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Subject: Math Essential Questions (DOK) How can estimation and mental strategies be used to find some products? Grade: 4th Essential Questions (DOK) How can estimation and mental strategies be used to find some products? Week of: September 22-26 Essential Questions (DOK) How can estimation and mental strategies be used to find some products? Essential Questions (DOK) How can estimation and mental strategies be used to find some products? Essential Questions (DOK) How can estimation and mental strategies be used to find some products? Direct Vocabulary Instruction Direct Vocabulary Instruction Direct Vocabulary Instruction Direct Vocabulary Instruction Direct Vocabulary Instruction Factor, Product, Commutative property, Associative property, Distributive property, Inverse, multiplicand, multiplier, multiples, partial products, area model, array model Standard MCC4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. MCC4.OA.3 Solve multistep word problems posed with whole numbers and having wholenumber answers 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. Activating Strategy Math Prompt Standard MCC4.NBT.5 Multiply a whole number of up to four digits by a onedigit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. MCC4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers 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. Activating Strategy Number Talk Standard MCC4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. MCC4.OA.3 Solve multistep word problems posed with whole numbers and having wholenumber answers 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. Activating Strategy Math Prompt Standard MCC4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. MCC4.OA.3 Solve multistep word problems posed with whole numbers and having wholenumber answers 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. Activating Strategy Number Talk Standard MCC4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. MCC4.OA.3 Solve multistep word problems posed with whole numbers and having wholenumber answers 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. Activating Strategy Math Prompt Cognitive Strategy Using base-ten blocks, model the following problem to students: 3 x 27 At their desks, have students Cognitive Strategy Play the Learnzillion video on using area models to multiply: https://learnzillion.com/lessons/1876use-area-models-to-show- Cognitive Strategy Walk through problems 1-4 with students on the Area Model Multiplication sheet. Have students use the language [partial Cognitive Strategy Discuss with students how we have been using area models to solve multiplication problems that include multi-digit numbers. Cognitive Strategy Have students create a strategy poster for multiplying multi-digit numbers. Students should fold a piece of computer paper in to Subject: Math model the following problems as you rotate to check for understanding. 2 x 46 480 x 3 3 x 1361 *Be sure to use the language: __ groups of ___ when introducing the problems. For each problem, ask the students if they see other groupings. Share. Ask students to share their strategies using the base-ten blocks. Try to pull it back to the distributive property that we learned last week. We want students to see that we can split the factors to make multiplication easier. Explain to students that we will be learning different strategies to help us multiply multi-digit numbers. Grade: 4th multiplication-of-whole-numbers Week of: September 22-26 products, place value, etc] as they explain their thinking. Have students discuss why using area models are more efficient than arrays when doing multi-digit numbers [i.e.: it isn’t as time consuming because you’re not drawing all those dots. You are less likely to make a mistake because array’s require you to draw the correct amount of items]. Using an example from the Area Model Multiplication sheet, have students brainstorm a way to solve the problem using partial sums without drawing a model. Discuss their strategies. Give students page 168 from the interactive notebook. Solve together, making sure students are using the language of place value. Give the top half of pg 159 in the Interactive notebook to students. Model the problem [8 x 54] on the board using an area model. Have students complete on their notes. Then have students complete an area model for: 2 x 32, 5 x 613, and 7 x 5641. fours. They should write their problem in the middle [or you can write it for them]. Students should model their problem in the following ways: Area model Partial Product Base ten blocks [drawing] Distributive Property **See strategy poster handout Once the students seem comfortably with the area model, ask them to solve this problem using an area model: 23 x 45. Let them think about it by themselves and then turn to a partner to discuss. Use the other half of page 159 to model the problem. Then model the last problem: 68 x 32 Summarizing Strategy P5.3 in student workbook – students may use base-ten blocks to solve. **Be sure to use the terms “partial products” when talking about the products for each square in the area model. This will help scaffold the students in to using the partial product method without the aid of an area model. Summarizing Strategy Have students solve problems 1-10 on page R 5.3 using an area model [they will need additional paper]. Extension/Re-teaching ** Create a class strategy poster for multiplication to hang in the classroom. Extension/Re-teaching Re-teaching: Start at Array Models first [page 155 in the interactive notebook has a flower activity to Summarizing Strategy Students should finish problems 5-10. Summarizing Strategy Complete R 6.1 Summarizing Strategy Share strategy posters. Extension/Re-teaching Extension: Have students come up with a strategy to solve multiplying multi-digits Extension/Re-teaching Complete page p 6.1 for additional practice Extension/Re-teaching Re-teaching: Model a strategy poster on the board and then have students create one. Subject: Math Grade: 4th show various ways to do an array]. Start with 1 by 2 digit numbers and then gradually add more digits. Continue to use manipulatives to model the problems and allow students to use the manipulatives. Assessments P5.3 R5.3 Area Model Multiplication Sheet R6.1 Strategy Poster Week of: September 22-26 without using a drawing. Extension: Have students create a reasonable problem to go with their multiplication problem.