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

September 6 th Pick 3 of the fractions below and draw them pictorially: 1/4 3/4 1/2 5/8 1/9 1/3

September 9 th 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! swf/cafd363812ce108ad4f8d46f483f6bdf.sw f

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

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

September 10 th Answer the following questions, make sure to show your steps: x ÷ ÷ 5 7 9

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

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

September 11 th Answer the following questions, make sure to show your steps: 1 x ÷ ÷ 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 12 th 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 13 th !! – HAND IN DAY Answer the following questions, make sure to show your steps: 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? Remember that word problems need a sentence answer! 1313

September 16 th Answer the following questions, make sure to show your steps: of the 16 students in Grade 8 take the bus to school, the rest walk. How many students do not ride the bus? Remember that word problems need a sentence answer! 2323

Learning Stations Day 2 -Addition - Subtraction -Division - Multiplication -Conference with me! 3-4 per group

September 18 th Answer the following questions, make sure to show your steps: 3 x ÷ ÷ 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 ÷ = 7 x = = 9 11

What is wrong with this? 3 ÷ = 7 x = 63 15

What is wrong with this? = = = 10 9

What is wrong with this? = = 7 30

What is wrong with this? 1 x = 8 9

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

September 19 th Write out the question as in, explain what is wrong. Rewrite correctly = = x = 8 9

September 20 th Answer the following questions, show all of your steps! x

September 23 rd Answer the following questions, show all of your steps! 4 x

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 Positive Integer

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 (-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 +)

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) (-5)

September 24 th Answer the following questions, show all of your steps! -5 – (-7) 3 + (-9)

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

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 10 ÷ 2

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

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 25 th Answer the following questions, show all of your steps! -13 – (-7) 17 + (-9)(-8) x 6 (-11) x (-6) (-5 + 6) x 4

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

September 26 th Answer the following questions, show all of your steps! -9 – (-7) 21 + (-5)(-2) x 8 (-4) x (-6) (-5 + 6) x (-9)

September 27 th Answer the following questions, show all of your steps! -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

October 4th Answer the following questions, show all of your steps! -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! (-4) x (-6) + (-3) 1 + (-5) 2

October 8th Which one of these are rational numbers? Please tell me why

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 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) Are each of the numbers in this equation rational numbers?

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)

To Write Repeating Decimals as Fractions... 1 ) Figure out is the repeating portion is 1 digit, 2 digits, 3 digits, etc ) Write the repeating portion as a proper fraction using 9’s as the denominator 2/9 54/99 298/999

October 10th Please solve the following question, showing all of your steps: [(-3) x ] + 4 – (-7) 4 Are each of the numbers in this equation rational numbers?

October 11 th – Hand In Day! Please solve the following question, showing all of your steps: [(-7) x ] + 12 – (-6) Are each of the numbers in this equation rational numbers?

Using the provided template, create a page for your Interactive Notebook defining a rational number. Create a list of 5 examples of what Rational Numbers ARE and ARE NOT. Use your own words!

October 15 th – Please solve the following question, showing all of your steps: [-2 x ( )] 2

October 16 th 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 17 th Please solve the following question, showing all of your steps: -7 – (-12) x [-2 x 2 + (-5)] 3