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2 III. IV. BACKGROUND KNOWLEDGE A. For Teachers 1. Goldish, Meish. Making Multiplication Easy. New York City, NY: Scholastic Inc ISBN Miller, M., & Lee, M. The Mega-Fun Multiplication Facts Activity Book. New York City, NY: Scholastic Inc ISBN Wickelgren, W.A. & Wickelgren, I. Math Coach. New York City, NY: Berkley Books, IBSN B. For Students- from Core Knowledge Sequence Second Grad (page 57) 1. Recognize the times sign (x). 2. Know what factor and product mean. 3. Understand that you can multiply numbers in any order (commutative property). 4. Know what happens when you multiply by 0, 1 and 2. RESOURCES A. Poster(s) of a multiplication chart B. Book: Pallotta, Jerry. The Hershey s Milk Chocolate Multiplication Book. New York City, NY: Scholastic Inc., IBSN C. Book: McGrath, Barbara B. More M&M s Math. Watertown, MA: Charlesbridge Publishing, IBSN V. LESSONS Lesson One: Making Sets A. Daily Objectives 1. Concept Objective(s) a. Understands and applies basic and/or advanced properties of number sense in multiplication. (CS1) 2. Lesson Content a. Master basic multiplication facts to 10x10 3. Skill Objective(s) a. The students will be able to arrange objects in sets when given a multiplication fact. b. The students will be able to arrange objects in sets to demonstrate the commutative property. B. Materials 1. M&M s enough for each student (about 25-30) 2. Overhead projector 3. Vis-à-vis pen 4. Pencil and paper 5. Construction paper 8 x 11 (one per student) 6. Book: More M&M s Math 7. Book: The Hershey s Milk Chocolate Multiplication Book 8. Appendix A - one transparency 9. Chart paper to list vocabulary words 10. Black marker C. Key Vocabulary 1. Set - a group of objects 2. Commutative property - the property of multiplication which states numbers can be multiplied in any order Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 2

11 The first student will recite each problem orally with the answers. If an answer is wrong the second student will correct him, using the answer key if needed. Then the first student needs to begin again three problems back. The goal is 100% correct recitation of the facts. Then the partners will switch places; so each one has a chance to be quizzed and to quiz. E. Assessment/Evaluation 1. The students will have a worksheet on 3x6, 3x7, 3x8, 4x7, 4x8 (Appendix Q). Collect and grade. Lesson Ten: Solving Word Problems Involving Multiplication A. Daily Objectives 1. Concept Objective(s) a. Develops an awareness of how to use multiplication in problem-solving situations and communicate the reasoning used in solving these problems. (CS6) 2. Lesson Content a. Solve word problems involving multiplication. 3. Skill Objective(s) a. The students will be able to use the multiplication facts they have learned to create and solve word problems. B. Materials 1. Chart paper 2. Markers 3. Appendix R - one per student 4. Pictures or comic strips that contain multiple groups. 5. Paper and pencil 6. Construction paper 18 x 24 - one per student C. Key Vocabulary None D. Procedures/Activities 1. Now that the students have learned strategies for their multiplication facts, put their new knowledge to work in creating and solving word problems. 2. Assign the students to create their own word problems involving multiplication facts. First, model an example to them. For instance, you have four horses that eat two bales of hay a day. How many bales do they eat over seven days? (fourteen bales) Encourage the children to be as creative as possible. Show them fun pictures or funny cartoons that contain multiple groups. 3. Divide the students into groups of three or four. In the groups have them brainstorm ideas for their story situations that would involve multiplication. Have one student in each group record these ideas on chart paper. A second student from each group can share about these ideas with the whole class. 4. Then each student needs to choose one of the ideas and write a short story problem based on a multiplication fact(s). Have them illustrate this problem in comic strip form (Appendix R). 5. Give the students time to be creative and thorough. This could involve a rough draft and final copy. Be sure to share the rubric criteria with the students. 6. Let the students have plenty of time for sharing. E. Assessment/Evaluation 1. Rubric for evaluation of their multiplication comic strip (Appendix S). Collect and rubric. Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 11

12 VI. VII. HANDOUTS/WORKSHEETS A. Appendix A: Sets B. Appendix B: Quiz over 0 s, 1 s, & 2 s C. Appendix C: A Rule for the Fives D. Appendix D: Practice Worksheet for the Fives E. Appendix E: Multiplication of the 5 s F. Appendix F: A Handy Trick for the 9 s G. Appendix G: Multiplication of the 9 s H. Appendix H: Multiplication Chart for Like Numbers I. Appendix I: Multiplication of Like Numbers J. Appendix J: Multiplication Bingo for Numbers that are One Apart K. Appendix K: Multiplication if Numbers that are One Apart L. Appendix L: Review Quiz M. Appendix M: Multiplication of Numbers that are Two Apart N. Appendix N: Multiplication Relay for Numbers that are One Apart and Two Apart O. Appendix O: Review Drill Sheet P. Appendix P: Review Drill Answer Sheet Q. Appendix Q: Multiplication of Five Final Facts R. Appendix R: Multiple Group Comic Strip S. Appendix S: Rubric for Multiplication Comic Strip BIBLIOGRAPHY A. Crawford, Donald B. Mastering Math Facts In Your 1-8 Classroom. Eau Claire, WI: Otter Creek Institute, B. Goldish, Meish. Making Multiplication Easy. New York City, NY: Scholastic Inc ISBN C. McGrath, Barbara B. More M&M s Math. Watertown, MA: Charlesbridge Publishing, IBSN D. Miller, M., & Lee, M. The Mega-Fun Multiplication Facts Activity Book. New York City, NY: Scholastic Inc., ISBN E. Pallotta, Jerry. The Hershey s Milk Chocolate Multiplication Book. New York City, NY: Scholastic Inc., IBSN F. Wickelgren, W.A. & Wickelgren, I. Math Coach. New York City, NY: Berkley Books, IBSN Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 12

