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5 TH GRADE: TEXT DEPENDENT QUESTIONS TO CONSIDER FOR UNIT 4 Compare, inequality : Can you solve these inequalities without using models and by using equivalent fractions? What exactly is an inequality? What do I do with it? How does that relate to comparing fractions? Fractions are parts of a whole, so how do I determine if the fraction is bigger or smaller? What kind of models should I make? How will I make sure they are equal size? What if one of my models is not the same exact size as my other, will that affect my answer? I wonder how equivalent fractions are useful in determining the inequality. Why is it called an inequality? MATH VOCABULARY: Benchmark Fraction Data Denominator Difference Dividend Divisor Frequency Table Equivalent Improper Fraction Line Plot Mixed Number Numerator Outlier Product Quotient Reciprocal Sample Scale Simplest Form Survey Sum Whole STANDARDS OF MATHEMATICAL PRACTICE: (SMP) Habits of Mind of a Productive Mathematical Thinker (Math Sense Making) (1) Make sense of problems and persevere in solving them (6) Attend to precision Reasoning and Explaining (Math Talk) (2) Reason abstractly and quantitatively (3) Construct viable arguments and critique the reasoning of others Modeling and Using Tools (Math Drawings) (4) Model with mathematics (5) Use appropriate tools strategically Seeing Structure and Generalizing (Math Structure) (7) Look for and make use of structure (8) Look for and express regularity in repeated reasoning HELPFUL PROCEDURES: The LCM is used for unlike denominators. When adding fractions, it is only a portion of a whole. The bigger the denominator, the smaller the piece.

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5TH GRADE: TEXT DEPENDENT QUESTIONS TO CONSIDER FOR UNIT 4

Compare, inequality : Can you solve these inequalities without using models and by using equivalent fractions? What exactly is an inequality? What do I do with it? How does that relate to comparing fractions? Fractions are parts of a whole, so how do I determine if the fraction is bigger or smaller? What kind of models should I make? How will I make sure they are equal size? What if one of my models is not the same exact size as my other, will that affect my answer? I wonder how equivalent fractions are useful in determining the inequality. Why is it called an inequality?

MATH VOCABULARY:

Benchmark Fraction Data Denominator Difference Dividend Divisor Frequency Table Equivalent Improper Fraction Line Plot

Mixed Number Numerator Outlier Product Quotient Reciprocal Sample Scale Simplest Form Survey Sum Whole

STANDARDS OF MATHEMATICAL PRACTICE: (SMP)

Habits of Mind of a Productive Mathematical Thinker (Math Sense Making)

(1) Make sense of problems and persevere in solving them (6) Attend to precision

Reasoning and Explaining (Math Talk)

(2) Reason abstractly and quantitatively (3) Construct viable arguments and critique the reasoning of others

Modeling and Using Tools (Math Drawings)

(4) Model with mathematics (5) Use appropriate tools strategically

Seeing Structure and Generalizing (Math Structure)

(7) Look for and make use of structure (8) Look for and express regularity in repeated reasoning

HELPFUL PROCEDURES:

The LCM is used for unlike denominators. When adding fractions, it is only a portion of a whole. The bigger the denominator, the smaller the piece.

1. Find the LCM and change improper fractions to mixed numbers and improper fractions to mixed numbers. Simplify the answer.

2. Decide which order of operation to use: add or subtract, multiply or divide

3. Use models to visualize the answer

4. Reread the text multiple times to ensure you know WHAT THE QUESTION IS ASKING

5. Remember when dividing, you must use the RECIPROCAL of the SECOND fraction

PS: THOR AND CARTER ARE LITTLE DOGS AND SIMON IS A CAT

December 12-13, 2017 5.NF. 3 Division of Fractions

ENGAGEMENT

Are fractions always part of division?

GROUP QUESTION

Write whether the statement below is true or false. Explain your answer using words and numbers. The product of 3/5 and 6 is greater than 6.

EXIT SLIP

What is the product of ½ and ¼ ? Draw a model to represent this.

