Most Challengi 5 1 s ’ a n a i s i u o L g n ng Skills Masteri a n a i s Loui Mathema tics Crescent City Connection in New Orleans, Louisiana STUDENT NAME Table of Contents Relating Fractions and Decimals (4)..................................... 4 Ordering Numbers (6).............................................................. 8 Adding and Subtracting Fractions (9)................................. 12 Factors (2, 3). .......................................................................... 16 Prime Factorization (1).......................................................... 20 Ratios (13)............................................................................... 24 Proportions (13)...................................................................... 28 Writing Expressions (15). ...................................................... 32 Real-World Equations (15)..................................................... 36 Solving Equations (17)........................................................... 40 Input-Output Tables (37). ...................................................... 44 LA6 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW. Circles (26).............................................................................. 48 Coordinate Geometry (28)..................................................... 52 Mean (32). ............................................................................... 56 Median (32)............................................................................. 60 Acknowledgments ............................................................... 64 4 LA At the beginning of each lesson, you will see a box with the shape of Louisiana and a Grade-Level Expectation code in it. This code tells you what is being covered in the lesson. 3 1BRLA06MM_FM.indd 3 10/30/08 12:24:11 PM 4 LA Relating Fractions and Decimals A fraction is a number used to represent part of a whole or part of a set. In the set below, there are 5 items. 2 are circles and 3 are triangles. Each item is 15 of the set. The circles represent 25 of the set. The triangles represent 35 of the set. In 2007, the Louisiana State University football team won 12 of its 14 games, which can 12 be shown as 14 , or 67 . A decimal is another way to represent part of a whole. To write a fraction as a decimal, divide the numerator by the denominator. On a bookshelf, 34 of the books are mysteries. What decimal is equal to the fraction of the books that are mysteries? Divide the numerator by the denominator. Keep dividing until the remainder is 0 or a repeating pattern is shown. 0.75 4 3.00 2 2 8 20 2 20 0 The decimal that is equal to the fraction of the books that are mysteries is 0.75. BUILD A BRIDGE 1 What decimal is equal to 7 the fraction 10 ? LA6 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW. Example 1 4 6M_Relate Fract and Decim.indd 4 10/30/08 12:26:12 PM Use place value to convert a decimal to a fraction and write it in simplest form. Example 2 Tia ran 0.96 mile. What fraction of a mile did she run? Use place value to convert the decimal to a fraction. BUILD A BRIDGE 2 In a fish tank, 0.2 of the fish are striped. What fraction of the fish are striped? 96 0.96 5 ninety-six hundredths 5 100 Write the fraction in simplest form. 96 96 4 4 100 5 5 24 100 4 4 25 Tia ran 24 mile. 25 When you work with fraction and decimal problems, be sure to read the question carefully to determine which part of the whole to find. Example 3 Michael’s homework is 58 complete. What decimal shows the fraction of Michael’s homework that is not complete? LA6 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW. First, find the fraction of Michael’s homework that BUILD A BRIDGE 3 What decimal shows the fraction of Michael’s homework that is complete? is not complete. 12 58 5 38 Divide the numerator by the denominator. Now, convert 38 to a decimal. 0.375 8 3.000 2 2 4 60 2 56 40 2 40 0 0.375 of Michael’s homework is not complete. 5 6M_Relate Fract and Decim.indd 5 10/30/08 12:26:25 PM Guided Practice 3 1 What is a fraction? In the fraction 10 , what does the 3 represent? 2 How are decimals and fractions related? 3 How do you convert 0.4 to a fraction? 1 4 Explain how to find an equivalent decimal for 20 . 9 5 Amara made 10 of the free throws she attempted. What decimal shows the fraction of the free throws Amara made? 6 A store sells 0.55 of its supplies. What fraction of its supplies did the store sell? For Numbers 7–10, find the equivalent form of each decimal or fraction. 21 7 25 5 9 18 5 8 0.7 5 10 0.16 5 LA6 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW. 6 6M_Relate Fract and Decim.indd 6 10/30/08 12:26:25 PM Practice 2 1 A company ships 10 of its orders overseas. What decimal shows the amount of orders shipped overseas? 2 Maria spends 0.15 of her paycheck on clothes. What fraction is equal to this amount? 24 3 Jackson answered 30 of the questions on his quiz correctly. What decimal shows the number of questions he answered correctly? For Numbers 4–9, find the equivalent form of each decimal or fraction. 1 4 10 5 LA6 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW. 7 0.12 5 5 0.45 5 8 0.6 5 17 6 20 5 9 33 5 50 10 Write the fraction that represents the shaded portion of the rectangle below. Then, find its equivalent decimal form. 11 During a 2008 football game between Louisiana State University and Auburn University, 6 touchdowns were scored in all. LSU scored 3 of those touchdowns, or 36 of the total touchdowns in the game. What is the equivalent decimal? 7 6M_Relate Fract and Decim.indd 7 10/30/08 12:26:38 PM
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