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... 50 NCTM Stards Adding Whole Numbers Analyze Angle Area Bar Graph Calendar Congruence Coordinate System Count Data Collection Decimals Dividing Whole Numbers Equations Skills Number Operations Algebra Geometry Measurement 6, 8, 9,, 7,,, 55, 57, 7, 89, 0,, 5, 6, 8, 9, 59, 95, 99, 09, 0,, 5, 66, 76, 96, 97, 06, 07, 87, 7, 8, 88, 9, 0,, 5, 65, 88, 96 5, 89, 8, 9, 50, 00, 5, 5, 7, 97 6, 7,,, 6, 7, 69, 5, 5, 96, 8, 9 67,9, 90,,, 68, 69, 78,, 5, 76, 78, 79, 80,,, 6, 7, 8, 9, Data Analysis Probability, 7,, 5, 88, 88, 9, 0, 0, 0, 05, 9, 9,, 70, 7, 87, 88, 89, 9, 0, 80 08 0, 5, 88, 0, 05, 89, 6, 6, 6, 65, 66, 67, 60, 5 78, 79, 80,, 9 68, 69,, 8, 0 0 6, 6, 66, 67, 8,, 8, 6,,, 5, 6, 0, 66, 0,,, 5, 0, 8, 9, 7,7, 7, 9, 9, 9, 9, 95,,,, 97, 00, 0, 0, 05, 7, 5, 5, 56, 57, 70, 7, 7,,, 79, 98, 99,,, 7, 9 6, 7, 0, 9, 9, 9, 95, 98, 99, 0, 5, 5, 58, 98, 5, 97,, 8 89, 0, 05, 8, 9, 50 5, 5, 56, 57, 96, 98, 99, 0, 8, 9, 70, 7, 95, 00, 5, 7, 97,, 6 7, 06, 8, 6 67, 9,, 5 9, 0, 5, 88, 87, 89 09, 0,,, 05, 9, 0,, 68, 69, 70 6, 7 7, 65 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89 iii
Mathematical Reasoning Level D Table of Contents TABLE OF CONTENTS (Cont.) NCTM Stards (cont.) Skills (cont.) Number Operations Algebra Geometry Measurement Data Analysis Probability Equivalence 0,,,, 0 0 9, Estimation,, 9, 7, 68, 69, 06, 07,, 9 8, 85 Exped Notation Fractions Graph Inequalities Length Likelihood/Prediction Line Graph Money Multiplying Whole Numbers Order, 5, 6, 8, 5, 7 07, 08, 09, 0,,,, 8, 9,,,, 6, 7, 8, 9, 0,,,, 9, 0,,,, 5, 6, 8, 9, 86, 06, 9, 7,,, 75, 05,, 5, 55 0,, 86, 5 6, 0, 60, 6, 5, 59 0, 5, 88, 0, 05, 9, 0,, 7, 87, 88, 89,, 5 76. 77,, 70,,, 8,, 8, 85, 86, 7, 9; 5, 6,,, 5, 7, 9, 0, 8, 9, 7, 7, 7, 8, 9,, 9, 95,,, 55, 57, 58, 59, 60, 6, 6, 75, 0, 6, 56, 57, 58, 59, 70, 7, 86, 87, 89, 90, 9, 96, 97, 00,,, 5, 6, 7, 6, 6, 6, 78, 7, 9,, 9, 6, 50, 67, 75, 05 6, 7, 0,, 9, 56, 89, 0, 0, 05, 5, 97 85 80, 8, 8, 9, 68, 69, 70, 0 0, 7, 87, 9 8, 8, 85 87, 5,, 8 Parallel, 60, 6, 7, 5, 59 Patterns, 8,, 5, 58, 60, 6,,, 5, 57, 0 8, 5, 58, 00 iv 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89
Mathematical Reasoning Level D Table of Contents TABLE OF CONTENTS (Cont.) NCTM Stards (cont.) Number Operations Algebra Geometry Measurement Data Analysis Probability Skills (cont.) Perimeter 75, 77 7, 76, 6, 7, 90 Perpendicular, 5, 59 Place Value Polygon Properties Rounding Rotation, Translation, Reflection Shapes Subtracting Whole Numbers Survey Symmetry Table Temperature,, 50, 0, 8, 5, 55, 56 56, 8, 6, 8,,, 9, 7, 68, 06, 07, 9, 8, 5, 5, 58, 8, 00 00, 5, 7 7, 9, 8,, 7, 50, 5, 65, 96, 00, 5, 50, 88, 9, 95, 99, 0, 0, 70, 7, 77, 07, 0, 6, 7 80 9, 0, 0,, 6, 67, 66, 67, 9,, 5, 6, 7, 8, 9,, 5, 5,, 8, 9, 5, 97 07, 08, 8, 9, 0, 0,, 6, 66, 66, 67, 9, 5, 6, 7, 8, 50, 5, 80,, 5,, 5 6, 6, 6, 8 5, 7, 60, 70, 76,, 8,, 8, 86, 5, 6 7, 76, 78, 79, 80,, 6, 90, 9 7, 0,, 9, 95,,.. 6, 7, 0, 8, 5, 56, 5, 9, 6,, 69, 70, 78, 0,, 67, 9, 0, 8,,, 9, 9, 7, 8, 9, 0 69 76, 77, 7 9, 0,, 68, 69, 70 0, 6, 7, 0, 05, 70 88, 9, 05, 0,, 68, 69, 70 88,, 5, 6, 7, 9, 05, 9, 0, Time Variable, 5 8, 9, 5, 68, 69, 0,, 8, 0, 0, 0 5, 0, 00, 5, 7 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89 v
