District of ColumbiaDC 5th Grade Math Curriculum
Video lessons and practice for every 5th grade math topic. Aligned to what DC schools teach so your child can keep up or get ahead.
DC 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 DC
Washington DC 5th graders cover a wide range of math skills that build toward middle school. From writing and evaluating numerical expressions to working with fractions, decimals, and volume, the 5th grade year is packed with important concepts. StudyPug covers every topic with clear video lessons and practice problems.
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 and divide fractions, and perform all four operations with decimals to the hundredths. These skills are foundational for 6th grade ratio and proportion work.
Algebraic Thinking
5th graders begin working with simple algebraic expressions and numerical patterns. They evaluate expressions using parentheses and brackets, generate number patterns from rules, and graph ordered pairs on a coordinate plane — skills that prepare them for pre-algebra.
Measurement and Volume
Students learn to recognize volume as an attribute of solid figures and measure it by counting unit cubes. They also solve real-world problems involving volume using multiplication and addition, and convert between units 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 their subcategories. They also work with the coordinate plane to represent and solve real-world problems.
- Numerical expressions with parentheses and brackets
- Decimal place value and rounding
- Multiplying and dividing multi-digit whole numbers
- Adding and subtracting fractions with unlike denominators
- Multiplying and dividing fractions and mixed numbers
- Volume of solid figures
- Coordinate plane and graphing
- Classifying 2D figures