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Acknowledgments

Complete Curriculum’s K-12 curriculum has been team-developed by a consortium of teachers, administrators, educational and subject matter specialists, graphic artists and editors.

In a collaborative environment, each professional participant contributed to ensuring the quality, integrity and effectiveness of each Compete Curriculum resource was commensurate with the required educational benchmarks and contemporary standards Complete Curriculum had set forth at the onset of this publishing program. �

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TABLE OF CONTENTS AND OBJECTIVES THIRD GRADE MATH

Lesson 1 Even Steven Objective: The student will be able to identify odd and even numbers and highlight all even numbers in a sequence.

Lesson 2 All in a Day’s Work Objectives: The student will be able to add and subtract written expressions of numbers.

Lesson 3 Ordering through the Days of the Month – Part 1 Objective: The student will be able to write out numbers in ordered form from 1 to 30 (first to thirtieth).

Lesson 4 Ordering through the Days of the Month – Part 2 Objective: The student will practice writing numbers 1-20 in ordered written form.

Lesson 5 Ordering through the Days of the Month – Part 3 Objective: The student will learn ordered written notation for numbers from 21 to 31.

Lesson 6 Ordering through the Days of the Month – Part 4 Objective: The student will practice using ordered written notation by comparing dates on a calendar.

Lesson 7 Ordered Written Form Review Objectives: The student will be able to write numbers 1-31 in written ordered form in preparation for a quiz.

Lesson 8 Ordered Written Form Quiz Objectives: The student will be able to write out numbers 1-30 in ordered written form.

Lesson 9 Writing to 100 Objectives: The student will be able to write out numbers 1 through 100 in ordered written form.

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Lesson 10 Counting Crickets Objectives: The student will be able to identify the difference between writing numbers in standard and expanded form. The student will be able to recognize that numbers are digits, and he will be able to use place-value position to help him identify digits.

Lesson 11 Thousand’s Turn Objectives: The student will be able to write numbers in the thousands in both standard and expanded form��recognize that numbers are digits, �� identify digits up through 10,000�� Lesson 12 Thousands of Words – Part 1 Objectives: The student will be able to write numbers in the thousands in standard, written, and expanded form, and he will be able to use place-value position to identify digits up through 10,000.

Lesson 13 Thousands of Words – Part 2 Objective: The student will continue studying numbers greater than 100 in written and numeric form.

Lesson 14 Thousands of Words – Part 3 Objective: The student will continue learning notation for numbers greater than 100.

Lesson 15 Thousands of Words – Part 4 Objective: The student will continue studying written form for numbers greater than 1000.

Lesson 16 Lessons 1-15 Review Objectives: The student will practice writing numbers in standard, expanded, and written form in preparation for an Assessment.

Lesson 17 Assessment, Lessons 1-15 – Place Value Objectives: The student will complete an Assessment covering the written forms of numbers.

Lesson 18 Order and Compare – Part 1 Objectives: The student will be able to compare numbers that are greater than or less than other numbers. The student will be able to determine the order of specific numbers.

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Lesson 19 Order and Compare – Part 2 Objective: The student will think of numbers in terms of “greater than” and “less than.”

Lesson 20 Order and Compare – Part 3 Objective: The student will recognize inequality signs.

Lesson 21 Order and Compare – Part 4 Objective: The student will reinforce her understanding of inequality and practice using the symbols to represent it.

Lesson 22 Order and Compare – Part 5 Objective: The student will learn how to arrange numbers in sequence.

Lesson 23 Pronouncing Patterns – Part 1 Objectives: The student will be able to demonstrate her knowledge and ability to count by numbers 6-9 through both oral and written expression. The student will be able to make a connection between sequences and patterns in counting by certain digits.

Lesson 24 Pronouncing Patterns – Part 2 Objective: The student will continue practicing counting by patterns.



Lesson 27 Counting by Cans – Part 1 Objectives: The student will be able to add three and four digit numbers with regrouping.

Lesson 28 Counting by Cans – Part 2 Objective: The student will learn how to add to the thousands place.

Lesson 29 Counting by Cans – Part 3 Objective: The student will learn about rounding in this Lesson.

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Lesson 30 Counting by Cans – Part 4 Objective: The student will review rounding and regrouping.

Lesson 31 Counting by Cans – Part 5 Objective: The student will complete an assessment of her rounding and regrouping skills.