December 14-15, 2017 NF. 4a Multiplication and Division of Fractions

Engagement

How would your life be impacted (affected) without fractions? (Not for school!)

GROUP QUESTION:

Three-fourths of the class are boys. Two-thirds of the boys are wearing Nikes. What fraction of the class are boys wearing Nikes?

EXIT SLIP:

Every day Tim ran 3/5 of mile. How far did he run after 6 days?

DECEMBER 18-19, 2017 NF 4b Area using fractions

ENGAGEMENT

What would happen if shoes didn’t come in half sizes? How would that affect your life?

GROUP QUESTION:

Thor and Carter are running for President and Vice President of the United States. They decided to make campaign posters. Carter created a square-shaped poster. The length and width of his poster is 3 ½ feet each.

Use the grid below to draw and shade Carter’s poster.

1 square foot

EXIT SLIP:

What is the area of her poster in square feet?

December 20-22, 2017 5.NF.5/5a Interpret Multiplication Resizing

ENGAGEMENT NF. 5

In what profession would someone use a scale (model) in their line of work? For what and why?

GROUP QUESTION:

Explain why this statement is true:

Scaling is a multiplicative comparison. It compares the size of a product to the size of one factor on the basis of the size of the other factor. Example: 12 = 3 x 4 so 12 is 3 times as many as 4 and 4 times as many as 3.

EXIT SLIP:

If four is multiplied by a fraction greater than one, which of the following is true or false about the product?

T F

The product is greater than four. ___ ___

The product is less than four. ___ ___

The product is equal to four. ___ ___

The product is always equal to one. ___ ___

January 2-3, 2018 5.NF. 5b Multiply Fractions

ENGAGEMENT

Why would someone use improper fractions to multiply instead of mixed numbers?

GROUP QUESTION:

Thor and Carter are planting two tomato beds. The first tomato bed is 5 meters long and 6/5 meters wide. The second tomato bed is 5 meters long and 5/6 meters wide. How do the areas of these two tomato beds compare? Is the value of the area larger or smaller than 5 square meters? Draw pictures to prove your answer.

EXIT SLIP:

The shaded part of the square below has a length of ¾ foot and a width of ½ foot.

I--------1 foot--------------------I (The height is also 1 foot)

What is the area, in square feet, of the shaded part of the square?

January 4-5, 2018 5.NF. 6 Multiply Mixed Numbers

ENGAGEMENT

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

GROUP QUESTION:

There are 2 ½ bus loads of students standing in the parking lot. The students are getting ready to go on a field trip to the Owens Science Center. 2/5 of the students on each bus are girls. How many busses would it take to carry only the girls? (Draw a model)

EXIT SLIP:

Which of the following equations is modeled by the figure below?

SHOW YOUR WORK BELOW:

Yes No

4 x 5/1 = 5/4 ___ ___

1/5 x 4= 4/20 ___ ___

4 x 1/5= 4/5 ___ ___

4 x 5/1= 20/4 ___ ___

SHOW YOUR WORK HERE:

January 8-9, 2018 5.NF. 7a

ENGAGEMENT

Think about a time when you multiplied and divided fractions at home. When did the answer get larger and when did it get smaller? Why?

GROUP QUESTION (SMP: MP 4, MP 5)

Multiplication ‘undoes’ division. Which relationship below shows the INVERSE (opposite) operation in explaining how to get the quotient?

4÷ (1/5)= 20 because 20 x (1/5)= 4

6÷ (1/3)= 18 because 18 x (1/3) = 1/18

3÷ (1/2)= 3/2 because 3/2 x (1/2)= 3

2÷ (1/4)= 1/8 because 1/8 x (1/4)= 2

EXIT SLIP (SMP: MP 4)

Give the inverse equation for:

7÷ (1/4) =__________ because _______ x (___/______)=__________

January 10-12, 2018 5.NF. 7c Real World Fraction Problems

ENGAGEMENT

How have you multiplied and divided something in real life at home? When and why?

