~ Gateway Regional School District~ Unit Plan (revised 2/15/13) Content Area: Go Math! Unit: Unit 2- Divide Whole Numbers Grade(s): 5 Time Line: 12 Days Date: October/November Domain/Content Standard(s): Number and Operations in Base Ten CC.5.NBT Number and Operations--Fractions CC.5.NF Stage 1: Desired Results Established Goals: Number and Operations in Base Ten 5.NBT Perform operations with multi-digit whole numbers and with decimals to hundredths. 6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 3. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret ¾ as the result of dividing 3 by 4, noting that ¾ multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size ¾. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Transfer: Lesson 2.1 Place the First Digit Place the first digit in the quotient by estimating or using place value. COMMON CORE CC.5.NBT.6 Lesson 2.2 Divide by 1-Digit Divisors Divide 3- and 4-digit dividends by 1-digit divisors. COMMON CORE CC.5.NBT.6 Lesson 2.3 Investigate•Division with 2-Digit Divisors Model division with 2-digit divisors using base-ten blocks. COMMON CORE CC.5.NBT.6 Lesson 2.4 Partial Quotients Use partial quotients to divide by 2-digit divisors COMMON CORE CC.5.NBT.6 Lesson 2.5 Estimate with 2-Digit Divisors Estimate quotients using compatible numbers. COMMON CORE CC.5.NBT.6 Lesson 2.6 Divide by 2-Digit Divisors Divide by 2-digit divisors. COMMON CORE CC.5.NBT.6 Lesson 2.7 Interpret the Remainder Solve division problems and decide when to write a remainder as a fraction. COMMON CORE CC.5.NBT.6, CC.5.NF.3 Lesson 2.8 Adjust Quotients Adjust the quotient if the estimate is too high or too low COMMON CORE CC.5.NBT.6 Lesson 2.9 PROBLEM SOLVING• Division Solve problems by using the strategy draw a diagram. COMMON CORE CC.5.NBT.6 COMMON CORE CC.3.OA.1 Also CC.3.OA.3, CC.3.OA.7, CC.3.NBT.2 Meaning: Students will * Make sense of problems and persevere in solving them. *Model with mathematics. *Look for and make use of structure. Essential Question: •How can you divide whole numbers? Acquisition: Students will know… •Where to place the first digit of a quotient without dividing •How to solve and check division problems. •How to use base-ten blocks to model and understand division of whole numbers. •How to use partial quotients to divide by 2-digit divisors. •How to use compatible numbers to estimate quotients. •How to divide by 2-digit divisors. •When to write the remainder as a fraction. •How to adjust the quotient if your estimate is too high or too low. •How to draw a diagram to help them solve a problem. Students will be skilled at… •Placing the first digit in the quotient. •Dividing 3- and 4-digit dividends by 1-digit divisors. •Modeling division with base-ten blocks. • Using partial quotients to divide by 2-digit numbers •Estimating quotients using compatible numbers. •Dividing by 2-digit divisors. •Writing the remainder as a fraction, and knowing when it is appropriate. •Adjusting the quotient if the estimate is too high or too low. •Drawing diagrams to solve problems. Vocabulary/factual knowledge: Dividend, divisor, quotient, remainder, inverse operations, partial quotients, compatible numbers, estimate. Stage 2: Evidence Assessment/Evidence of Learning: levels examples/blooms (Curriculum embedded performance assessment) Beginning of the Year Assessment; Mid-Chapter Checkpoint, Chapter 2 Test Performance tasks Other evidence: Stage 3: Learning Plan Summary of: Learning activities, strategies for instruction (include remediation and enrichment opportunities/differentiated instruction) Problem Based Learning Activity: Instructional Tools, Resources, 21st Century Skill(s) Component Blooms Level Stage 4: Reflection Unit Outcome: Notes for changes:
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