Lesson 32 Giving is Great – Part 1 Objectives: The student will be able to subtract three and four-digit numbers, including the use of borrowing.

Lesson 33 Giving is Great – Part 2 Objective: The student will learn to subtract four-digit numbers.

Lesson 34 Giving is Great – Part 3 Objective: The student will learn to round off to express approximate differences between numbers. �� Lesson 35 Giving is Great – Part 4 Objective: The student will prepare for an assessment on four-digit subtraction and rounding. �Lesson 36 Giving is Great – Part 5 Objective: The student will take a test covering subtraction and rounding. ��Dollar, Dollar Bills – Part 1 Objectives: The student will be able to compare different values of money, and she will be able to determine various equivalent amounts of money by using different combinations of dollars and coins. �Lesson 38 Dollar, Dollar Bills – Part 2 Objective: The student will compare monetary equivalencies. �Lesson 39 Dollar, Dollar Bills – Part 3 Objective: The student will be able to compare coins to fractions of a whole dollar��

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Lesson 40 Dollar, Dollar Bills – Part 4 Objective: The student will become proficient at adding dollar values together.

Lesson 41 Dollar, Dollar Bills – Part 5 Objective: The student will add larger sums together than in Lesson 40.

Lesson 42 Dollar, Dollar Bills – Part 6 Objective: The student will learn to apply rounding to dollar values.

Lesson 43 Dollar, Dollar Bills – Part 7 Objective: The student will learn how to figure out the estimated difference between two dollar amounts.

Lesson 44 Dollar, Dollar Bills – Part 8 Objective: The student will be able to subtract real dollar amounts.

Lesson 45 Lessons 37-44 Review - Part 1 Objective: The student will complete a review of topics for an upcoming assessment.

Lesson 46 Lessons 37-44 Review - Part 2 Objective: The student will complete a review of topics for an upcoming assessment.

Lesson 47 Assessment, Lessons 37-44 Decimals, Fractions, Money Objective: The student will complete an assessment on dollar-value mathematics.

Lesson 48 How many do we have? Objectives: The student will be able to organize materials into categories. The student will be able to count items. The student will be able to create a bar graph.

Lesson 49 What are the parts of a Bar Graph? Objectives: The Student will be able to identify the key components of a bar graph (e.g., axes, categories, counts, etc.). The Student will be able to identify the maximum, minimum, and range of values in a bar graph. The Student will be able to create a bar graph.

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Lesson 50 Reversing the Axes: What Changes? Objectives: The Student will be able to identify the similarities between a vertical and horizontal bar graph. The Student will be able to identify key components of a bar graph (e.g., axes, categories, counts, etc.).

Lesson 51 Scales Objectives: The Student will be able to explain the impact of changing scales on a bar graph.

Lesson 52 Graphing Quiz Objective: The student will take a quiz, testing her knowledge of scale as pertinent to Bar Graphs.

Lesson 53 Comparing Horizontal and Vertical Bar Graphs Objectives: The Student will be able to identify the similarities between a vertical and horizontal bar graph.

Lesson 54 Using Graphs to Solve Problems – Part 1 Objectives: The Student will be able to create a graph given a story problem.

Lesson 55 Using Graphs to Solve Problems – Part 2 Objectives: The Student will be able to create a graph given a story problem, and she will be able to compare graphs to solve problems.

Lesson 56 Lesson 48-55 Review Objective: The student will refresh his working knowledge of graphs.

Lesson 57 Assessment, Lessons 48-55 – Graphs Objective: The student will take a comprehensive Assessment on her knowledge of graphs.

Lesson 58 Only Time will Tell – Part 1 Objectives: The student will be able to tell time to the nearest minute, and he will be able to use an analog clock to measure elapsed time.

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Lesson 59 Only Time will Tell – Part 2 Objective: The student will learn how to tell time using AM and PM.

Lesson 60 Only Time will Tell – Part 3 Objective: The student will be able to measure elapsed time by comparing two clocks.

Lesson 61 Setting some Schedules Objectives: The student will be able to determine the amount of elapsed time through the use of a schedule.

Lesson 62 Capitals on Calendars Objectives: The student will be able to write out dates using the appropriate spellings and punctuation. The student will be able to list and spell the days of the week and months of the year in their correct order.

Lesson 63 Mapping the Months Objective: The student will be able to list and spell the days of the week and months of the year in their correct order.

