Number Relationships
Day #1 Identifying Prime and Composite Numbers p.6 #417
Reminders
Reminders
 A Prime Number has only two factors.
 A Composite Number has more than two factors.
 Divisibility Rules If number ends in 5 or 0 divisible by 5, Numbers ending in 0 divisible by 10, even numbers divisible by 2, if the sum of the digits are divisible by 3, the number is divisible by 3
Day #2 Prime Factorization p. 10,11 #7,8 1013
Reminders
Reminders
 The goal of Prime Factorization is to write the number as a product of only prime numbers
 Factor trees allow us to arrive at Prime Factorization
Day #3 Common Factors and Common Multiples p. 14 #7,9,12,13
Reminders
Reminders
 Great Common Factor (GCF) is the great whole number that divides evenly into two or more whole numbers with no remainder
 Least Common Multiple (LCM) is the whole number that has two or more given numbers as factors
 To find GCF  Find all the factors. Multiply the common factors together
 To find LCM  Find all the factors Multiply the GCF by all the factors not in common
Day #4 Calculating Powers p.18 #37 11,12
Reminders
Reminders
 Power is an expression that shows repeated multiplication.
 A power has an exponent (the top number) and base (the bottom number).
 The exponent tells how many times we multiply the base by itself.
Day #5 Expanded Form and Scientific Notation p. 22 #410, 14, 15
Reminders
Reminders
 Expanded form is a way of writing numbers that shows the value of each number as a power. You can leave out any digit that has a place value of zero
 Scientific Notation 1) Place a decimal after the first nonzero digit from left to right
 2) Start from where you place the decimal point and count the the number of places to the original decimal point. Use this as the exponent of 10
 3) Multiply the number as a product of 10
Day #6 Mid Chapter Review p. 25 #111
Reminders
Day #7 Square Roots p. 30,31 #3,4,611,17,19
Reminders
Reminders
 Be sure to seek out help if needed. This will prepare us for a mid chapter quiz next class.
Day #7 Square Roots p. 30,31 #3,4,611,17,19
Reminders
 A square root is on equal factor of a number. Ex. For 100 the square root is 10
 When using a calculator type the number and hit the square root button
 Rounding decimal rules Look at the number to the right of the place value you are rounding to
 If it is less than 5, the digit stays the same
 If it is 5 or more, the digit increases by one
Day #8 Order of Operations p. 36 #4,6,7
Reminders
Reminders
 When solving problems with more than one operation, we must follow order of operations
 Complete operations in the following order
 Brackets
 Exponents
 Division/Multiplication in the order they appear
 Addition/Subtraction in the order they appear
Day #9 Order of Operations Continued p. 36 #10,11, 1315
Day #9 Chapter Review (Part 1) p. 43 #16
Day #10 Math Test
Proportional Relationships
Day #1 Expressing Fractions as Decimals p.50 #712
Reminders
 To find a decimal with a fraction, "fraction tip". That is divide the numerator by the denominator
 Repeating Decimals are decimals with one or more repeating digits ex0.33333.... or 0.123123123....
 Terminating Decimals have a decimal that ends after a certain number of digits ex 0.32
 Bar Notation  We use a horizontal bar over the repeating part of the decimal.
Day #2 Multiplying and Divding Decimals p. 54 #313
Reminders
Used Ipad App Long Division to work with students to see the animation of how to complete long division
Reminders
 When multiplying add up the number of decimals in the question. Multiply and move the decimal over to the left the total number of decimal places in the question
 When dividing decimals if there is a no decimal in the divisor, simply divide and put the decimal up in the quotient. If there is a decimal in the divisor, move the decimal by mulpilying both the divisor and dividend by a multiple of 10.
Used Ipad App Long Division to work with students to see the animation of how to complete long division
Day #3 Introducing Ratio  "A Math Love Story"
We watched the video below entitled "Bad Date" which explores the pursuit of a true 1:1 relationship. We then completed the following handout:
/uploads/6/5/3/3/6533755/bad_date_learner.pdf
We watched the video below entitled "Bad Date" which explores the pursuit of a true 1:1 relationship. We then completed the following handout:
/uploads/6/5/3/3/6533755/bad_date_learner.pdf
Day #5 Solving Proportions p.60 #711
Reminders
Reminders
 A ratio is an comparison of two or more quantities. We use a colon between the numbers. Ex. 2:5
 Terms  each number in a ratio is referred to as a term. For example 5:9 the terms are 5 and 9
 Equivalent Ratios  We can find equivalent ratios by multiplying or dividing each term by the same number Ex. 2:3=4:6
 To Solve a Proportion find the scale factor. A scale factor is the number we multiply or divide the terms by.