Mathematical Reasoning Level D Table of Contents TABLE OF CONTENTS (Cont.) NCTM Stards (cont.) Skills (cont.) Number Operations Algebra Geometry Measurement Data Analysis Probability Vocabulary Weight Word Form Word Problems,,,,, 7, 8,, 9,, 6, 7, 50, 55, 56, 8, 8, 86, 9, 98, 00, 0, 0, 06, 07, 08, 0,,, 6, 8, 9, 7, 8,,, 8, 56, 95, 0,,, 0,,,, 5, 56, 8, 9, 98,, 6, 8, 5, 55, 7, 7 9, 6, 7, 86, 87, 90, 9, 9, 9, 98, 99, 08, 09,, 0, 9, 7, 8, 85, 95, 98, 0, 0,, 9, 65, 9, 95, 98, 05, 8,,, 8, 0, 6, 7, 9,, 0,, 6, 6, 66, 67, 7, 7, 60, 6, 6, 6, 65, 06, 07, 08,, 5, 6, 7, 8, 5, 6,, 6, 50, 59, 60, 8, 8, 6,,, 5,, 8, 68, 69, 70, 76, 77, 78, 79,, 7, 76, 78, 8, 8, 8,,, 90, 9, 0, 0, 7, 8, 9, 0 08 78, 79, 8, 8, 8,, 8, 0, 5, 7, 8, 6, 7,,,, 5, 55, 69, 0,, 96, 7, 8, 8, 85, 6, 6, 65, 66, 06, 07, 6, 5, 5, 59, 60, 8,, 5, 6, 8, 9 68, 69, 70, 0,,, 5, 75, 77, 80, 8, 8, 8,,, 5, 7, 90, 9, 0, 7, 8, 9, 0 80, 88, 9, 0, 7 0, 5, 80, 8, 8, 88, 6, 7, 88, 9, 9, 0, 05, 8, 7, 87, 89, 0, vi 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89
Measurement Metric Units Celsius Degrees ( C) are units of temperature. Water boils at 00 C. Room temperature is about 0 C. Circle the best estimated temperature for the activity. 00 50 00 50 00 50 0 Human body temperature is about 7 C. Water freezes at 0 C.. Swimming C C. Playing in the snow C 5 C. Flu season 0 C 8 C. Cooking in the oven 8 C 80 C 5. Refrigerator C 7 C 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89 77
Geometry Parallel lines are always the same distance apart. Perpendicular lines form right angles when they intersect. Follow the directions below to complete a cereal box.. Draw a line segment connecting C F that is parallel to the line connecting A E.. Draw a line segment connecting C D that is parallel to the line connecting A B.. Draw a line segment connecting F G that is parallel to the line connecting C D.. Draw a line segment connecting A C that is perpendicular to the line connecting A E. 5. Draw a line segment connecting E F that is perpendicular to the line connecting A E. A B C D G E F 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89 59
Measurement Complete each number sentence.. Fraction Decimal.. = = = =.. = =. 0 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89
Number Operations Write a multiplication sentence solve. Check your answer.. How many ears do twenty cats have?. How many wheels do three ATVs have?. How many toes do four people have?. This dog found the same number of bones as Fido Spot found. Together, how many have they found? 5. If Bob makes $5 a week, how much does he make in five weeks? 6. A company makes 50 brooms a week, how many brooms can be made in 8 weeks? 8 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89
Number Operations Find the quotient write the letter of each answer to solve the riddle below. t l d r 5 5 5 75 8 y 6 50 a 7 6 e 9 95 s 8 75 Where can you buy a ruler that is feet long? For Sale 5 8 5 85 5 5 9 5 6 55 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89
Number Operations Circle the mixed number that matches the picture.. = 7 8... a b Circle the fraction that does not belong. 5 5 6 8 = = = 7 6 5 5 9 7 5 5 7 6 c 8 6 9 d 8 0 009 The Critical Thinking Co. www.criticalthinking.com 800-58-89 5