Unit 1 Standards Covered:

NC.5.MD.2

Represent and interpret data.

Collect data by asking a question that yields data that changes over time.
Make and interpret a representation of data using a line graph.
Determine whether a survey question will yield categorical or numerical data, or data that changes over time.

NC.5.G.1

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

Generate two numerical patterns using two given rules.

Identify apparent relationships between corresponding terms.
Form ordered pairs consisting of corresponding terms from the two patterns.
Graph the ordered pairs on a coordinate plane.

Quarter 1 - In Unit 1 students will work on collecting and representing information on line graphs. They will learn how to plot points (ordered pairs) in the first quadrant of the coordinate plane. Students will also students will work with finding patterns and rules for given pairs of numbers (input/output)

In Unit 2, students will work to write and solve numerical expressions. They will be multiplying and dividing whole numbers (up to 3 digits) using models and eventually standard algorithm.

Unit 2 Standards Covered:

NC.5.OA.2

Write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving:

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

NC.5.NBT.5

Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number.

NC.5.NBT.6

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

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

Relate volume to the operations of multiplication and addition.

Unit 3 - Using Models to Multiply and Divide Fractions

NC.5.NF.3 - Use fractions to model & solve division problems:

Interpret fractions as an equal sharing context.
Model & interpret fractions as the division of the numerator by the denominator.
Solve 1-step word problems involving division of whole #s leading to answers in the form of fractions & mixed numbers, w/denominators of 2, 3, 4, 5, 6, 8, 10, & 12, using area, length, set modes & equations.

NC.5.NF.4 - Apply/extend understanding of multiplication to multiply a fraction or whole # by a fraction/mixed #:

Use area & length models to multiply fractions.
Explain why multiplying a number by a fraction >1 results in a product > than the given # & when multiplying a number by a fraction <1 results in a product < than the given #.
Solve 1-step word problems involving multiplication of fractions w/models.

NC.5.NF.7 - 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.

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

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

Unit 4 - Understanding Place Vaule in the Context of Metric Measurement

NC.5.NBT.1 - Explain patterns in the place value system from one million to the thousandths place:

Explain that a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.

NC.5.NBT.3 - Read, write, and compare decimals to thousandths:

Write decimals using base-ten numerals, number names, and expanded form.
Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and <, symbols to record the results of comparisons.

NC.5.MD.2 - Represent and interpret data.

Collect data by asking a question that yields data that changes over time.
Make and interpret a representation of data using a line graph.
Determine whether a survey question will yield categorical or numerical data, or data that changes over time.

Unit 5 - Using Models to Add and Subtract Decimals and Fractions

NC.5.NF.1 - Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths.

Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.

NC.5.NBT.7 - Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
Use estimation strategies to assess reasonableness of answers.

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

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

Unit 6 - Using Models to Multiply and Divide Whole Numbers, Decimals, and Fractions

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

NC.5.NBT.5 - 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 - 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 - Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value.
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.
Use estimation strategies to assess reasonableness of answers.

NC.5.NF.4 - Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers.

Use area and length models to multiply two fractions with the denominators 2, 3, 4.
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.
Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

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

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

Unit 7 - Classifying Quadrilaterals

NC.5.G.1 - 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 - 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.