GROUP QUESTION (SMP: MP 4, MP 7)

Thor and Carter are going on a shopping outing at PetCo. They plan to be there all day. They bring a container that holds 1½ of a gallon of water. If they share the water equally, what fraction will Thor get and what fraction will Carter get?

EXIT SLIP (SMP: MP 4, MP 7)

Carter gets excited and trips. Thor drops the jug of water and 1/4 spills out. How much water will they both get now? (Thor is super mad at Carter and decides to spank him. Carter starts to cry, so Thor apologizes by buying him a taco.)

January 15-17, 2018 5.NBT. 7 Decimals

ENGAGEMENT

When do you use decimals in real life (BESIDES money)?

GROUP QUESTION

Thor, Carter, Simon, and Soldier (the American Bulldog from next door) went to PetsMart to buy Ms. Evans a gift. They each spent $19.85. How much did they spend altogether?

EXIT SLIP

Thor and Carter decide to go play golf. Simon isn’t going because he needs to take a bath. Thor and Carter meet up with 26 other friends. If there are 172 golf balls, how many will each friend (including Thor and Carter) get? Between what two whole numbers will they lie?

TASK PERFORMANCE 5.NF. 3 DIVISION WITH MODELS AND FRACTIONS

Thor purchased a cake for Christmas dessert. Thor and Carter shared equally one-third of the cake. The remainder was left for Simon, Mom, Dad, and brother Hunter to share equally.

Draw a model to represent the amount of cake that Carter and Thor shared. Write an equation to represent the amount shared.

What fraction represents the portion of cake that Simon ate? Explain your thinking using numbers, words, and or models.

Carter said that he received less cake than Simon. Do you agree with Carter? Why or why not. Explain using words, numbers, and or models.

TASK PERFORMANCE 5.NF. 7 Division of Fractions

When would you divide a fraction in real life, and when would you multiply a fraction in real life? (NOT MATH CLASS!!) How do the numbers increase and decrease?

Carter loves hamsters. His hamsters ate 4/5 of food from a bag. The remaining food is split equally between the three hamsters. (SHOW YOUR WORK!!!!)

Which model below represents the part EACH hamster received?

A.

l l l l l l

B

I I I I I I I I I I

C

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

D

I I

Which expression represents the part each hamster received? (SMP: MP 1, MP 6)

A. 1 divided by 3 True________ False________

B. 1/5 divided by 3 True_______ False________

C. 4/5 divided by 5 True_______ False________

D. 1/3 divided by 1/5 True_______ False________

TASK PERFROMANCE

5.NF.4 Extend Understandings of Multiplication and Division

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

Chicken Little was tired of being called scrawny. He was only half as tall as Chicken Middle and only a quarter as tall as Chicken Grande! Chicken Little went to Marshalls and bought lifts to place in his shoes. He could only find 2 inch lifts. What is a possible measurement of Chicken Grande? What about Chicken Medium? If Chicken Little only buys one set of lifts, what is a possible measurement for how tall he is once he places the lifts inside his shoes?

How many times taller is Chicken Grande than Chicken Little?

Blue:

What fraction does this number represent? Represent as a mixed number and an improper fraction. 2.13

Red:

Find the product of 5 and 5/6. Represent as a mixed number and an improper fraction.

Green:

Find the product of 2 and ¼. Simplify that using your journal notes.

TASK PERFROMANCE 5.NF.5a Compare Fractions by Estimation

Ms. Evans teaches in a room that is 60 feet wide and 40 feet long. Mr. Hentz teaches in a room that is half as wide, but has the same length. How do the dimensions and area of Mr. Hentz’s classroom compare to Ms. Evans? Draw a picture to prove your answer.

Is the product of ¾ and 7 greater or smaller than 7? Show your work to prove your answer.

TASK PERFORMANCE 5.NF.7b Division of whole numbers by fractions

(SMP: MP 4, MP 7)

Thor wants to make a bowl of rice to have with his dinner. A bowl holds 4 cups of rice. If he uses a measuring cup that holds 1/8 of a cup, how many times will he need to fill the measuring cup in order to fill the entire bowl? Use a visual fraction model to explain your answer.

