MichiganMichigan 5th Grade Math Curriculum
Video lessons and practice for every 5th grade math topic. Aligned to Michigan Mathematics Standards so your child keeps up with what school teaches.
Michigan 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 Michigan
Michigan 5th grade math covers a wide range of topics aligned to the Michigan Mathematics Standards. Students work through numerical expressions, place value with decimals, fraction operations, measurement conversions, volume, coordinate geometry, and two-dimensional figure classification. StudyPug provides a video lesson and practice problems for each of these topics.
Fractions and Decimals
A major focus of 5th grade math in Michigan is 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 hundredths.
Expressions and Patterns
Michigan 5th graders are introduced to algebraic thinking. They evaluate numerical expressions using parentheses, brackets, and braces, write simple expressions from calculations, and generate number patterns using two rules. These skills lay the groundwork for algebra in later grades.
Measurement, Data, and Volume
Students convert between measurement units within the same system and use line plots to display fractional data sets. Volume is a key new concept — students recognize volume as an attribute of solid figures, count unit cubes, and apply multiplication and addition formulas to solve real-world volume problems.
Coordinate Plane and Geometry
- Use perpendicular axes to define a coordinate system
- Graph and interpret points in the first quadrant
- Understand that attributes of a shape category apply to all subcategories
- Classify two-dimensional figures in a hierarchy based on their properties
StudyPug covers every one of these Michigan Mathematics Standards topics with clear video lessons and targeted practice so your child can build confidence heading into 6th grade.