Lesson 64 Writing out Dates Objectives: The student will be able to write out dates using the appropriate spellings and punctuation.

Lesson 65 Dates and Duration Objectives: The student will be able to determine the amount of elapsed time through the use of a calendar. ��

Lesson 66 Lessons 58-65 Review – Part 1 Objectives: The student will review the essentials of measuring time with calendars and schedules.

Lesson 67 Lessons 58-65 Review – Part 2 Objective: The student will continue a review of time measurement.

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Lesson 68 Lessons 58-65 Review – Part 3 Objective: The student will continue a review of time units.

Lesson 69 Lessons 58-65 Review – Part 4 Objective: The student will finish reviewing for a comprehensive assessment on time units.

Lesson 70 Assessment – Lessons 58-65 Time, Schedules and Dates Objectives: The student will take a comprehensive Assessment on time metrics.

Lesson 71 Times are Tough! Objectives: The student will be able to relate the concept of repeated addition to multiplication��

Lesson 72 Factors for a Product Objectives: The student will be able to find factors of the numbers 2&5. �� !��"��Lesson 73 3 Times on a Line Objectives: The student will be able to find products of the number 3. �Lesson 74 Up and Down with 4’s All Around Objectives: The student will learn how to multiply by 4, and will become acquainted with the vertical and horizontal orientation of tables and the nature of cells. �Lesson 75 Mastering Multiplication: 2’s-5’s Review – Part 1 Objectives: The student will review multiplication problems with the factors 2 through 5 in preparation for an upcoming quiz. �Lesson 76 Mastering Multiplication: 2's-5's-Part 2 Objectives: The student will review multiplication problems with the factors 2 through 5 in preparation for an upcoming quiz.

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Lesson 77 Mastering Multiplication: 2’s-5’s-Quiz – Part 1 Objectives: The student will demonstrate mastery of multiplying numbers 2-5 by successfully completing a quiz.

Lesson 78 Mastering Multiplication: 2’s through 5’s-Quiz – Part 2 Objectives: The student will demonstrate mastery of multiplying numbers 2-5 by successfully completing a quiz.

Lesson 79 Timing the Times Table for 2 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits. The student will be able to memorize the times table with factors of 2.




Lesson 83 Timing the Times Table for 0-5 - Part 1 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits. The student will be able to memorize the times table with factors of 0-5.

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Lesson 86 Mastering Multiplication with 6’s Objectives: The student will be able to find products of numbers 1 through 6. �� Lesson 87 Mastering Multiplication with 7’s Objectives: The student will be able to find products of numbers 1 through 7. �� Lesson 88 Mastering Multiplication with 6’s & 7’s Practice & Review -- Part 1 Objective: The student will be able to find products of numbers 1 through 7. The student will be able to complete multiplication charts with the factors 1 through 7. �Lesson 89 Mastering Multiplication with 6’s & 7’s Practice & Review -- Part 2 Objectives: The student will continue to study for a quiz on multiplying by 6 and 7. �Lesson 90 Mastering Multiplication with 6’s & 7’s Quiz --Part 1 Objectives: The student will complete a quiz demonstrating mastery of multiplying by factors up to 7. �Lesson 91 Mastering Multiplication with 6’s & 7’s Quiz -- Part 2 Objectives: The student will complete a Quiz demonstrating mastery of multiplying by factors up to 7.

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Lesson 92 Timing the Times Table for 6 Objectives: The student will be able fill in sequential and non-sequential multiplication charts within specific time limits. The student will be able to memorize the Times Table with factors of 6.

Lesson 93 Timing the Times Table for 7 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits. The student will be able to memorize the Times Table with factors of 7.

Lesson 94 Timing the Times Table for 0’s-7’s – Part 1 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits. The student will be able to memorize the Times Table with factors 0 through 7.

Lesson 95 Timing the Times Table for 0’s-7’s – Part 2 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits. The student will be able to memorize the Times Table with factors 0 through 7.

Lesson 96 Timing the Times Table for 0’s-7’s – Part 3 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits, and will be able to memorize the Times Table with factors 0 through 7. �Lesson 97 Eating up Eights Objectives: The student will be able to find products of numbers 1 through 8. The student will be able to complete multiplication charts with the factors 1 through 8. �Lesson 98 Fun Times With 9’s Objectives: The student will be able to find products of numbers 1 through 9. He will be able to determine how many rows and columns go into a table based on the number of cells. The student will be able to complete multiplication charts with the factors 1 through 9. ��

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Lesson 99 10’s Time Objectives: The student will be able to find products of numbers 1 through 10. The student will be able to complete multiplication charts with the factors 1 through 10.