(SMP: MP 2)

Use multiplication to explain why your answer in the above question is reasonable.

HOMEWORK DECEMBER 12, 2017 5.NF.3

GREEN, RED, BLUE:

Little Anthony and Little Tyrell decide to go have some fun at the Country Club. They see that 25 Seniors (like Grandma and Grandpa) will be sharing 200 golf balls equally. Little Anthony and Little Tyrell decide to grab handfuls of golf balls and throw them into the pond. They manage to toss 33 golf balls before security chases them off the grounds. How many golf balls will the Grandmas and Grandpas each get now? Between what two whole numbers will the number lie? EXPLAIN YOUR REASONING USING MATH VOCABULARY.

RED, BLUE

Little Midge and Little Bri feel bad for the Grandmas and Grandpas so they dive head first into the pond to retrieve the golf balls. They can only find 17 of the golf balls and that dirty boot that keeps showing up everywhere the fifth graders go. How many will each Grandma and Grandpa get now? Between what two whole numbers will they lie?

BLUE:

Little Mrs. I Love Alpacas and Little LOL did not like these antics one bit. They hailed a cab and went to target to buy more golf balls for the Grandmas and Grandpas. They scraped together enough money to buy 1/5 of the original amount of golf balls. They called Little Mr. Eugene Krabs to come pick them up and drive them to the country club. Little Mr. Eugene Krabs showed up riding a donkey with a sled attached to it and took them to where they needed to go. Little Mrs. I Love Alpacas and Little LOL threw the new golf balls into the pile with the remaining golf balls, wet golf balls, and dirty boot. Now how many do each Grandma and Grandpa get? Between what two numbers will the answer lie?

HOMEWORK DECEMBER 13, 2017 5.NF.3

GREEN, RED, BLUE

Little Tyler and Little Elser went to Giant to buy a sheet cake to celebrate Flag day. (After all, who doesn’t love flags?) The boys left the remaining for Mrs. Murphy her three kids. Draw a model to represent the amount of sheet cake the two boys shared. Write an equation to represent the amount they shared. EXPLAIN YOUR REASONING USING MATH VOCABULARY.

RED, BLUE

Little Henrietta and Little Richard snuck into the kitchen to eat some cake. They grabbed two pieces before an attack pug came out of the laundry and chased them away. Now divide the remaining cake into enough pieces for Mrs. Murphy and her three kids. How much of the original cake was left?

BLUE

Little Gabby Douglas and Little Grandma felt bad that the cake was ruined. They purchased a cake the same size and shape as the first one and divided it into enough pieces to feed Mrs. Murphy and her 3 kids, as well as themselves (after all they did but another cake!) What is the mixed number that represents the cakes in a fraction and a decimal?

Homework December 14, 2017 5.NF. 3

GREEN, RED, BLUE (You’ll need yesterday’s homework to answer this question)

Little Daunte and Little Lavontay want in on this cake action. But first they must answer some fraction problems regarding the cake. What fraction represents the portion of cake that Mrs. Murphy ate? Explain using words, numbers, and models. Little Tyler said he received less cake than Mrs. Murphy. Do you agree with Little Tyler, why or why not? Explain. (Think about the amount of pieces you made for the denominator and if everyone received the same amount of cake or if someone got bigger pieces.)

RED, BLUE

Little Justin snuck in and grabbed the cake. He measured the size of the pieces and then put 8 more pieces of fruit cake with the regular cake remaining. What is the mixed number and the whole number with a decimal?

BLUE

Little Sawyer and Little Ethan HATE fruit cake. They wanted to grab the fruit cake and throw it away. They managed to get 1/3 of the fruit cake and toss it. What is the fraction now (in a mixed number and a decimal)?

