Slide 1 / 162 Slide 2 / 162 Fourth Grade Fraction Decimal Concepts 2015-11-23 www.njctl.org Slide 3 / 162 Table of Contents - Number Line Location - Convert Decimals to Fractions - Convert Fractions to Decimals Click on the topic to go to that section - Understanding Fractions - Mixed Numbers - Compare and Order Fractions - Equivalent Fractions Slide 4 / 162 Understanding Fractions click to return to table of contents Slide 5 / 162 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 # # Mr. Number Line is taking a short nap. He's a little tired from a long day of problem solving! What type of numbers is he using to count sheep? 1 2 3 4 5 Positive WHOLE Numbers Click for Answer Slide 6 / 162 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 # # While napping, Mr. Number Line is dreaming of pepperoni pizza! What type of numbers would you use to help Mr. Number Line count the total number of pizzas in his dream? Fractions and/or Mixed Numbers Click for Answer Talk to an elbow partner and share how you would count the pizzas. How are fractions different from whole numbers?
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Slide 1 / 162 Slide 2 / 162
Fourth Grade
Fraction Decimal Concepts
2015-11-23
www.njctl.org
Slide 3 / 162
Table of Contents
- Number Line Location
- Convert Decimals to Fractions- Convert Fractions to Decimals
Click on the topic to go to that section
- Understanding Fractions- Mixed Numbers- Compare and Order Fractions- Equivalent Fractions
Slide 4 / 162
Understanding Fractions
click to return to table of contents
Slide 5 / 162
1 02345678910 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
##
Mr. Number Line is taking a short nap. He's a little tired from a long day of problem solving!
What type of numbers is he using to count sheep?
12 3
4 5
Positive WHOLE NumbersClick for Answer
Slide 6 / 162
1 02345678910 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
##
While napping, Mr. Number Line is dreaming of pepperoni pizza! What type of numbers would you
use to help Mr. Number Line count the total number of pizzas in his dream?
Fractions and/or Mixed NumbersClick for Answer
Talk to an elbow partner and share how you would count the pizzas.
Fractions represent what is BETWEEN whole numbers. A fraction is a PART of a WHOLE.
The first fractions we will learn about are PROPER FRACTIONS. Examples of proper fractions are shown below in word form:
one
half
one
quarter
two
thirds
three
fourths
four
fifths
three
eighths
five
tenths
one
sixths
Proper Fractions in Standard Form: 38
23
510
14
45
12
34
16
Slide to the right to reveal fractions in standard form.
Slide 8 / 162
38
23
510
14
45
12
34
16
Let's look at the 8 proper fractions we discussed on the previous slide.
Talk to an elbow partner and share what you know about these proper fractions. Write down any important ideas you discuss with
your partner so that you can share these ideas with the whole class.
We will organize our ideas on the next slide.
Slide 9 / 162
38
23
510
14
45
12
34
16
Slide 10 / 162
Let's review what we know so far about fractions.
0 1 2
{1. All Proper Fractions can be found between 0 and 1 on a number line.
Proper Fractions
2. Whole numbers are the first types of numbers we learn about. Whole numbers are found in the real world, but fractions are used much more frequently.
Brainstorm with a partner where we can find fractions in the real world.
Slide 11 / 162 Slide 12 / 162
123
4567
8910
1211
1/4c
1/2c
3/4c
1c
Slide 13 / 162
Let's review some important vocabulary to help us better understand fractions. Noomy the Numerator and Deeno the
Denominator are here to help us.
Noomy the numerator represents the top part of a fraction.
He shows the PART of the fraction that we are looking at.
PART and Purple both start with P.
Deeno the denominator represents the bottom of a fraction.
He shows the WHOLE (or ONE) that we are looking at.
ONE and Orange both start with O.
Slide 14 / 162
Every fraction is division and every division problem can be shown as a fraction. Even the division sign looks like a fraction.
Click on the top part of the division sign.
Click on the bottom part of the division sign.
NUMERATOR
DENOMINATOR
Slide 15 / 162
Fractions can be used to name a part of a whole object.
You ate of the pie.
Slide 16 / 162
Fractions can also be used to name a part of a collection of objects.
of the balls are
needed for practice.
Slide 17 / 162
Naming Fractions
23
top number = numeratorbottom number = denominator
Slide 18 / 162
1 Which number is the numerator in the fraction?
Slide 19 / 162
2 Which number is the denominator in the fraction?
Slide 20 / 162
3 Which fraction has a 5 in the denominator?
A
B
C
Slide 21 / 162
4 Which fraction has a 3 in the numerator?
A
B
C
Slide 22 / 162
5 What fraction of this set is blue?
Slide 23 / 162
6 What fraction of this set is purple?
Slide 24 / 162
7 What fraction of this set is red?
Slide 25 / 162
Mixed Numbers
click to return to table of contents
Slide 26 / 162
Take out the following number of pattern blocks
hexagon1
trapezoid9
rhombus
8
triangle11
Slide 27 / 162
If a hexagon is worth 1, what are 3 trapezoids worth?
click for answer
Slide 28 / 162
If a hexagon is worth 1, what are 4 rhombi worth?click for answer
Slide 29 / 162
8 If a hexagon is worth 1, what are 5 triangles worth?
click for answer
Slide 30 / 162
9 If a hexagon is worth 1, what are 5 trapezoids worth?