MassachusettsMassachusetts 5th Grade Math Curriculum
Video lessons and practice for every 5th grade math topic. Aligned to the Massachusetts Mathematics Curriculum Framework standards.
Massachusetts 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 Massachusetts
Massachusetts 5th grade math is built around the Massachusetts Mathematics Curriculum Framework, which sets clear expectations for what students learn each year. In 5th grade, students move into more advanced number work, including operations with fractions and decimals, and begin exploring geometry and data concepts in greater depth.
Operations and Algebraic Thinking
Students learn to write and evaluate numerical expressions using parentheses, brackets, and braces. They also generate and analyze two numerical patterns simultaneously, then graph those patterns as ordered pairs on a coordinate plane. These skills lay the groundwork for algebra in middle school.
Number and Operations in Base Ten
Place value understanding expands significantly in 5th grade. Students recognize how digits shift in value by powers of 10, work with whole-number exponents, and read, write, and compare decimals to the thousandths place. They also round decimals and fluently multiply multi-digit whole numbers using the standard algorithm.
- Multiply multi-digit whole numbers fluently
- Divide with up to four-digit dividends and two-digit divisors
- Add, subtract, multiply, and divide decimals to hundredths
Fractions
Fractions are a major focus in 5th grade. Students add and subtract fractions with unlike denominators, interpret fractions as division, and extend multiplication and division to include fractions and mixed numbers. Word problems help students apply these skills to real-world situations.
Measurement, Data, and Geometry
Students convert measurement units within the same system and use line plots to display fractional data. Volume is introduced as a measurable attribute of three-dimensional figures, and students learn to calculate it using formulas and unit cubes. In geometry, students classify two-dimensional figures and use a coordinate plane to represent and solve real-world problems.
StudyPug covers every one of these topics with focused video lessons and practice problems, all aligned to what Massachusetts schools teach in 5th grade.