Download Unit 1 Numbers

UNIT 1
Numbers
-PLACE VALUE (PAGE 46-54)
--MULTIPLES (PAGE 55-58)
-PRIME AND COMPOSITE (PAGE
59-62)
-FACTORS (PAGE 63-66)
-ORDER OF OPERATIONS (PAGE
70-73)
Place Value (Page 46-54)
https://www.youtube.com/watch?v=omkDLmfvetk
https://www.youtube.com/watch?v=qOgWFBVdots
https://www.youtube.com/watch?v=T5Qf0qSSJFI
Place Value (Page 46-54)
Please copy this chart into your notes.
Think of each section as a house.
Place Value (Page 46-54)
Please copy this chart into your
notes.
Let’s look at Page 47 in your
Place Value (Page 46-54)
 When reading numbers you start from the first

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number on the left and read them as they appear
in their house and then use their last name.
Example: 23 456 = twenty three thousand, four
hundred fifty six.
You can write numbers in three different ways:
Standard form: 23 456
Expanded form: 20 000 + 3000 + 400 + 50 + 6
Number-Word form: twenty three thousand, four
hundred fifty six OR 23 thousand 456.
Practice
 Write the following numbers in expanded and
number-word form:
- 234 -3567 -45 678 -906 571
 Write the following numbers in standard and
number-word form:
- 500 + 70 + 9
- 40 000 + 500 + 60 + 4
- 5 000 000 + 400 000 + 70 000 + 3 000 + 900 +
90
 Write the following numbers in standard and
expanded form:
 Five million, three hundred thirty five thousand,
two hundred fifty six.
 Eight thousand, eight hundred eighty
Assignment
 Textbook Page 48 -49
 Question 1 – 9
 If you get done early complete question 10 and 11.
Place Value (Page 46-54)
 https://www.youtube.com/watch?v=fd-

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E18EqSVk
You estimate or round a number in order to
make it easier to work with.
Which is easier to answer?
23 + 8 = OR
20 + 10=
You can round to the nearest ten, hundred,
thousand, million, and so on. Make sure you
read your question(s) carefully to see what
it’s asking for.
Place Value (Page 46-54)
 When rounding make sure you look at the
number after the number place you are
rounding to.
 Example: If I asked you to round to the
nearest tens spot and your number was 234
you need to look at the number after the
tens spot to decide if you are round up or
down (keeping it the same.)
 3 is the number in the tens spot and 4 is
unit after in the ones spot.
Place Value (Page 46-54)
 When the number after the target digit (the place
value you are rounding to) is 0, 1, 2, 3, 4 then you
keep your target digit.
 When the number after the target digit (the place
value you are rounding to) is 5, 6, 7, 8, 9 then you
round your target digit up one number.
Example: If I was asked to round to the nearest
tenth
 3457= 3460 (Because the number after the 5 is a
7, I need to round up)
 5463= 5460 (Because the number after the 6 is a
3, I need to round down (keep it the same)
Practice
 Round the following numbers to the nearest
hundreds.
- 2398
-45 672
-1 236 785
 Round the following numbers to the nearest
thousands.
- 2398
-45 672
-1 236 785
 Round the following numbers to the nearest
ten million.
-239 856 347
-45 672 111 -1 342 236
785
Place Value (Page 46-54)
Example PAT Question
 Mrs Baker went to a computer shop with $2000 to
buy a computer and accessories. She finds a
computer that costs $989 and a computer desk that
costs $105. Before she makes the purchases, she
estimates the amount of money that she will have left
over.
A. $800
B. $900
C. $1000
D. $1100
Assignment
 Textbook Page 52-54, Questions 1 -7
 If you get done do questions 8-11.
Multiples (Page 55-58)
To find a multiple of a number all you need
to do is skip count. Make sure to start at the
original number.
Example what are the multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28,
30 and so on.
Example what are the multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80 and so on.
Practice
Remember you need to count the original
number when finding multiples.
If I found the first 10 multiples of the number 4
my answer would look like this
4, 8, 12, 16, 20, 24, 28, 32, 36, 40 ( there’s the
first ten, go ahead count them)
 Find the first 10 multiples of the following
numbers:
 -3
-5
-10
-100
Common Multiples (Page 55-58)
 When comparing the multiples of two
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
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

numbers you need to find the multiples of
those numbers and check to see which
numbers they have in common (the same.)
Example: What common multiples do 3 and 4
have?
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
What numbers are the same on both lists?
Could there be more?
Practice
 What’s the first 2 common multiples of the
following numbers:
-5 and 6
- 4 and 2
- 3 and 9
- 2 and 10
- LCM (Lowest common multiple) is the
smallest number that they have in
Practice
 Is 560 a common multiple of 2 and 5? How do you
know?
 When a question asks you is this number a multiple




