Math 6-8 Lesson Plan (Aligned to CCSSM) Course: _6th grade math CCSS Standard Number(s): _6.NS.4___________ Day: _10 days______ Unit # and Title: _#1 / Foundations of factors to GCF__________________ Block(s)/Period(s): 1 2 3 4 5 6 Unit Essential Question(s): Learning Target(s) “I can statements” How can we generate equivalent expressions? I can identify prime and composite numbers. I can find the prime factorization of a composite number. I can express the prime factorization of a number using exponents. I can find all factors of any given number, less than or equal to 100. I can find the greatest common factor of any two numbers, less than or equal to 100. I can create a list of multiples for any number less than or equal to 12. I can find the least common multiple of any two numbers, less than or equal to 12. I can determine whether to use LCM or GCF and use it to solve a problem. Essential Vocabulary Resources and Materials Base, composite, equivalent expression, exponent, factor, factor tree, greatest common factor, least common multiple, numerical expression, prime, prime factorization, product, simplify Teacher Student Glencoe mathematics course 1 textbook, practice skills and study guide intervention, 5 minute check, finish line mathematics 6 CCSS, mastermind riddles, math workbook 7, Daily math practice 6, factor grid- color my factors Journal, paper, pencils, color pencils, red pens, ruler, multiplication chart, 2 page protectors, worksheets provided by teacher 8 Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. Activating Strategy (Opening Activity) Cognitive Teaching Strategies Me/We/Few/You (TIP-Teacher input SAP-Student actively participates GP – Guided Practice IP-Independent Practice) 5. 6. 7. 8. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Color me factors - hundreds board. Students will identify prime, composite, and neither numbers on the graphic organizer. Factors from 1 to 100 will be covered. Students will learn about patterns of numbers, divisibility rules, prime factorization, exponents, perfect squares, GCF, and LCM. Students will do Warm Up – Week 1 and 2 from Daily Math Practice Warm up will be reviewed with class by students giving answers for tickets. Me/We/Pair/Group/You Day 1- Pre-assessment (You - student) Day 2 & 3 – filling out the “Color Me Factor” graphic organizer (Group) Me: Teacher will review the previous homework assignment on factors. We: Teacher will give each student the color me factor worksheet. As a class, students will complete the 1st 2 rows. Few: Students will complete the 3rd row with a partner. You: Student will complete the last row individually. Teacher will facilitate the activity will students work in groups/ pairs/ and individually. Math 6-8 Lesson Plan (Aligned to CCSSM) Day 4 – Prime & Composite Numbers Me: teacher will provide students with notes on Prime and Composite numbers: What is a prime number? How are prime numbers different from composite numbers? Students will identify all prime numbers from 1 to 100, which will leave the Composite from 1 to 100. Few: Group- do math 7 workbook pg. 25 Few: Pairs -Study Guide Intervention 1-3 all Me: teacher will facilitate students responses by circulating the room Day 5 – Prime Factorization Me: teacher will give students guided notes on prime factorization. WE – Students will work on Glencoe Crs 1. Practice Skills 1-3 # 1-12 using “Color Me Factor” GO individually Me: Display a composite number using a factor tree to find the prime factorization. In your Kagan group do - math 7 workbook pg. 24 Day 6 – Exponents You: Students will turn in week #1 warm-up Me: Teacher will assist students with guided notes from On Core Mathematics Section 3-1. Explore 1 Few: Pair (face partners) do “Try this!” pg. 59 # 1a to 1h. Me: Teacher will assist students with guided notes from On Core Mathematics Section 3-1, Example 2 pg. 60 using exponents to write expressions & Example 3 pg. 61 finding the value of a power Few: Kagan Group – Example 4 pg. 61 Solving problems using exponents Day 7 - Greatest Common Factors – GCF Me: teacher will explain how to find greatest common factors by using Color Me Factor GO, listing, and from Prime factorization (factor tree) by the use of teacher Provided notes. Few: Pairs (shoulder partners) students will work out examples 1 and 2 with teacher Facilitating pairs. Groups (Kagan) students will share answers with groups and see if answers are the same. Group member # _____ will answer questions to post up in room. Day 8 – Least Common Multiples – LCM Me: Teacher will facilitate group discussion on the difference between