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NC.5.G.Geometry
Geometry
Understand the coordinate plane.
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
Understand concepts of volume.
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
NC.5.MD.5. Relate volume to the operations of multiplication and addition.
NC.5.MD.5.a. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
NC.5.MD.5.b. Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
NC.5.NBT.Number and Operations in Base Ten
Number and Operations in Base Ten
Perform operations with decimals.
NC.5.NBT.7. Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.
NC.5.NBT.7.a. Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
NC.5.NBT.7.c. 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.
NC.5.NBT.1. Explain the patterns in the place value system from one million to the thousandths place.
NC.5.NBT.1.a. Explain that in a multi-digit number, 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.
NC.5.NBT.3.b. Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Perform operations with multi-digit whole numbers.
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideOdd/Even
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
NC.5.NF.Number and Operations – Fractions
Number and Operations – Fractions
Use equivalent fractions as a strategy to add and subtract 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.
NC.5.NF.1.a. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Quiz, Flash Cards, Worksheet, Game & Study GuideEstimation
NC.5.NF.1.b. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
NC.5.NF.3.c. 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.b. 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. 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:
NC.5.OA.2.a. Parentheses, using the order of operations.