HOMEWORK DECEMBER 15, 2017 NF. 4

GREEN, RED, BLUE:

What is the product of ½ AND ¼ ? Draw a model to represent it. Now multiply by 2 and ¼ . What is the product? Draw another model. EXPLAIN USING MATH VOCABULARY.

RED, BLUE

Little Margaret got mad and scribbled on the model above. But he only got half way through scribbling on the ½ when Little Midge snatched the crayon from his hand. What is the product now?

BLUE:

Little Homeslice thought he’d be super funny and he cut the model of 2 wholes into 24 pieces. Then he threw away ¾ of those pieces. When Little LOL came back she FLIPPED out. Little Homeslice dug through the trash (yuck) but could only find ½ of those ¾ pieces he tossed. How many did he actually find? What if he found the product of what he found and ¼? What is that answer?

HOMEWORK DECEMBER 18, 2017 NF. 4

GREEN, RED, BLUE

Little Alan wants to make flan, his favorite dessert. He uses 1 ¼ cups of milk to make 1 flan. What is the total amount of milk Little Alan needs to make 6 flans? (He loves them!) EXPLAIN USING MATH VOCABULARY.

RED, BLUE

Little Jade got distracted by the shiny lights and dumped twice as much milk into the first flan. OOPs! How much did she pour in? What about dumping in twice as much sugar if it is 2/3 cup for one flan?

BLUE:

Little G-Ma was irritated by the mistake, he takes cooking seriously. What if he wants to make 9 ½ flans? How much sugar and milk?

HOMEWORK DECEMBER 19, 2017 NF. 4a

GREEN, RED, BLUE

If Little Dennis multiplies three by a fraction greater than one, which of the following is true or false about the product? Show your calculations. EXPLAIN USING MATH VOCABULARY.

T F

The product is greater than three. ___ ___

The product is less than three. ____ ___

The product is equal to three. ____ ___

The product is always equal to one. ____ ____

RED, BLUE:

Little Bailey decides to use cupcakes to model the above problem. Draw a model for each statement.

BLUE:

Little Ethan is in a feisty mood, so he eats half of each cupcake that Little Bailey put out to model the statements. Now what is the answer to each statement?

HOMEWORK DECEMBER 20, 2017 NF. 4a

GREEN, RED, BLUE

Little Patsy decided to draw during The Voice because she didn’t like the contestant. This is what she drew.

The shaded part of the square below has a length of ¾ foot and a width of ½ foot.

l-------1 foot----------------l (the height is also 1 foot)

What is the area, in square feet, of the shaded part of the square? EXPLAIN USING MATH VOCABULARY.

RED, BLUE:

Little Kamilah liked the contestant on The Voice so she drew on Little Patsy’s picture and colored in 2 ½ more blocks. What’s the area now?

BLUE:

Little Margaret thought she’d be funny and stuck four extra blocks on the end of the picture (when they were watching a commercial about dish soap) and colored in ¾ of them. She giggled when she surprised Little Patsy and Little Kamilah. What’s the area now?

HOMEWORK DECEMBER 21, 2017 NF.5

GREEN, RED, BLUE

Yesterday, Little Angie’s family got a pan of lasagna for dinner. Little Angie and her father shared equally one-third of the lasagna and left the remainder for her mother and three brothers to share equally. Draw a model to represent the amount of lasagna Little Angie and her father shared. EXPLAIN USING MATH VOCABULARY.

RED, BLUE:

Little Shirley LOVED lasagna, but her father never made it. So she snuck into Little Angie’s house and stole 1 ½ pieces of the remaining lasagna. Now how much lasagna is gone? Draw a model.

BLUE:

As Little Shirley was climbing out of the window, Little Gumshoe caught Little Shirley red handed and made her put the lasagna back. But Little Shirley already ate half of the ½ pieces that she stole. So she put back the remainder she had left. Now how much is left? Draw a model.

HOMEWORK DECEMBER 22, 2017 NF. 5a

GREEN, RED, BLUE

Write whether the statement below is true or false. EXPLAIN!!!! Your answer using words and numbers.