Lesson 100 Mastering Multiplication 8’s through 10’s Review -- Part 1 Objective: The student will begin reviewing for an Assessment on multiplying by 8, 9, and 10.

Lesson 101 Mastering Multiplication 8’s through 10’s Review -- Part 2 Objectives: The student will continue reviewing for an assessment on multiplying by 8, 9, and 10.

Lesson 102 Mastering Multiplication 8’s through 10’s Quiz -- Part 1 Objectives: The student will be Quizzed on his mastery of multiplying by the factors 8, 9, and 10.

Lesson 103 Mastering Multiplication 8’s through 10’s Quiz -- Part 2 Objectives: The student will continue to be quizzed on her mastery of multiplying by the factors 8, 9, and 10.

Lesson 104 Timing the Total Times Table for 8 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits, and he will be able to memorize the Times Table with factors of 8.

Lesson 105 Timing the Total Times Table for 9 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits, and she will be able to memorize the Times Table with factors of 9.

Lesson 106 Timing the Total Times Table for 6’s-10’s – Part 1 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits, and he will be able to memorize the Times Table with factors 0 through 10.

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Lesson 107 Timing the Total Times Table for 6’s-10’s – Part 2 Objectives: The student will be able fill in sequential and non-sequential multiplication charts with specific time limits, and she will be able to memorize the Times Table with factors 0 through 10.

Lesson 108 Timing the Total Times Table for 0's-10's-Part 3 Objectives: The student will be able to fill in sequential and non-sequential multiplication charts with specific time limits, and he will be able to memorize the Times Table with factors 0 through 10.

Lesson 109 Timing the Total Times Table for 0's-10's -Part 4 Objectives: The student will be able to fill in sequential and non-sequential multiplication charts with specific time limits, and she will be able to memorize the Times Table with factors 0 through 10.

Lesson 110 Multiplying with Multiple Digits Objectives: The student will be able to multiply two-digit numbers by single digit numbers in order to get two and three digit products. The student will be able to apply his knowledge of multiplication to solving equations with simple three and four digit products. Lesson 111 Finding Missing Factors Objectives: The student will be able to multiple two-digit numbers by single-digit numbers in order to get three-digit products, and she will be able to apply her knowledge of multiplication to solving equations with simple three-digit products. Lesson 112 Multiplying Multiple Times Objectives: The student will be able to multiply a series of three factors in order to find one product, and he will be able to multiply with three factors using grouping techniques. Lesson 113 What is Area? Objectives: The student will be able to find the area of a rectangle with whole number side lengths by covering the shape with unit squares and counting, or by using a grid of unit squares. She will also be able to write the area as a sum. ��

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Lesson 114 Looking Inside Square-What Is Area? Objectives: The student will be able to find the area of a rectangle with whole number side lengths by covering with unit squares and counting or using a grid of unit squares. He will also be able to calculate the area of squares/rectangles as a product of the dimensions. Lesson 115 Looking Around a Square-What is Perimeter? Objectives: The student will know the definition of area and perimeter and calculate the perimeter of a square and rectangle given whole number side lengths.�� Lesson 116 Shortcut for Perimeter of a Square or a Rectangle Objectives: The student will be able to find the perimeter of a rectangle with whole number side lengths by adding up the measured length of all sides of the shape. He will also be able to find the perimeter of irregular shapes by adding up the measured length of all sides of the shape, and to use multiplication to speed up perimeter calculations of squares and rectangles. Lesson 117 What's the Difference? Area vs. Perimeter Objectives: The student will be able to find the area and perimeter of various shapes, and she will be able to distinguish between area and perimeter to solve problems. �� #�� Lesson 118 How big is it? Centimeters vs. Inches Objectives: The student will be able to find the area and perimeter of various shapes, and distinguish between area and perimeter to solve problems. The student will use real units��$�� for this exercise. Lesson 119 Estimating Area and Perimeter in Centimeters and Inches Objectives: The student will be able to estimate area and perimeter in centimeters and inches. Lesson 120 Units of Measure bjectives: The student will be able to describe the difference between square units and length units. ��

