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<br /> <br /> <br /> Catherine D. LeTourneau<br /> Alfred S. Posamentier<br /> Copyright © by William H. Sadlier, Inc. All rights reserved.<br /> with<br /> Elinor R. Ford<br /> Madelaine Gallin<br /> Former Math Coordinator<br /> Community School District #6<br /> New York, NY<br /> Tim Mason<br /> Title 1 Specialist<br /> Palm Beach County School District<br /> West Palm Beach, FL<br /> Frank Lucido<br /> Associate Professor in<br /> Bilingual/Multicultural Education<br /> Texas A&M University<br /> Corpus Christi, TX<br /> Lucy Lugones<br /> Math Coordinator<br /> St. Luke's School<br /> Whitestone, NY<br /> Regina Panasuk Rosalie Pedalino Porter<br /> Professor of Mathematics Education Consultant Bilingual/ESL Programs<br /> University of Massachusetts Amherst, MA<br /> <a title="Progress in Mathematics, Grade 6, Student Edition page 1" href="https://secure.viewer.zmags.com/publication/d804a52f?page=1"> </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 2" href="https://secure.viewer.zmags.com/publication/d804a52f?page=2"> </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 3" href="https://secure.viewer.zmags.com/publication/d804a52f?page=3"> Catherine D. LeTourneau Alfred S. Posamentie</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 4" href="https://secure.viewer.zmags.com/publication/d804a52f?page=4"> The publisher gratefully acknowledges Rose Anita </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 5" href="https://secure.viewer.zmags.com/publication/d804a52f?page=5"> Progress in Mathematics, now in its sixth decade </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 6" href="https://secure.viewer.zmags.com/publication/d804a52f?page=6"> Letter to the Family . . . . . . . . . . . . . . </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 7" href="https://secure.viewer.zmags.com/publication/d804a52f?page=7"> Chapter Number Sense, Addition, and Subtraction </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 8" href="https://secure.viewer.zmags.com/publication/d804a52f?page=8"> Chapter Division: Whole Numbers and Decimals Cha</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 9" href="https://secure.viewer.zmags.com/publication/d804a52f?page=9"> Chapter Integers Copyright © by William H. Sadl</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 10" href="https://secure.viewer.zmags.com/publication/d804a52f?page=10"> Chapter Fractions: Addition and Subtraction Chap</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 11" href="https://secure.viewer.zmags.com/publication/d804a52f?page=11"> Chapter Data and Statistics Copyright © by Will</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 12" href="https://secure.viewer.zmags.com/publication/d804a52f?page=12"> Chapter Ratio, Proportion, and Percent Chapter O</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 13" href="https://secure.viewer.zmags.com/publication/d804a52f?page=13"> Chapter Measurement Copyright © by William H. S</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 14" href="https://secure.viewer.zmags.com/publication/d804a52f?page=14"> A Review of Mathematical Skills from Grade 5 P</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 15" href="https://secure.viewer.zmags.com/publication/d804a52f?page=15"> Whole Numbers: Place Value, Compare, and Order T</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 16" href="https://secure.viewer.zmags.com/publication/d804a52f?page=16"> Round Whole Numbers The population of Midway is </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 17" href="https://secure.viewer.zmags.com/publication/d804a52f?page=17"> Factors, Multiples, and Divisibility Factors are</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 18" href="https://secure.viewer.zmags.com/publication/d804a52f?page=18"> Decimals to Hundredths The value of a digit in a</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 19" href="https://secure.viewer.zmags.com/publication/d804a52f?page=19"> Add Whole Numbers and Decimals Add: 8164 467</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 20" href="https://secure.viewer.zmags.com/publication/d804a52f?page=20"> Subtract Whole Numbers and Decimals Subtract: 48</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 21" href="https://secure.viewer.zmags.com/publication/d804a52f?page=21"> Inverse Operations: Addition and Subtraction Inv</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 22" href="https://secure.viewer.zmags.com/publication/d804a52f?page=22"> Properties of Addition and Multiplication The fo</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 23" href="https://secure.viewer.zmags.com/publication/d804a52f?page=23"> Multiply 1- and 2-Digit Numbers Multiply: 7 2</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 24" href="https://secure.viewer.zmags.com/publication/d804a52f?page=24"> Trial Quotients Divide: 2183 46 ? . </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 25" href="https://secure.viewer.zmags.com/publication/d804a52f?page=25"> Divide Whole Numbers Divide: 4782 83 ?