1. 4 th Grade Math Learning Objective: We will determine all factor pairs of a number. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview Focus Standard:4.OA.4 Find all factor pairs for a whole number in the range of 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite. Support Standard:SMP 1, SMP 2, SMP 3, SMP 6 Prerequisite(s):3.OA.7 Fluently multiply and divide within 100, using strategies 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. Manipulative(s): Special Instructions: A whiteboard insert for the list of numbers animated alongside the student work is available in a separate file. Vocabulary Academic:determine, interpret Content:factor pair, factor, product Support:reversed Common Core Shifts in Mathematics Shift 1 Focus Shift 2 Coherence Shift 3 Fluency Shift 4 Deep Understanding Shift 5 Application Shift 6 Dual Intensity Standards for Mathematical Practice (SMPs) SMP1 Make sense of problems SMP2 Reason abstractly and quantitatively SMP3 Construct arguments and critique the reasoning of others SMP4 Model with math SMP5 Use appropriate tools SMP6 Attend to precision SMP7 Make use of structure SMP8 Look for regularity in repeated reasoning

2. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Find all factor pairs for a whole number in the range of 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite. Lesson to be used by EDI-trained teachers only. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. What are we going to do? What does determine mean? Determine means __________. CFU Students, the numbers used in a multiplication problem are called factors and the answer is called a product. Now, we will determine all factor pairs of a number or product. Make Connection 1 figure out Vocabulary We will determine 1 all factor pairs of a number. Learning Objective Activate Prior Knowledge A factor is a number used in a multiplication problem. A product is the answer to a multiplication problem. Underline the factors. Circle the product. Multiplication Problem

3. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. ProductFactor Pairs 8 1 and 8 2 and 4 12 1 and 12 2 and 6 3 and 4 19 1 and 19 A factor pair is two factors that multiply to get the same product. A list of numbers can be used to determine factor pairs. Why is 9 and 1 a factor pair of 9? Explain your answer. In your own words, what is a factor pair? “A factor pair is ______________.” CFU Factor Pairs Concept Development 8 1 2 6 4 5 3 7 8 9 1 x 8 2 x 4 4 x 2 8 x 1 10

4. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Determine if each number 1-10 is a factor. Hint: Use the list of numbers. Stop early if a factor pair is reversed 2 or if factors are the same numbers. List all factor pairs. (write) Interpret 3 the factor pairs. “The factor pairs for the product _____ is _____.” Determine all factor pairs of a number. 1 a 2 2 change the order of two things 3 explain Vocabulary How did I/you determine if each number 1-10 is a factor? How did I/you interpret the factor pairs? CFU 1 3 Skill Development/Guided Practice Application There are 15 students in the marching band. List the possible ways the band can line up in rows. T: ________________________________________________________________ There are 14 students going to the zoo. List the possible ways the students can be grouped. S: _______________________________________________________________ 1 15 2 14 3 13 4 17 1 and 15 3 and 5 A factor pair is two factors that multiply to get the same product. A list of numbers can be used to determine factor pairs. 3 15 1 x 15 3 x 5 5 x 3 14 1 x 14 2 x 7 7 x 2 13 1 x 13 17 1 x 17 1 and 14 2 and 7 1 and 13 1 and 17 The band can line up in 1 group with 15 students; 3 groups with 5 students; 5 groups with 3 students in each group. The students can be grouped in 1 group with 14 students; 2 groups with 7 students; 7 groups with 2 students in each group. List of numbers

5. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Application There are 16 marbles. List the possible ways the marbles can be grouped. T: ________________________________________________________________ There are 30 students in the classroom. List some possible ways the students can be grouped to sit together. S: ________________________________________________________ 5 36 6 16 7 30 8 40 Skill Development/Guided Practice (continued) 36 1 x 36 2 x 18 4 x 9 16 1 x 16 2 x 8 4 x 4 30 1 x 30 5 x 6 40 1 x 40 8 x 5 1 and 36 2 and 18 4 and 9 6 and 6 1 and 16 2 and 8 4 and 4 1 and 30 2 and 15 3 and 10 5 and 6 1 and 40 2 and 20 4 and 10 5 and 8 6 x 6 2 x 15 3 x 10 6 x 5 2 x 20 4 x 10 5 x 8 The 16 marbles can be grouped: 1 group with 16 marbles in each group; 2 groups with 8 marbles; 8 groups with 2 marbles or 4 groups of 4 marbles The students can be grouped in 1 group with 30 students; 2 groups with15 students; 15 groups with 2 students; 3 groups with 10 students; 5 groups with 6 students 3 and 12 3 x 12 Determine if each number 1-10 is a factor. Hint: Use the list of numbers. Stop early if a factor pair is reversed or if factors are the same numbers. List all factor pairs. (write) Interpret the factor pairs. “The factor pairs for the product _____ is _____.” Determine all factor pairs of a number. 1 a 2 How did I/you determine if each number 1-10 is a factor? How did I/you interpret the factor pairs? CFU 1 3 3 A factor pair is two factors that multiply to get the same product. A list of numbers can be used to determine factor pairs. List of numbers

6. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 2 1 3 4 5 Elise and Juan have 36 grapes. They are going to put an equal number of them into bags. Elise says that they can put 6 grapes into 6 bags. Daniel thinks that there are more ways to put equal numbers of grapes into bags. Describe one way that they could put an equal number of grapes into bags. Adolfo and Greta have 72 apples. They are going to put an equal number of them into boxes. Adolfo says that they can put 8 apples into 9 boxes or 9 apples into 8 boxes. Greta thinks that there are more ways to put equal numbers of apples into boxes. Describe one way that they could put an equal number of apples into boxes. They could put 3 grapes into 12 bags. (answers may vary) They could put 4 apples into 18 boxes. (answers may vary)

7. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Determining all factor pairs of a number will help you add and subtract fractions. Determining all factor pairs of a number will help you do well on tests. 1 Does anyone else have another reason why it is relevant to determine all factor pairs of a number? (Pair-Share) Why is it relevant to determine all factor pairs of a number? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Sample Test Question: 51. Ming is having an individual dance contest at her birthday party. If there are 16 dancers, how many different even groupings can she make? A 4 different groupings B 5 different groupings C 6 different groupings D 16 different groupings Relevance To add or subtract fractions, you must find the common denominators by using factors. 2 5 1 2   4 10 5 9   A factor pair is two factors that multiply to get the same product. A list of numbers can be used to determine factor pairs.

8. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. What did you learn today about determining all factor pairs of a number? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure 1 12 2525 Diego is having a birthday party. He is setting up the tables and chairs. Find the best way to set up the chairs evenly among the tables. He has 24 chairs. If he wants the same number of chairs at each table, how many tables do you think he should use? Why? 3 1 and 12 2 and 6 3 and 4 1 and 5 12 1 x 12 2 x 6 3 x 4 4 x 3 5 1 x 5 Word Bank factor pair reversed product determine A factor pair is two factors that multiply to get the same product. A list of numbers can be used to determine factor pairs. 5 x 1 Determine if each number 1-10 is a factor. Hint: Use the list of numbers. Stop early if a factor pair is reversed or if factors are the same numbers. List all factor pairs. (write) Interpret the factor pairs. “The factor pairs for the product _____ is _____.” Determine all factor pairs of a number. 1 1a 2 Diego should use 3 tables with 8 chairs because that is a good number of people at one table. (answers will vary)

9. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Independent Practice Application There is a fire drill at school today. There are 35 students in 4 th grade. List the possible ways the students can line up. S: ________________________________________________________________________________________________________________________________ 1 35 2 23 3 25 4 18 Determine if each number 1-10 is a factor. Hint: Use the list of numbers. Stop early if a factor pair is reversed or if factors are the same numbers. List all factor pairs. (write) Interpret the factor pairs. “The factor pairs for the product _____ is _____.” Determine all factor pairs of a number. 1 1a 2 3 35 1 x 35 5 x 7 7 x 5 1 and 35 5 and 7 23 1 x 23 1 and 23 25 1 x 25 5 x 5 1 and 25 5 and 5 18 1 x 18 2 x 9 3 x 6 6 x 3 1 and 18 2 and 9 3 and 6 The students can line up by: 1 group with 35 students, 5 groups with 7 students; 7 groups with 5 students in each line. A factor pair is two factors that multiply to get the same product. A list of numbers can be used to determine factor pairs.

10. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Access Common Core 1. 31 2. 27 3. 40 4. 32 The four-legged water creatures, six-legged water creatures, and eight-legged water creatures are having a contest to create a group with 24 total legs, so they can win the swimming race. 1.How many four-legged water creatures are needed to make a group with 24 legs? 2.How many six-legged water creatures are needed to make a group of 24 legs? 3.How many eight-legged water creatures are needed to make a group of 24 legs? Determine all the factor pairs for the numbers below. 1 and 31 1 and 27 1 and 40 2 and 20 4 and 10 5 and 8 1 and 32 2 and 16 4 and 8 Six of these animals would be needed to have 24 legs. Four of these animals would be needed to have 24 legs. Three of these animals would be needed to have 24 legs.

11. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Access Common Core 1. 42 2. 49 There is a total of 40 students on a class field trip. Choose Yes or No to decide if the students can be grouped together in the given ways. YesNo 1.Eight groups with five students in each group 2.1 x 40 3.. 4. Nine groups with four students in each group YesNo Determine all the factor pairs for the numbers below. 1 and 42 2 and 21 6 and 7 1 and 49 7 and 7 3 and 14

12. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Access Common Core 1. 51 2. 54 The school’s marching band is getting ready for competition. The beginning formation is the most important. If there are 36 students in the marching band, how many different formations could they use? Use factor pairs to list them below. Explain why 36 and 1 would not be the best formation? Determine all the factor pairs for the numbers below. 1 and 51 1 and 54 2 and 27 3 and 18 6 and 9 3 and 17 1 row of 36 2 rows of 18 3 rows of 12 4 rows of 9 6 rows of 6 9 rows of 4 12 rows of 3 18 rows of 2 36 rows of 1 1 row of 36 would be marching in one very wide row. It would be hard for them to turn in formation.

13. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will determine factor pairs of numbers. Elaboration Targeted Vocabulary Academic determine, interpret Content factor pair, factor, product Support reverse Demonstration Vocabulary Strategy Multiple-Meaning Synonym Definition determine, factor, product, factor pair, reverse, interpret Homophone Internal Context Clue Listen, Speak Similar Sounds WriteWriting Read Tracked Reading Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures Language Strategies Cognitive StrategiesTeaching Strategies Content Access Strategies

14. ©2013 All rights reserved. CCSS 4 th Grade Operations and Algebraic Thinking 4.1 Determine all factor pairs of a number. Lesson to be used by EDI-trained teachers only. Blank Page