Little Litz Bitz says that the product of 3/5 and 6 is greater than 6. Is this true? (First show the work. Then explain using fractions and compare to whole numbers. Use the words portion or piece to help explain).

RED, BLUE:

Little Jake from State Farm wants to find out if changing the denominator will make a difference in creating a product that is bigger than 6. He experiments using donuts and breaking them into pieces. Hint: Show a model using donuts and change the fraction from 3/5 to something else.

BLUE:

Little Gabby Douglas loves donuts, especially the ones with the colorful sprinkles. So when Little Jake from State Farm turned around, she shoved ½ pieces pieces in her mouth and ran away. Show this as a model. So then Little Bri felt bad that Little Jake from State Farm was upset. Little Bri got on her bike and went to Krispy Kreme and purchased 3 donuts. Use these whole donuts in your model and find this product and 6. Is it now bigger than 6?

HOMEWORK January 2, 2018 NF. 5a

GREEN, RED, BLUE

Little Kyrstle says that one of the equations can be used to find the area of the poster. The length and width of her poster is 2 ½ feet each.

Which operation could you perform to find the area of this poster? EXPLAIN USING MATH VOCABULARY!

2 ½ x 4

2 ½ x 2 ½

2 ½ / 2 ½

2 ½ x 2

GREEN, RED, BLUE: What would the equation change to if the length and width had 1 foot cut off on each side?

RED, BLUE:

Little Marsha was chasing Little Jamar with scissors. He was screaming at the top of his lungs. Little Marsha tripped on a dog bone and cut off ¾ of a foot of the length. What is the area now?

BLUE:

Little KK did not like these antics one bit. She grabbed the scissors and took them away. But Little Ian thought it was funny to freak her out. So he hastily cut off another 2/3 off the width. What is the area now? Then Little David felt bad, so he taped some paper onto both ends. However, it was only ¼ of a foot. Now what is the area? Bonus: WHAT IS THE AREA IN INCHES; SO DO YOUR CONVERSIONS!!!!

HOMEWORK January 3, 2018 NF. 5b

GREEN, RED, BLUE

Little Savvy drew these pictures and asked anyone who would listen, which equations modeled the figures. Little David loves math so he was game. EXPLAIN USING MATH VOCABULARY.

Yes No SHOW YOUR WORK HERE:

4 x 5/1= 5/4 ___ ___

1/5 x 4= 4/20 ___ ___

4 x 1/5 = 4/5 ___ ___

4 x 5/1 = 20/4 ___ ___

RED, BLUE

Little Savvy turned her head and Little JJ and Little KK colored in 2 more wedges on each circle. Now what is the mixed number? What is the improper fraction?

BLUE:

Little Savvy didn’t think that was funny. Little Litz Bitz felt bad. So, she tried to erase what Little KK and Little JJ did. However, she could only erase 1 ½ of the wedges that the girls colored. What is the new total? What is the mixed number? What is the improper fraction? What is the multiplication equation? What is the addition sentence?

HOMEWORK January 4, 2018 NF. 5b

*NOTE: WE HAVE 40 STUDENTS IN 5th GRADE

GREEN, RED, BLUE

The recipe for homemade ice cream calls for ½ cup of milk for each student. How many cups of milk total will our class use? Little Lavontay is an ice cream maker and makes 1 ice cream every day of the year (365) and delivers them. If there were 44 customers, how many ice creams would he deliver? EXPLAIN USING MATH VOCABULARY.

RED, BLUE:

A gallon of milk has 128 ounces in the container. If each cup is 8 ounces, how many gallons of milk did the whole class use?

BLUE:

If we reduce the milk to ¼ cup per student, how many cups of milk will our class use? Covert that to gallons. NOW for some fun. Half the class uses ½ cup and the other half of the class uses ¼ cup. Find out how many cups total and then convert that to gallons. BONUS: What if ½ of the half only want to use ½ of that ½ ? The other half still use ¼ . How many cups is that?