</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 26" href="https://secure.viewer.zmags.com/publication/d804a52f?page=26"> Add and Subtract Fractions: Like Denominators To</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 27" href="https://secure.viewer.zmags.com/publication/d804a52f?page=27"> Make Pictographs You can make a pictograph to di</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 28" href="https://secure.viewer.zmags.com/publication/d804a52f?page=28"> Make Bar Graphs Henry displayed the data at the </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 29" href="https://secure.viewer.zmags.com/publication/d804a52f?page=29"> Equally/Not Equally Likely Outcomes For each of </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 30" href="https://secure.viewer.zmags.com/publication/d804a52f?page=30"> List Outcomes You can make an organized list to </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 31" href="https://secure.viewer.zmags.com/publication/d804a52f?page=31"> Geometric Figures Some simple geometric figures:</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 32" href="https://secure.viewer.zmags.com/publication/d804a52f?page=32"> Lines: Intersecting and Parallel Lines in the sa</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 33" href="https://secure.viewer.zmags.com/publication/d804a52f?page=33"> Polygons A polygon is a closed plane figure form</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 34" href="https://secure.viewer.zmags.com/publication/d804a52f?page=34"> Metric Units of Length The most commonly used un</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 35" href="https://secure.viewer.zmags.com/publication/d804a52f?page=35"> Metric Units of Capacity and Mass The metric uni</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 36" href="https://secure.viewer.zmags.com/publication/d804a52f?page=36"> Customary Units of Length The customary units of</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 37" href="https://secure.viewer.zmags.com/publication/d804a52f?page=37"> Customary Units of Capacity and Weight The custo</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 38" href="https://secure.viewer.zmags.com/publication/d804a52f?page=38"> Read an Inch Ruler The tick marks on the scale o</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 39" href="https://secure.viewer.zmags.com/publication/d804a52f?page=39"> Perimeter and Area of Rectangles Formulas can be</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 40" href="https://secure.viewer.zmags.com/publication/d804a52f?page=40"> Dear Student, Problem solvers are super sleuths. </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 41" href="https://secure.viewer.zmags.com/publication/d804a52f?page=41"> Copyright © by William H. Sadlier, Inc. All right</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 42" href="https://secure.viewer.zmags.com/publication/d804a52f?page=42"> Strategy: Guess and Test Last summer Jane earned</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 43" href="https://secure.viewer.zmags.com/publication/d804a52f?page=43"> Strategy: Use More Than One Step In a typical we</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 44" href="https://secure.viewer.zmags.com/publication/d804a52f?page=44"> Strategy: Use a Graph The science class plants 4</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 45" href="https://secure.viewer.zmags.com/publication/d804a52f?page=45"> Strategy: Write an Equation Stephanie and Alexan</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 46" href="https://secure.viewer.zmags.com/publication/d804a52f?page=46"> Applications: Mixed Review Choose a strategy fr</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 47" href="https://secure.viewer.zmags.com/publication/d804a52f?page=47"> We've got a tree in our yard. It grows about six </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 48" href="https://secure.viewer.zmags.com/publication/d804a52f?page=48"> 11-1 Ratio A ratio is a way of comparing two</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 49" href="https://secure.viewer.zmags.com/publication/d804a52f?page=49"> Write each ratio in simplest form. 5. 4 to 12 </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 50" href="https://secure.viewer.zmags.com/publication/d804a52f?page=50"> Ratio Name Date </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 51" href="https://secure.viewer.zmags.com/publication/d804a52f?page=51"> PAGE INTENTIONALLY LEFT BLANK</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 52" href="https://secure.viewer.zmags.com/publication/d804a52f?page=52"> 11-2 Equivalent Ratios Equivalent ratios hav</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 53" href="https://secure.viewer.zmags.com/publication/d804a52f?page=53"> Write three equivalent ratios for each. 5 </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 54" href="https://secure.viewer.zmags.com/publication/d804a52f?page=54"> Equivalent Ratios Name Date Equival</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 55" href="https://secure.viewer.zmags.com/publication/d804a52f?page=55"> Ratios and Unit Rates Name The office</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 56" href="https://secure.viewer.zmags.com/publication/d804a52f?page=56"> 11-3 Rates A rate is a ratio that compares t</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 57" href="https://secure.viewer.zmags.com/publication/d804a52f?page=57"> Write each as a unit rate. 12 books </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 58" href="https://secure.viewer.zmags.com/publication/d804a52f?page=58"> </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 59" href="https://secure.viewer.zmags.com/publication/d804a52f?page=59"> </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 60" href="https://secure.viewer.zmags.com/publication/d804a52f?page=60"> 11-4 Proportions A