Download Math Chapter 1

Chapter 1
Lesson 1-1
Objective/ I can…
I can…
understand whole numbers
Homework:
Worksheet 1-1
New Vocabulary
• Standard form:
number form (ex: 1,234)
• < “less than”
• = “equal”
• > “greater than”
Examples and Notes
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
Ten Millions
Hundred Millions
Billions
Ten Billions
Hundred Billions
Trillions
Ten- Trilions
Hundred Trillions
15
138
1,862, 394
Place Value:
Ones
Thousands
Millions
Billions
Trillions
Examples and Notes
• Compare:
• 8,215 ______ 8,125
• 8,801 ______ 810
______ 801
• 29,286_____ 29,826 ______ 29,628
Examples and Notes
• Write in words:
• 1,256• One thousand, two hundred, fifty six.
– No “AND”!
• 1,001,001
• One million, one thousand, one
Lesson 1-2
Objective/ I can…
I can…
Estimate with whole numbers
Homework:
Worksheet 1-2 and puzzle 1-2
New Vocabulary
• Compatible numbers:
• Numbers that are easy to
compute mentally
Examples and Notes
• Estimate by rounding (nearest 10 or 100):
• 37 + 62 + 48
• 40 + 60 + 50 ≈ 150
• 121-82
• 120 -80≈ 40
Examples and Notes
•
•
•
•
•
•
•
•
•
Compatible Numbers (use mainly for x and ÷):
38÷6
36 ÷6 ≈6
47 ÷8
48÷8≈6
29×41
30×40≈1,200
2×3,978
2×4,000 ≈8,000
Khan Academy Links
• Video:
• http://www.khanacademy.org/math/arithmeti
c/multiplication-division/v/rounding-wholenumbers-3
• Activities:
• http://www.khanacademy.org/math/arithmeti
c/decimals/e/rounding_whole_numbers
Lesson 1-3
Objective/ I can…
I can…
Understand and use the
properties of numbers
Homework:
Worksheet 1-3
Khan Academy Links
•
•
•
•
•
•
Video:
Commutative
Associative
Activities:
Commutative Practice
Associative Practice
Lesson 1-4
Objective/ I can…
I can…
Apply the order of operations
Homework:
Worksheet 1-4 and p 18, #230 evens
New Vocabulary
• Expression: No equal sign ( 3x5x2 )
P arentheses
E xponents
“Please Excuse My
M ultiplication Dear Aunt Sally”
D ivision
A ddition
S ubtraction
Examples and Notes
• Find the value of each expression:
• 17- 4 x 2
• 34 + 5 x 2 - 17
Examples and Notes
• Find the value of each expression:
• (6+18) ÷ 3 × 2
• (12-9) × (6+1)
Examples and Notes
• Find the value of each expression:
• 200 – (99 ÷ 3) × 2
Khan Academy Links
•
•
•
•
Video:
Order of Operations
Activities:
Order of Operations Practice
Lesson 1-5
Objective/ I can…
I can…
Read, write and round
decimals
Homework:
Worksheet 1-5, P.24 #4-32 evens
New Vocabulary
• Expanded form:
• A sum that shows the place value of each
number
• Ex: standard form
0.75
• Expanded form
0.7 + 0.05
• Ex: standard form
1.601
• Expanded form
1 + 0.6 + 0.001
Place value (right of the decimal)
Trillionths
Hundred billionths
Ten Billionths
billionths
Hundred millionths
Ten millionths
Millionths
Hundred thousandths
Ten thousandths
thousandths
hundreths
Tenths
.
Ones
Hundreds
Examples and Notes
•
•
•
•
Ex: 2.65
Read the place value word for the last number
The 5 is in the hundredths place so,
Two and Sixty Five hundredths
Examples and Notes
•
•
•
•
Ex: 13.841
Read the place value word for the last number
The 1 is in the thousandths place so,
Thirteen AND eight hundred for one
thousandths
Examples and Notes
•
•
•
•
Ex: 9.04
Read the place value word for the last number
The 4 is in the hundredths place so,
Nine and four hundedths
Examples and Notes
• Rounding Decimals
– Same as rounding whole numbers
• Underline the place value you’re rounding to.
• Look next door, 0-4 to the floor, 5-9 climb the
vine!
Examples and Notes
• Round to the nearest hundredth
• 1.5226
1.5226
• Round to the nearest tenth
• 9.0865129
Khan Academy Links
•
•
•
•
Video:
Rounding Decimals
Activities:
Rounding Decimals Practice
Lesson 1-6
Objective/ I can…
I can…
Compare and Order Decimals
Homework:
Worksheet 1-6 and p.29 #2-20
(evens)
New Vocabulary
• Annex: to add a zero at the end of a
decimal number
• Ex: 0.3 (three tenths)
• Ex: 0.30 (thirty hundredths)
• Does not change the value of the number
(0.3 = 0.30)
Examples and Notes
• Use a model to compare 0.4 and 0.36
0.4
________
0.36
Examples and Notes
•
•
•
•
•
•
•
An easier way… Annex zeros
Order from least to greatest
0.5
0.61
0.07
0.312
Answer:
Examples and Notes
• Order from least to greatest
• 3.059, 3.64, 3.46 (use annex zeros)
• Answer
Khan Academy Links
•
•
•
•
Video:
Ordering Decimals
Activities:
Ordering Decimals
Lesson 1-7
Objective/ I can…
I can…
Add and subtract decimals
Homework:
Worksheet 1-7 and p.34 #6-26 evens
Show your work!!!
New Vocabulary
• Front End Estimation: Add the front
digits, then estimate the rest.
Ex: 1.79
1.29
+ 1.49
Solve:
Examples and Notes
•
•
•
•
For + and -, LINE UP THE DECIMAL POINTS!
6.8 + 4.65 + 2.125
Estimate first
Then solve (annex zeros)
• Are they close?
Examples and Notes
•
•
•
•
For + and -, LINE UP THE DECIMAL POINTS!
3.026 + 14.7 + 1.38
Estimate first
Then solve (annex zeros)
• Are they close?
Examples and Notes
• Front End estimation
• 2.1 +3.4
• (whole #s, then decimals, then combine)
• Answer: _________
Examples and Notes
• Front End estimation
• 3.92 + 16.21
• (whole #s, then decimals, then combine)
• Answer: ________
Examples and Notes
•
•
•
•
Front End estimation
16 – 8.79
(whole #s, then decimals, then combine)
Annex zeros
• Answer:_____
Khan Academy Links
•
•
•
•
•
•
Video:
Add Decimals
Subtract Decimals
Activities:
Add Decimals
Subtract Decimals
Lesson 1-8
Objective/ I can…
I can…
Multiply decimals
Homework:
Worksheet 1-8
Khan Academy Links
•
•
•
•
Video:
Multiply Decimals
Activities:
Multiply Decimals Practice
Lesson 1-9
Objective/ I can…
I can…
Divide decimals
Homework:
Worksheet 1-9
Khan Academy Links
•
•
•
•
Video:
Divide Decimals
Activities:
Divide Decimals Practice