TABLE OF CONTENTS. NCTM Standards. Number and Operations Algebra Geometry Measurement 25, 38, 41, 101, 119, 219, 227, 230, 244, 252, 269, 273
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1 NCTM Stards Action Skills Addition TABLE OF CONTENTS About the Authors...ii NCTM Stards... iii How to Use This Book... vii Teaching Suggestions... vii Definitions Answers... 9 Number Operations Algebra Geometry Measurement 7, 5, 7, 9, 7,, 67, 79, 85, 9, 95, 4,, 5, 5, 44,, 5, 6, 67,77, 8, 89, 97, 4, 5, 54, 74, 5, 6, 9,,,, 5, 6, 46, 47, 65, 66, 7, 77, 78, 84, 9, 96, 0, 4, 9,, 7, 44, 49, 50, 5, 5, 57, 58, 59, 6, 6, 64, 66, 68, 80, 86, 87, 90, 9, 9, 96, 05, 06, 09,, 6, 9,,, 4, 5, 48, 58, 6, 74, 77, 8, , 59, 60, 64, 68, 69, 89, 6, 7, 8,, 8,,,, 4, 7, 7, 95, 00, 0, 0, 0, 04, 40, 6, 66, 67, 70 5, 8, 4, 76,, 5, 9, 9, 44, 69 50, 5, 5, 54, 55, 57,, 0, 5, 6, 69, 57, 6, 65 65, 49, 70,,, 6 Age, Analyze Data 5,, 4, 46, 56, 80,,, 48, 58,59, 79, 80, 86, 9, 05,, 6, 7, 6, 8, 9,, 4, 5, 6, 8, 48, 49, 55, 58, 60, 6, 74, 77, 8, 84 5, 8, 4,, 9, 9, 7, 0, 44, 5, 69, 7 40, 87, 0,,,, 4, 4, 4, 60, 7, 5, 0, 64, 67 55, 70, 85, 98, 4, 46, 47, 57, 75, 80 Data Analysis Probability 4, 48, 74, 75, 80, 4, 55, 94, 79 56, 75, 4, 55, 79, 08,, 7, 4, 5, 76 48, 75, 4, 4, 55, 7, 78, 94, 08,, 8, 7, 4,, 5, 56, 7, 76, 79 7, , 4, 4, Bar Graph 55, 94, 7 Calendar 4, 47 46, 5 6,, 8, 07, 6, 49, 6, 68, Capacity 75, 80 Circle Graph 4 0,, 44,, 57, 64, 49 4,, 46, 47, 56 Coins 84, 85,, Congruence, 6, 7,,, 4, 9, 9, 56, 4, 7, 7 Coordinates 0, 64 Count Denominator Division Estimate Exped Notation (place value),, 5,, 8, 0,, 6, 7, 7, 8, 9, 97, 99, 0, 4, 9, 5,,, 5, 8, 4, 44,, 56, 57, 64, 68, 86, 07,, 4, 5, 8, 49, 6 NCTM Stards 5, 9, 4, 5, 69 7,, 6, 7, 9, 58, 68, 69, 87, 88, 6, 7, 8,, 8, 7, 95, 70 7, 4, 8, 87, 88, 89,, 65, 7, 5,, 4 80, 5,,, 46, 47, 54, 69, 84, 85, 98, 98,,, 9, 6, 75, 80 4, 56, 75, 80, 4, 4, 55, 7, 78, 94,, 5, 56,,, 6, 7,,, 4, 6, 9, 8, 9, 56, 07, 58, 95 48, 7 0, 5, 5, 9, 56, 86,, 6, 9 95, 40 69, , 55, 59, 60, 77, 8, 8 6,, 7, 8, 07, 6, 6 49, 5, 55, 57, 69, 56, 80 65, 68 8, 0, 5, 4, 44, 65, 66, 77, 78, 8, 84, 9, 94, 99, 9,, 50, 5, 5, 6, 6, 66, 74, 75, 76, 8, 8, 88, 96, 4, 50, 8, The Critical Thinking Co iii
2 NCTM Stards NCTM Stards (Cont.) Skills Fraction Hundreds Inequalities Language Number Operations Algebra Geometry Measurement 4,,,, 6, 7,,, 4, 6, 9, 8, 9, 56, 07,,, 6, 54, 60 8, 9, 0, 9, 5, 7, 98, 99, 9, 8, 84 9,, 0, 7, 96, 97, 98, 0,, 59, 64, 9,, 60,, 5, 8,,, 9, 0,,, 7, 8, 9, 0,, 5, 6, 9, 4, 44, 46, 47, 5, 65, 66, 7, 7, 7, 77, 78, 84, 9, 9, 9, 94, 96, 97, 98, 0, 4,, 5,, 5, 7, 9, 4, 44,, 48, 49, 50, 5, 5, 56, 58, 59, 6, 6, 66, 68, 74, 75, 76, 80, 8, 8, 86, 87, 88, 90, 9, 9, 9, 96, 99, 05, 06, 09,,, 6, 7,, 6,, 4, 5, 6, 8, 4, 48, 50, 58, 60, 6 Data Analysis Probability 6, 7, 58, , 7, 8, 4, 5 5, 46, 47, 69, 84, 85, 75, 80 5, 8, 4,, 5, 9, 9, 4, 0, 44, 5, 7 7,,, 4, 40, 4, 58, 59, 60, 6, 6, 64, 68, 69, 8, 86, 87, 88, 89, 6, 7, 8,, 8, 6, 7, 0,,,, 4, 40, 4, 4, 60, 65, 7, 7, 95, 