Example Formative Assessment Questions – NF.1 and NF.2 5th Grade (questions came from “Performance Coach”, Harcourt GO Math, OAS, and various websites) This is not meant to be printed off and given as a test…this document is to give you ideas of how this standard might be assessed. Please use these as an example when you are developing your own formative assessments. Remember formative assessment is to be given throughout the teaching of a standard to help you guide your instruction based on students needs. A good formative assessment should have a mix of multiple choice as well as open ended. 1. Matt ran 3/8 mile and walked 7/10 mile. Which pair can he use to find how far he went in all? a. 15/40 and 29/40 b. 35/40 and 21/40 c. 35/40 and 37/40 d. 30/80 and 70/80
2. Francine wants to find a total of 2/3 cups of blueberries and a total of 5/8 cup of raspberries. What is the least common denominator of these fractions? a. 10 b. 11 c. 18 d. 24
3. 1 1/6 + 1 5/6 – what is the best estimate? a. ½ b. 3 c. 3 ½ d. 4
4. 2/5 + 1/3 – what is the quickest way to find the least common denominator? a. multiply denominators since they share no common factors other than 1 b. find all multiples of each denominator c. One denominator is the multiple of the other so the multiple is the least common denominator. d. Add denominators to find least common multiple.
Use this rubric for the following open ended problems…. There is one quart of chocolate milk in the refrigerator. Michael drinks 1/2 of the quart. Nancy drinks 1/3 of the quart. How much chocolate milk did Michael and Nancy drink altogether? How much of the original quart is left?
John brought a pizza to a party. His friend Sally also brought a pizza to the party. At the end of the party, John had 1/4 of his pizza left. Sally had 3/8 of her pizza left. How much pizza was left at the end of the party? How much pizza was eaten?
June baked 2 1/3 dozen muffins. Mike baked 1 ¾ dozen muffins. How many dozens of muffins were baked in all?
Ron walked 8/10 of a mile and then walked 9/10 of a mile. Use benchmarks and estimate about how far he walked altogether?
Barbara uses 7/9 yard of wire to fix the fan. She uses 1/3 yard of wire to fix the switch. How much more wire does she use to fix the fan than the switch?
Some more examples of open ended questions….. Some more examples of open ended questions…..
Some more examples of open ended questions….. Some more examples of open ended questions….. Ella completed 3/8 of a puzzle during recess on Tuesday. Joy completed 2/6 of the same puzzle during recess on Wednesday.
How much of the puzzle did the two girls complete?
Use what you know about fractions to explain how you found your answer. Use numbers and/or words in your explanation.
Some more examples of open ended questions….. Some more examples of open ended questions….. A Road Construction Company is paving a road. During the first week the 3 company paved 15 miles. 8 1 During the second week, the company paved 22 miles. 3
How much of the road was paved during the first two weeks?
The company will have to finish the 45 mile road during the third week of paving. How many miles will the company have to pave during the third week? Use what you know about fractions to explain why your answer is correct.
NEW! Timmy walked 3/10 mile to the store. Then he walked 1/5 mile to the coffee shop. How far did Timmy walk altogether? Draw fraction strips to model the total number of miles Timmy walked. Then draw fraction strips to show equivalent fractions with common denominator. Find the sum.
NEW! Which problem has a sum or difference of 7/12? Circle all that apply. a. ¾ + 1/6 b. ¾ - 1/6 c. 1/3 + ¼ d. ¼ + 1/6 + 1/12 e. 2/3 – 1/12 f. 2/3 + 1/6
NEW! The table shows the amount of time Caroline practiced her piano last week. Day of Week Monday Wednesday Thursday Time in hours 1 1/3 2 1/2 1 3/4
Part A: Caroline wants to find the total time she spent practicing. What is the first step she should take to add the times?
Part B: Find the total number of hours Caroline practiced her piano. Show your work.
NEW! Brad says that ½ + 1/3 = 2/6. What mistake did Brad make?
NEW! Lakeshia needs to find the sum of 3/6 and 2/3. Could she multiply the denominators to find a common denominator? Explain why she may or may not want to do this.
NEW! Amy had 7/8 quart of juice. She used 1/6 quart for a recipe.
Part A: how much juice does Amy have left? Show your work
Part B: Explain how you can check your answer.
NEW! Find the value of 5/8 + 2/3 – ¼. Use words, numbers, or models to justify your answer.
NEW! Marissa bought two pieces of ribbon to decorate a board. One piece was 3/5 yard long. The other piece was ½ yard long. What is the total length of ribbon Marissa bought? Use words, pictures, or numbers to justify your answer.
NEW! Gina has 3/5 quart of milk. She drank 1/3 quart. How much mild does she have now? Explain how you know your answer is reasonable.
NEW! The table shows the ingredients, in cups, that Rico used in his smoothie recipe. Mixed Berries Yogurt Milk 2 1/2 1 1/3 1 1/4
Part A: write each mixed number as an improper fraction. Find a common denominator. Then write the equivalent fractions for the improper fractions. Show your work.
2 ½ = _____ = ______
1 1/3 = ______= ______
1 ¼ = ______= ______
Part B: Find the total number of cups of ingredients in Rico’s smoothie. Show your work.
NEW! Kerry is planting a garden. She will plant 3/10 of her garden with herbs, and 3/5 of her garden will be vegetables. She will plant flowers in the rest of her garden. Write true or false for each statement. a. 1/5 of her garden is flowers b. 9/10 of her garden is herbs and vegetables c. 7/10 of her garden is flowers and vegetables d. 3/10 of her garden is flowers and herbs
NEW! Marcus made a fruit salad with 1/3 cup blueberries, 5/8 cup strawberries, and 5/6 cup bananas. Part A: how much fruit salad did Marcus make? Part B: Use benchmark fractions to determine if your answer is reasonable Part C: Explain how you determine if your estimate for 1/3 + 5/8 + 5/6 is greater than the actual sum.
NEW!