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Lesson 121 �� Objective: The student will ��$�� #��%� ��'�*�� '��*��'�*��+�� %�� %��'��*�� %�� ;�� Lesson 122 Lessons 113-121 Review Objectives: The student will ��calculating area and perimeter�� Lesson 123 Assessment, Lessons 113-121 Area, Perimeter and Units of Measure Objective: The student will complete the Assessment to demonstrate mastery over area and perimeter calculations. Lesson 124 Sharing Sticks Objectives: The student will be able to: understand the meaning and use of division; separate groups of items and relate it to the division process; write out division problems that represent the groupings of various items. Lesson 125 Sweet Subtraction Objectives: The student will gain familiarity with division. Lesson 126 Quaky Quotients! Objectives: The student will be able to identify the following terms: dividend, divisor, and quotient. Lesson 127 Defining and Dividing Objective: The student will be able to write the inverse equations of various multiplication and division problems. Lesson 128 Fact Families are Full of Fun Objectives: The student will be able to identify different equations and factors in fact families.

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Lesson 129 Division Basics Review-Part 1 Objective: The student will complete the first part of a review on division in preparation for an assessment. Lesson 130 Division Basics Review-Part 2 Objective: The student will complete the second part of a review on division in preparation for an assessment in Lessons 131 and 132. Lesson 131 Division Basics Assessment--Part 1 Objectives: The student will complete an assessment covering the basics of division. Lesson 132 Division Basics Assessment--Part 2 Objectives: The student will complete the second portion of the Division Basics Assessment. Lesson 133 2’s & 5’s, it’s Division Time Objectives: The student will be able to solve division problems involving 2’s & 5’s by finding the dividend, divisor, and quotient. She will also be able to apply multiplication problems to long division symbols. ��=��!��>!� �� Lesson 134 Hit the Floor with 3’s & 4’s Objectives: The student will be able to verify answers to division problems involving 3’s & 4’s by writing the inverse of each equation. The student will be able to solve division problems involving 3’s & 4’s by finding the dividend, divisor, and quotient. Lesson 135 0 is our Hero! Objectives: The student will be able to solve division problems involving 0’s & 1’s by finding the dividend, divisor, and quotient. Lesson 136 0’s-5’s Division Review – Part 1 Objectives: The student will review division of numbers 0-5 in preparation for an Assessment. Lesson 137 0’s-5’s Division Review – Part 2 Objectives: The student will complete the second portion of the 0’s through 5’s Division Review Worksheet.

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Lesson 138 0’s-5’s Division Quiz – Part 1 Objectives: The student will complete the first portion of an Assessment covering dividing with numbers 0-5. Lesson 139 0’s-5’s Division Quiz – Part 2 Objectives: The student will complete the second portion of the 0’s through 5’s Division Assessment. Lesson 140 Outer Space 6’s Objectives: The student will be able to verify answers to division problems involving 6’s by writing the inverse of each equation. The student will be able to solve division problems with 6’s by finding the dividend, divisor, and quotient. Lesson 141 Sporting Some 7’s Objectives: The student will be able to verify answers to division problems involving 7’s by writing the inverse of each equation. The student will be able to solve division problems involving 7’s by finding the dividend, divisor, and quotient. Lesson 142 Elevators and 8's Objectives: The student will be able to verify answers to division problems involving 8's by writing the inverse of each equation. The student will be able to solve division problems involving 8's by finding the dividend, divisor, and quotient. Lesson 143 Sailing with 9’s & 10’s Objectives: The student will be able to verify answers to division problems involving 9’s &10’s by writing the inverse of each equation. The student will be able to solve division problems involving 9’s & 10’s by finding the dividend, divisor, and quotient. Lesson 144 Poor Stranger, Remainder Objectives: The student will be able to check answers to division problems involving remainders. The student will also be able to solve long division problems involving multiple steps for finding the quotient, and he will be able to perform multi-step division problems for finding answers with remainders.