13 Appendix A Sets Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 13

14 Appendix B Quiz over 0 s, 1 s & 2 s Name x 2 x 0 x 1 x 0 x 1 x x 2 x 0 x 1 x 2 x 1 x x 2 x 1 x 2 x 0 x 2 x Total Correct x 0 x 2 Total Problems Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 14

15 Appendix C Adapted from Making Multiplication Easy by Meish Goldish A Rule for the Fives A good rule for the fives is: Five times an odd number will end in five; five times an even number will end in zero. On the overhead we will demonstrate how separating the odds from the evens works. The odds pattern: x 5 x 5 x 5 x 5 x The evens pattern: x 5 x 5 x 5 x 5 x Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 15

16 Starting with heart 5, write the numbers of the x5 family in order. Appendix D Practice Worksheet for the Fives 5 Fill in the table with the correct products. X Draw a circle around the eight numbers that are NOT members of the x5 family Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 16

17 Appendix E Multiplication of the 5 s Name x 5 x 5 x 5 x 5 x 5 x x 5 x 5 x 5 x 5 x 5 x x 5 x 5 x5 x 5 x 5 x x 2= x 6= x 10= x 8= x 4= x 9= Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 17

18 Appendix F A Handy Trick for the 9 s Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 18

19 Appendix G Multiplication of the 9 s Name x 9 x 9 x 9 x 9 x 9 x x 9 x 9 x 9 x 9 x 9 x x 9 x 9 x9 x 9 x 9 x x 2= x 6= x 10= x 8= x 4= x 9= Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 19

20 Appendix H Multiplication Chart for Like Numbers X Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 20

21 Appendix I Multiplication of Like Numbers Name x 1 x 2 x 9 x 5 x 8 x x 7 x 9 x 3 x 6 x 2 x x 5 x 9 x8 x 4 x 3 x x 2= x 6= x 10= x 8= x 4= x 9= Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 21

22 Appendix J Multiplication Bingo for Numbers that are One Apart Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 22

23 Appendix K Multiplication of Numbers that are One Apart Name x 3 x 5 x 5 x 7 x 9 x x 8 x 8 x 4 x 5 x 7 x x 4 x 8 x7 x 5 x 2 x x 2= x 6= x 10= x 8= x 4= x 9= Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 23

24 Appendix L Review Quiz Name x 5 x 2 x 5 x 5 x 7 x x 7 x 2 x 4 x10 x 5 x x 5 x 8 x 9 x 9 x 2 x x 2= x 6= x 10= x 8= x 9= x 10= Total Correct x 8= Total Problems Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 24

25 Appendix M Multiplication of Numbers that are Two Apart Name x 5 x 4 x 5 x 3 x 6 x x 9 x 7 x 5 x 4 x 2 x x 7 x 9 x 8 x 2 x 5 x x 7= x 3= x 6= x 8= x 4= x 9= Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 25

26 Appendix N Multiplication Relay for Numbers that are One Apart and Two Apart x 4 x 7 x 0 x 2 x 3 x x 4 x 7 x 2 x 8 x 5 x x 3 x 4 x 3 x 5 x 8 x 6 Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 26

27 Appendix O Review Drill Sheet x 7 x 3 x 8 x 7 x 4 x x 4 x 6 x 7 x 8 x 8 x x 3 x 8 x 3 x 7 x 7 x 6 Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 27

28 Appendix P Review Drill Answer Sheet x 7 x 3 x 8 x 7 x 4 x x 4 x 6 x 7 x 8 x 8 x x 3 x 8 x 3 x 7 x 7 x Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 28

29 Appendix Q Multiplication of Five Final Facts Name x 7 x 3 x 8 x 7 x 4 x x 4 x 6 x 7 x 8 x 8 x x 3 x 8 x 3 x 7 x 7 x x 7= x 3= x 8= x 6= x 3= x 8= Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 29

30 Appendix R Multiple Group Comic Strip Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 30

31 Appendix S Rubric for Multiplication Comic Strip Five points per criteria 25 points total Multiplication problem stated clearly Answer is clearly given Creativity Spelling Six cartoon blocks included Total Third Grade, M & M: Multiplication Madness 2002 Colorado Summer Writing Institute 31

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