HOMEWORK January 5, 2018 5.NF.6

GREEN, RED, BLUE Draw boxes around the grid to show your work. What equation is represented by the following visual model? EXPLAIN USING MATH VOCABULARY.

¾ x 2/6= 6/24

4/6 x ¼ = 4/24

6 x 2/6= 12/6

12 x ¼ = 12/4

RED, BLUE

Thor was running with scissors (you should never run with scissors!!!). He tripped on his fat pug feet and cut off 2/6 of the poster above. Now what is the equation that can be used?

BLUE

Carter felt bad that Thor was crying so he made a boot leg poster but miscalculated and only replaced half of (what was cut off). Now what are some equations that will be represented by this new information?

HOMEWORK January 8, 2018 5.NF. 6

GREEN, RED, BLUE

Simon is solving the problem, 125 ÷ 5 using an area model and the distributive property. What number goes in the box above 100? EXPLAIN USING MATH VOCABULARY.

? + 55 100 25

GREEN, RED, BLUE: Draw a model that best represents the number sentence, 48 ÷ 4= 12

Red, BLUE

Make up your own distributive property problem like the one above but use different numbers that make the equation true.

BLUE

Make up a 2-step word problem that uses distributive property and solve it.

HOMEWORK JANUARY 9, 2018 5.NF. 7a

GREEN, RED, BLUE

The inverse operation means the OPPOSITE. (Like addition/subtraction and multiplication/division)

Which statement uses the relationship between multiplication and division (inverse operation) in explaining the computation of the quotient? (Multiply them all out). EXPLAIN USING MATH VOCABULARY.

2÷ (1/5)=1/10 because 1/10 x (1/5)=2

3÷ (1/3)= 1/9 because 1/9 x (1/3)= 3

6÷ (1/2)= 12 because 12 x (1/2)= 1/12

4÷ (1/4)= 16 because 16 x ¼= 4

RED, BLUE

Make up TWO problems like the one above to demonstrate the inverse operation of multiplication and division.

1.

2.

BLUE

Challenge yourself by trying the combinations of mixed numbers and then decimals to show the relationship between multiplication and division using the first problem as an example.

HOMEWORK JANUARY 10, 2018 5.NF.7a

GREEN, RED, BLUE

Remember the cakes that Little Elser and Little Tyler bought? Well, Little Kamilah decided than she would make more flan. She also made three flans and divided them into 3 parts. Show this. Now, she decided that the piece of flan was too big for one person, so she decided to divide EACH third into THIRDS. Show this in your second set of models. EXPLAIN USING MATH VOCABULARY.

Model 1= (3 flans and divide them into 3 parts each)

Model 2= (3 flans and divide them into 3 parts each then 3 more parts each: you’ll get a larger denominator)

RED, BLUE:

Little Henrietta was hungry, so she stole a flan (use model 2). It was divided into so many pieces! Little Marsha invited her cousin Mario over to help her eat the flan. They each ate 2 ½ pieces then decided they were finished. How much Flan is left? Draw a model and give the remaining fraction.

BLUE:

Little Midge felt left out of the Flan party. In order to get even, she stole another flan. She cut the pieces in half again, then ate ½ of the ½ of flan. How much did she eat and how much is left over?

HOMEWORK JANUARY 11, 2018 5.NF. 7b Division of Fractions and Models

GREEN, RED, BLUE: This whole flan thing was getting out of control and Little Tyrell did not like it one bit. He thought it was a better idea to cut up pizzas instead. He made one LARGE pizza and cut it into thirds. (Show this in box A) Then Little Jade called and said she was coming over for dinner. So, Little Tyrell decided to cut the thirds into thirds. (Show this in box B). Little JJ called and said she was coming over too. Little Mr. Eugene Krabs likes everything to be labeled, so Little Eugene Krabs got to work and labeled EACH piece of pizza. (Show this in box C) EXPLAIN USING MATH VOCABULARY.

