Colorado 5th Grade Math Curriculum
Video lessons and practice for every 5th grade math topic. Aligned to Colorado Academic Standards Math so your child learns exactly what Colorado schools teach.
Colorado 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 Colorado
Colorado 5th graders cover a wide range of math skills under the Colorado Academic Standards Math. From writing and evaluating numerical expressions to graphing points on a coordinate plane, every topic builds the foundation students need for middle school math.
- Numerical expressions using parentheses, brackets, and braces
- Patterns and graphing ordered pairs on a coordinate plane
- Place value understanding with multi-digit numbers and decimals
- Powers of 10 and decimal multiplication and division
- Fluent multi-digit multiplication and division with two-digit divisors
- Adding, subtracting, multiplying, and dividing decimals to hundredths
- Fractions with unlike denominators, including mixed numbers
- Multiplying and dividing fractions and mixed numbers
- Measurement conversions within a standard measurement system
- Volume of solid figures using unit cubes and formulas
- Classifying two-dimensional figures by their properties
How StudyPug Covers Colorado Academic Standards Math
Every lesson on StudyPug maps directly to Colorado Academic Standards Math for 5th grade. Students can search by topic, watch a short video lesson, and immediately practice with problems matched to what they just learned. This makes it easy to keep up with class or get ahead before CMAS testing.
Getting Ready for CMAS in 5th Grade
Colorado tests 5th grade math through the Colorado Measures of Academic Success (CMAS). StudyPug covers every standard assessed, so students can review weak areas, practice problems, and walk into test day feeling confident.