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Slide / 62 Slide 2 / 62 Fourth Grade Fraction Decimal Concepts 205--23 www.njctl.

Fractions - Convert Decimals to Fractions - Convert Fractions to Decimals - Number Line Location Understanding Fractions click to return to table of contents Slide 5 / 62

4 5 Positive Click WHOLE for Answer Numbers While napping, Mr. Number Line is dreaming of pepperoni pizza! What type of numbers would you use to help Mr.

1 Slide / 62 Slide 2 / 62 Fourth Grade Fraction Decimal Concepts Slide 3 / 62 Slide 4 / 62 Table of Contents Click on the topic to go to that section - Understanding Fractions - Mixed Numbers - Compare and Order Fractions - Equivalent Fractions - Convert Decimals to Fractions - Convert Fractions to Decimals - Number Line Location Understanding Fractions click to return to table of contents Slide 5 / 62 Slide 6 / 62 Mr. Number Line is taking a short nap. He's a little tired from a long day of problem solving! 2 3 What type of numbers is he using to count sheep? 4 5 Positive Click WHOLE for Answer Numbers 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 Click for Answer Mixed Numbers Talk to an elbow partner and share how you would count the pizzas. How are fractions different from whole numbers? # # # #

$A fraction is a PART of a WHOLE.$ $The first fractions we will$ $Examples of proper fractions$ are shown below in word form:

$the 5right to 4reveal fractions$ $proper fractions we discussed$ on the previous slide.

$about these proper fractions.$ Write down any important ideas

$about fractions.$ . All Proper Fractions can be

$real world, but fractions are$

2 Slide 7 / 62 Slide 8 / 62 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: three eighths three fourths one quarter one half Proper Fractions in Standard Form: 3 8 four fifths two thirds five tenths one sixths Slide 2 to the 5right to 4reveal fractions 3 in standard form 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 / 62 Slide 0 / Let's review what we know so far about fractions.. All Proper Fractions can be found between 0 and on a number line. Proper Fractions { 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 / 62 Slide 2 / 62 c 3/4c /2c /4c

$Slide 3 / 62 Let's review some important vocabulary to help us better understand fractions. Noomy the Numerator and Deeno the Denominator are here to help us.$ $Deeno the denominator represents the bottom of a fraction. He shows the WHOLE (or ONE) that we are looking at. ONE and Orange both start with O.$

3 Slide 3 / 62 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 4 / 62 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. NUMERATOR Click on the bottom part of the division sign. DENOMINATOR Slide 5 / 62 Slide 6 / 62 Fractions can also be used to name a part of a collection of objects. Fractions can be used to name a part of a whole object. of the balls are You ate of the pie. needed for practice. Slide 7 / 62 Naming Fractions Slide 8 / 62 Which number is the numerator in the fraction? 2 3 top number = numerator bottom number = denominator

4 Slide 9 / 62 2 Which number is the denominator in the fraction? Slide 20 / 62 3 Which fraction has a 5 in the denominator? A B C Slide 2 / 62 4 Which fraction has a 3 in the numerator? Slide 22 / 62 5 What fraction of this set is blue? A B C Slide 23 / 62 6 What fraction of this set is purple? Slide 24 / 62 7 What fraction of this set is red?

5 Slide 25 / 62 Slide 26 / 62 Take out the following number of pattern blocks trapezoid 9 Mixed Numbers hexagon rhombus 8 click to return to table of contents triangle Slide 27 / 62 Slide 28 / 62 If a hexagon is worth, what are 3 trapezoids worth? If a hexagon is worth, what are 4 rhombi worth? click for answer click for answer Slide 29 / 62 Slide 30 / 62 8 If a hexagon is worth, what are 5 triangles worth? 9 If a hexagon is worth, what are 5 trapezoids worth? click for answer

6 Slide 3 / 62 0 If a hexagon is worth, what are 8 rhombi worth? Slide 32 / 62 If a hexagon is worth, what are triangles worth? Slide 33 / 62 2 If a hexagon is worth, what are 9 trapezoids worth? Slide 34 / 62 Sometimes the hexagon is not worth one. What do we do if a unit other than one is given? First figure out what one is worth, then solve the problem. click Slide 35 / 62 3 If the triangle is, what shape is ONE? Slide 36 / 62 4 If the triangle is, what is a trapezoid worth? A hexagon B rhombus C trapezoid

