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5th Grade Math

Arizona 5th Grade Math Curriculum

Video lessons and practice for every 5th grade math topic. Aligned to Arizona Mathematics Standards so Arizona students can keep up, catch up, or get ahead.

Arizona 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 in Arizona

Arizona 5th grade math covers a wide range of topics that build on skills from earlier grades. Students work with numerical expressions, place value, decimals, fractions, measurement, volume, coordinate planes, and two-dimensional figures. All topics follow Arizona Mathematics Standards, which guide what Arizona students learn each year.

Key Topics in Arizona 5th Grade Math

  • Writing and evaluating numerical expressions using parentheses, brackets, and braces
  • Understanding place value in multi-digit numbers and powers of 10
  • Reading, writing, comparing, and rounding decimals to the thousandths
  • Multiplying multi-digit whole numbers and dividing with up to four-digit dividends
  • Adding, subtracting, multiplying, and dividing decimals to hundredths
  • Adding and subtracting fractions with unlike denominators, including mixed numbers
  • Multiplying fractions and whole numbers by fractions
  • Dividing unit fractions by whole numbers and whole numbers by unit fractions
  • Converting measurement units within the same measurement system
  • Understanding and measuring volume using unit cubes and formulas
  • Graphing points in the first quadrant of a coordinate plane
  • Classifying two-dimensional figures based on their properties

How StudyPug Helps Arizona 5th Graders

StudyPug provides video lessons and practice problems for every topic in the Arizona 5th grade math curriculum. Each lesson is short — typically 5 to 15 minutes — so students can focus on one concept at a time. Students can pause, replay, and practice problems right after watching, which helps reinforce what they learned in class.

Whether your child needs help with homework, is preparing for the AASA assessment, or wants to get ahead before 6th grade, StudyPug covers every Arizona Mathematics Standards topic for 5th grade.

Preparing for the AASA in 5th Grade

Arizona administers the AASA (AzSCI) state assessment in grades 3 through 8. Fifth grade is a tested year for math. StudyPug's topic-by-topic coverage aligned to Arizona Mathematics Standards means students can practice every skill that may appear on the AASA. Consistent practice with video lessons and worked problems builds the confidence students need on test day.