factors and multiples. An example of each will be placed on the board for students to investigate. We: Class do lesson 1-7 from On Core pg. 27 – 28. You: students will work out Practice 28 individually. Day 9 - Review / Reflection Day Me: Students will be provided with a study guide for the assessment given on Day 10 We: students will choose group to work in for the review We: class will participate in Jeopardy game to review for the test. Day 10 – Assessment #1 You: Students will turn in week #2 warm-up Me: teacher will provide students with assessment. Students must show all work on assessments in a neat and orderly fashion. You: When students finish assessment, they are allowed to start on word search vocabulary for the next standard. Math 6-8 Lesson Plan (Aligned to CCSSM) Summarizing Strategy (Closing Activity) Students will review daily vocabulary words associated with each section by providing displaying examples in their journals. Students will also answer a 5 minute check session that corresponds with each lesson in their journal as ticket out the door. Assessment/Homework Day 1 – (Pre-assessment) word search for essential vocabulary Day 2 - (Color Me Factor) worksheet – King Tut’s Factor Pyramids – Level 1/2 pg. 14/15 (master mind riddles) Day 3 – (Color Me Factor completed) worksheet – factor pairs pg. 22 (math workbook 7) Day 5 – (Prime Factorization) Finish PS 1-3 pg. 3 #13 – 24 Day 6 – (Exponents) On Core Exponents 3-1 pg. 62 Practice all Day 7 – (Greatest Common Factors) On Core GCF 1-6 pg. 26 Practice all Day 8 – (Least Common Factors) Math workbook 7 pg. 26 Review GCF & LCM. Day 9 – (Review) Review vocabulary and math concepts from day 2 – 8 Day 10 – (Assessment) start on new vocabulary Extending/Refining Math 6-8 Lesson Plan (Aligned to CCSSM) Color Factors Board Step 1: Give each student a Color Factors Board with factors already provided Step 2: Direct students to place a circle around all numbers without factors established in the boxes, EXCEPT the number 1 – (this identifies all prime numbers – all numbers without a circle are composite) Step 3: Direct students to place a large star in the box for the number 1 – (1 is neither prime nor composite) Step 4: Direct students to identify any box with a set of factors that is written twice by placing a square around the number. Example, box 4 contains the factors 2 x 2 so place a square around the 4. Step 5: Direct students to color the entire 2 box yellow (lightly) and then color every 2 being multiplied yellow. Step 6: Direct students to color the entire 3 box blue (lightly) and then color every 3 being multiplied blue. Step 7: Direct students to color the entire 4 box pink (lightly) and then color every 4 being multiplied pink. Step 8: Direct students to color the entire 5 box orange (lightly) and then color every 5 being multiplied orange. Step 9: Direct students to color the entire 6 box green (lightly) and then color every 6 being multiplied green. Step 10: Direct students to color the entire 7 box purple (lightly) and then color every 7 being multiplied purple. Step 11: Direct students to color the entire 8 box brown (lightly) and then color every 8 being multiplied brown. Step 12: Direct students to color the entire 9 box red (lightly) and then color every 9 being multiplied red. Math 6-8 Lesson Plan (Aligned to CCSSM) 1 2 3 4 5 2x2 6 7 8 2x3 11 9 2x4 12 13 3x3 14 2x6 3x4 16 17 18 3x7 3x9 29 34 38 39 43 5x7 40 3 x 13 44 2 x 21 3 x 14 6x7 2 x 23 35 2 x 17 2 x 19 47 30 2 x 15 3 x 10 5x6 3 x 11 2 x 18 3 x 12 4x9 6x6 42 5x5 2 x 14 4x7 33 37 25 2 x 12 3x8 4x6 2 x 16 4x8 46 20 24 28 32 41 3x5 2 x 10 4x5 2 x 11 2 x 13 36 19 23 27 31 15 2x9 3x6 22 26 2x5 2x7 2x8 4x4 21 10 2 x 20 4 x 10 5x8 45 2 x 22 4 x 11 48 49 2 x 24 3 x 16 4 x 12 6x8 3 x 15 5x9 50 7x7 2 x 25 5 x 10 Math 6-8 Lesson Plan (Aligned to CCSSM) 51 52 3 x 17 56 53 57 58 63 2 x 31 67 64 68 69 73 77 81 3 x 27 9x9 86 74 78 91 96 2 x 48 2 x 40 4 x 20 5 x 16 8 x 10 85 89 5 x 17 90 2 x 44 4 x 22 8 x 11 93 2 x 46 4 x 23 97 80 84 88 92 3 x 25 5 x 15 2 x 42 3 x 28 4 x 21 6 x 14 7 x 12 3 x 29 7 x 13 75 79 2 x 41 2 x 43 2 x 35 5 x 14 7 x 10 2 x 39 3 x 26 6 x 13 83 87 70 2 x 37 7 x 11 82 5 x 13 3 x 23 2 x 36 3 x 24 4 x 18 6 x 12 8x9 2 x 38 4 x 19 65 2 x 32 4 x 16 8x8 2 x 34 4 x 17 72 76 60 2 x 30 3 x 20 4 x 15 5 x 12 6 x 10 3 x 21 7x9 2 x 33 3 x 22 6 x 11 71 59 5 x 11 2 x 29 62 66 55 2 x 27 3 x 18 6x9 2 x 28 4 x 14 7x8 61 54 2 x 26 4 x 13 2 x 45 3 x 30 5 x 18 6 x 15 9 x 10 94 3 x 31 98 95 2 x 47 99 2 x 49 5 x 19 100 3 x 33 2 x 50 Math 6-8 Lesson Plan (Aligned to CCSSM) 3 x 32 4 x 24 6 x 16 8 x 12 7 x 14 9 x 11 4 x 25 5 x 20 10 x 10