- Intro to Grade 8 Math - Approximately September to October 16 th

- Intro to Grade 8 Math -

Approximately September to October 16th

September 6th

Pick 3 of the fractions below and draw them pictorially:1/4 3/4 1/2 5/8 1/9 1/3

September 9th

Place the following fractions in order from least to greatest:1/4 3/4 1/2 5/8 1/9 1/3

Place the following fractions in order from greatest to least:3/5 6/12 4/5 7/10 4/12 1/4

This unit will help prepare you for ALL of the other units in Grade 8 math!

We will learn how to work with:- Fractions- Integers- The Order of Operations

Why do we need to know this!?!

What is a fraction?

A fraction is a numerical quantity that is not a whole number.- It is a part of something(ex)

How can we draw a picture of a fraction?

Around the classroom you will find recipe cards with a fraction listed on

them.

Without showing anyone, quickly find one & return to your seat!

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

http://wsassets.s3.amazonaws.com/ws/nso/swf/cafd363812ce108ad4f8d46f483f6bdf.swf




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

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

September 10th

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

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

Who can remind us how to:

- Add/Subtract Fractions (Same Denominators)

- Add/Subtract Fractions (Different Denominators)

- Multiply Fractions

- Divide Fractions

September 11th


1 x 8 9 9

12 - 2 25 5

7 ÷ 5 11 6

6 ÷ 1 8 3

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 12th

Answer the following questions make sure to show your steps:

Emma 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!

Learning Stations

- Virtual Review- Division - Multiplication- Conference with me!

3-4 per group

EXIT SLIP

Divide any fraction by 2/3.

Show your work!

Friday the 13th !! – HAND IN DAY


Erica decides to bring chocolate milk to go with Emma’s cake. If she has 5 litres of chocolate milk and has 1/4 litre glasses, how many glasses can she fill?


13

September 16th


of the 16 students in Grade 8 take the bus to school, the rest walk. How many students do not ride the bus?


23

Learning Stations Day 2

- Addition - Subtraction- Division - Multiplication- Conference with me!

3-4 per group

September 18th


3 x 8 9 2

7 - 2 12 4

8 ÷ 5 9 6

6 ÷ 2 8 6

Using your Interactive Notebook, who can remind us how to:

- Add/Subtract Fractions (Same Denominators)

- Add/Subtract Fractions (Different Denominators)

- Multiply Fractions

- Divide Fractions

What is wrong with this?

7 ÷ 5 11 6= 7 x 6 11 5= 45 55= 9 11


3 ÷ 5 7 9= 7 x 9 3 5= 63 15


16 +2 36 3= 48 +72 108 108= 120 108= 10 9


9 - 2 10 3= 9 - 2 30 30= 7 30


1 x 8 9 9= 8 9

EXIT SLIP

Create two new equations with fractions, and solve them.- Addition or Subtraction- Multiplication or Division

September 19th

Write out the question as in, explain what is wrong. Rewrite correctly

9 - 2 10 3= 9 - 2 30 30= 7 30

1 x 8 9 9= 8 9

September 20th

Answer the following questions, show all of your steps!

9 - 2 13 3

4 x 12 6 15

September 23rd


4 x 10 6 5

1 + 5 2 6

-5 + 6

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 Positive Integer -

6 + 7 -9 + 11 -8 + 5

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)

Addition

- With a Negative Integer -

6 + (-7) -9 + (-11) -8 + (-5)

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)

Subtraction

6 - (-7) -9 - 11 -8 - (-5)

September 24th


-5 – (-7) 3 + (-9) 17 - 24

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

5 x 2

Multiplication


- The product of 2 negative integers is positive

(-5) x (-2)

Multiplication


- 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

10 ÷ 2

Division


- The quotient of 2 negative integers is positive

(-10) ÷ (-2)

Division


- 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 25th


-13 – (-7) 17 + (-9) (-8) x 6

(-11) x (-6) (-5 + 6) x 4


summarizing how to complete addition, subtraction, multiplication &

division with integers.

Use your own words!

September 26th


-9 – (-7) 21 + (-5) (-2) x 8

(-4) x (-6) (-5 + 6) x (-9)

September 27th


-12 – (-4) 18 + (-11) (-4) x 6

(-2) x (-4) (-9 + 6) x (-3)

October 3rd

Imagine the following pattern goes on forever and ever:

This is called an “infinite series” because it goes on forever. Using what

you know about integers, take an educated guess on what the answer to

this could be.

1 - 1 + 1 - 1 +1 – 1 + 1 – 1 + 1

October 4th


-13 – (-8) 17 + (-11) (-2) x 5

(-3) x (-4) (-7 + 4) x (-3)

October 7th

Answer the following questions, use a number line if you need.

Please, show all of your steps!2 + 65 4

(-4) x (-6) + (-3)

1 + (-5)2

October 8th

Which one of these are rational numbers?

Please tell me why

0.5 3.3333333... 65 1.5

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 Post-It Notes provided to you, write down as many examples of

rational numbers as possible in 2 minutes.

Switch your paper with another group and evaluate their choices.

October 9th

Please solve the following question, showing all of your steps:

(0.5 x 4) – (-9) + 2 3

Are each of the numbers in this equation rational numbers?


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)


- is NOT a rational number because it is an on-going decimal that DOES NOT repeat

- 3.333333... IS a rational number because, even though it is on-going, it repeats!

- (want to know a cool trick for figuring out fractions for repeating decimals?!?)

To Write Repeating Decimals as Fractions...

1 ) Figure out is the repeating portion is 1 digit, 2 digits, 3 digits, etc0.22222222...... 0.54545454......0.298298298....

2 ) Write the repeating portion as a proper fraction using 9’s as the denominator

2/954/99298/999

October 10th


[(-3) x 0.3535...] + 4 – (-7) 4


October 11th – Hand In Day!


[(-7) x 0.666...] + 12 – (-6)



defining a rational number.

Create a list of 5 examples of what Rational Numbers ARE and ARE NOT.

Use your own words!

October 15th –


-4 + 3 [-2 x (-0.33...)]2

October 16th

Alexis takes $15.42 to the canteen. She spend $3.25 on cookies.

Ethan reminds her that she borrowed $2 on Tuesday & Wednesday last week, so she pays

him back.

Write an equation that shows the steps Alexis took and solve for how much money she has

left.

October 17th


-7 – (-12) x [-2 x 2 + (-5)]3

Documents

- Intro to Grade 8 Math - Approximately September to October 16 th