September 10th

Place the following numbers in order from least to greatest:1/4 1 0.75 5/8 1/9 0.3

Place the following numbers in order from greatest to least:3/5 0.25 4/5 7/10 0.5 1/4

- Intro to Grade 9 Math -

Approximately September to October 14th

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 11th

Answer the following questions, make sure to show your steps:

2 + 3 7 5

2 - 2 3 5

3 x 2 7 7

3 ÷ 3 4 5

5 + 2 3

3 ÷ 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?

1/2 0.75

𝜋

√2

-4

63.5

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

1 + 35 5

Addition & Subtraction- Same

Denominator-

- Add or subtract the numerator as normal

- Write the answer over the denominator

4 - 15 5

September 16th

Answer the following questions, make sure to show your steps:

4 x 2 6 7

2 ÷ 5 7 6

1 + 4 2 6

Addition & Subtraction- Same Denominator-

7 + 210 10

6 + 815 15

11 - 720 20

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 (-)

1 + 15 3

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 (-)

4 - 25 3

Addition & Subtraction- Different Denominator-

1 + 4 2 6

3 - 1 4 2

9 - 210 3

Multiplication

- Multiply the numerators

- Multiply the denominators

- Simplify if possible

1 x 25 3

Multiplication

2 x 4 5 6

2 x 1 7 8

2 x 1015

Division

Reciprocal- In fractions, a reciprocal is created by

flipping the fraction upside down(ex) The reciprocal of 1 is 5 5 1- 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 ÷ 28 4

Division

2 ÷ 3 7 5

2 ÷ 2 3 5

3 ÷ 2 7 7

EXIT SLIP

Divide any fraction by 2/3.

Show your work!

September 17th

Answer the following questions, make sure to show your steps:

1 x 8 9 9

12 - 2 25 5

16 +2 36 3

7 ÷ 5 11 6

8 x 8 10

6 ÷ 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 18th

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 23rd

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

-4 + 7

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 +)

-2 - 7

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 = -3

-8 ÷ (-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 24th

Answer the following questions make sure to show your steps:

0.25 x (-2) + 65 6 x 4 -15 ÷ (-3)

September 25th

Answer the following question, make sure to show your steps:

(-7 + 8) x 4.5 - 34

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 6

1.75 + 6.125 – (-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:

9.725 x 7.5 + [-5 – (-8)]

(5 + 4) + 9 x (-2.333)

October 15th

Create a number line and plot the answers to the following questions on it:

0.33... 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 32 How might we represent this pictorally?

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

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:

√ 10 √ 150√ 72

1. Start with a guess - What is our guess for

2. Divide the square root by your guess - 10 ÷

3. Add your result to your guess - + 4. Divide your result by 2 - ÷ 2

5. Set your result from Step 3 as your new guess and start at step 2 again - 10 ÷

The more times you start again

from Step 2, the more accurate

your results get!

Using this strategy, determine a possible answer to:

√ 72

Use a calculator to check your educated guess:

October 21st

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?

1. Start with a guess - What is our guess for

2. Divide the square root by your guess - 10 ÷

3. Add your result to your guess - + 4. Divide your result by 2 - ÷ 2

5. Set your result from Step 3 as your new guess and start at step 2 again - 10 ÷

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 22nd

Calculate the number whose square root is:

a) 0.3 b) 2/3 c) 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 23rd

Calculate the square root whose square is:

a) 64 b) 169 c) 81d) 16 e) 25 f) 9

October 28th

Calculate the following

October 29th

Calculate the following

November 4th – Hand In Day

Calculate the following perfect & non-perfect squares:

Monday, November 4th Non-perfect squaresTuesday, November 5th Classroom squares activityWednesday, November 6th No Class

Monday, November 11th No ClassTuesday, November 12th Review (Fractions, Integers, Square Roots)Wednesday, November 13th TEST

Review/Reminder:

= 5- 25 is a squared number or a “perfect square”- 5 is the square root. It can be multiplied by itself to get the original number of 25

Review/Reminder:

Squares of whole numbers are used as benchmarks to help us quickly solve for square roots of perfect squares:

(ex)

Review/Reminder:

Squares of whole numbers can also help us estimate the squares of non-

perfect squares(ex)

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 5th

Which fractions and decimals are perfect squares? Show your work

48/120 1.6 49/100 0.04

November 12th – Hand In Day

Answer the following equation:

37 - 7 x (-9) -

Test on WEDNESDAY the 13th!!

- 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 13th!!

- 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 13th!!

- What is a rational number?- Fractions

- Add (same denominator)- Add (different denominator)- Subtract- Multiply- Divide

Test on WEDNESDAY the 13th!!

- Integers- Add (positive integer)- Add (negative integer)- Subtract- Multiply- Divide

Test on WEDNESDAY the 13th!!

- Order of Operations (B.E.D.M.A.S)- Squares

- Squares of Whole Numbers to 152

- 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 143-146- pg 45: Q 1-4, 8, 10, 11