5 6,, 49, 5, 5, 54, 55, 57, 70, 90,,,, 6, 7, 0,, 8, 9, 6, 54, 69, 70, 84, 85, 98, 4,,,, 9, 47, 57, 6, 65, , 48, 56, 74, 75, 80, 4, 4, 55, 7, 78, 79, 94, 08,, 8,, 5, 7, , 69 50, 5, 5, 54, 55, Length 57, 70,, 5, 6, 69, 70 44, 5 84, 85 4, 48, 75, 80, Likelihood 7, 78, 8, Line Graph 8 Manipulative Match Money More Than Addends Multiplication, 4, 5,, 9, 0, 9, 5, 8, 98, 99, 9 9,, 7, 4, 9, 5,, 5, 48, 49, 56, 57, 64,77, 90, 9, 6, 49 0,, 44,, 57, 59, 64, 49, 96, 99, 9, 64, 90, 9, 96, 06,,, 48, 74, 8, 84, 7, 7, 0, 4, 86, 90, 9, 9, 9, 99,, 6, 7,,, 4, 48, 54, 55, 59, 6, 74, 77, 8, 8 5, 6, 49, 50, 5, 54, 57, 70,,,, 54, 69, 98, 9 5, 8, 7, 0, 44 7, 7, 40, 6, 6, 6, 7, 8, 0,,,, 4, 40, 4, 4, 60, 65, 00, 0, 0, 0, 04,,, 8, 9, 46, 47, 54, 98,,, 9, 46 4, 48, 80, 56 08,, 8 4, 9,, 46, 47, 84, 85,, 4, ,, 5, 4 Number Line 7, 97, 0, Odd/Even, 7, 5 Ones Order Order of Operation, 8, 9, 0, 5, 9, 5, 65, 66, 7, 77, 78, 8, 84, 9, 94, 98, 99, 9,, 50, 5, 5, 6, 6, 66, 74, 75, 76, 8, 8, 88, 96, 06,, 4, 50, 8, 84,, 9,, 8, 7, 7, 97, 0,, 4, 9,, 4, 48, 68, NCTM Stards, 5, 7, 69, 7 4, 79, 76 5, 0 5 iv 007 The Critical Thinking Co
3 NCTM Stards NCTM Stards (Cont.) Pattern Skills Place Value (exped notation) Polygon Probability Real World Problem Regrouping (borrowing carrying) Rounding Ruler Shapes Number Operations Algebra Geometry Measurement,, 4, 8, 7, 8, 9, 4, 44, 47, 65, 66, 7, 7, 77, 78, 84, 9, 9, 9, 94, 97, 99, 0, 4, 9,,, 9, 44,, 50, 5, 5, 6, 6, 66, 74, 75, 76, 8, 8, 88, 90, 9, 9, 96, 99, 09,,, 7,,, 4, 8, 4, 48, 50, 54, 55, 58, 74, 77, 8, 8 8, 0, 5, 4, 44, 65, 66, 77, 78, 8, 84, 9, 94, 99, 9,, 50, 5, 5, 6, 6, 66, 74, 75, 76, 8, 8, 88, 96, 4, 50, 8, 84 5, 8, 76,, 5, 7, 0, 44, 69, 7 7,,, 4, 40, 4, 59, 6, 6, 68, 69, 8, 86, 87, 88, 89, 6, 7, 8,, 8, 6, 7, 0,,,, 4, 40, 4, 4, 60, 65, 7, 0, 0, 0, 04, 40, 66, 67, 70 49, 55, 57, 6, 7,, 8, 9, 46, 47, 69, 84,, 57 Data Analysis Probability 56, 75, 08,, 5, 56, 76 9, 9, 9, 59 7, 7 7, 40, 4, 58, 6, 6, 64, 68, 69, 8, 86, 87, 88, 89,, 40, 4, 4, 65, 00, 0, 0, 0, 04, 5, 40, 66, , 08, 44, 5 4, 48, 74, 75, 80, 7, 78, 8,,,, 5,,, 8, 0,, 46, 6, 7, 5,,, 5, 8, 9, 44,, 48, 56, 57, 58, 59, 64, 80, 86, 9, 05, 06, 07,, 6, 7,, 6, 8, 9, 4, 5, 6, 8, 49, 60, 6 4, 9, 9 58, 59, 8, 6, 7, 8, 4, 4, 95, 0, 40, 6, 64, 5, 5, 55, 57, 70, 90,,,, 6, 7, 0,, 8, 9, 6, 46, 47, 54, 70, 84, 85, 98, 4,,,, 9, 47, 57, 65, 7, 75, 80 98, 50, 5, 5, 6, 6, 66, 74, 75, 76, 80, 8, 8, 88, 90, 9, 9, 96, 06, 4, 49, 50, 58, 8, ,, , 8,, 6, 7, 9,,, 4, 9, 9,,, 6, 55, 59 Survey 44, 9 Symmetry NCTM Stards 5, 8, 7, 0, 44, 5, 7 4,, 9 7 4, 40, 58, 6, 6, 64, 6, 7, 8,, 8, 6, 7, 60, 7, 40, 66, 67, 70 48, 56, 74, 75, 80, 4, 4, 55, 78, 79, 94, 8, 7, 4, 5, 7, 79 68, 69 50, 5, 5, 54, 55, 57, 70,, 5, 6, 69, 70 7,, 6, 7,,, 4, 5, 6 80, 08, 4, 58, 6, 6, 64, 68, 69, 8, 86, 87, 88, 89, 6, 7, 8,, 8, 6, 7, 0,,,, 4, 40, 4, 4, 60, 65, 7, 7, 95, 00, 0, 0, 0, 04, 5, 40, 66, 67, 70 4, 56, 74, 75, 80, 4, 4, 55, 94, The Critical Thinking Co v
