5th Grade: UNIT 6

ENGAGEMENT FEB. 21-24, 2017 5.NBT.7=MULTIPLY AND DIVIDE DECIMALS

How would someone’s life be impacted negatively if they did not learn how to divide decimals?

GROUP QUESTION:

Use the grid to represent .2 x .70. (Remember, your columns can overlap)

EXIT SLIP:

Use models to represent the addends of 3.47 + 2.49.

ENGAGEMENT February 27-28, 2017 5.NF.3

Are fractions always part of division? Why or Why not?

GROUP QUESTION

Simon has 7 minutes to complete 11 word problems. How many minutes does he have to spend on each problem?

EXIT SLIP

Thor and Carter want to build a club house that doesn’t allow cats. (Simon keeps hitting them.) Thor has a board that is 6 feet long. Carter tells him to cut it into 7 equal pieces. Which equation shows how to find the length, in feet, of each piece of the board?

6 x 7= 42

7 – 6= 1

7 ÷ 6= 1 1/6

6 ÷ 7= 6/7

ENGAGEMENT March 1-3, 2017 5.NF.4

In real life, when would it be advantageous (beneficial) for you to use fractions and then MULTIPLY them?

GROUP QUESTION

Thor and Carter finished their new clubhouse. The width of club house is 5 ½ feet and the length is 9 ¾ feet. What is the area? **You must label the units or it will be incorrect! Draw a model and label the length and width.

EXIT SLIP

Simon found out about the clubhouse, got mad, rented a SawsAll and cut off part of the club house off! He took off 1 ¼ feet from the width and 2 ½ feet off the length. What is the area now?

ENGAGEMENT March 6-10, 2017 5.NF. 6

When would we use mixed numbers to multiply in real life and WHY?

GROUP QUESTION

Thor, Carter, and Simon made up. So, they decide to sell lemonade to raise money to fix their clubhouse. It was WICKED hot on Sunday so they sold 6 ¾ gallons! But on Monday it was cold so they sold only ½ that amount. How much did they sell on Monday?

EXIT SLIP

Simon went out and sold hot cocoa instead on Thursday because it was cold. He sold 2 ¼ gallons. How many gallons total did the boys sell on Sunday, Monday, and Thursday? (Blue: how much money did they make if each exact cup was $1.50 a piece?

ENGAGEMENT March 13-17, 2017 5.NF.7

When would you need to divide a fraction?

GROUP QUESTION

Thor makes meatloaf. He cooks 7 separate identical loaves. He cuts each loaf into ¼ size pieces. Carter is super excited because he loves meatloaf. How many pieces total will they have?

EXIT SLIP:

Carter decides to make election ribbons for his and Thor’s campaign. He finds some ribbon in the closet that measures 11 feet long. He uses ¼ foot of ribbon to make each election ribbon. What is the total number they can make? (Blue: if they want to make 65 total, how much more ribbon will they need to buy?)

HOMEWORK FEBRUARY 22, 2017 5.NBT.5 (MULTIPLY LARGE #S)

GREEN, RED, BLUE

Little Shayla wants to become an entrepreneur and start her own business. She finds things to sell. She found a bunch of gorgeous white quartz rocks that looked like diamonds! She sold 186 quartz rocks per week. How many quartz rocks does she sell in 26 weeks? Explain using math vocabulary.

RED, BLUE

So Little Cole wants in on the action. He advises Shayla to charge more for the rocks since they are selling like hot cakes! At first Shayla charges 50 cents per rock. How much does she make? If she raises the price by another 75 cents and sells the same amount as above. How much more will she make?

BLUE

Someone in the government gets wind of this little stealthy operation. It turns out Little Blondie is a secret undercover agent. She demands that Shayla and Cole pay taxes on their sales. The % of sales tax is 2% when the profits are under $2500.00 but 4% when profits are over $2500.00. How much sales tax total did they pay on their rock sales? Now what are their profits? (Shayla found all the rocks so she has no overhead costs.)

HOMEWORK FEBRUARY 23, 2017 5.NBT.6 (DIVISION OF LARGE #s)

GREEN, RED, BLUE

Little Jailynn and Little Julien decide to get in on this sales action to make money. They want to buy a unicorn. The unicorn costs $23,475.67! If Little Jailynn and Little Julien make $125 per week EACH, how many weeks will it take them to buy the unicorn? Explain using math vocabulary.

