4th Grade Common Core Math Plans 2nd 9 weeks – 4th week Monday November 11 - Friday, November 15, 2013 The student will: 1) Multiply 2-digit numbers by 2-digit numbers using partial products 2) Multiply 2-digit numbers by 2-digit numbers using the lattice method 3) Multiply 2-digit numbers by 2-digit numbers using the expanded algorithm 4) Use estimating to check the reasonableness of answers Vocabulary factors products partial products expanded algorithm traditional algorithm compensation doubling halving hidden questions equations estimations Materials Journals Flipchart Base ten blocks or Digiblocks Laminated 1 cm graph paper Dry erase markers Application Problems Class work sheets Exit Tickets (optional) Homework sheets Monday, November 11: Multiplying 2 Digit Numbers Using the Expanded Algorithm (4.NBT.3, 4.NBT.5) In this lesson 1) Review the expanded algorithm from last week. 2) Introduce an application problem (see Envisions page 185 for an example) to engage students and to see what multiplication strategies students are using. 3) Discuss the strategies students used to solve the problem. Ask students how we could record our work using partial products without using a box – if they don’t bring it up, remind them of the practice from last week where they lined up the partial products under the problem and then added them up. Model several examples for students. Continue to have students estimate the answer before solving. 4) Class work – Independent Practice/Problem Solving pages 190 and 191 5) Debrief/Summarizing – Discuss students’ work. 6) Homework – Practice 8-2 Tuesday, November 12: Multiplying 2 Digit Numbers Using the Traditional Algorithm (4.NBT.3, 4.NBT.5) In this lesson 1) Review yesterday’s concept and homework. 2) Introduce an application problem to engage students and to see what strategies they use to solve it. 3) Discuss how students solved the problem and then ask students if they think 2 x 2 problems could be solved using the traditional method – listen to their ideas about how it would look. Start with an example of the expanded algorithm students have worked with – beside it, walk through the steps of the traditional algorithm with the same problem and discuss with students how the two are related. Work through several examples with students. 4) Class work – Independent Practice/Problem Solving pages 194 and 195 (odd) 5) Debrief/Summarizing – Discuss students’ work. 6) Homework – Reteaching 8-4 Wednesday, November 13: Multiplying 2 Digit Numbers Using the Traditional Algorithm (4.NBT.3, 4.NBT.5) In this lesson – 1) Review yesterday’s concept and homework. 2) Introduce an application problem to engage students and to monitor students’ progress. 3) Discuss the strategies students used to solve the problem. Review the steps of the traditional multiplication algorithm – explain to students that today they are going to be practicing this algorithm to improve their fluency with it. Work through several examples with students, reminding students to first estimate the product before solving for it. 4) Class work – Independent Practice/Problem Solving pages 194 and 195 (even) 5) Debrief/Summarizing – Discuss students’ work. 6) Homework – Practice 8-4 Thursday, November 14: Multiplying 2 Digit Numbers Using Compensation with Doubling and Halving (4.NBT.3, 4.NBT.5) In this lesson – 1) Review yesterday’s concept and homework. 2) Introduce an application problem (such as 5 x 16) to engage students and to observe what methods they try. 3) Discuss students’ strategies and then ask students what they remember about the compensation strategy. Tell students that another way to compensate and make problems easier is by doubling and halving (see link below) – discuss how doubling and halving are the inverses of each other. Do several examples with students. 4) Class work – Doubling and Halving Examples 5) Debrief/Summarizing – Discuss students’ work. 6) Homework – More Doubling and Halving Word Problems Friday, November 15: Solving Multi-Step Multiplication Problems (4.NBT.3, 4.NBT.5, 4.OA.3) In this lesson 1) Review yesterday’s concept and homework. 2) Introduce a multi-step application problem to engage students and to see how students tackle the problem. 3) Discuss the strategies students used to solve the problem – if no one brings it up, introduce the idea of hidden questions (questions you need to answer before you can answer the question the problem asks). Look at several examples with students and discuss strategies for solving them. 4) Class work – Reteaching 7-5 or Practice 7-5 5) Debrief/Summarizing – Discuss students’ work. Additional Resources: Doubling and Halving (http://www.k-5mathteachingresources.com/support-files/multiplicationstrategy-doubling-and-halving.pdf)