Quarter 4

Unit 6 • Using Models to Multiply and Divide Whole Numbers, Decimals, and Fractions (continued)

(NC.5.MD.1) Given a conversion chart, students will use multiplicative reasoning to solve one-step conversion problems within a given measurement system.

(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 the standard algorithm.

(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. Use models to make connections and develop the algorithm.

(NC.5.NBT.7) Students will compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

• Students will add and subtract decimals to thousandths using models, drawings or strategies based on place value.
• Students will multiply decimals with a product to thousandths using models, drawings, or strategies based on place value.
• Students will divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths.
• Students will use estimation strategies to assess reasonableness of answers.

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

• Students will use area and length models to multiply two fractions 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.
• Students will solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

Unit 7 • Classifying Quadrilaterals

(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.G.3) Students will classify quadrilaterals into categories based on their properties.

• Explain that attributes belonging to a category of quadrilaterals also belong to all subcategories of that category.
• Classify quadrilaterals in a hierarchy based on properties.