September 10 th Place the following numbers in order from least to greatest: 1/ /8 1/9 0.3 Place the following numbers in order from greatest to least: 3/ /5 7/ /4

- Intro to Grade 9 Math - Approximately September to October 14 th

Grade 9 Math covers A LOT of info to prepare you for whatever stream of math you want to cover in later grades. Number Sense is the basic framework to prepare us for the year. We will learn how to work with: -Rational Numbers -Square Roots of Perfect Squares -Square Roots of Non-Perfect Squares

Why do we need to know this!?!

September 11 th Answer the following questions, make sure to show your steps: x ÷ ÷ 5 7 9

What is a Rational Number? A rational number is a real number that can be written as a simple fraction. - Can be seen in an integer, decimal, or fraction form. (ex)

Which of these are Rational Numbers? 1/

Using the 2 Post-It Notes provided to you, write down 2 examples of a rational number. Do not show those around you!

As a class, lets try to place these in order from smallest to greatest!

Parts of a Fraction

Addition & Subtraction -Same Denominator- -Add or subtract the numerator as normal -Write the answer over the denominator

Addition & Subtraction -Same Denominator- -Add or subtract the numerator as normal -Write the answer over the denominator

September 16 th Answer the following questions, make sure to show your steps: 4 x ÷

Addition & Subtraction -Same Denominator

Addition & Subtraction -Diff. Denominators - -Find the lowest common multiple (LCM) that can work for the denominator -Rewrite the fractions with the LCM -Proceed as normal (+) or (- )

Addition & Subtraction -Diff. Denominators - -Find the lowest common multiple (LCM) that can work for the denominator -Rewrite the fractions with the LCM -Proceed as normal (+) or (- )

Addition & Subtraction -Different Denominator

Multiplication -Multiply the numerators -Multiply the denominators -Simplify if possible 1 x 2 5 3

Multiplication 2 x x x 10 15

Division Reciprocal -In fractions, a reciprocal is created by flipping the fraction upside down (ex) The reciprocal of 1 is If you multiply a fraction by its reciprocal, it has to equal 1

Division -Multiply the number by the reciprocal -Simplify if possible -Check your answer! 2 ÷ 2 8 4

Division 2 ÷ ÷ ÷ 2 7 7

EXIT SLIP Divide any fraction by 2/3. Show your work!

September 17 th Answer the following questions, make sure to show your steps: 1 x ÷ x ÷ 1 8 3

Who can remind us how to: -Add/Subtract Fractions (Same Denominators) -Add/Subtract Fractions (Different Denominators) -Multiply Fractions -Divide Fractions

Using the provided template, create a page for your Interactive Notebook summarizing how to complete addition, subtraction, multiplication & division with fractions. Use your own words!

September 18 th Answer the following question make sure to show your steps: April decided to bring cake to math class, if each person in the class is going to eat 2/7 of a cake, how many cakes does she need to bake tonight? Remember that word problems need a sentence answer!

September 23 rd Answer the following questions make sure to show your steps: Matt decides to bring chocolate milk to go with April’s cake. If she has 5 litres of chocolate milk and has 1/4 litre glasses, how many glasses can he fill? Remember that word problems need a sentence answer!

What is an Integer? An integer is a numerical quantity that is a whole number. -It is NOT a fraction or a decimal -Can be positive or negative (ex)

Addition -With a Positive Integer- -Move right on the number line 2 + 4

Addition -With a Positive Integer- -Move right on the number line

Addition -With a Negative Integer- -Move left on the number line 2 + (-4)

Addition -With a Negative Integer- -Move left on the number line -2 + (-7)

Subtraction -To subtract integers, add the opposite -Change the subtraction to addition -Change the sign of the integer (+ to -) or (- to +)

Subtraction -To subtract integers, add the opposite -Change the subtraction to addition -Change the sign of the integer (+ to -) or (- to +) 2 – (-4)

Multiplication -Do you notice any patterns in the multiplication equations? 2 x (-3) = -6 (-2) x 4 = -8 (-3) x 0 = 0 (-3) x (-2) = 6 (-2) x (-4) = 8

