Grade 5 Notes Play supervised games everyday No calculators 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 LOTS of # line work, emphasize these, do not skip Bar models replace ALL situation diagrams ONE additional Problem Solving day per week aside from open response-place as works best for you Some things will be gone next year, remember this is a transition year Doc. camera for demos is very helpful with manipulatives and sharing student work

Lesson 1.1- SRB Intro and Routines Common Core Focus Mathematical Practices Lesson Readiness (Use Counters) MMR: could do on a number line MM Part 1 Part 2 Math Box (tell kids most days we will cross some out, can still try) No hw *Establish routines *Use document camera for demos *Counters, white boards, SRB’s

Lesson 1.1- Mental Math 2*2=_______ 3*6=_______ 4*6=_______ 4*3=_______ 3*3=_______ 7*3=_______ 7*5=_______ 6*9=_______ 6*5=_______ 5*4=_______ 5*5=_______ 9*10=______ 5*12=______ 4*8=_______ 9*9=_______ 7*8=_______

Multiplying Along the Number Line __________x___________=_______

Lesson 1.2- Rectangular Arrays Common Core Focus 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 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.NBT.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm. Lesson MMR MM Part 1 Part 2 Math Box –skip 5 Study link *Strong connection of array models to multiplication in common core

Lesson 1.2- Mental Math ____________

Bar Modeling Number Model: _____________+_____________=_____________

Addition Bar Modeling Number Model: _____________+_____________=_____________

Addition Bar Modeling Number Model: _____________+_____________=_____________

Bar Modeling: Joining Samples Total Amount Unknown # Story The team had 8 runs. They scored 2 more. How many do they have in all? 8+2=x Amount Joined Unknown John has $2 in his piggy bank. He needs $10 to buy the new toy he wants. How much more does he need to save to have enough money? 2+x=10 Initial Amount Unknown Mary added 5 books to her library. Now she has 10 books in her library. How many books did she start with? X+5=10 x 8 2 10 2 x 10 x 5

Initial Amount Unknown Bar Modeling: Joining Total Amount Unknown Picture Amount Joined Unknown Initial Amount Unknown

Initial Amount Unknown Bar Modeling: Joining Total Amount Unknown Number Model Amount Joined Unknown Initial Amount Unknown

Initial Amount Unknown Bar Modeling: Joining Total Amount Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Amount Joined Unknown Initial Amount Unknown

Bar Modeling: Joining- Total Amount Unknown Picture

Bar Modeling: Joining- Total Amount Unknown Number Model

Bar Modeling: Joining- Total Amount Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Joining- Amount Joined Unknown Picture

Bar Modeling: Joining- Amount Joined Unknown Number Model

Bar Modeling: Joining- Amount Joined Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Joining- Initial Amount Unknown Picture

Bar Modeling: Joining- Initial Amount Unknown Number Model

Bar Modeling: Joining- Initial Amount Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Subtraction Bar Modeling Number Model: _____________-_____________=_____________

Subtraction Bar Modeling Number Model: _____________-_____________=_____________

Subtraction Bar Modeling Number Model: _____________-_____________=_____________

Bar Modeling: Separating Amount Remaining Unknown # Story Suzie had $10. She spent $8 on lunch. How much money does she have left over? 10-8=x Amount Separated Unknown John had to read 10 books over the summer. He only has 2 left to read. How many books did he read? 10-x=8 Initial Amount Unknown Jim ate 5 cookies out of the box. He only has 5 left. How many were in the box? X-5=5 10 8 x 10 x 8 x 5

Bar Modeling: Separating Amount Remaining Unknown Picture Amount Separated Unknown Initial Amount Unknown

Bar Modeling: Separating Amount Remaining Unknown Number Model Amount Separated Unknown Initial Amount Unknown

Bar Modeling: Separating Amount Remaining Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Amount Separated Unknown Initial Amount Unknown

Bar Modeling: Separating- Initial Amount Unknown Picture

Bar Modeling: Separating- Initial Amount Unknown Number Model

Bar Modeling: Separating- Initial Amount Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Separating- Amount Remaining Unknown Picture

Bar Modeling: Separating- Amount Remaining Unknown Number Model

Bar Modeling: Separating- Amount Remaining Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Separating- Amount Separated Unknown # Story ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Multiplication Bar Modeling Number Model: _____________x_____________=_____________

Multiplication Bar Modeling Number Model: _____________x_____________=_____________

Multiplication Bar Modeling Number Model: _____________x_____________=_____________

Bar Modeling: Joining Equal Groups (Multiplication) Total Amount Unknown Example Ted has 5 cartons of eggs. Each carton has 12 eggs in it. How many eggs does Ted have? E=12x5 Amount Per Group Unknown Ted bought 4 bags of apples. Altogether, there were 36 apples. How many apples were in each bag? 4xA=36 # of Groups Unknown Picture Ted bought $40 worth of books for his friends. Each book cost $8. How many books did he buy? 40=Bx8 e 12 36 A 40 8 B

Multiplying Along the Number Line Bar Model __________x___________=_______

Bar Modeling: Joining Equal Groups (Multiplication) Total Amount Unknown Picture Amount Per Group Unknown # of Groups Unknown

Bar Modeling: Joining Equal Groups (Multiplication) \ Total Amount Unknown Number Model Amount Per Group Unknown # of Groups Unknown

Bar Modeling: Joining Equal Groups (Multiplication) Total Amount Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Amount Per Group Unknown # of Groups Unknown ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Joining Equal Groups (Multiplication)- Total Amount Unknown Picture

