UtahUtah 5th Grade Math Curriculum
Video lessons and practice for every 5th grade math topic. Aligned to Utah Core Standards Math so your child keeps up with what Utah schools teach.
Utah 5th Grade Math Curriculum | StudyPugHelp
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 Utah
Utah 5th grade math covers a wide range of topics aligned to the Utah Core Standards Math. Students work with numerical expressions, place value, decimals, fractions, measurement, volume, coordinate planes, and two-dimensional figures. Each topic builds the skills students need to succeed in 6th grade math and beyond.
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. They also read, write, compare, and round decimals to the thousandths place, and perform all four operations with decimals to the hundredths.
Algebra and Numerical Expressions
Utah 5th graders begin working with algebraic thinking by writing and evaluating numerical expressions using parentheses, brackets, and braces. They generate number patterns from rules, form ordered pairs, and graph those pairs on a coordinate plane.
Volume and Measurement
Students explore volume as an attribute of three-dimensional figures, measure volume by counting unit cubes, and apply formulas to solve real-world volume problems. They also convert between different units of measurement within the same measurement system.
Geometry
In geometry, 5th graders classify two-dimensional figures based on their properties and understand how categories of shapes relate to subcategories. They use a coordinate plane to graph and interpret real-world mathematical problems.
How StudyPug Supports Utah 5th Grade Math
StudyPug provides video lessons and practice problems for every topic in the Utah 5th grade math curriculum. Each lesson is short, focused, and easy to follow. Students can get started for free and explore lessons before subscribing. StudyPug is aligned to Utah Core Standards Math so every topic your child sees in school is covered on the platform.