Unit 2 Big Ideas.
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Unit 2 Big Ideas
Students develop understanding of why division procedures work based on the meaning of baseten numerals and properties of operations.Students They finalize fluency with multidigit addition, subtraction, multiplication, and division.They apply their understandings of models for decimals, decimal notation, and properties of operations to add and subtract decimals to hundredths.They develop fluency in these computations, and make reasonable estimates of their results.Students use the relationship between decimals and fractions, as well as the relationship between finite decimals and whole numbers (i.e., a finite decimal multiplied by an appropriate power of 10 is a whole number), to understand and explain why the procedures for multiplying and dividing finite decimals make sense.They compute products and quotients of decimals to hundredths efficiently and accurately.
Common Core Focus
5.NBT.1. Recognize that in a multidigit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Lesson
Notes
Extended Facts
Why do you add a zero in the product for every zero that is in the factors?
* Use a number line to help you visualize friendly numbers
Round to the Nearest One
___.___
___.___
Round to the Nearest Tenth
___.___
___.___
Round to the Nearest Hundredth
___.______
___.____
Round to the Nearest Ten
__0
__0
Round to the Nearest Hundred
__00
__00
Round to the Nearest Thousand
_,000
_,000
Round to the Nearest Ten Thousand
__0,000
__0,000
Round to the Nearest Hundred Thousand
__00,000
__00,000
* Use a number line to help you visualize friendly numbers
* Use a number line to help you visualize friendly numbers
Common Core Focus
Lesson
Notes
Base 10 Models Representing Numbers
Finding Place Value
Partial Sums Addition
Problem
Break The Parts
Put The Sums
Together
Add The Parts
Decimals:
Breaking One Into Groups of 10 and 100
Partial Sums Addition
Problem
Break The Parts
Put The Sums
Together
Add The Parts
+10,000
+1,000
+100
+10
+1
+.1
+.01
38+23=w
+3
+20
38
61
41
+20
+3
38
58
61
Common Core Focus
Lesson
Notes
97846837=t
Decimals:
Breaking One Into Groups of 10,100
10,000
1,000
100
10
1
.1
.01
6123=w

3
20
38
61
41
20
3
38
58
61
Common Core Focus
Lesson
Notes
2.4b Continue With Lesson 2.4a
Bar Modeling Teaches The Importance of Language When Solving Math Problems
Compa
R
e
Change
Parts Parts Parts Parts Parts Parts
and Wholes
Start Change End
=
+
4 butterflies were sitting on a branch. 2 more landed on the branch. How many butterflies were on the branch now?
Bar Modeling: Joining (AdditionChange)
Start Change End
=

There were 5 butterflies sitting on a branch. 2 flew away. How many were left?
Bar Modeling: Separating (Change Subtraction)
1st Part 2nd Part End
=
+
There were 4 butterflies and 2 ladybugs sitting on a branch. How many insects were sitting on the branch?
Bar Modeling: Part/Part/Whole
DIFFERENCE
Number Model:
___________________=_________ (more or less)
Larger Smaller
Amount Amount

=
Jim has 5 butterflies. Mary has 2. How many more butterflies does Jim have than Mary?
Bar Modeling: Comparison All(Finding The Difference)
Bar Model
1.)
Bar Model
2.)
Bar Model
3.)
Bar Model
4.)
Bar Model
5.)
Bar Model
6.)
Bar Model
7.)
Bar Model
8.)
Common Core Focus
Lesson
Notes
Common Core Focus
Lesson
Notes
*emphasis is on “about how big” not magnitude (substitute wording) Force the habit of kids estimating before ANY calculation. Reward this behavior!
Round To A Friendly Number
Area Model Estimate
70
10
60
68
70
10
14
20
Round To A Friendly Number
Area Model Estimate
____
____
___
___
___
___
Common Core Focus
Lesson
Notes
Common Core Focus
Lesson
34
x 22
Area Model
784
30
4
20
2
Area Model
Common Core Focus
Lesson
Note
Bar Model
1.)
Bar Model
2.)
Bar Model
3.)
Bar Model
4.)
Common Core Focus
Lesson
Notes
Problem
Area Model Estimate
50
9
Round To A Friendly Number
45
47
40
50
40 7
9
Problem
Area Model Estimate
___
__
Round To A Friendly Number
Area Model
___ ___
___
Common Core Focus
Lesson
Notes
Problem
Area Model Estimate
60
Round To A Friendly Number
10
50 55 56
60
10
13
15
20
50 6
10
3
Traditional Method: 2 Digit by 2 Digit
Problem
Area Model Estimate
____
___
Round To A Friendly Number
___ ___
___
___
Common Core Focus
Lesson
Notes
Problem
Area Model Estimate
300
40
Round To A Friendly Number
300 317
400
50
40 42
300 10 7
40
2
Traditional Method
Problem
Area Model Estimate
____
___
Round To A Friendly Number
___
___
___
___
___
Common Core Focus
Lesson
Notes
Multiplying Decimals and Whole Numbers
4x3=tt=
4x.3=tt=
Lesson
Notes
Common Core Focus
Lesson
Notes
Comparing Numbers
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