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Fourth Grade- Unit 2 Everyday Math Unit 3. Unit 3 Multiplication and Division; Number Sentences. 4 th Grade-Unit 2 (EM3 ) Notes. *no calculators *Problem solving 1/week *Read/write to million *calculations to 100,000
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Fourth Grade- Unit 2Everyday Math Unit 3 Unit 3 Multiplication and Division; Number Sentences
4th Grade-Unit 2 (EM3 ) Notes • *no calculators • *Problem solving 1/week • *Read/write to million *calculations to 100,000 • *DO NOT USE THE WORD BALLPARK * instead of timed fact tests we strongly suggest doing a “running record” of x facts. ALWAYS do the readiness first • Use doc camera to show examples or base 10 blocks • * GAMES ARE TO BE PLAYED AND SUPERVISED EVERYDAY!!*
3.1 What’s My Rule: Function Machine Common Core Focus 4.OA5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way. Lesson • -Readiness • -Mental Math and Reflexes • -Math Message • -Part 1 • -Enrichment • -Math Box no 2,4 • -Homelink Notes • In part 1 have students explain in writing their thinking in a notebook. Ex. Since the rule was -80 and I knew the out number, to solve I had to turn around and +80
Use Patterns To Solve Problems Johnny is saving money to buy a new toy for $60. He has $15 saved. He earns $7 a week mowing his neighbor’s lawn. How many weeks will he have to work to save enough money to buy his new toy? Mary has 32 tickets for the carnival. Each ride costs 5 tickets. How many tickets will she have left after 4 rides?
Functions and Patterns Rule: # of sides = # of triangles x _3__ Bar Model Bar Model Number Model S=2x3 S=6 Number Model S=3x3 S=9
Functions and Patterns Bar Model Number Model S=___x ___ S=_____ Rule: # of sides = # of triangles x ___ Bar Model Number Model S=___x ___ S=_____ Rule: # of sides= # of rectangles x ___
Functions and Patterns Bar Model Number Model S=___x ___ S=_____ Rule: # of sides = # of pentagons x ____ Bar Model Number Model S=___x ___ S=_____ Rule: # of sides= # of hexagons x ___
Each ____________ has _________________________ Rule: # of ___________= # of ____________x________ Bar Model
3.2 Multiplication Facts Common Core Focus • 4.oa.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. • 4.oa.4. Find all factor pairs for a whole number in the range 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 • -Readiness- do first • -Mental Math and Reflexes • -Math Message • -Part 1 • -Part 2 • -Math Box no 3,4,5 Notes • Refer to chart as a “factor table/multiples table” NOT x table.
Learning Multiplication Facts COUNTING Identity Property MultiplES SKIP COUNTING Commutative Property TURN AROUND FACTS Distributive Property PARTS AND WHOLES
Identity PropertyJust Count! 1 group of 6 has 6 1x6=6 6 groups of 1 have 6 6x1=6 • This means that you can multiply 1 to any number... and it keeps its identity! The number stays the same! • 1x8=8 8x1=8 1x67=67 67x1=67 • 1x234=234 234x1=234
Identity Property 1 group of objects is the same as the number of objects 1 group of 5=5 1x5=5
Commutative Property(Addition Turn Around Facts) 10 7+3 = 3+7
Commutative Property(Multipication Turn Around Facts) 18 3x6 = 6x3
Distributive Property 5+2=7 5x2=10 2x2=4 5x2=10 2x2= 4 7x2=14
Distributive Property 7 X 12 10 + 2 7 x (10+2) (7 x 10) + (7 x 2)
9 Facts What do you notice about the digits? _____________________ _____________________ _____________________ _____________________ _____________________ Why do you think that happens? ____________________ ____________________ ____________________ ____________________ ____________________
Solving Problems By Knowing How Numbers Are Connected • What do you notice about the how the numbers are changing?
Solving Problems By Knowing How Numbers Are Connected • What do you notice about the how the numbers are changing?
Solving Problems By Knowing How Numbers Are Connected 2 x 5 = 1 x 10 4 x5 = 2 x 10 x 5 = x 10 x 5 = x 10
Solving Problems By Knowing How Numbers Are Connected • Based on what you discovered from the number beads, explain how you can use numbers that are connected to solve multiplication problems. Remember to explain the ‘rule’ and give an example. _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Arrays, Number Models and Bar Models Array 6 3 Number Model 3x6=18 Bar Model
Arrays, Number Models and Bar Models Array 3 6 Number Model 6x3=18 Bar Model
Multiplication Bar Modeling(Factors and Products) Number Model: _____________x_____________=_____________
2 x____=____ 3x____=___ 4x____=____ 5x____=____ 6x____=____ 7 x____=____ 8 x____=____ 9x____=____ 10 x____=____
x2 x3 x4
x5 x6 x7
x8 x9 x10
3.2b Discovering Prime and Composite Common Core Focus • 4.oa.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. • 4.oa.4. Find all factor pairs for a whole number in the range 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 • Prime/Composite Numbers • -Enrichment from 3.2- MM 77 • - INSERT project 1 from Grade 5- make sure each child has 8 different colored pencils • -Study link 3.2 Notes • Insert guided/independent practice for Prime/composite numbers • With project- notice the #’s that have more than 1 factor- keep paper in their folders for reference
Prime and Composite Numbers • Create all the possible arrays for:_____________
3.2c Factors (Grade 5- 1.4) Common Core Focus • 4.oa.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. • 4.oa.4. Find all factor pairs for a whole number in the range 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 • Readiness: Fact Families: Use 3 questions to write in notebooks • Mental Math and Reflexes • Message • Part 1 • Part 2 • NO boxes • Homelink: use! Notes • Teach and Play Factor Captor
2 x____=____ 3x____=___ 4x____=____ 5x____=____ 6x____=____ 7 x____=____ 8 x____=____ 9x____=____ 10 x____=____
3.2d Prime and Composite Numbers (1.6 from Grade 5) Common Core Focus • 4.oa.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. • 4.oa.4. Find all factor pairs for a whole number in the range 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 • Mental Math and Reflexes • -Math Message • -Part 1 • (NO pt 2,) • Boxes No 1 • - Homelink1.6 Notes