Day #6 Scale Factor
Today we watched the Math Snacks video, Scale Ella. This entertaining video explores "practical" uses of scale factor. We then completed the worksheets below which expanded upon the content of this video.
/uploads/6/5/3/3/6533755/scaleella_learner.pdf
Today we watched the Math Snacks video, Scale Ella. This entertaining video explores "practical" uses of scale factor. We then completed the worksheets below which expanded upon the content of this video.
/uploads/6/5/3/3/6533755/scaleella_learner.pdf
Day #7 Mid Chapter Review p. 63 #112
Reminders
Reminders
Reminders
 To find out if a fraction is terminating, look at the denominator and find its prime factors.
 If the prime factors are 2 and/or 5's only, then it is terminating
 If not then it is nonterminating
Reminders
 Speed  the rate at which a moving object changes position over time
 Rate  a comparison of two quantities measured in different units, and includes units
 Unit Rate  a rate in which the second number is 1. Ex 60km/h (here the h stands for one hour)
 We need to find the unit cost or the unit rate to compare two or more quantities.
Day #8 Representing Percent p. 70 #713
Reminders
Percent is a ratio or fraction that compares a number to one hundred.
Ex. 78% means 78/100
Using Percent Grids  To use a percent grid, we need to find out what each square represents. We divide the percent by 100 to find out what each square illustrates.
Reminders
Day # 9 Solving Percent Problems p. 74, 75 #814
Reminders
Reminders
 Always remember percent can be written as a fraction with a denominator of 100 Ex. 62/100 = 62%
 To convert a fraction to a percent, divide the numerator (top) by the denominator (bottom) and multiply by 100% Ex. 18/40 = 18
 In math "of" means "x" or multiply
 To solve 16% of 90 we convert 16 to a decimal and then mulitply it by 90 Ex .16 x 90 = 14.4
Day #10 Percent Problems Involving Decimals pp. 77,78 #510
Reminders
Reminders
 Discount is the amount off a sale item, usually expressed as a percent Ex 45% off
 To calculate a Sale Price, subtract the Discount from the Original Price
 Commission is the percent paid as a part of a sale to a sales person.
 Taxes are an amount paid in an addition to the original price.
 Interest is the amount of money a bank charges you for their money or fives you for using your money.
 Principal is the original amount.
 Interest Rate  The rate of interest charged per year.
Day #11 Chapter Review p. 85 #116
Day #12 Chapter Self Test p. 83 #114
Day #12 Chapter Self Test p. 83 #114
Integer Operations
Day #1 Exploring Addition and Subtraction of Integers Using Integer Tiles p. 181 #58, and two worksheets
Reminders
Day #1 Exploring Addition and Subtraction of Integers Using Integer Tiles p. 181 #58, and two worksheets
Reminders
 A positive integer is a number that is above zero. Ex. Positive 3 can be written as +3 or simply 3
 A negative integers is a nubmer that is below zero. Ex. Negative 6 can be written as 6
 Opposite integers are integers with opposite signs. So +6 and 6 are opposite integers.
When using integer tiles the red tiles, or the hot tiles are positive and the blue or cool tiles are negative.
When adding integers use the Zero Principle, to solve. We pair up positive and negative tiles and remove these. What is left is our answer. If they are blue tiles the answer is negative and if the tiles are red the answer is positive.
When subtracting we include both colours. If the question is +3  (2). We include two of each colour. We then subtract the negative tiles (blue) two of them leaving 5 red. The answer would then be positive 5.
Day #2 Adding and Subtracting Integers (Using Rules) p. 186 #
Reminders
Reminders
 When adding if the signs are the same add and keep the same sign. If the signs are different find the difference (subtract) and keep the sign of the highest digit.
 When subtracting, add the opposite of the second integer.
 Opposite integers are the same numbers with the opposite sign. Ex the opposite of 4 is +4. Remember that 0 is neither + or .
