Learning Goals for 5th Grade Math - Common Core State Standards
Operations and Algebraic Thinking
Write and interpret numerical expressions.
5.OA.A.1 I can evaluate numerical expressions with parentheses.
5.OA.A.2 I can write and interpret numerical expressions.
Analyze patterns and relationships.
5.OA.B.3 I can write and compare two patterns given two rules. I can identify features of related patterns in tables or graphs.
Number and Operations in Base Ten
Understand the place value system.
5.NBT.A.1 I can relate place value to multiplying by 10 or 1/10.
5.NBT.A.2 I can multiply and divide whole numbers by powers of 10. I can multiply and divide decimals by powers of 10. I can write powers of 10 using exponents.
5.NBT.A.3 I can read and write decimals to thousandths. I can convert between standard and expanded forms of decimals. I can compare decimals to thousandths.
5.NBT.A.4 I can round decimals to any place.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
5.NBT.B.5 I can multiply whole numbers up to 4-digit by 1-digit using the standard algorithm. I can multiply whole numbers up to 2-digit by 2-digit using the standard algorithm.
5.NBT.B.6 I can relate division to multiplication by multiples of 10. I can divide 3-digit dividends by multiples of 10 using place value and/or models. I can relate division to multiplication by 2-digit factors. I can divide 3- and 4-digit dividends by 2-digit divisors using place value and/or models.
5.NBT.B.7 I can relate addition and subtraction of decimals. I can add and subtract decimals to hundredths using place value and/or models. I can relate multiplication and division of decimals. I can multiply and divide decimals to hundredths using place value and/or models.
Number and Operations-Fractions
Use equivalent fractions as a strategy to add and subtract fractions.
5.NF.A.1 I can write equivalent fractions. I can add and subtract fractions with unlike denominators. I can add and subtract mixed numbers with unlike denominators.
5.NF.A.2 I can add and subtract fractions to solve word problems. I can add and subtract mixed numbers to solve word problems. I can assess reasonableness of answers by using benchmarks and number sense.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
5.NF.B.3 I can interpret fractions as division to solve word problems.
5.NF.B.4 I can multiply whole numbers by fractions. I can represent multiplication of fractions using area models.. I can multiply fractions by fractions.
5.NF.B.5 I can interpret multiplication as scaling (resizing)
5.NF.B.6 I can multiply whole numbers by fractions. I can represent multiplication of fractions using area models. I can multiply fractions by fractions. I can multiply fractions and mixed numbers to solve word problems.
5.NF.B.7 I can divide unit fractions by whole numbers using models. I can divide whole numbers by unit fractions using models. I can relate division to multiplication of fractions. I can divide with unit fractions and whole numbers to solve problems.
Convert like measurement units within a given measurement system.
5.MD.A.1 I can convert metric measurements. I can convert conventional measurements.
Represent and interpret data.
5.MD.B.2 I can make line plots using data including fractions. I can solve problems about line plots.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
5.MD.C.3 I can identify a cube as a unit of volume.
5.MD.C.4 I can measure volume by counting unit cubes.
5.MD.C.5 I can add and/or multiply to find volumes of rectangular prisms. I can solve problems involving volume of rectangular prisms (with whole numbers as lengths.) I can solve problems involving volumes of connected prisms.
Graph points on the coordinate plane to solve real-world and mathematical problems.
5.G.A.1 I can graph and identify points with positive coordinates on a coordinate system.
5.G.A.2 I can use coordinates (positive only) to represent and solve problems. I can use coordinates to analyze geometric shapes.
Classify two-dimensional figures into categories based on their properties.
5.G.B.3 I can reclassify and identify quadrilaterals.
5.G.B.4 I can recognize categories and create hierarchies of shapes.