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5th Grade Math

Indiana 5th Grade Math Curriculum

Video lessons and practice for every 5th grade math topic. Aligned to Indiana Academic Standards for Math so Indiana students can keep up and get ahead.

Indiana 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.

Indiana 5th Grade Math: Key Topics

Indiana 5th grade math covers a wide range of topics that build the foundation for middle school mathematics. Students work through numerical expressions, place value with decimals, fractions, measurement, geometry, and data — all aligned to Indiana Academic Standards for Math.

Numerical Expressions and Patterns

Students learn to use parentheses, brackets, and braces in numerical expressions and evaluate them correctly. They also write and interpret simple expressions, and generate numerical patterns using given rules. These skills introduce early algebraic thinking that carries into 6th grade.

Decimals and Place Value

5th graders explore how digits in a multi-digit number relate to each other by powers of 10. They read, write, and compare decimals to the thousandths place, round decimals to any place, and use whole-number exponents to represent powers of 10. Multiplying and dividing decimals by powers of 10 is a key skill at this level.

Whole Number and Decimal Operations

Indiana 5th grade math expects fluency with multi-digit multiplication using the standard algorithm and division with up to four-digit dividends and two-digit divisors. Students also add, subtract, multiply, and divide decimals to the hundredths place using place value strategies and concrete models.

Fractions

Fractions take center stage in 5th grade. Students add and subtract fractions with unlike denominators, solve word problems involving fractions, and interpret a fraction as division. They extend their understanding of multiplication to include fractions and mixed numbers, and explore division of unit fractions by whole numbers and vice versa.

Measurement and Data

Students convert between different units within the same measurement system and create line plots to display fractional data sets. Volume is introduced as an attribute of solid figures, with students measuring volume by counting unit cubes and applying multiplication and addition formulas to solve real-world problems.

Geometry and the Coordinate Plane

5th graders learn to use a coordinate plane with two perpendicular number lines. They graph points in the first quadrant and interpret coordinate values in real-world contexts. Students also classify two-dimensional figures based on their properties and understand how shape categories and subcategories relate to each other.

Preparing for ILEARN

Indiana's ILEARN assessment tests 5th grade math as part of the grades 3–8 assessment program. StudyPug's lessons and practice problems align directly to Indiana Academic Standards for Math, helping students feel prepared for every topic that may appear on the ILEARN test.