$Slide 38 / 62 Fractions that are greater than one are often called improper fractions, even though there is nothing improper about$ $them. Improper Fraction Mixed Number Slide 39 / 62 A mixed number is a number that has a whole part and a fractional part.$ $First divide 3 by 6 For example: 6 is the whole part is the fractional part Divisor Quotient Remainder 5 6 3-30 Then write in the$

7 Slide 37 / 62 5 If the triangle is, what is the hexagon worth? Slide 38 / 62 Fractions that are greater than one are often called improper fractions, even though there is nothing improper about them. Improper Fraction Mixed Number Slide 39 / 62 A mixed number is a number that has a whole part and a fractional part. Slide 40 / 62 To convert an improper fraction to a mixed number. First divide 3 by 6 For example: 6 is the whole part is the fractional part Divisor Quotient Remainder Then write in the form: quotient remainder divisor click for mixed number Slide 4 / 62 Slide 42 / 62 To convert an improper fraction to a mixed number. Match the Mixed Numbers and Improper Fractions. First divide 30 by 4 Then write in the form: Divisor Quotient Remainder quotient remainder divisor

8 Slide 43 / 62 Slide 44 / 62 Slide 45 / 62 Slide 46 / 62 Slide 47 / 62 Slide 48 / 62

$Slide 49 / 62 Slide 50 / 62 The first step when comparing fractions is to look at the numerators and denominators.$

9 Slide 49 / 62 Slide 50 / 62 The first step when comparing fractions is to look at the numerators and denominators. Compare and Order Fractions numerators denominators click to return to table of contents Slide 5 / 62 Slide 52 / 62 When the denominators are the same: - the unit fractions are the same size - only need to compare the number of pieces # (numerators) need to be compared Reorder the following fractions from least to greatest. Slide 53 / Which of the following is ordered least to greatest? A B C Slide 54 / Which of the following is ordered greatest to least? A B C

$the denominator Reorder the following fractions from least to greatest.$ The larger the denominator, the smaller the size of each piece.

Slide 57 / 62 24 Which of the following is ordered least to greatest?

10 Slide 55 / 62 Slide 56 / 62 When the numerators are the same: - there are the same number of pieces - compare the size of the denominator Reorder the following fractions from least to greatest. The larger the denominator, the smaller the size of each piece. The smaller the denominator, the larger the size of each piece. Slide 57 / Which of the following is ordered least to greatest? A B C Slide 58 / Which of the following is ordered greatest to least? A B C Slide 59 / 62 If numerators and denominators are not the same, we need to use other methods to compare fractions. Use benchmarks to see if the fraction is close to 0, /2, or and then order them. Slide 60 / Which fraction is closest to zero? A C B D 0 2

11 Slide 6 / Which fraction is closest to one? Slide 62 / Which fraction is closest to a half? A C A C B D B D Slide 63 / 62 Slide 64 / Which fraction is closest to one? 30 Which fraction is closest to a half? A C A C B D B D Slide 65 / 62 Slide 66 / 62 3 Which fraction is closest to zero? A C Use benchmarks of 0, /2 and to order the fractions least to greatest. B D

$order the fractions least to greatest.$ Slide 68 / 62 32 Which of the following is

A B C Slide 69 / 62 Slide 70 / 62 33 Which

$work to compare fractions, we need to find$ $equivalent fractions in order to compare$ Slide 7 / 62 Slide 72 / 62 Click below to

$A fraction stick is a model for the whole,$

12 Slide 67 / 62 Use benchmarks of 0, /2 and to order the fractions least to greatest. Slide 68 / Which of the following is ordered least to greatest? A B C Slide 69 / 62 Slide 70 / Which of the following is ordered least to greatest? A B C Equivalent Fractions If the previous strategies don't work to compare fractions, we need to find equivalent fractions in order to compare them. click to return to table of contents Slide 7 / 62 Slide 72 / 62 Click below to use this interactive number line. A fraction stick is a model for the whole, or ONE. Use it to find equivalent fractions. Find equivalent fractions for

$Slide 73 / 62 Fraction Stick Chart Slide 74 / 62 34 Find an equivalent fraction for$ $fraction for Slide 77 / 62 37 Find an equivalent fraction for Slide 78 / 62 A fraction$