RED, BLUE

Little Gerod doesn’t want to buy a unicorn. He wants to buy a village of Smurfs and take them on a road show tour to make money. Little Traie and Little Eugene think it’s an awesome idea! The cost of the Smurf village is $12592.31. If they EACH make 75.00 per week, how long will it take them to buy the village?

BLUE

Little Autumn decides to be their accountant. She is figuring out how much they should charge for each ticket so they can make their money back the quickest way possible and then make a profit. If Little Diana projects 25 people will attend the show every day of the week for 4 months, and the ticket is $6.50 a piece, will the boys make their money back? If so, what is their profit?

HOMEWORK FEBRUARY 24, 2017 5.NBT.7 (MULTIPLY DECIMALS)

GREEN, RED, BLUE

Little Ariana and Little Giovanni also want in this money making action. They decide to continue the EAT HEALTHY initiative endorsed by Michelle Obama. So they would like to sell fruit at the shows. Their out of pocket costs depend on how much fruit they purchase up front. Use the table below to help them figure out their costs.

Total # of lbs. purchased Cost of fruit per lb.0-5 $3.756-10 $3.2511-20 $3.00Over 20 $2.55

Little Giovanni says they should order 33 lbs. of fruit. How much will that cost them? Explain your strategy using math vocabulary.

RED, BLUE

Little Sara and Little Lily Wahl (they LOVE to talk) are Little Ariana and Little Giovanni’s consultants. The girls advise Little Ariana and Little Gioivanni to first purchase small amounts then adjust as the customer base increases. The first day of the show, they sold 4 pounds of fruit. How much did that cost Ariana and Giovanni? The next day they sold 8 lbs. of fruit. If they sell the fruit at 4.25 per lb. both days, what is their profit?

BLUE

Little TaSean does the math. He advises buying 97 lbs. and selling it for $4.93 a lb. What is their profit now? (including the above profit).

HOMEWORK FEBRUARY 27, 2017 5.NBT.7 (DIVISION OF DECIMALS)

GREEN, RED, BLUE

Little Jordynn and Little Julie were making campaign posters for Thor and Carter since they love little dogs. In order to save space, they mark the equation .4 x .70 on the poster grid. What did they mark? Explain how decimals and models work using math vocabulary.

RED, BLUE

Little Kayla and Little Jordan decide to be the campaign managers. They oversee the poster creations. Little Patrick says the poster looks empty. He suggests .6 x .90. What does this look like?

Blue: Carter spills paint on ¾ of the total shaded area. What area is NOT ruined?

HOMEWORK February 28, 2017 5.NF.2 FRACTIONS

GREEN, RED, BLUE

Little Evan loves to make bracelets. He made the following design. Draw the pattern: gray circle, white square, black square, gray circle, gray circle, white square, black circle, gray circle, white square, gray circle, black circle, gray circle, white square, gray square, black circle, white square.

Now, give the fraction addition sentence of the shapes that are black OR gray? Explain fractions using math vocabulary.

RED, BLUE

Little Eloy and Little TJ want to sell the bracelets that Little Evan makes. If they sell 89 bracelets at $5.65 a piece. How much money is made?

BLUE:

Little Ders and Little Faith decide to become business consultants for the girls. They know that in order to find the profit, the COST to make the bracelets needs to be calculated. Bead cost apiece= Gray circles: 0.11, white squares: 0.25, black squares: 0.16, black circles: 0.09, gray squares: .05. If Little Eloy, Little TJ, Little Ders, and Little Faith charge 1% EACH of the total made (from above), what is the actual profit? (Just move the decimal two places to the left in the amount above to get 1%)

HOMEWORK MARCH 1, 2017 5.NF.2 FRACTIONS

GREEN, RED, BLUE

Little Solomon and Little John were skipping along Horsehead Road when they fell into a hole. They figured they might be awhile since neither one could get reception on their cell phone (no I CAN’T hear you now Verizon….). They each had a Cliff bar so they portioned it off. Little Solomon divided his bar into eighths and ate 2 pieces. Little John was more hopeful and divided his into fourths and ate 1 piece. How much do they have left TOGETHER? Explain your strategy using math vocabulary.

RED, BLUE

Little Ana was walking her rabbit along Horsehead Road. She walked right past the hole that Little Solomon and Little John were in. They had both fallen asleep so they didn’t call for help. Little Ana ate 2/6 of a cliff bar, then tossed it into the hole. It hit Little John on the head and he woke up. How much total do the boys get to eat now?