proportion is an equation</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 61" href="https://secure.viewer.zmags.com/publication/d804a52f?page=61"> Use equivalent fractions or the cross-products ru</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 62" href="https://secure.viewer.zmags.com/publication/d804a52f?page=62"> 11-5 Solve Proportions You can use the cross</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 63" href="https://secure.viewer.zmags.com/publication/d804a52f?page=63"> Find the missing term in each proportion. n </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 64" href="https://secure.viewer.zmags.com/publication/d804a52f?page=64"> 11-6 Write Proportions At the given rate, ho</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 65" href="https://secure.viewer.zmags.com/publication/d804a52f?page=65"> Distance, S</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 66" href="https://secure.viewer.zmags.com/publication/d804a52f?page=66"> 11-7 Proportions and Similar Figures The len</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 67" href="https://secure.viewer.zmags.com/publication/d804a52f?page=67"> The figures in each pair are similar. Write and s</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 68" href="https://secure.viewer.zmags.com/publication/d804a52f?page=68"> 11-8 Use Proportions light Proportions in s</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 69" href="https://secure.viewer.zmags.com/publication/d804a52f?page=69"> Write a proportion. Then solve. 1. An 8-foot el</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 70" href="https://secure.viewer.zmags.com/publication/d804a52f?page=70"> 11-9 Scale Drawings and Maps A scale drawing</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 71" href="https://secure.viewer.zmags.com/publication/d804a52f?page=71"> Measure the scale distance on the map to the near</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 72" href="https://secure.viewer.zmags.com/publication/d804a52f?page=72"> 11-10 Relate Percents to Fractions A percent </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 73" href="https://secure.viewer.zmags.com/publication/d804a52f?page=73"> Write a ratio to show the part of the grid that i</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 74" href="https://secure.viewer.zmags.com/publication/d804a52f?page=74"> 11-11 Relate Percents to Decimals Approximat</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 75" href="https://secure.viewer.zmags.com/publication/d804a52f?page=75"> Find the percent, decimal, and fraction equivalen</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 76" href="https://secure.viewer.zmags.com/publication/d804a52f?page=76"> 11-12 Decimals, Fractions, and Percents Some</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 77" href="https://secure.viewer.zmags.com/publication/d804a52f?page=77"> Write as a decimal. 1. 48.5% 2. 53.2% </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 78" href="https://secure.viewer.zmags.com/publication/d804a52f?page=78"> 11-13 Percents Greater Than 100% A bicycle i</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 79" href="https://secure.viewer.zmags.com/publication/d804a52f?page=79"> Write each as a mixed number in simplest form. 16</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 80" href="https://secure.viewer.zmags.com/publication/d804a52f?page=80"> Percents Greater Than 100% Rename 125% and 310% </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 81" href="https://secure.viewer.zmags.com/publication/d804a52f?page=81"> PAGE INTENTIONALLY LEFT BLANK</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 82" href="https://secure.viewer.zmags.com/publication/d804a52f?page=82"> 11-14 Percents Less Than 1% Sometimes a perc</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 83" href="https://secure.viewer.zmags.com/publication/d804a52f?page=83"> Express each as an equivalent decimal. 13. 0.7% </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 84" href="https://secure.viewer.zmags.com/publication/d804a52f?page=84"> 11-15 Problem-Solving Strategy: </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 85" href="https://secure.viewer.zmags.com/publication/d804a52f?page=85"> Solve. Combine strategies to help you. 01. A busi</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 86" href="https://secure.viewer.zmags.com/publication/d804a52f?page=86"> 11-16 Problem-Solving Applications: Mixed Rev</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 87" href="https://secure.viewer.zmags.com/publication/d804a52f?page=87"> Solve. Combine strategies to help you. 11. Ann a</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 88" href="https://secure.viewer.zmags.com/publication/d804a52f?page=88"> Lessons 1–16 Write each ratio in simplest form. </a> <a title="Progress in Mathematics, Grade 6, Student Edition page 89" href="https://secure.viewer.zmags.com/publication/d804a52f?page=89"> leg 4 Pythagorean Theorem In ab</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 90" href="https://secure.viewer.zmags.com/publication/d804a52f?page=90"> Write each ratio or rate in simplest form. 1. 4</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 91" href="https://secure.viewer.zmags.com/publication/d804a52f?page=91"> Test Preparation Choose the best answer. 1. Choos</a> <a title="Progress in Mathematics, Grade 6, Student Edition page 92" href="https://secure.viewer.zmags.com/publication/d804a52f?page=92"> 15. Compute. </a>