13 Slide 73 / 62 Fraction Stick Chart Slide 74 / Find an equivalent fraction for Slide 75 / Find an equivalent fraction for Slide 76 / Find an equivalent fraction for Slide 77 / Find an equivalent fraction for Slide 78 / 62 A fraction stick is a model for the whole, or ONE. Use it to compare fractions. Which number is larger? or

14 38 Which number is larger? Slide 79 / Which number is larger? Slide 80 / 62 A B A B Slide 8 / 62 Slide 82 / Which number is larger? Splitting Fractions Sticks to Make Equivalent Fractions A B What fraction of the whole is shaded? Slide 83 / 62 Slide 84 / 62 4 What fraction of the whole is shaded now? If a horizontal line is drawn to divide each part of the rectangle into 2 parts, what fraction of the whole is shaded? Has the shaded amount of the rectangle changed?

15 Slide 85 / What fraction of the whole is shaded? Slide 86 / Use these two horizontal lines to divide the whole. What fraction of the whole is shaded now? Slide 87 / Is the shaded region the same in each of these? Slide 88 / 62 What do you notice about the denominators in each set of equivalent fractions? Yes No Slide 89 / 62 Slide 90 / 62 What patterns have you noticed in the previous examples about making equivalent fractions? What important idea do we know about multiplying by? Multiplication Rule To find an equivalent fraction, multiply both the numerator and the denominator of the fraction by the same number.

$Slide 9 / 62 Use the multiplication table to make equivalent fractions. Slide 92 / 62 Find three equivalent fractions. 2 5 =?$

16 Slide 9 / 62 Use the multiplication table to make equivalent fractions. Slide 92 / 62 Find three equivalent fractions. 2 5 =?? Pull Slide 93 / Which two fractions are equivalent to? Slide 94 / What fractions are equivalent to? A B C D A B C D Slide 95 / 62 Slide 96 / What is a fraction equivalent to?

17 Slide 97 / 62 Slide 98 / What is a fraction equivalent to? What important idea to we know about dividing by? How can we use division to find equivalent fractions? Slide 99 / 62 Slide 00 / 62 Steps to Simplifying Fractions. Find the GCF of both numbers. 2. Divide the numerator and denominator by that number. 3. Answer will be the fraction in simplified form. GCF = 2 Slide 0 / What is in simplified form? Slide 02 / 62 5 What is in simplified form?

Slide 03 / 62 52 What is in simplified form?

18 Slide 03 / What is in simplified form? Slide 04 / What is in simplified form? Slide 05 / 62 Slide 06 / What is in simplified form? Slide 07 / 62 Slide 08 / 62

$2. The denominator represents the place value. 3. Simplify fraction if you can. Example: 0.$

19 Slide 09 / 62 Slide 0 / 62 Slide / 62 Slide 2 / 62 Converting Decimals to Fractions click to return to table of contents Slide 3 / 62 Converting a Decimal to a Fraction. Put the digits in the numerator. 2. The denominator represents the place value. 3. Simplify fraction if you can. Example: 0.9 = Slide 4 / 62 Match the following decimals with their fraction equivalents. 0.6 = 0.3 = 0.06 = 0.25 = 0.03 =

20 Slide 5 / 62 6 What fraction is equivalent to the decimal below? (Be sure answer is in simplified form.) Slide 6 / What fraction is equivalent to the decimal below? (Be sure answer is in simplified form.) 0.7 = 0.44 = Slide 7 / What fraction is equivalent to the decimal below? (Be sure answer is in simplified form.) Slide 8 / What fraction is equivalent to the decimal below? (Be sure answer is in simplified form.) 0.2 = 0.05 = Slide 9 / 62 Slide 20 / What fraction is equivalent to the decimal below? (Be sure answer is in simplified form.) 0.33 = Converting Fractions to Decimals click to return to table of contents

$Slide 2 / 62 Converting fractions to decimal form by changing the denominator. Steps:.$

21 Slide 2 / 62 Converting fractions to decimal form by changing the denominator. Steps:. Use mental math, the multiplication rule or the division rule to change each fraction to an equivalent fraction having a denominator of 0 or Write the new fraction as a decimal. Slide 22 / 62 Examples: x 4 x 4 x 5 x 5 _ 6 _ 6 Slide 23 / 62 Slide 24 / 62 Slide 25 / 62 Slide 26 / 62