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Lesson 145 What’s Left? Objectives: The student will be able to perform multi-step division problems for finding answers with remainders, and she will be able to use long division to solve problems involving three-digit numbers. Lesson 146 Comprehensive Division Review-Part 1 Objectives: The student will begin a comprehensive review of division concepts, skills and strategies taught in Lessons 124-145. Lesson 147 Comprehensive Division Review-Part 2 Objectives: The student will continue completing a comprehensive review of all division concepts, skills and strategies taught in Lessons 124-145. Lesson 148 Division and Remainder Assessment--Part 1 Objective: The student will complete Part 1 of a comprehensive Division Assessment that covers the various strategies and properties for division of 0-10 as taught in Lessons 124-145. Lesson 149 Division and Remainder-Part 2 Objective: The student will complete Part 2 of a comprehensive Division Assessment that covers the various strategies and properties for division of 0-10 as taught in Lessons 124-145. Lesson 150 Parts of a Pizza Objectives: The student will be able to understand that fractions represent parts of a whole, and learn to recognize, use and identify numerators and denominators. Lesson 151 Shading Some Circles Objectives: The student will be able to identify that fractions represent parts of a whole. The student will be able to write fractions based on shaded portions of whole objects. Lesson 152 Pieces of the Puzzle Objectives: The student will continue to write fractions based on shaded portions of whole objects, and he will correlate fractions with division problems.

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Lesson 153 Fractional Sounds Objectives: The student will be able to sound out and translate fractions into written expression. Lesson 154 Fractional Feet Objectives: The student will be able to compare equivalent fractions based on various units of measurement. Lesson 155 In Line with Fractions Objectives: �� The student will be able to place multiple fractions in numerical order and compare their values. The student will be able to determine if fractions are greater than or less than one another. � Lesson 156 Fraction Basics Practice and Review-Part 1 Objectives: The student will review fraction basics. Lesson 157 Fraction Basics Practice and Review-Part 2 Objectives: The student will continue to review fraction basics. Lesson 158 Fraction Basics Quiz -- Part 1 Objectives: The student will complete a Quiz on fraction basics. Lesson 159 Fraction Basics Quiz - Part 2 Objectives: The student will take the second half of the fraction basics Quiz. Lesson 160 Portions of Pages Objectives: The student will be able to place multiple fractions in numerical order and compare their values. Lesson 161 Fractions that Make Cents Objectives: The student will be able to relate money values to fractions. The student will be able to add fractions together by finding common denominators.

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Lesson 162 LCD Objectives: The student will be able to identify common denominators. The student will be able to find the lowest common denominators for numbers. Lesson 163 Adding with the LCD Objectives: The student will be able to identify common denominators. The student will be able to add fractions together by finding the lowest common denominators. Lesson 164 Taking a Piece of Me Objectives: The student will be able to identify common denominators. The student will be able to subtract like fractions. The student will be able to identify that fractions represent parts of a whole. The student will be able to recognize, use and identify both numerators and denominators. Lesson 165 Mix it Up Some More Objectives: The student will be able to turn fractions with higher numerators than denominators into mixed numbers with a whole number and a fraction. Lesson 166 The Simplest Sum Objective: The student will be able to turn fractions into their simplest form. Lesson 167 Fractions Finals Practice and Review – Part 1 Objective: The student will review for the fractions final. Lesson 168 Fractions Finals Practice and Review – Part 2 Objective: The student will continue to review for the fractions final. Lesson 169 Fractions Final Quiz -- Part 1 Objectives: The student will take the first part of the fractions final. Lesson 170 Fractions Final Quiz - Part 2 Objectives: The student will take the second part of the fractions final Quiz.

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Lesson 171 The Face of Figures Objectives: The student will be able to identify and label basic solid figures and identify the faces, edges, and vertices of various solid figures. Lesson 172 It’s All About the Angles Objectives: The student will be able to identify and label lines, points, line segments, angles, right angles. The student will be able to compare and determine if angles are greater than or less than right angles. Lesson 173 Crossing Lines Objective: The student will be able to identify and label parallel and perpendicular lines. Lesson 174 Geometry Basics Review Objectives: The student will review basic geometry concepts like shapes and angles as well as key terms like vertex, face, and edge. Lesson 175 Geometry Basics Quiz 1 Objective: The student will complete a quiz on geometry basics. Lesson 176 All Shapes and Sizes Objectives: The student will be able to identify, label, distinguish between and draw different polygons: triangles, quadrilaterals, pentagons, hexagons, and octagons. Lesson 177 4 Types with 4 Sides Objectives: The student will be able to identify, label, distinguish between and draw different quadrilaterals: parallelograms, rhombuses, squares, and rectangles. Lesson 178 It’s all the Same Objectives: The student will be able to identify, label, distinguish between and draw different congruent figures. The student will be able to determine if various figures are divided congruently by lines of symmetry. The student will be able to construct various shapes using congruent figures.

