NC.4.NF.6

• What is the relationship between decimals and fractions?

• Is it easier to convert a fraction to a decimal when the denominator is a multiple of 10? An even number? An odd number?

• Rewrite this number sentence using decimals : 40/100 + 2/100 = 42/100.

• Write three decimals that are in between ¼ and ¾? How do you know your answer is correct?

• Name two decimals that occupy the same point on a number line?

NC.4.NF.7

• How does your knowledge of fractions and/or place value help you compare decimals? Use the comparison of .6 and .36 in your response.

• Write four decimals that are in between .3 and .67?

• What decimal could be less than .7 but have a 9 in it?

• How can you arrange the digits 5,3,0 to create the smallest/largest decimal possible? How can you arrange these digits to create a decimal between .5 and .9?

• Megan has a collection of dimes and pennies and Jennifer has 64 pennies. Megan is arguing that she has more money even though she has less coins. What coins could Megan have that would make Megan correct? What coins could she have that would make Megan incorrect?

• How do you know that 0.04 < 0.40?

• When could .6 be smaller than .3? (e.g., .6 of a meter vs. .3 of a kilometer)

• What digits could be placed in the blank to make the number sentence true? 0.43 > 0.__9

NC.4.NF.3

• Why is ¼ + ¼ not equal to 2/8?Will 6/10 + 6/10 be greater than one whole? Explain how you know.

• How can you figure out what ¼ + ½ is without finding a common denominator? Explain how you found the answer.

• Decompose 11/12 in 3 different ways.

• Esther ate ¾ of a small pizza on Monday and she ate ¼ of a large pizza on Tuesday. She says that she has eaten a whole pizza. Is she correct? Why or why not? Explain your answer.

• Think of a time in your life where you might need to add or subtract fractions.

• How many ways can you decompose 7/8? Show your representations.

• What set of numerators can you find to make this equation true? Is there a different answer?

• 5/10 + 1/10 + 4/10 = /10 + /10 + _/10

• Lily is having a sleepover with 2 friends. They order one party size submarine sandwich and it is cut into 12 equal parts. They eat the entire sandwich, but each person has a different number of parts. What is one way the sandwich was shared? Write an equation to represent your answer equal to 12/12. Is there a different way the friends could have shared the sandwich?

• If the sum of two mixed numbers is 6, what could the two addends be?

• Is the sum of 4 ⅖ + 2 ⅘ over or under 7? Explain why or why not.

• Is the difference of 5 ⅔ - 3 ⅓ over or under 2? Explain why or why not.

• How can you demonstrate how 4 ½ is equal to 9/2? Use models, drawings and/or equations to explain your thinking.

• Write two problems that have a difference of 3 4/10?

• At noon, the bakery had 1 whole pumpkin pie and 5/12 of a pumpkin pie available to sell. At the end of the day, 3/12 of a pie was left. How much pumpkin pie did the bakery sell during the afternoon?

• Shelly needs 1 ⅜ cups of oats for a cookie recipe. How many cups of oats does Shelly need if she is tripling the recipe? (This question is not exclusive to multiplication of fractions, repeated addition can be used)

• The answer is 5 ⅙, write a story problem involving addition and/or subtraction to result in this answer.

• Jashae has 3 ¾ foot of yarn. She uses 1 ¼ foot of the yarn to make a bracelet. Then she gave her sister 1 ¼ foot of yard for her bracelet. How much yarn does she have left? Represent this problem visually.

• Don came home and found a fraction of a large pizza on the counter. He eats 3/8 of the pizza and now there is 2/8 of a pizza left. What fraction of the pizza was on the counter when he got home?

NC.4.NF.4

• Josh noticed that ⅓ + ⅓ + ⅓ +⅓ was the same as 4 x ⅓. Do you agree or disagree with Josh’s observation? Explain your thinking.

• What pattern do you notice when multiplying a whole number by a fraction? Why do you think this pattern occurs?

• When multiplying a whole number by a fraction, what happens to your product? Why is your product less than your original whole number? (also works for 4.NF.4b)

• What two factors can be multiplied to equal a product of 6/8?

• What is the relationship between decomposing fractions and multiplying fractions by a whole a number? (halving and doubling)

• Why is 3 x 2/6 the same as 6 x ⅙?

• What equation could equal the same product as 2 x 8/10?

NC.4.NF.6

• What is the relationship between decimals and fractions?

• Is it easier to convert a fraction to a decimal when the denominator is a multiple of 10? An even number? An odd number?

• Rewrite this number sentence using decimals : 40/100 + 2/100 = 42/100.

• Write three decimals that are in between ¼ and ¾? How do you know your answer is correct?

• Name two decimals that occupy the same point on a number line?