Multiplication -The product of 2 positive integers is positive -The product of 2 negative integers is positive -The product of a positive & a negative is a negative 5 x (-2)

Multiplication 6 x 7-3 x 4-8 x (-3)

Division -Do you notice any patterns in the division equations? -6 ÷ 2 = ÷ (-2) = 4 6 ÷ (-2) = -3 8 ÷ 2 = 4

Division -The quotient of 2 positive integers is positive -The quotient of 2 negative integers is positive -The quotient of a positive and a negative is a negative (-10) ÷ 2

Division 24 ÷ 4(-12) ÷ 4-15 ÷ (-3)

September 24 th Answer the following questions make sure to show your steps: 0.25 x (-2) x 4-15 ÷ (-3)

September 25 th Answer the following question, make sure to show your steps: (-7 + 8) x

October 1st Answer the following question, make sure to show your steps: -6.9 x 4.5 – [34-(5)]

October 2nd Answer the following question, make sure to show your steps: (3-9) + 12 x – (-5 x 8)

October 7th Answer the following question, make sure to show your steps: 11 x 2 + [-5 – (-3)] 1.34 x 1.23 – (5 + 4)

October 9th Create a number line and plot the answers to the following questions on it: x [-5 – (-8)] (5 + 4) + 9 x (-2.333)

October 15th Create a number line and plot the answers to the following questions on it: x 1/2 7 x (-4) - 12 (-2) + (-8) x 2

October 16th A portion of the football field is measured out & determined to be 25 square yards. What is the side length of the square? How much fencing would be needed to go around this area?

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 3 2 How might we represent this pictorally?

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?

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 **With your partner, create a chart of squares from 1 to 15

Using the chart you created, guess the possible range for these square roots:

The more times you start again from Step 2, the more accurate your results get!

Using this strategy, determine a possible answer to:

Use a calculator to check your educated guess:

October 21 st Show that 25 is a square number. Use a diagram, symbols, and words. Show that 12 is not a square number. Use a diagram, symbols, and words.

Who can remind us how to solve square roots using the number line strategy? Who can remind us how to solve square roots using the equation strategy?

The more times you start again from Step 2, the more accurate your results get!

Using the provided template, create a page for your Interactive Notebook summarizing squares, square roots, & one of the square root strategies of your choice. Use your own words!

October 22 nd Calculate the number whose square root is: a)0.3b) 2/3c) 1.9

Using the provided template, create a page for your Interactive Notebook summarizing squares, square roots, & one of the square root strategies of your choice. Use your own words!

October 23 rd Calculate the square root whose square is: a)64b) 169c) 81 d) 16e) 25f) 9

Monday, November 4 th Non-perfect squares Tuesday, November 5 th Classroom squares activity Wednesday, November 6 th No Class Monday, November 11 th No Class Tuesday, November 12 th Review (Fractions, Integers, Square Roots) Wednesday, November 13 th TEST

Review/Reminder: To determine the square root of a non- perfect square, we can use the number-line strategy or the equation strategy Both of these use benchmarks as a starting base

November 5 th Which fractions and decimals are perfect squares? Show your work 48/ /

November 12 th – Hand In Day Answer the following equation:

Test on WEDNESDAY the 13 th !! - Matching Questions -Multiple Choice -Short Answer (1-2 Steps to Solve) -2 Word Problems -2 Long Answer (3-6 Steps to Solve)

Test on WEDNESDAY the 13 th !! -ALL questions must be completed (no blanks) -NO calculator -NO devices during the test -Test must be kept until 3:00pm

Test on WEDNESDAY the 13 th !! -What is a rational number? -Fractions -Add (same denominator) -Add (different denominator) -Subtract -Multiply -Divide

Test on WEDNESDAY the 13 th !! -Integers -Add (positive integer) -Add (negative integer) -Subtract -Multiply -Divide

Test on WEDNESDAY the 13 th !! -Order of Operations (B.E.D.M.A.S) -Squares -Squares of Whole Numbers to Square Roots -How to Solve Perfect Squares -How to Solve Non-Perfect Squares -Number line -Equation

-Notes -Interactive Notebook -Past Assignments - The following textbook reviews can help you: - pg pg 45: Q 1-4, 8, 10, 11