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Lesson 179 Geometry Shapes and Sides Review Objectives: The student will review for a quiz on polygons. Lesson 180 Geometry Shapes and Sides Quiz Objectives: The student will take a final Quiz on Geometry.

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Third Grade Math Common Core Alignment Complete Curriculum Lesson

Operations and Algebraic Thinking

--Represent and solve problems involving multiplication and division.3.OA.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups

*71,�72,�74,�76,�86,�87,�97,�98,�124 125 127 128 129 130p j g p

of 7 objects each, or 7 groups of 5 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.

124,�125,�127,�128,�129,�130,�131,�132,�134,�136,�137,�138,�

139,�140,�146,�147,�148,�149�3.OA.2 Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each Forare partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56÷8.

126,�1333.OA.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown

*111 126 130 133g q y

number to represent the problem. *111,�126,�130,�1333.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = � ÷ 3, 6 × 6 = ?.

111,�126,�127,�129,�130,�131,�132,�134,�136,�137,�138,�139,�140,�141,�142,�143,�146,�147,�148,�149

--Understand properties of multiplication and the relationship between multiplication and divisionrelationship between multiplication and division.3.OA.5 Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = 73 74 89 90 91 98 103 112, ( )(8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

73,�74,�89,�90,�91,�98,103,�112,�127

3.OA.6 Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8. 124,�125,�127�134,�136�139,�140,--Multiply and divide within 100.3.OA.7 Fluently multiply and divide within 100, using t t i h th l ti hi b t lti li tistrategies such as the relationship between multiplication

and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

74,�76,�86,�89,�98,�101,�111,��124,�129,�130,�131,�132,�146,�147,�148,�149

--Solve problems involving the four operations, and identify and explain patterns in arithmetic.

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3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

98,�101,�103,�110,�112,�124,�125,�129,�130,�131,�132,�140,�141,�142,�143,�147,�148,�149

3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explainin the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends. 86,�87,�97,�98Number and Operations in Base Ten

--Use place value understanding and properties of operations to perform multi-digit arithmetic.operations to perform multi digit arithmetic.3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. 29,�30,�31,�34,�35,�36,�423.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. 27,�28,�34,�40,�42,�71,�863.NBT.3 Multiply one-digit whole numbers by multiples

f 10 i th 10 90 ( 9 80 5 60) iof 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations. 110,�111Number and Operations—Fractions

--Develop understanding of fractions as numbers.3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal

t d t d f ti /b th tit f d 154, 155, 156, 157, 158, 159,parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

154,�155,�156,�157,�158,�159,�167,�168,�169,�170

3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. *154,�155partitioning it into b equal parts. ,b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. *154,�1553.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.a Understand two fractions as equivalent (equal) if theya. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Recognize that equivalencies are only valid when the two fractions refer to the same whole.

155,�157,�159,�167,�168,�169,�170

b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. 155,�157,�158,�159,�167,�168,�

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c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. 165,�167,�168,�169,�170d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the twoRecognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

154�159,�167�170Measurement and Data

--Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of , q ,objects.3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. 58�61,�65�733.MD.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g)masses of objects using standard units of grams (g), kilograms (kg), and English Units (oz, lb.), and liters (l).6 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem. *121,�122--Represent and interpret data.p p3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. For example, draw a bar graph in which each square in the bar graph might represent 5 pets. 48�573.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the h i l l i k d ff i i ihorizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

*155--Geometric measurement: understand concepts of area and relate area to multiplication and to addition.3.MD.5 Recognize area as an attribute of plane figures and understand concepts of area measurement.

a. A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area. 113,�114b. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. 113,�1143.MD.6 Measure areas by counting unit squares ( i ft d(square cm, square m, square in, square ft, and improvised units). 118,�119

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3.MD.7 Relate area to the operations of multiplication and addition.a. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

119,�150b. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving realwhole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. 114,�117,�143c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical

114 117reasoning. 114,�117d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. 113,�114,�117--Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linearattribute of plane figures and distinguish between linearand area measures.3.MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. 115�119,�121�122G tGeometry

--Reason with shapes and their attributes.3.G.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and

l f d il t l d dsquares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. 176,�177,�179,�1803.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape. 150,�156,�158the area of the shape. , ,

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