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Table of Contents Number and Operations Lesson 1 Reading and Writing Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Lesson 2 Factors and Multiples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Lesson 3 Prime and Composite Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Lesson 4 Ordering Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Lesson 5 Fractions and Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Lesson 6 Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Lesson 7 Place Value of Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Lesson 8 Comparing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 Lesson 9 Introduction to Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Lesson 10 Solving Problems with Whole Number Operations. . . . . . . . . . . . . . . . . . . . . . . . . 42 Lesson 11 Solving Problems by Adding and Subtracting Fractions. . . . . . . . . . . . . . . . . . . . . 46 Lesson 12 Rounding Whole Numbers and Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Lesson 13 Estimating to Solve Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Lesson 14 Multiplying by Two-Digit Whole Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Lesson 15 Dividing By Single-Digit Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Lesson 16 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 Lesson 17 Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 Measurement Lesson 18 Using Rulers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Lesson 19 Converting Measurements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 Lesson 20 Estimating Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 Lesson 21 Perimeter and Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 Lesson 22 Solving Problems with Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 4 240NA_Mth_G5_SE_FM_PDF_.indd 4 8/6/07 9:12:04 AM Geometry Lesson 23 Points, Lines, Segments, and Rays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 Lesson 24 Quadrilaterals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 Lesson 25 Three-Dimensional Figures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 Lesson 26 Translations, Rotations, and Reflections. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 Algebraic Concepts Lesson 27 Patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 Lesson 28 Representing Unknown Quantities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 Lesson 29 Solving Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 Data Analysis and Probability Lesson 30 Analyzing Data in Charts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 Lesson 31 Interpreting Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 Lesson 32 Range, Median, Mode, and Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 Lesson 33 Predicting Outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 Lesson 34 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 Math Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 5 240NA_Mth_G5_SE_FM_PDF_.indd 5 8/6/07 9:12:05 AM LESSON 24 Quadrilaterals 2EVIEW)T When you work with quadrilaterals, remember these words: parallelogram a quadrilateral with opposite sides parallel and opposite sides the same length rhombus a parallelogram with all sides the same length trapezoid a quadrilateral with exactly one pair of parallel sides Classify each quadrilateral. Geometry 1 Step 1 2 3 Look at Figure 1. THINK Parallel lines never cross. It has two pairs of parallel sides. It is a parallelogram. Step 2 Look at Figure 2. It has exactly one pair of parallel sides. It is a Step 3 . Look at Figure 3. It has two pairs of parallel sides. That makes it a parallelogram. And all of its sides are congruent, or the same length. So, it is a So, Figure 1 is a and Figure 3 is a REMEMBER Every rhombus is a parallelogram. . , Figure 2 is a . , 98 240NA_Mth_G5_SE_Less 20-29_PDF_.98 98 8/6/07 9:08:57 AM Lesson 24: Quadrilaterals 4RY)T Write Parallelogram, Trapezoid, or Neither. 1. 2. 3. !SK 9OURSELF 1. How many pairs of parallel sides does the figure have? 0, 1, or 2? Write Rectangle, Rhombus, Both, or Neither. 4. 5. 6. 4. What must a rhombus have? 4 right angles or 4 equal sides? 8. Geometry 7. 9. Solve. 10. 11. Bowie drew a quadrilateral that had four right angles. What is the name of this quadrilateral? 10. Do the four sides have to be congruent? Yes or no? Wendy drew a special quadrilateral. It had all right angles and all sides congruent. What is the name of this quadrilateral? 99 240NA_Mth_G5_SE_Less 20-29_PDF_.99 99 8/6/07 9:08:58 AM /N9OUR/WN 1. Which kind of quadrilateral is this? A. parallelogram B. rectangle C. rhombus D. trapezoid 3. 4. Which kind of quadrilateral is this? Geometry 2. Circle the answer for each question. 5. Which figure has to have four equal sides? A. parallelogram B. rectangle C. rhombus D. trapezoid What is true about a trapezoid? A. It has to be a parallelogram. B. It cannot be a parallelogram. C. It may or may not be a parallelogram. D. It has to have a right angle. A. rectangle B. rhombus C. square Sasha drew a quadrilateral with two pairs of parallel sides and 4 right angles. What has to be true about Sasha’s quadrilateral? D. trapezoid A. It is a rectangle. B. It is a rhombus. C. It is a square. D. It is a trapezoid. 100 240NA_Mth_G5_SE_Less 20-29_PDF_.100 100 8/6/07 9:09:01 AM Lesson 24: Quadrilaterals 6. Explain how a parallelogram and a trapezoid are the same. 7. Explain how a parallelogram and a trapezoid are different. -ATH 7ORDS Draw a line to match each quadrilateral to its description. rectangle All sides have to be equal. 9. parallelogram All sides have to be equal and all angles have to be right angles. 10. trapezoid It has two pairs of parallel sides. 11. rhombus It has one pair of parallel sides. 12. square All angles have to be right angles. Geometry 8. 101 240NA_Mth_G5_SE_Less 20-29_PDF_.101 101 8/6/07 9:09:02 AM