Number Relationships
Day #1 Identifying Prime and Composite Numbers p.6 #4-17
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 10-13
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 #3-7 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 #4-10, 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 non-zero 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 #1-11
Reminders
Day #7 Square Roots p. 30,31 #3,4,6-11,17,19
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 #3,4,6-11,17,19
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, 13-15
Day #9 Chapter Review (Part 1) p. 43 #1-6
Day #10 Math Test
Proportional Relationships
Day #1 Expressing Fractions as Decimals p.50 #7-12
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 #3-13
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 #7-11
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 #1-12
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 non-terminating
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 #7-13
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 #8-14
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 #5-10
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 #1-16
Day #12 Chapter Self Test p. 83 #1-14
Day #12 Chapter Self Test p. 83 #1-14
Integer Operations
Day #1 Exploring Addition and Subtraction of Integers Using Integer Tiles p. 181 #5-8, and two worksheets
Reminders
Day #1 Exploring Addition and Subtraction of Integers Using Integer Tiles p. 181 #5-8, 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 10-18
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 #1-7, 10-16
Day #5 Dividing Decimals p. 202, 203 #8-20
Reminders
Day #5 Dividing Decimals p. 202, 203 #8-20
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 #5-8
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 #9-13
Day #8 Working Backwards p. 210 #4, 8-11
Day #9 Chapter Review p.215 #1-8
Day #10 Chapter Self Test p.213 #1-11
Day #8 Working Backwards p. 210 #4, 8-11
Day #9 Chapter Review p.215 #1-8
Day #10 Chapter Self Test p.213 #1-11
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 #7-18
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 #7-17
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 #8-11
Reminders
Day #5 Multiplying Fractions p. 302 #7-14
Reminders
Reminders
- Fraction Strips are visual models to help you visualize and introduce multiplying fractions
Day #5 Multiplying Fractions p. 302 #7-14
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 #1-15
Reminders
Day #7 Mid Chapter Review Continues p.307 #16-26
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 #16-26
Day #8 Multiplying Fractions Greater Than 1 p.310 #8-15
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 #8-15
Reminders
(Sorry no video links available for this method)
Day #11 Dividing Fraction Using Reciprocals p. 319 #8-13
Reminders
Day #10 Dividing Fractions Using Common Denominators p. 314 #8-15
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 #8-13
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 #6-8
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 #1-14
This is your final opportunity to seek out assistance with concepts you are having difficulty with.
Day 13 Chapter Review p. 330, 331 #15-27
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 #15-27
Check out this fractions rap video. That's just how we roll.