BLUE

Little Dylan went looking for the boys. He heard them screaming for help. Little Dylan brought the boys snacks, and guess what they were? CLIFF BARS! But Little Mekhi and Little Glenn played a trick on Little John and Little Solomon, and ate ¼ of each Cliff Bar in the pack. If it was a twelve pack, but 2 were already gone, how many Cliff bars are there total including the amount the boys still have left?

HOMEWORK MARCH 2, 2016 5.NF.3 FRACTIONS

GREEN, RED, BLUE

Little Faith and Little Laelle want to build a clubhouse like Thor and Carter. It will be for Girls Only. Little Faith decides to cut a board into 11 equal pieces. If it is 9 feet long, what is the equation and length of EACH piece of board? Explain fractions and division using math vocabulary.

RED, BLUE

Little Blondie decided to join the girls and help them. She was super excited and started running towards the clubhouse. However, she tripped on that dirty boot (that Little Mekhi was supposed to get rid of….) and she accidentally made Little Laelle cut off 1 ½ feet of the length of the board. Now what sizes are each of the pieces?

BLUE

Little Roberto and Little Ethan thought it was totally bogus that the clubhouse was Girls Only so they snuck in and cut off another 1 ¾ feet off the already shortened board. Now what sizes are each of the pieces?

HOMEWORK MARCH 3, 2017 5.NF.3

GREEN, RED, BLUE

Little Julie wants to help the Girls reconstruct their clubhouse after the boys destroyed it! However she must hurry and cut up another board. She only has 9 minutes (before she goes to basket weaving class) to cut 13 pieces. How long does she have to cut each piece? Explain your strategy of fractions and division using math vocabulary.

RED, BLUE

Little Anthony decides that he will build a Boys only tree house and it will be better because it’s in a tree! He has to go to Little Keyon’s house in 17 minutes to feed the chickens, but he wants to get started on cutting the boards. If he cut 23 pieces of board, what is the amount he spends cutting each piece?

BLUE

Little Alex decides to help Little Roberto and plans on making it into a Pug Clubhouse too. He brought some supplies to help build the treehouse. He had a Hodge podge mix of odd length boards. One board was 1 ¾ feet, another was 2 ¼ feet, a third was 5 ½ feet. First he bracketed them all together and then he cut them into pieces. He had to go to Needlepoint class in 14 ½ minutes but managed to cut 19 pieces. How long is each piece?

HOMEWORK MARCH 6, 2017 5.NF.4b

GREEN, RED, BLUE

Little Shayla becomes the general contractor for the Girls Only clubhouse. She creates a blueprint for the area. If the length is 10 ¼ feet and the width is 6 ¾ feet, what is the total area? Draw the plan and label the length and width. Explain your strategy using math vocabulary.

RED, BLUE

Little Delonte was on the boys team so he snuck in and erased the numbers on the plan. He converted them to decimals to throw the girls off. He changed the plan to 4.75 for the length and 2.25 for the width. What is the area in fractions?

BLUE

Little Ders and Little Faith will have none of that! They add 8.05 to the length and 3 ¼ to the width (to what Delonte had changed it to). What is the area in mixed numbers with decimals and in mixed numbers with fractions?

HOMEWORK MARCH 7, 2017 5.NF. 4b

GREEN, RED, BLUE

Little Eloy was on the boys team and made a blueprint for a pantry addition onto the clubhouse. It was 5/6 feet long and 7/12 wide. Write an expression that can be used to find the area of the food pantry. Then solve it. (MP 6: MAKE SURE YOU PUT THE ANSWER IN SQUARE FEET FOR AREA!!!) Explain the strategy you used and use math vocabulary in the explanation.

RED, BLUE

Little Anthony Douglas thinks the pantry needs to be bigger so they can store more food. He puts ½ foot onto the length and ¼ onto the width. What is the new area now?

BLUE:

Little Mehki has grown an attachment to that dirty boot and named it Jerry. He needs to make a special room for Jerry at the clubhouse. If Jerry’s room is 2 ½ feet by 1.25 feet, what is the total area of the clubhouse including the pantry (dimensions from above), Jerry’s room, and the dimensions of the big room at 9 ½ feet by 7 ¾ feet.