Bar Modeling: Joining Equal Groups (Multiplication) Total Amount Unknown Number Model

Bar Modeling: Joining Equal Groups (Multiplication) Total Amount Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Amount Per Group Unknown Bar Modeling: Joining Equal Groups (Multiplication)- Amount Per Group Unknown Amount Per Group Unknown Picture

Amount Per Group Unknown Bar Modeling: Joining Equal Groups (Multiplication)- Amount Per Group Unknown Amount Per Group Unknown Number Model

Amount Per Group Unknown Bar Modeling: Joining Equal Groups (Multiplication) Amount Per group Unknown Amount Per Group Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Joining Equal Groups (Multiplication)- Number of Groups Unknown Picture Number of Groups Unknown

Number of Groups Unknown Bar Modeling: Joining Equal Groups (Multiplication) Number of Groups Unknown Number of Groups Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Joining Equal Groups (Multiplication)- Number of Groups Unknown Number Model Number of Groups Unknown

Lesson 1.3a- Prime #’s Common Core Focus 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 Project- Sieve of Erathosthenes **Next year will have had in 4th(this is about factors and multiples)

Lesson 1.3b- Factors *Fact fluency sheet *See fact fluency plan* Common Core Focus 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 MMR MM Part 1: replace x fact routine with Fact Fluency 1:1 assessment: -J p 10 *Need to know exactly which facts each kid does not automatically know (may be done throughout the week) *Fact fluency sheet *See fact fluency plan*

Number Models With Two Factors Factor Pairs Number Number Models With Two Factors All Possible Factors

Lesson 1.4- Factors Common Core Focus . 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 MMR MM Part 1 Part 2 Math Box Study link

Finding Factors Product Bar Model Number Models Factors

Bar Modeling: Separating Equal Groups (Division) Amount Per Group Unknown Example Ted has 36 eggs. E=12x5 Ted has 36 apples. He put them into 4 bags. How many apples did he put in each bag? 36=4xA # of Groups Unknown Picture Ted bought $40 worth of books for his friends. Each book cost $8. How many books did he buy? 40=Bx8 36 e 36 A 40 8 B

Bar Modeling: Separating Equal Groups (Division) Total Amount Unknown Picture Amount Per Group Unknown # of Groups Unknown

Bar Modeling: Separating Equal Groups (Division) Total Amount Unknown Number Model Amount Per Group Unknown # of Groups Unknown

Bar Modeling Separating Equal Groups (Division) Total Amount Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Amount Per Group Unknown # of Groups Unknown ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Separating Equal Groups (Division) Total Amount Unknown Picture

Bar Modeling: Separating Equal Groups (Division) Total Amount Unknown Number Model

Bar Modeling: Separating Equal Groups (Division) Total Amount Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Amount Per Group Unknown Bar Modeling: Separating Equal Groups (Division)- Amount Per Group Unknown Amount Per Group Unknown Picture

Amount Per Group Unknown Bar Modeling: Separating Equal Groups (Division)- Amount Per Group Unknown Amount Per Group Unknown Number Model

Amount Per Group Unknown Bar Modeling: Separating Equal Groups (Division)- Amount Per Group Unknown Amount Per Group Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Separating Equal Groups (Division)- Number of Groups Unknown Picture Number of Groups Unknown

Number of Groups Unknown Bar Modeling: Separating Equal Groups (Division)- Number of Groups Unknown Number of Groups Unknown # Story ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Bar Modeling: Separating Equal Groups (Division)- Number of Groups Unknown Number Model Number of Groups Unknown

1.5- Divisibility Common Core Focus 5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Lesson MMR MM Part 1 Part 2 Enrichment: do with everyone with base 10 blocks Math Box –skip 3 Study link **Need to keep coming back to these lessons all year long **Divisibility Rules for 2,3,4,5,6,9,10

Divisibility Rules

1.6 Prime and Composite Numbers (and number line patterns) Common Core Focus 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 MMR MM Part 1 -J pg 18- positive #’s only Part 2 Math Box Study link After this year, students will have had lessons on this. *take the time to teach the strategy to for number line solutions. Subtract begin from end #, divide by # of skips Educreations Video on human number line Line kids up with blank slate boards between kids with numbers (evenly spaced). Discuss strategies for finding unknown numbers.

4 7 10 13 4 16

Lesson 1.7- Square Numbers Common Core Focus 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 MMR MM Part 1 Part 2 Math Box –skip 3 Study link *limit to squares of 1-12; Decade squares (20x20, 30x30)

Squaring Numbers 2 22 2x2=p p=4 2x2=4 Factor Square Open Number Sentence Product Number Model 2 22 2x2=p p=4 2x2=4

Squaring By 10’s Square It! Product 1 1x1 10 10x10 100 2 20 3 30 4 40 5 50 6 60 7 70 8 80 9 90 11 110 12 120

Lesson 1.8 Unsquaring Common Core Focus 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 MMR MM Part 1 J p 23 3-6 only Part 2 Math Box Study link **No Calculator

Unsquaring Numbers 4 4=fxf f=2 4=2x2 Product Open Number Sentence Factor Solved Number Sentence 4 4=fxf f=2 4=2x2

Unit 1.9: Factor Strings Common Core Focus 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 MMR MM Part 1 J p26: no #3 Part 2 Math Box – Study link *We will do factorization, but do not need to exponents

Building Numbers Using Prime Numbers Area Model Use 2 of the same factors Change 1 Factor Change Both factors Add a Factor Add 2 Factors 2x2=4 2x3=6 3x3=9 3x3x2=18 3x3x2x2=36 _______________________________

Creating Area Models