A (Pizza into thirds) B (Cut the thirds into thirds) C (Now label the pizza with the correct denominators)

RED, BLUE: Little Bailey was super excited about the labels and dividing the pizzas. However, he was really hungry and ate 5 pieces! He knew Little JJ would be upset, so he called Papa Johns and ordered another pizza to make up the difference. The pizza arrived uncut. Divide the pizza so that it models a mixed number (show in box A) and then cut each slice in half (Show in box B.) What is the fractional portion of EACH piece? (show in box C)

A B C

BLUE: Create pizzas to show a fraction larger than one and label the fractional portions. (on back) Convert to decimals, give the mixed number and decimals.

HOMEWORK JANUARY 12, 2018 5.NF.7c: Division of Fractions

GREEN, RED, BLUE

Carter is very thirsty. The line plot below displays the amount of water, in gallons, that Carter drank each day during the month of February.

Amount of Water Drank (in Gallons)

x

x

x x

x x

X x x x

x x x x

x x x x x

x x x x x

x x x x x

______________________________________________________________________________

1/8 ¼ ½ ¾ 7/8

1. How many days did Little Carter drink more than ½ of a gallon of H2O?

2. What was the total amount he drank on the days where he drank more than ½ gallon of H2O?

3. Carter and Thor go hiking. They bring a container with them that holds ½ gallon of water. If they share the water equally, what fraction will Thor get? What fraction will Carter get? EXPLAIN USING MATH VOCABULARY. (On the back)

RED, BLUE: Simon decided he wanted to calculate how many days Carter drank ¼ gallons or less. What was the total amount Carter drank ¼ or less gallons of H2O?

BLUE: What is the total amount of gallons Carter drank the whole month? If he continued this pattern, would every February of EVERY year look like this?

HOMEWORK JANUARY 15, 2018 5.NBT. 7 Decimals

GREEN, RED, BLUE

You can use the hundreds blocks to find out the answer to the following problem (or you can use a standard algorithm): If 4.2 pounds of apples cost $5.25, what is the price of 1 pound of apples? EXPLAIN USING MATH VOCABULARY.

RED, BLUE

Thor loves apples so he goes to Giant and decides to purchase 8.1 pounds. Using the cost above, how much will Thor pay? What if he uses his Giant card that gives him $0.15 off the price per pound, how much will Thor pay now?

BLUE

Giant has a sale that when you buy 7 pounds of apples or more than the price is 1/5 less a pound. How much per pound are the apples and how much would 7.4 pounds be?

HOMEWORK JANUARY 16, 2018 5.NBT.7 DECIMALS

GREEN, RED, BLUE

Four of the donkeys at Old MacDonald’s farm decided to buy the Farmer a gift. If they each spent $22.13 each, how much did they spend altogether? Explain using math vocabulary.

RED, BLUE

Little Fred the Donkey wanted to help pay for the Farmer’s gift since the Farmer got Little Fred braces (because the Chickens kept making fun of Little Fred’s buck teeth). Using the total amount above, how much will each donkey pay now?

BLUE

The five donkeys need to pay tax on their gift. If tax is 6 cents on the dollar, how much will each donkey pay now? (Hint: make sure you put 6 cents into correct place value format, then move the decimal after you multiply).

HOMEWORK JANUARY 17, 2018 NO CALCULATORS!!! SHOW YOUR WORK!

3.05 x 45 12.12 x 4

1.25 x 1.3 212 x 1.1

34 x 4.5 7.17 x 5.6

9.12 x 3.3 365 x 138

HOMEWORK JANUARY 18, 2018

456 X 92 671 X 51

907 X 1.1 635 X 3.1

868 X 77 909 X 25

465 X 112 265 X 414

HOMEWORK JANUARY 19, 2018 DIVIDE USING YOUR JOURNAL NOTES: NO REMAINDERS! USE DECIMALS. THE REMAINDER DOES NOT BECOME THE DECIMAL!!!

888 ÷ 77 635 ÷ 7

515 ÷ 6 342 ÷ 11

761 ÷ 22 989 ÷ 15

8765 ÷ 9 3421 ÷ 10