# # 2 1 -1 -2 10 9 8 7 6 5 4 3 0 -3 -4 -5 -6 -7 -8 - PDF document

Slide 1 / 162 Slide 2 / 162 Fourth Grade Fraction Decimal Concepts 2015-11-23 www.njctl.org Slide 3 / 162 Slide 4 / 162 Table of Contents Click on the topic to go to that section - Understanding Fractions - Mixed Numbers Understanding Fractions - Compare and Order Fractions - Equivalent Fractions - Convert Decimals to Fractions - Convert Fractions to Decimals - Number Line Location click to return to table of contents Slide 5 / 162 Slide 6 / 162 While napping, Mr. Number Line is dreaming of pepperoni pizza! Mr. Number Line is taking a short nap. He's a little tired from a What type of numbers would you long day of problem solving! use to help Mr. Number Line count the 2 3 total number of pizzas in his dream? 1 What type of numbers is he using to count sheep? Fractions and/or Mixed Numbers Click for Answer 5 4 Talk to an elbow partner and share Positive WHOLE Numbers Click for Answer how you would count the pizzas. How are fractions different from whole numbers? # # 2 1 -1 -2 10 9 8 7 6 5 4 3 0 -3 -4 -5 -6 -7 -8 -9 -10 # # 9 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 -9 10 0 -10

Slide 7 / 162 Slide 8 / 162 Fractions represent what is BETWEEN whole numbers. A fraction is Let's look at the 8 proper fractions we discussed on the previous a PART of a WHOLE. slide. The first fractions we will learn about are PROPER FRACTIONS. Examples of proper fractions are shown below in word form: 3 2 1 5 1 4 1 3 three one four five 8 3 6 10 4 5 2 4 eighths quarter fifths tenths Talk to an elbow partner and share what you know about these proper fractions. Write down any important ideas you discuss with three one two one your partner so that you can share these ideas with the whole class. fourths half thirds sixths We will organize our ideas on the next slide. 3 2 1 4 1 3 Slide to the right to reveal 1 5 Proper Fractions in Standard Form: fractions in standard form. 8 3 4 5 2 6 10 4 Slide 9 / 162 Slide 10 / 162 Let's review what we know so far about fractions. 3 4 2 1 5 1 1 3 1. All Proper Fractions can be found between 0 and 1 on a number line. 8 3 6 10 4 5 2 4 Proper Fractions { 1 2 0 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 1c 12 11 1 3/4c 2 10 1/2c 9 3 1/4c 4 8 7 5 6

Slide 13 / 162 Slide 14 / 162 Let's review some important vocabulary to help us better Every fraction is division and every division problem can be shown as understand fractions. Noomy the Numerator and Deeno the a fraction. Even the division sign looks like a fraction. Denominator are here to help us. Click on the top part of Noomy the numerator represents the the division sign. top part of a fraction. NUMERATOR He shows the PART of the fraction that we are looking at. PART and Purple both start with P. Deeno the denominator represents Click on the bottom part of the the bottom of a fraction. division sign. He shows the WHOLE (or ONE) DENOMINATOR that we are looking at. ONE and Orange both start with O. Slide 15 / 162 Slide 16 / 162 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 17 / 162 Slide 18 / 162 1 Which number is the numerator in the fraction? Naming Fractions 2 top number = numerator bottom number = denominator 3

Slide 19 / 162 Slide 20 / 162 2 Which number is the denominator in the fraction? 3 Which fraction has a 5 in the denominator? A B C Slide 21 / 162 Slide 22 / 162 5 What fraction of this set is blue? 4 Which fraction has a 3 in the numerator? A B C Slide 23 / 162 Slide 24 / 162 6 What fraction of this set is purple? 7 What fraction of this set is red?

