Curriculum and Instruction Support

Check-In 2016-17 School Year

Interim AssessmentsGrade 5 Mathematics

Curriculum and Instruction Support

for Math Check-In

INTERIM III

(Resources from NCDPI Mathematics Wiki)

Mathematical Practices

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others. / 4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

Number & Operations in Base Ten5.NBT

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Tasks
Clay Boxes / 5.NBT.7 Task 1
John’s Canvas / 5.NBT.7 Task 2
Lessons
Multiplying Whole Numbers by Decimals…page 53 / Lessons for Learning
Window Time…page 57 / Lessons for Learning
Games
Decimal Dynamo…page 23 / 5th Grade Games

Number & Operations—Fractions5.NF

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Tasks
Baking Cookies / 5.NF.2 Task 1
To Add or Not To Add? / 5.NF.2 Task 2
Games
Color the Door…page 44 / 5th Grade Games
Rolling, Rolling, Rolling…page 48 / 5th Grade Games

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Tasks
Basketball or Football? / 5.NF.4 Task 1
Folded Paper Lengths / 5.NF.4 Task 2
Model That Area / 5.NF.4 Task 3
Fundraiser Brownies / 5.NF.4 Task 4
Lessons
Servings at the Fifth Grade Ice Cream Party…page 1 / Lessons for Learning
Collecting Recyclables: Part 1…page 14 / Fifth Grade Fraction Unit
Collecting Recyclables: Part 2…page 20 / Fifth Grade Fraction Unit
Servings at the Fifth Grade Ice Cream Party…page 26 / Fifth Grade Fraction Unit
Tiling the Walls of the Art Room…page 33 / Fifth Grade Fraction Unit
Games
Parts of a Whole…page 22 / 5th Grade Games
The Whole Matters…page 38 / 5th Grade Games
Multiplying Fractions Millionaire Game…page 53 / 5th Grade Games

5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Tasks
Multiplying Fractions with Color Tiles / 5.NF.6 Task 1
Bird Feeder Fractions / 5.NF.6 Task 2
Areas of Playground Equipment / 5.NF.6 Task 3
Areas of Classroom Furniture / 5.NF.6 Task 4
Lessons
Servings at the Fifth Grade Ice Cream Party.page 1 / Lessons for Learningg
Part 1: Collecting Recyclables…page 14 / Fifth Grade Fraction Unit
Part 2: Collecting Recyclables…page 20 / Fifth Grade Fraction Unit
Servings at the Fifth Grade Ice Cream Party…page 26 / Fifth Grade Fraction Unit
Tiling the Walls of the Art Room…page 33 / Fifth Grade Fraction Unit
5.NF.6 Games
Convert Improper fractions to Mixed Numbers…page 53 / 5th Grade Games

5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

1 Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.

Tasks
Sloan’s Coins / 5.NF.7 Task 1
Sullivan’s Bakery / 5.NF.7 Task 2
Mackenzie’s Sugar / 5.NF.7 Task 3
Writing a Division Story / 5.NF.7 Task 4
Creating Stories / 5.NF.7 Task 5
What is Being Modeled? / 5.NF.7 Task 6
What is Being Modeled? II / 5.NF.7 Task 7
How Many Cookies? / 5.NF.7 Task 8
How Many Clear Beads? / 5.NF.7 Task 9
Lessons
Sharing Prizes at the Spring School Carnival…page 45 / Fifth Grade Fraction Unit
Division of Whole Numbers by Unit Fractions /
Divide a Unit Fraction by a Whole Number /
Games
Decimal Dynamo…page 23 / 5th Grade Games

NC DEPARTMENT OF PUBLIC INSTRUCTION1
Kitty Rutherford