HOMEWORK MARCH 8, 2017 5.NF 2/NF.6

GREEN, RED, BLUE

Little Ariana is going to make the curtains for the clubhouse. Little Kayla helps by bringing 10 yards of fabric. If they use 7 ¼ yards, what is the estimate of the remaining fabric? (Then SOLVE it! Regroup with fractions and DO NOT put 3 ¼ as the answer!!!!!!!!!!!!!!!!!)

More than 5 yards Y N

Less than 2 yards Y N

More than 4 yards Y N

Less than 3 yards Y N

Explain using math vocabulary.

RED, BLUE

Little Laelle and Little Sara want to help. Little Laelle brings 11 ½ yards of fabric and makes a curtain for a larger window. If they use 9 ¾ yards, what is the remaining fabric? (REGROUP with FRACTIONS!!)

BLUE

Little #You and Little Ana want to help make bedspreads and rugs. They had 29 yards of fabric. When they stepped away to get their supplies, Little Ethan and Little Glenn snuck in and cut off 2/5 of the fabric. If the girls want to use at least 22 ¾ yards, will they have enough fabric? If not, how much will they need?

HOMEWORK MARCH 9, 2017 5.NF. 6

GREEN, RED, BLUE

Little Cole and Little Julien revisit the Unicorn purchase. They decide a Pegasus will be WAY cooler! So they set up a Kool-Aid stand on Croom Road. On Sunday they sold 6 ¼ gallons of blue Kool-Aid. On Wednesday it was a slower day and they only sold ½ as much. How much blue Kool- Aid did they sell on Wednesday? Explain using math vocabulary.

RED, BLUE

Little Jordan Hall and Little Lily Wahl think the sales are down because the Kool-Aid is blue. They serve orange Kool-Aid instead and triple the amount sold on Wednesday that Little Cole and Little Julien did. How much did they sell altogether including the amount Little Cole and Little Julien sold?

BLUE

Little John Simms and Little TaSean serve as the accountants, so they need to figure out the profits. If Kool-Aid powder costs 2.99 a gallon and each ¼ of a gallon was sold at $4.55, what is the profit? Or is there one? (if not how much more do they need to sell to make a profit?)

HOMEWORK MARCH 10, 2017 5.NF. 7a/7c

GREEN, RED, BLUE

Little Jailynn and Little Jordynn decided to adopt three Chinchillas. They named them Larry, Curley, and Mo. They were hungry little buggers and ate 5/6 of their bag of food. In order to be fair, the remaining food must be equally split between Larry, Curley, and Mo.

Which model represents the part EACH hamster received?

I I I I I I I I I I I I I I I

I I I I I I I I I I I I

I I

What is the equation used to represent the above model? Explain using math vocabulary.

RED, BLUE

Little Delonte and Little Keyon were running through the house and tripped on a dog bone and spilled half of the hamster’s food that was left. What is the new amount left? What does the new model look like?

BLUE

Little Roberto and Little Alex felt bad that the little hamsters wouldn’t have more food to eat so they scooped up half of the half and added it to the amount left. How much do the hamsters have now? And what does the model look like?

HOMEWORK MARCH 13, 2017 5.NF. 7a/7c

GREEN, RED, BLUE

Little Solomon and Little Giovanni decide to try out for The Food Network: Chopped. They make 9 loaves of Marshmallow Banana Bread (sure to be a hit!) and cut it into pieces that are 1/3 loaf each. How many pieces will they have? Explain using math vocabulary.

RED, BLUE

Little Traie and Little Gerod decide that marshmallows are not healthy and decide to make their own loaves and switch them with the other loaves. They make 9 loaves of Zucchini, Yogurt, and brown rice but they cut each 1/3 piece of loaf into half again. How many pieces do they have now?

BLUE

Little Dylan and Little TaSean think that all the loaves sound disgusting! So they decide to be funny and mash their own concoction of loaves with the others (from above). They take half of the total from above and combine it with 1 ½ times of Fruit Loop and Oreo bread. How many full loaves do they have?

HOMEWORK MARCH 14, 2017 5.NF. 7c

GREEN, RED, BLUE

Little Eugene and Little Eloy are new members of Thor and Carter’s Presidential Campaign. They decide to make hand towels to pass out to voters! Little Eugene has 11 feet of fabric. If Little Patrick makes each hand towel ¼ of a foot of fabric, how many hand towels can they make from the 11 feet of fabric? Explain your strategy using math vocabulary.

