Download Unit One Combined Notes

1-
Exploring Large Numbers
There are many ways that we will/can represent a number.
1)
2)
3)
4)
5)
____________ form
Word form
____________ form
Number-_________ form
________ Value
Ex. 371 165 321
What is the number worth?
1) Standard Form: ___________________
2) Word Form: Three hundred - seventy one ____________ one hundred sixty five
_________ three hundred twenty one
3) 300 000 000 + ________________+ ________________+ 100 000 + 60 000 +
__________ + 300 + 2 +1
4) 371 Million _____ thousand ______
5) Place Value
MILLIONS
THOUSANDS
UNITS
Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens
3
1
1
3
Ones
Class work:
Text Page 44-50 Questions 1-5, 7,8,12,14
Homework:
Find two of the biggest numbers you can one in your home, one in your room
Remember to tell where you found the number and show two ways of writing the
number for tomorrow.
Exploring Multiples
Multiples of a ___________ are what a number increases by:
Ex: 3: 3,,6,9,___, ____, 18….
Meaning:
3:
3X1=3
3X2=6
3X3=9
3X4=___
3X5= ___
3X6=18
Common Multiples:
This relates to two or more different numbers. Finding the multiples of each of those numbers and
seeing which numbers they share.
Ex:
3: 3,,6,9,___, ____, 18,21,24,27
7: 7,14,___,28,35….
What are common in each?
The common multiple is _____
Lowest Common Multiple or Least Common
The multiple that is the smallest multiple in the group
Ex:
2: 2,4,6,8,10,___,___,16,18,20
4: 4,8,12,___,20
What numbers do they share in “common”
These are all ________________________. But _____ is the least __________ multiple, meaning the
smallest of the common multiples.
Textbook:
Page 56-57: ALL
Prime & Composite Numbers
Prime Number: a number with _____________ two ____________, 1 and ______________.
*** meaning- a number that can only be multiplied to get by multiplying itself by ______.
Ex: 1 X 17 = 17
Factor 1 & Factor 17 = 2 Factors = _____________ number
Ex: 7 = 1 X 7
Prime ____________ 7 is made up of ______ _______________ 1 & ______
What are some other Prime Numbers:
Composite Numbers: a number with ____________ than two ______________.
Ex: 8= 1 X 8; 2 X 4
8 has _______ factors so it is a ___________________ number
Rainbow Factor:
20:
1
2
4
5
10
20
What are some more composite numbers?
Page 61: Q: 1-8 extra #15 “No colour tiles for this block
Investigating Factors
Perfect Numbers: When the __________ of a number ________ up to the number last factor
Ex. 6: The Factors are 1, ____, ____, and 6
1 + _____ + _____ = 6
6=6
this makes 6 a ___________ number.
Common Factors using a Venn diagram:
Ex: 16 & 28
16: 1, 2, ____, _____, 16
28: 1, 2, _____, _____, 14, 28
*Remember this area is for what numbers they share.
The common _____________ of 16 & 28 are 1,2,4
Composite _______________ can be written as ______________ of its factors
What together multiply to give you the Number?
Ex: Using a rainbow
1
2
3
4
6
8
12
24
The factors of ________ are: 1, 2, 3, 4, ____, ____, 12, ____
We can sort the factors:
PRIME NUMBERS
Factor Tree:
24
The Prime Factors are:
TEXTBOOK: Page 65 Q: 1-8
24
Order of Operations
When a problem involves more than one ___________ we have to follow an
order to solve it:
BDMAS
Step 1: Brackets
Step 2: ______________ or _____________
Step 3: ______________ or _____________
****** Important******
We solve math problems from ____________ to ____________ just like how we
read a book.
Ex:
18 – (10 + 6)
Ex:
42 – (2 X 3) + 4
18 - _______
=
42 – _____ + 4
42 - _____
=
Ex:
1+1+2x6÷3
1+1+______÷3
1+1+ _______
______ + _______
=
TEXTBOOK: Page 72-73 Q: 1,2,4,5,6,10,12
What is an Integer?
An integer is all __________ and __________ numbers, excluding ___.
Numbers such as (+16) and (-12) are _____________.
(+16) is a ___________ integer
(-12) is a ___________ integer
We can use tiles to represent integers
Ex:
Represents (+1)
yellow tiles represent (+1)
Represents (-1)
red tiles represent (-1)
(-3)
(+2)
A number line may also be used to represent integers:
The arrow on the __________ line represents (____); we say___________ five.
**** The arrow always starts at ______ and ends on the number that is being represents.
Opposite Integers:
These are the same distance from ____ but are on ____________ sides of ______.
(______) and (_______) are opposite integers.
CLASSWORK:
TEXTBOOK PAGE 76-77 QUESTIONS: 1-4, 6,7,9
Comparing and Ordering Integers
Any number to the right of an ___________ are __________ than that integer.
Any number to the left of an ___________ are ___________ than that integer.
The number line can be used to compare integers
(+2) is to the right of (-3) on a number line.
(+) is greater than (-3), so we write (+2)
(-3)
To order the integers (+3), (-2), (+1), 5
The integers increase from __________ to __________
So, the integers from least to __________ are: _____________________
The integers from greatest to least are: ___________________
CLASSWORK
TEXTBOOK PAGE: 80-81 QUESTIONS: 1,3,4,5,7,9,10,12