4 NCTM Stards NCTM Stards (Cont.) NCTM Stards Skills Number Operations Algebra Geometry Measurement Data Analysis Probability 0, 44,, 99, 9, , 70 56, 74, 75, 55, 94, 5, 56, Table 76, 8, 9, 0, 5, 9, 5, 65, 66, 56 7, 7, 77, 78, 8, 84, 9, 94, 98, 99, 0, 4, 9,, 7, 4, Tens 50, 5, 5, 6, 6, 66, 74, 75, 76, 8, 8, 88, 96, 06, 4, 50, 8, 84 Thermometer 6, 54, 98, 9 8, 86, 8 6,, 6, 7, 5 0,, 8, 9, Time 4,, 47, 65 0, 5, 8, 0, Variable 44 Weight 6, 90, 46, 57, 7 Whole Numbers,, 5, 6, 9,, 4, 8, 9, 0,, 8, 5, 9, 4, 44, 46, 47, 5, 65, 66, 7, 7, 77, 78, 8, 84, 9, 9, 94, 96, 97, 98, 99, 0, 4, 9,, 7, 50, 5, 5, 58, 6, 6, 66, 68, 74, 75, 76, 80, 8, 8, 86, 87, 88, 90, 9, 9, 96, 99, 05, 06, 09,,, 7,, 4, 5, 4, 48, 50, 8, 84 4, 76,, 5, 9 5 6,, 5, 5, 54, 55, 57, 70, 90,,,, 70 56, 75, 4, 79, 76 vi 007 The Critical Thinking Co
5 Number Operations Smarty Pants Puzzles TM Brad s Lemonade St Lemonade is half a dollar a glass! Made with real lemons!. Brad s lemonade is not fresh. Polly s Lemonade St Fresh Lemonade! Two glasses for less than a dollar! Write whether each sentence is True, Unknown, or False (not true). Then explain your answer. Assume both Brad Polly are telling the truth about their lemonade.. Polly will sell you more than one glass of lemonade for less than a dollar.. Polly s lemonade is cheaper than Brad s (per ounce). 4. Two glasses of Brad s lemonade cost over a dollar. 5. Polly s lemonade costs less than fifty cents a glass. 6. Brad only uses real lemons to make his lemonade. 007 The Critical Thinking Co
6 Number Operations Do the problems in order from left to right. On the next page, connect the answer dots to find the mystery animal The Critical Thinking Co
7 Number Operations Write the missing answers x 5 = + x = x = + + x = x 4 = x = x = = x x = = = = = 007 The Critical Thinking Co
8 Geometry Finish each object to match the description. A circle split into two halves with one half shaded. A square split into thirds with shaded. A rectangle split into fourths with shaded. A triangle split in half with shaded. 4 A shape you make up with shaded. 007 The Critical Thinking Co
9 Measurement Read the sentence below each clock. Next, draw the hour minute hs on the clock face to show the correct time Your favorite TV show will start at 7: You catch the school bus at ten minutes before 8: The baseball game starts at 5 minutes after 5: You sing the National Anthem at the baseball game at 5 minutes before 5: The Critical Thinking Co
10 Mathematical Reasoning Level C Number Operations Toy Store Change Draw a line segment from each sale to the correct change. - = - = - = - = 007 The Critical Thinking Co BBP-MRC 0.indb /4/0 :5:5 PM
TABLE OF CONTENTS. Number and Operations Algebra Geometry Measurement 35, 89, 148, 149, 150, 200, 252, 254, 274, 297
Mathematical Reasoning Level D Table of Contents TABLE OF CONTENTS About the Author...ii About This Book... vii How to Use This Book... vii Teaching Suggestions... vii General Comments... viii Answers...
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