Quarter 1

Unit 1 • Creating Classroom Community through Data & Graphing

(NC.MD.2) Students will represent and interpret data.

• Students will collect data by asking a question that yields data that changes over time.
• Students will make and interpret a representation of data using a line graph.
• Students will determine whether a survey question will yield categorical or numerical data, or data that changes over time.

(NC.5.G.1) Students will graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.

(NC.5.OA.3) Students will generate two numerical patterns using two given rules.

• Students will identify apparent relationships between corresponding terms.
• Students will form ordered pairs consisting of corresponding terms from the two patterns.
• Students will graph the ordered pairs on a coordinate plane.

Study Guide Answers for Unit 1 Test - Students are given a study guide for the test to complete on their own. Once they have completed the study guide, answers can be reviewed online. They can earn $100 Track 1 bucks for completing the study guide!

Unit 2 • Use Models to Explore Properties of Multiplication & Division

(NC.5.OA.2) Students will write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving:

• Students will us parentheses, using the order of operations.
• Students will use commutative, associative and distributive properties.

(NC.5.NBT.5) Students will demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using models.

(NC.5.NBT.6) Students will find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division.

(NC.5.MD.4) Students will recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.

(NC.5.MD.5) Students will relate volume to the operations of multiplication and addition.

• Students will find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.
• Students will build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
• Students will find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.

Study Guide Answers for Unit 2 Test #1 - Students are given a study guide for the test to complete on their own. Once they have completed the study guide, answers can be reviewed online. They can earn $100 Track 1 bucks for completing the study guide!

Study Guide Answers for Unit 2 Test #2 - Students are given a study guide for the test to complete on their own. Once they have completed the study guide, answers can be reviewed online. They can earn $100 Track 1 bucks for completing the study guide!

Study Guide Answers for Unit 2 Test #2 - Students are given a study guide for the test to complete on their own. Once they have completed the study guide, answers can be reviewed online. They can earn $100 Track 1 bucks for completing the study guide!

Unit 3 • Use Models to Multiply and Divide Fractions

(NC.5.NF.3) Students will use fractions to model and solve division problems.

• Students will interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.
• Students will model and interpret a fraction as the division of the numerator by the denominator.
• Students will solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

(NC.5.NF.4) Students will apply and extend previous understandings of multiplication to multiply a whole number by a fraction, including mixed numbers.

• Students will use area and length models to multiply a fraction by a whole number, with the denominators 2, 3, 4.
• Students will explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number.

(NC.5.NF.7) Students will solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.