Slide 25 / 162 Slide 26 / 162 Take out the following number of pattern blocks trapezoid 9 Mixed Numbers hexagon rhombus 1 8 triangle 11 click to return to table of contents Slide 27 / 162 Slide 28 / 162 If a hexagon is worth 1, what are 3 trapezoids worth? If a hexagon is worth 1, what are 4 rhombi worth? click for answer click for answer Slide 29 / 162 Slide 30 / 162 8 If a hexagon is worth 1, what are 5 triangles worth? 9 If a hexagon is worth 1, what are 5 trapezoids worth? click for answer

Slide 31 / 162 Slide 32 / 162 10 If a hexagon is worth 1, what are 8 rhombi worth? 11 If a hexagon is worth 1, what are 11 triangles worth? Slide 33 / 162 Slide 34 / 162 12 If a hexagon is worth 1, what are 9 trapezoids worth? 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 / 162 Slide 36 / 162 13 If the triangle is , what shape is ONE? 14 If the triangle is , what is a trapezoid worth? hexagon rhombus C trapezoid A B

Slide 37 / 162 Slide 38 / 162 15 If the triangle is , what is the hexagon worth? 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 / 162 Slide 40 / 162 To convert an improper fraction to a mixed number. A mixed number is a number that has a whole part and a fractional part. First divide 31 by 6 For example: 6 is the whole part 5 Quotient is the fractional part 6 31 Divisor Then write in the form: -30 remainder 1 Remainder quotient divisor click for mixed number Slide 41 / 162 Slide 42 / 162 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: remainder 7 Quotient quotient divisor 4 30 Divisor -28 2 Remainder

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Slide 49 / 162 Slide 50 / 162 The first step when comparing fractions is to look at the numerators and denominators. numerators denominators Compare and Order Fractions click to return to table of contents Slide 51 / 162 Slide 52 / 162 When the denominators are the same: - the unit fractions are the same size Reorder the following fractions from least to greatest. - only need to compare the number of pieces # # # (numerators) need to be compared Slide 53 / 162 Slide 54 / 162 22 Which of the following is ordered 23 Which of the following is ordered least to greatest? greatest to least? A A C C B B

Slide 55 / 162 Slide 56 / 162 When the numerators are the same: - there are the same number of pieces Reorder the following fractions from least to greatest. - compare the size of the denominator The larger the The smaller the denominator, the denominator, the smaller the size larger the size of of each piece. each piece. Slide 57 / 162 Slide 58 / 162 24 Which of the following is ordered 25 Which of the following is ordered least to greatest? greatest to least? A C A C B B Slide 59 / 162 Slide 60 / 162 If numerators and denominators are not the same, 26 Which fraction is closest to zero? we need to use other methods to compare fractions. A C Use benchmarks to see if the fraction is close to 0, 1/2, or 1 and then order them. D B 1 0 1 2

Slide 61 / 162 Slide 62 / 162 27 Which fraction is closest to one? 28 Which fraction is closest to a half? A C A C D D B B Slide 63 / 162 Slide 64 / 162 29 Which fraction is closest to one? 30 Which fraction is closest to a half? A A C C D D B B Slide 65 / 162 Slide 66 / 162 31 Which fraction is closest to zero? Use benchmarks of 0, 1/2 and 1 to order the fractions least to greatest. A C D B

Slide 67 / 162 Slide 68 / 162 32 Which of the following is ordered Use benchmarks of 0, 1/2 and 1 to order the fractions least to greatest? least to greatest. A C B Slide 69 / 162 Slide 70 / 162 33 Which of the following is ordered least to greatest? A C B 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 71 / 162 Slide 72 / 162 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 / 162 Slide 74 / 162 34 Find an equivalent fraction for Fraction Stick Chart Slide 75 / 162 Slide 76 / 162 35 Find an equivalent fraction for 36 Find an equivalent fraction for Slide 77 / 162 Slide 78 / 162 37 Find an equivalent fraction for A fraction stick is a model for the whole, or ONE. Use it to compare fractions . Which number is larger? or

Slide 79 / 162 Slide 80 / 162 38 Which number is larger? 39 Which number is larger? B B A A Slide 81 / 162 Slide 82 / 162 40 Which number is larger? Splitting Fractions Sticks to Make Equivalent Fractions A B What fraction of the whole is shaded? Slide 83 / 162 Slide 84 / 162 41 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?