22 Slide 27 / 62 Slide 28 / What is the fraction in decimal form? Slide 29 / 62 Slide 30 / 62 Slide 3 / 62 Slide 32 / 62

$Slide 33 / 62 Slide 34 / 62 Convert the following fractions to decimals.$

23 Slide 33 / 62 Slide 34 / 62 Convert the following fractions to decimals. When you can not make an equivalent fraction with a denominator of 0 or 00, then you must divide to find the decimal equivalent. Slide 35 / 62 Slide 36 / What is the fraction in decimal form? Slide 37 / 62 Slide 38 / What is the fraction in decimal form? 3 Notice what happens with this division. This is called a repeating decimal and it is written as 0.3 and is read as point three repeating.

24 Slide 39 / 62 Slide 40 / 62 Use a calculator to convert these fractions to decimals to see the repeating pattern. fraction calculator display decimal Slide 4 / 62 Slide 42 / 62 Slide 43 / 62 Slide 44 / 62 On the following number line, draw a line and move the decimals to their correct location. Number Line Location click to return to table of contents

Slide 48 / 62 79 Where would the following number be correctly placed on the number line? A B C D 9 0 9.

25 Slide 45 / 62 Slide 46 / 62 On the following number line, draw a line and move the decimals to their correct location. Label the numbers on the number line Slide 47 / 62 Label the numbers on the number line. Slide 48 / Where would the following number be correctly placed on the number line? A B C D Slide 49 / Where would the following number be correctly placed on the number line? Slide 50 / 62 8 Where would the following number be correctly placed on the number line? A B C D A B C D

Slide 5 / 62 82 Where would the following number be correctly placed on the number line? Slide 52 / 62 83 Where would the following number be correctly placed on the number line? A B C D A B C D 0 0.

26 Slide 5 / Where would the following number be correctly placed on the number line? Slide 52 / Where would the following number be correctly placed on the number line? A B C D A B C D Slide 53 / Where would the following number be correctly placed on the number line? Slide 54 / Where would the following number be correctly placed on the number line? A B C D A B C D 0 2 Be careful of the scale of the number line! Slide 55 / Where would the following number be correctly placed on the number line? Slide 56 / Where would the following number be correctly placed on the number line? A B C D 0 2 A B C D 0 2 3

27 Slide 57 / 62 Steps to Create Your Own Number Line. Convert numbers all to the same form. 2. Order the numbers to determine the range of numbers you need to include. 3. Draw a number line and divide it into equal size pieces. 4. Put a dot and label each number. Slide 58 / 62 Example: Plot and label the numbers in the box on a number line.. Convert numbers all to the same form. In this case, all to decimal will be the easiest..5, 0.75, 0.2,.2, Order the numbers to determine the range of numbers you need to include. 0.2, 0.45, 0.75,.2,.5 We need a number line from 0 to 2 Slide 59 / Draw a number line and divide it into equal size pieces. Label 0, and 2 Divide in between the whole numbers into tenths. Slide 60 / 62 Example: Plot and label the numbers in the box on a number line Put a dot and label each number Convert numbers all to the same form. In this case, all to decimal will be the easiest..2, 0.6, 0.4,.8, 2. Order the numbers to determine the range of numbers you need to include. 0.4, 0.6,,.2,.8 We need a number line from 0 to 2 Slide 6 / Draw a number line and divide it into equal size pieces. Label 0, and 2 Divide in between the whole numbers into two-tenths. Slide 62 / 62 Plot and label the following sets of numbers on a number line. Make a separate number line for each set. Set Set 2 Set Put a dot and label each number

# # Fourth Grade. Understanding Fractions. Slide 1 / 162 Slide 2 / 162. Slide 4 / 162. Slide 3 / 162. Slide 5 / 162. Slide 6 / 162

# # Fourth Grade. Understanding Fractions. Slide 1 / 162 Slide 2 / 162. Slide 4 / 162. Slide 3 / 162. Slide 5 / 162. Slide 6 / 162 Slide / 62 Slide 2 / 62 Fourth Grade Fraction Decimal oncepts 205--23 www.njctl.org Slide 3 / 62 Slide 4 / 62 Table of ontents lick on the topic to go to that section - Understanding Fractions - Mixed