Northampton County Schools Third Grade Math Curriculum Map 2012-2013 Subject: Math Grade Level: Third Grade Unit Title: Big Idea/Themes: Understandings: Timeframe Needed for Completion: 9 Weeks Grading Period: 1st Nine Weeks 1st 9 weeks Number and Operations in Base Ten 1st 4 ½ weeks 3.NBT Use place value understanding and properties of operations to perform multi-digit arithmetic. 1. Use place value understanding to round whole numbers to the nearest 10 or 100. 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. ********************************************* Operations and Algebraic Thinking, Number and Operations in Base Ten, Multiplication and Division Vocabulary Words 1st 4 ½ Weeks Place value: ones, tens, hundreds, thousands Forms of numbers: identity, commutative, associative Order of operations Comparing and Ordering Numbers Estimation and/or Rounding Repeating Patterns Less than, greater than, compare, digit, add, addends, sum, subtract, difference, equal to , not equal, order Essential Questions *Can I move fluently between addition and subtraction? *Am I able to identify the key words in a word problem that will point to the particular operations that are necessary 2nd 4 ½ weeks Vocabulary Words 3.NBT Use place value understanding and properties of operations to perform multi-digit arithmetic. Product Multiplication Groups Arrays 1. Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations Multiplication should be the focus of 3.OA in the first quarter, but not assessed on district assessments. Both multiplication and division will be assessed at the end of the second quarter. Divide Essential Questions *Are students able to express repeated addition as a multiplication fact? *Can students take a multiplication fact and decompose it into a repeated addition sentence? 3.OA Represent and solve problems involving *Can students represent the Northampton County Schools Third Grade Math Curriculum Map 2012-2013 to solve a multi-step word problem? *Can I justify their answer using words, pictures or diagrams? *Am I able to translate a word problem into a numeric sentence and assign a variable to an unknown quantity? *Can I distinguish between a geometric pattern and a number pattern? *Am I able to express numeric patterns using a numeric sentence? multiplication and division. 1. Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7. product of a multiplication fact using a representative drawing, such as an array? *Can students fluently calculate multiplication and division problems? *Are students able to determine when it is appropriate to multiply or divide in a word problem? *Can students justify the *Am I able to extend numeric patterns? reasonableness of their answer *Can I identify the multiples of 10 or and use pictures or drawings? 100 that are closest to any given *Can students fluently multiply number as it is represented on the and divide one digit numbers? number line? *Do students understand the *Can I determine the relative distance relationship between of a number within the multiples of 10 multiplication and division as and 100 that surrounds it? inverse operations? *Am I able to determine whether to *Can students make a set of round up or round down as a result of multiplication and division fact looking at the digits that occupy the families? ones place (when rounding to the *Are students able to use a nearest 10) or the tens place (when picture or diagram to help them rounding to the nearest 100)? solve for a missing portion of a *Have students been exposed to a wide multiplication or division number range of problem-solving tools that go sentence? beyond counting fingers and using a *Can students fluently multiply Northampton County Schools Third Grade Math Curriculum Map 2012-2013 number line? and divide one digit numbers? *Can students communicate their *Do students understand the reasoning for choosing a specific relationship between strategy for problem-solving? multiplication and division as *Do students feel safe to explore and investigate how to solve addition and subtraction sentences? inverse operations? *Can students make a set of multiplication and division fact families? *Are students able to use a picture or diagram to help them solve for a missing portion of a multiplication or division number sentence? *Can students move fluently between multiplication and division? *Are students able to identify the key words in a word problem that will point to the particular operations that are necessary to solve a multi-step word problem? *Can students justify their answer using words, pictures or diagrams? *Are students able to translate a word problem into a numeric sentence and assign a variable to Northampton County Schools Third Grade Math Curriculum Map 2012-2013 an unknown quantity? *Can students distinguish between a geometric pattern and a number pattern? *Are students able to express numeric patterns using a numeric sentence? *Are students able to extend numeric patterns? *When multiplying by multiples of 10, are students able to identify and communicate the pattern shown in the products? *Can students relate the patterns they observe in multiplication with the patterns found in addition and subtraction and then make a generalization connecting them all with one another? *Are students able to fluently multiply one-digit by one-digit numbers mentally? Materials: Envision Topics: Topic 2, Topic 3, Topic 4, Topic 5, Topic 6 DPI Resources Envision Math Games: Math Facts Practice, Snowman Surplus, Number Jungle, Captain Cod, Northampton County Schools Third Grade Math Curriculum Map 2012-2013 Disco Robot, Field Goal, Help Granny, Soccer Stars, 5x Song