in day will be Tuesday, Dec 3rd - Which of the following is the answer to eight squared? 54 64 81 I’ve written eight squared with words, what are two ways that I can write it with numbers?

Squares & square roots squares & square What does it mean to square a number? To square a number means you multiply it by itself (ex) 3 x 3 = 9 also written as 32 How might we represent this pictorially?

Squares & square roots squares & square 52 32 22 42

Mental Math November 29th Show that 25 is a perfect square. - Your next hand-in day will be Tuesday, Dec 3rd - Show that 25 is a perfect square. - Write what number(s) is squared to create it, it’s repeated multiplication, and represent it pictorially (label the side lengths).

Stanley LOVES squared numbers! Squares & square roots squares & square Stanley LOVES squared numbers!

Mental Math December 2nd - Your next hand-in day will be Tuesday, Dec 3rd - What number would you square to get the following perfect squares? 64 b) 36 c) 81 d) 100 e) 25 f) 9

What does it mean to get the square root of a number? Squares & square roots squares & square What does it mean to get the square root of a number? Square roots are the opposite of squares (inverse operations) (ex) 3 x 3 = 9 so the square root of 9 is 3 also written as √9

What does it mean to get the square root of a number? Squares & square roots squares & square What does it mean to get the square root of a number? A square root is a value that can be multiplied by itself to give the original number - What can I multiply by itself to get this?

Squares & square roots squares & square √81 √25 √144 √36 √169

Squares & square roots squares & square Determining a square root mentally can involve a lot of guess and check. One strategy can be to estimate using squares of whole numbers that can be easily memorized Often called benchmarks

Squares & square roots squares & square Using the chart you created, guess the possible range for these square roots: √10 √72 √150

Mental Math December 3rd What is the square root of: - Hand In Day! Pick a mental math from this unit - What is the square root of: √25 √49 √169

Squares & square roots squares & square √92 √30 √151 √42 √7

Calculate the following Mental Math December 5th Calculate the following 27 √13

Mental Math December 6th Using your knowledge of your benchmark chart, determine if you can calculate the following. 121 1.69 0.25 (look for patterns)

Interactive Notebook Using the provided template, create a page for your Interactive Notebook summarizing squares, square roots, & the number line strategy. Use your own words!

Calculate the number whose square root is: Mental Math December 9th Calculate the number whose square root is: 0.3 b) 2/3 c) 1.9 (what question do we ask ourselves when trying to determine a square root?)

Calculate the following perfect & non-perfect squares: Mental Math December 10th Calculate the following perfect & non-perfect squares: √144 17 0.49 √35

Mental Math December 12th Which is the closest estimate to √97 9.6 9.9 9.8 Show your evidence to support your choice.

Mental Math December 13th Estimate the answer to 114 . Explain, in full sentences, the reasoning behind your estimation. Solve to two decimal places. Were you close to your estimation?

Calculate the following Mental Math December 16th Calculate the following =81 =144 =16 =49 =169

Which homeroom classroom is closest to being a perfect square? Squares & square roots squares & square Which homeroom classroom is closest to being a perfect square?

Calculate the following Mental Math December 17th Calculate the following −5+ −7 −(−2) 1.21 29

Mental Math December 18th Calculate the following −17+26 0.01 43 - Hand In Day!! December 4th-December 18th - Calculate the following −17+26 0.01 43