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5th Grade Math

Iowa 5th Grade Math Curriculum

Video lessons and practice for every 5th grade math topic. Aligned to Iowa Core Math Standards so Iowa students can keep up with class or get ahead.

Iowa 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 Covered

Iowa 5th grade math is a big year. Students move from whole-number operations into fractions with unlike denominators, decimal arithmetic, and early algebra. StudyPug has video lessons and practice for all 26 topic areas aligned to Iowa Core Math Standards, so no topic gets left behind.

Fractions and Decimals

A large part of 5th grade math focuses on fractions and decimals. Students learn to add and subtract fractions with unlike denominators, multiply fractions by whole numbers and other fractions, and divide unit fractions by whole numbers. On the decimal side, students read, write, and compare decimals to the thousandths place, and add, subtract, multiply, and divide decimals to the hundredths. StudyPug breaks each of these skills into short, clear video lessons with practice problems to match.

Expressions and Patterns

Iowa 5th graders also start working with algebraic thinking. They learn to use parentheses and brackets in numerical expressions, write and interpret simple expressions, and generate number patterns using two rules. StudyPug's lessons walk students through each step so they can handle these problems with confidence.

Geometry and Coordinate Planes

5th grade introduces the coordinate plane. Students plot points in the first quadrant, interpret coordinate values, and classify two-dimensional figures by their properties. These skills build the foundation for middle school geometry and algebra. StudyPug covers every geometry topic with clear explanations and visual examples.

Volume

Students learn to recognize volume as an attribute of solid figures, measure volume by counting unit cubes, and solve real-world problems using multiplication and addition. StudyPug's video lessons make volume concepts easy to visualize and understand.

Aligned to Iowa Core Math Standards

Every StudyPug lesson for Iowa 5th grade math is aligned to the Iowa Core Math Standards. Iowa students are assessed through the ISASP in grades 3 through 8, including 5th grade. StudyPug covers all the skills tested so students are prepared when assessment time comes.