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Unit 5: Fractions, Decimals and Percents
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Numerator Denominator The number of parts you are using The number of equal parts into which the whole is divided 1212 = = = = 1/2 Fraction Review (5-1)
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5555 99 Parts to Whole Fraction Practice Draw a picture to show how you solved each of the problems. What is 4 of 35? 7 What is 2 of 81? 9 What is 3 of 48? 4 What is 5 of 60? 6
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A set has 16 counters. What fraction of the set is black?.. If 20 counters are the whole set, What fraction of the set is black?.. If 24 counters are the whole set how Many counters are 1 of a set? 4... If 25 counters are a whole, how Many counters make 4? 5.....
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If 6 counters are a whole set, how many counters are in on and one-half sets?... If 9 counters are 3 of a set, how 4 many counters are in the whole set?.. If 4 counters are 1 of a set, how 3 Many counters are in one and two-thirds sets?.... If 20 counters are 5 of a set, how 6 many counters are in the whole set?...
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If 24 counters are 3 of a set, how many counters are in the whole set? 8 If 36 counters are 3 of a set, how many counters are in the whole set? 5 If 42 counters are 2 of a set, how many counters are in the whole set? 3
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Classwork Complete journal page 121-122 If time: Math Box 5-1 (page 123)
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Fractions Greater then One (5-2) Improper Fractions – Fractions that are equal to or greater than 1 Mixed Numbers - A number that is written using both a whole number and a fraction.
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Hexagon = whole Trapezoid = Rhombus = Equilateral Triangle =
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Practice Problems: Mixed NumberImproper Fraction
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Mixed NumberImproper Fraction
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Classwork Complete journal page 124-126 If time: Math Box 5-2 (page 128)
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Mixed Number to Improper Fraction (5-2 follow up) The short cut - multiply the denominator and whole number, then add the numerator 3 1212 4 3434 1 1313 7 3838 10 4545 8 3737
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Comparing and Ordering Fractions (5-3) Show example of how to complete: Journal page130 fraction stick chart Journal page 131 - 132 adding with stick chart Classwork Finish journal page 130-122 If time: Math Box 5-3 (page 133)
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Equivalent Fractions (5-4) Fractions that name the same part of a whole but have different denominators. Two ways to find equivalent fractions: Multiplication Division 2323 4545 1717 12 36 18 20 8 24
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4 11 16 = 5 8 20 = 9 3 10 = __ 18 4 9 = 2 10 15 = 11 12 __ 60 = 27 33 9 = __ 10 36 40 = 6 36 24 =
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Are they equivalent (equal): 2 8 10 40 1 9 6 45 1 4 2 8 3 6 16 24
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Match the fraction on the left with an equivalent fraction on the right. 12 16 3 5 2 3 24 36 2 3 4 18 27 9 15
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Classwork Complete journal page 134-125 If time: Math Box 5-4 (page 136)
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Part 1 - Fractions to Decimals (5-5) Change the denominator to 10ths or 100ths and the fraction says it's decimal name. 9 10 = 63 100 = 11 50 = 4 5 = 9 25 = 7 20 = 3 4 = 1 2 =
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Write each number below as a decimal. Then locate the decimal on the number line. 27 100 11 20 33 50 1 4 3 5 12 25 == = == = 0.10.20.30.40.50.60.70.80.91.01.11.2
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Classwork Complete journal page 138 If time: Math Box 5-5 (page 141)
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When the denominator can’t be changed to 10ths or 100ths you must use long division to convert the fraction to a decimal. Part 2 - Fractions to Decimals: long division (5-6) It will help if you can memorize these fraction to decimal conversions 1212 = 1313 = 1515 = 1818 = 1616 = 1 10 = 1414 =
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Practice: Write each fraction as a decimal 4 10 9 12 2323 4545 5656 5858
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24 48 15 18 20 25 21 33 14 21 24 27 21 24 36 40 20 36 4 16 2828 28 48 To simplify a fraction divide both the numerator and denominator until you can't go any further. If you find the greatest common factor (GCF) you can solve it in one step. Simplify Fractions
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Write the fraction as a decimal. 15 38 8 6 2010 Simplify the following fractions. 318 24 15 32 36
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Part 3 -Fractions to Decimals: using a calculator (5-7) Objectives: Review division keys on calculator (÷ and int÷) How to write a repeating decimal(p.145)
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Arrange the decimals in order from least to greatest Arrange the decimals in order from greatest to least 0.0390.040.10.130.20.60.68 0.020.030.120.220.20.10.002
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Write a decimal between each pair of numbers 0.05 and 0.04 0.2 and 0.3 3 and 4 0.4 and 0.6
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Classwork Complete journal page 145 If time: Math Box 5-7 (page 146)
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Fractions to Percents (5-8) Percent means out of 100 To change a fraction to an equivalent percent first rename the fraction as a decimal and then multiplying the result by 100. 4 10 Fraction Decimal Percent 13 20 4 7
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Example 1: Rebecca scored 80% on a test. If the test had 100 questions, Rebecca answered how many questions correctly? ________________ If the test had 50 questions, Rebecca answered how many questions correctly? ________________ If the test had 10 questions, Rebecca answered how many questions correctly? ________________ If the test had 200 questions, Rebecca answered how many questions correctly? ________________
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Example 2: Emily spent 18% of the money she earned babysitting last summer on school clothes. How much did Emily spend if she earned $100? ______________ How much did Emily spend if she earned $200? ______________ How much did Emily spend if she earned $400? ______________ How much did Emily spend if she earned $50? ______________
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Example 3: Tom got 70% of the questions correct on a music test. If he got 7 questions correct, how many questions were on the test? ______________ If he got 14 questions correct, how many questions were on the test? ______________ If he got 35 questions correct, how many questions were on the test? ______________ If there were only 50 questions on the test, how many questions did he get correct? _______
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Classwork Complete journal page 147 Add problem #5: place five fractions in order from greatest to least Journal page 148 If time: Math Box 5-8 (page 149)
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Review the properties of bar graphs and circle graphs (5-9) Classwork Complete journal page 151 If time: Math Box 5-9 (page 152)
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Reading circle graphs (5-10) Classwork Complete journal page 153-154 If time: Math Box 5-10 (page 156)
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Making circle graphs (5-11) Classwork Complete journal page 157-158 If time: Math Box 5-11 (page 159)
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