of this number. You can find the answer quick on
your calculator.
Is 869 a multiple of 3
Go 869 ÷ 3 = 289.66666666666 (It’s a decimal so
it’s not a multiple.)
Is 399 a multiple of 3
Go 399 ÷ 3 = 133 (It’s a whole number so it’s a
Multiples
Example PAT question
Multiples
Example PAT question
How many times do Heather and Samuel work
together in the month of July?
A. 1
B. 2
C. 3
D. 4
Assignment
 Textbook Page 56- 58 Questions 1-15
 If you get done early do question 16-17.
Prime and Composite (Page 59-62)
 https://www.youtube.com/watch?v=jpMYfW
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9XziU
Factors: The numbers used in multiplication.
Example 3 X 4 = 12
3 and 4 are factors
and 12 is the product.
Prime numbers: Only have 1 and itself as
factors. Example: 3 1 X 3 = 3 Is there any
way to get the product 3 using multiplication
besides 1X 3 or 3 X 1 ?
Factors are 1 and 3 so 3 is a prime number.
Composite numbers: Have more than 1 and
itself and factors.
Prime and Composite (Page 59-62)
 What are all the factors of
-2
-6
-10
-15
-24
-100
THINK OF ALL THE WAYS YOU CAN GET THOSE
PRODUCTS. YOU MUST USE MULTIPLICATION
ONLY.
Prime and Composite (Page 59-62)
 https://www.youtube.com/watch?v=V08g_lkKj6Q
 Use the hundreds chart provided and follow along
with the video.
Prime and Composite (Page 59-62)
Example PAT question
Assignment
 Textbook Page 61- 62, questions 1-9.
 If you get done early complete questions 10-15.
Factors (Page 63-66)
 https://www.youtube.com/watch?v=0NvLtTwn
UHs&list=PLEWSaKbWxlxV_3pCq0Blc6VcjdgK
01Anm
 Factors: The numbers used in multiplication.
Example 3 X 4 = 12  3 and 4 are factors and 12
is the product.
 When you find the factors of a number you need
to find ALL the factors. We will be looking a at
couple different ways to do this.
 Let’s look at the number 4, you can get the
product 4 by multiplying 1 X 4 and 2 X 2 
Those are the factor pairs.
Factor Rainbows
 This is a great way to find factors for a number.
 https://www.youtube.com/watch?v=wnjOLMYXRA
E
 Let’s do a few examples on the white board.
Practice
 Create factor rainbows for each of the following
numbers.
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
19, 20, 21, 22, 23, 24 ,25
Factor Trees
 This is a great way to find factors and prime
factorization.
 https://www.youtube.com/watch?v=uN_Kpia7JQ0
 https://www.youtube.com/watch?v=XGbOiYhHY2c
 https://www.youtube.com/watch?v=wC74BXIunQI
 Let’s try a few examples on the board.
GCF= Greatest Common Factor
 When asked to compare two numbers factors
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to find the GCF; you need to find all the
factors of those giving numbers and the find
the common numbers of both lists. The
greatest common factor is the highest number
they have in common.
Example:
12 and 18
12= 1 X 12, 2 X 6, 3 X 4  The factors are 1, 2,
3, 4, 6, 12
18 = 1 x 18, 2 x 9, 3 x 6  The factors are 1, 2
LCM AND GCF
 LCM= Lowest Common Multiple
 GCF- Greatest Common Factor
 https://www.youtube.com/watch?v=3W8SeYgZcMo
(Ladder method.)
Factors
Example PAT Question
Factors
Example PAT Questions
Which of the following pairs of numbers are prime
factors for both 45 and 60?
A. 2 and 3
B. 2 and 5
C. 3 and 3
D. 3 and 5
Which of the following numbers is not a common
factor of 44 and 66.
A. 1
B. 4
C. 11
D. 22
Assignment
 Page 65-66, questions 2-10
 If you get finished early please
complete the remaining
questions on those two pages.
Order of operations (Page 70-73)
How do you answer 9 x 10 – (30 + 30) = ?
If you just started solving the problem from left to
right you will get the wrong answer. There’s rules to
answering equations. (Don’t worry, it’s easy.)
https://www.youtube.com/watch?v=dAgfnK528RA
https://www.youtube.com/watch?v=ZzeDWFhYv3E
https://www.youtube.com/watch?v=zanq7gmXY88
Order of operations (Page 70-73)
BEDMAS (In the USA the call it PEDMAS)
 B is for Brackets (P would be for parenthesis)
 E is for Exponents
These are considered equal.
 D is for Division
You solve for which comes first.
 M is for Multiplication
These are considered equal.
 A is for Addition
You solve for which comes first
 S is for Subtraction
Order of operations (Page 70-73)
Let’s try our equation from a couple slides ago:
9 x 10 – (30 + 30) = ?
Step 1: Are there any Brackets? Yes, inside is 30 +30; so let’s
answer that first. 30 + 30 = 60
Step 2: Rewrite the equation
9 x 10 – 60
Step 3: Are there any multiplication/division symbols? Yes, 9
X 10;
So let’s answer that. 9 x 10 = 90
Step 4: Rewrite the equation
90 – 60
Step 5: Are there any addition/subtraction symbols? Yes, 90 –
60; so let’s answer that. 90 – 60 =30.
Step 6: Write out the answer with the original equation:
Practice
Answer the following examples using
BEMAS:
35 – 16 ÷ 4 =
8 x ( 6 + 4) =
86 – 9 X 9 =
Order of operations (Page 70-73)
Example PAT questions
Order of operations (Page 70-73)
Example PAT questions
Assignment
Textbook Page 72- 73, questions 1, 4-12
This is the end of the Number Unit. You
will have your test soon. Make sure to
use the study guide provided.
Games for Practice
 http://www.funbrain.com/tens/index.html
 http://www.hbschool.com/activity/elab2004/gr4/1.html
 http://www.fun4thebrain.com/beyondfacts/gcfsketch.ht
ml
 http://www.mathplayground.com/mathman.html
 http://www.learnalberta.ca/content/mejhm/index.html?I
D1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.INT
E&lesson=html/object_interactives/order_of_operations
/use_it.html
 http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/
order.shtml