Day #3 Multiplying Integers p. 192,193 1018
Reminders
Reminders

If the signs are the same the answer is positive (+)x(+)=(+) and ()x()=()
If the signs are different the answer is negative ()x(+)=() and (+)x()=()
Day #4 Mid Chapter Review p.196 #17, 1016
Day #5 Dividing Decimals p. 202, 203 #820
Reminders
Day #5 Dividing Decimals p. 202, 203 #820
Reminders
 Follow the same rules as multiplication. If the signs are the same the answer is positive. If the signs are different the answer is negative.
Day #6 Order of Operations with Integers p. 206 #58
Reminders
Reminders
 Don't forget to use BEDMAS for order of operations
 Be sure to use all your integer rules when solving problems with more than one operation
Day #7 Order of Operations with Integers p. 206 #913
Day #8 Working Backwards p. 210 #4, 811
Day #9 Chapter Review p.215 #18
Day #10 Chapter Self Test p.213 #111
Day #8 Working Backwards p. 210 #4, 811
Day #9 Chapter Review p.215 #18
Day #10 Chapter Self Test p.213 #111
Fractions
Day #1 Identifying and Writing Fractions
Reminders
 Numerator is the top number of a fraction (Number of items considered)
 Denominator is the bottom number of a fraction (Total number of items)
Day #2 Adding and Subtracting Fractions p. 288 #718
Reminders
Reminders
 Find a common denominator
 Add/Subtract Numerators only, denominator stays the same.
Day #3 Adding and Subtracting Fractions Greater Than 1 p.293 #717
Reminders
Reminders
 To add or subtract mixed numerals , first convert to improper fractions
 Be sure to find a common demonimator
 Remember to add or subtract numerators (top) only, denominator (bottom) stays the same.
Day #4 Fractions of Fractions (Fraction Strips) p. 298, 299 #811
Reminders
Day #5 Multiplying Fractions p. 302 #714
Reminders
Reminders
 Fraction Strips are visual models to help you visualize and introduce multiplying fractions
Day #5 Multiplying Fractions p. 302 #714
Reminders
 "Of" means x or multiply
 You don't have to find a common denominator
 Multiply numerator by numerator (top by the top) and denominator by denominator (bottom by the bottom).
Day #6 Mid Chapter Review p. 306 #115
Reminders
Day #7 Mid Chapter Review Continues p.307 #1626
Reminders
 A bit of a chance to catch our breath in the unit
 When adding, subtracting or comparing fractions find a common denominator
 When multiplying or dividing fractions you do not need a common denominator
Day #7 Mid Chapter Review Continues p.307 #1626
Day #8 Multiplying Fractions Greater Than 1 p.310 #815
Reminders
Reminders
 Convert mixed numbers to improper fractions
 Remember multiply numerator by numerator and denominator by denominator
Day #9 Mid Chapter Quiz
Day #10 Dividing Fractions Using Common Denominators p. 314 #815
Reminders
(Sorry no video links available for this method)
Day #11 Dividing Fraction Using Reciprocals p. 319 #813
Reminders
Day #10 Dividing Fractions Using Common Denominators p. 314 #815
Reminders
 One way to solve fractions that are divided is to find a common denominator
 The common denominators cross out and we divide the numerators only
(Sorry no video links available for this method)
Day #11 Dividing Fraction Using Reciprocals p. 319 #813
Reminders
 A reciprocal is when we flip the fraction (numerator becomes denominator and vice versa)
 To divide multiply by the reciprocal of the 2nd fraction
 Be sure to put your answer in simplest form
Day #12 Order of Operation p.326 #68
Reminders
Reminders
 This will be one of the more challenging days in the unit as we combine all the concepts in these questions
 Don't forget to use BEDMAS to follow order of operations
 Remember to compare, add and subtract fractions you need a common denominator
Day 13 Chapter Review p. 330, 331 #114
This is your final opportunity to seek out assistance with concepts you are having difficulty with.
Day 13 Chapter Review p. 330, 331 #1527
Check out this fractions rap video. That's just how we roll.
This is your final opportunity to seek out assistance with concepts you are having difficulty with.
Day 13 Chapter Review p. 330, 331 #1527
Check out this fractions rap video. That's just how we roll.