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5th Grade Math

New Jersey 5th Grade Math Curriculum

Video lessons and practice for every 5th grade math topic. Aligned to NJ Student Learning Standards for Math so your child keeps up with class.

New Jersey 5th Grade Math Curriculum | StudyPugHelp

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ID

Standard

StudyPug Topic

5.OA.A.1

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.A.2

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

5.OA.B.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, and graph the ordered pairs on a coordinate plane.

5.NBT.A.1

Recognize 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.

5.NBT.A.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.A.3

Read, write, and compare decimals to thousandths.

5.NBT.A.4

Use place value understanding to round decimals to any place.

5.NBT.B.5

Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.B.6

Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

5.NBT.B.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.

5.NF.A.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.

5.NF.B.3

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).

5.NF.B.4

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

5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers.

5.NF.B.7

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

5.MD.3

Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

5.G.1

Use a pair of perpendicular number lines, called axes, to define a coordinate system.

5.G.2

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

5th Grade Math Topics in New Jersey

New Jersey 5th grade math covers a wide range of topics under the NJ Student Learning Standards for Math. Students build on earlier number skills and move into more advanced operations, measurement, and geometry. StudyPug has a video lesson and practice problems for every single standard.

Operations and Algebraic Thinking

Students learn to write and evaluate numerical expressions using parentheses, brackets, and braces. They also generate and analyze two numerical patterns, form ordered pairs, and graph them on a coordinate plane. These skills lay the foundation for algebra in later grades.

  • Evaluate expressions with parentheses, brackets, and braces
  • Write and interpret simple numerical expressions
  • Generate patterns and graph ordered pairs on a coordinate plane

Number and Operations in Base Ten

Place value understanding deepens significantly in 5th grade. Students explore how digits shift by powers of 10, read and write decimals to the thousandths, and round decimals to any place. They also master multi-digit multiplication and long division with two-digit divisors.

  • Place value relationships and powers of 10
  • Read, write, and compare decimals to thousandths
  • Round decimals to any place
  • Multiply multi-digit whole numbers using the standard algorithm
  • Divide up to four-digit dividends by two-digit divisors
  • Add, subtract, multiply, and divide decimals to hundredths

Number and Operations — Fractions

Fractions are a major focus in 5th grade. New Jersey students add and subtract fractions with unlike denominators, multiply fractions by whole numbers and other fractions, and divide unit fractions by whole numbers. Word problems connect these skills to real-world situations.

  • Add and subtract fractions with unlike denominators
  • Solve fraction word problems
  • Multiply fractions and mixed numbers
  • Interpret multiplication as scaling
  • Divide unit fractions by whole numbers and whole numbers by unit fractions

Measurement and Data

Students convert measurement units within a system, create line plots with fractional measurements, and explore volume as a measurable attribute of three-dimensional figures. They count unit cubes and apply multiplication and addition formulas to solve real-world volume problems.

  • Convert measurement units within a system
  • Create and interpret line plots with fractions of a unit
  • Understand and measure volume using unit cubes
  • Solve volume problems using multiplication and addition

Geometry

5th grade geometry introduces the coordinate plane and the classification of two-dimensional figures. Students plot points in the first quadrant and interpret coordinate values in context. They also explore how properties of shapes relate across categories and subcategories.

  • Define and use a coordinate system with perpendicular axes
  • Graph and interpret points in the first quadrant
  • Understand attribute relationships among 2D figure categories
  • Classify two-dimensional figures by properties in a hierarchy

How StudyPug Supports New Jersey 5th Graders

Every topic on this page maps directly to the NJ Student Learning Standards for Math. Whether your child needs help with tonight's homework or wants to get ahead before the NJSLA-M, StudyPug's short video lessons and practice problems make it easy to learn at their own pace. Get started today with free sample lessons.