RED, BLUE

Little Bubbles and Little Patrick want to help, but get excited and start playing tag in the house. They start running and trip on that DIRTY BOOT!!! They bump into Little Eugene, who ends up cutting off half of the 11 feet of fabric. Little Eloy is mad! But he continues to make his hand towels. How many hand towels can he make out of the remaining fabric now?

BLUE

Little Anthony and Little Ana don’t think these antics are funny, at all!!! So they try to salvage the ripped/cut fabric but only 1/3 of the fabric was salvageable. If Little Eloy adjusts the hand towel size to 1/6 of a foot of fabric, how many hand towels can they make total now?

HOMEWORK MARCH 15, 2017 5.NF. 7a/7b

GREEN, RED, BLUE

Little Blondie and Little Ethan are generous and buy a pizza for the new campaign workers (Little Solomon, Little Ana, Little Faith, and Little Simon). They dropped off the pizza and told them to share the pizza EQUALLY!!! Draw a model and write a numerical sentence that represent the model. Explain using math vocabulary.

RED, BLUE

Little Delonte and Little Eloy want to help too (or maybe they just want free pizza). They suggest dividing EACH piece into 4 more pieces. What is the new fraction? Draw a model.

BLUE

Thor and Carter take some campaign money to buy 2 more pizzas for the workers. Thor gets hungry (he is a pug after all) and eats 1/3 of one pizza. (Newly) Divide the pizza from above and the remaining pizza from Thor’s delivery excursion into equal pieces to feed the four workers and Thor and Carter.

HOMEWORK MARCH 16, 2017 5.NF. 7a

GREEN, RED, BLUE

Thor is sorry he ate some pizza from Blue group’s problem the night before. However, he wants to show the voters he is good at math because a president needs to know math after all! He took the original pizza and divided it for the four workers, then divided each piece into 4 pieces. Draw the model to see if Thor really does know his math. Label the pieces and write the numerical sentence using multiplication, division, or addition. Explain using math vocabulary.

RED, BLUE

Carter is starving so he eats ¼ of the pizza when no one is looking. How much is left. How many pizzas are each campaign worker getting now(remember there are four workers)?

BLUE

Simon ran out to get DiGornio because DiGornio is better than delivery! He tripped on that DIRTY BOOT and dropped some pizza. He had 1.75 pizzas left then combined it with the remaining pizza above. How many pizzas can each worker get as well as Thor (but not Carter because he already ate!!)

HOMEWORK MARCH 17, 2017 5.NF. 7b

GREEN, RED, BLUE

Thor wanted to make cakes instead of pizzas and divide them into thirds. He makes THREE different shapes of cakes. Divide each shape into THIRDS and label each piece of each cake. Explain fractions using math vocabulary.

RED, BLUE:

Carter decided cake making was fun. Simon was super hungry, so when Carter turned around, he shoved 2/3 of one cake into his mouth and his pocket. Now Carter has to combine the remaining pieces together to make one large cake. What is the mixed number? What is the new fractional piece after he combines them all into one large cake?

BLUE:

Holly had enough of these antics! She elicited the help of her mommy to stop this madness! Carter and Holly put Simon in time out and decided to try to fix the ruined cakes. They create a cake that is a fraction larger than 1 and can feed at least 12 people. What is a possible cake combination?

Homework March 20, 2017 5.NF.B.7a/7b

Thor has ½ hour to do chores. He plans to spend the same fraction of an hour on each chore. He wants to use the same number line to help him determine what fraction of an hour he can spend on each chore.

l_____________________________________ _l______________________________________l

0 A 1

Hr

What is the correct number label for point A? Explain how to use this number line to help Thor solve his problem. (Finish the

number line by completing the rest of the boxes that belong on it) What fraction of an hour will he spend on each chore? Explain.

HOMEWORK MARCH 21, 2017 DIVISION (show ALL work, no calculators!)

6.9 ÷ 1.4 34,567 ÷ 92

5.85 ÷ 14 782 ÷ 16

12,344 ÷ 4 71 ÷ 34

5 ÷ 11 89,213 ÷ 8

HOMEWORK MARCH 22, 2017 MULTIPLICATION

456 x 67 15.1 x 7

2.25 x 3.4 365 x 12

91 x 91 78.1 x 5

1.5 x 1.6 91 x 54

11 x 121 89 x 17