**Grade 3** |

| Represent and solve problems involving multiplication and division. |

| Understand properties of multiplication and the relationship
between multiplication and division. |

| Multiply and divide within 100. |

| Solve problems involving the four operations, and identify and
explain patterns in arithmetic. |

| Use place value understanding and properties of operations to
perform multi-digit arithmetic.[A range of algorithms may be used] |

| Develop understanding of fractions as numbers. |

| Solve problems involving measurement and estimation of intervals
of time, liquid volumes, and masses of objects. |

| Represent and interpret data. |

| Geometric measurement: understand concepts of area and relate
area to multiplication and to addition. |

| Geometric measurement: recognize perimeter as an attribute of
plane figures and distinguish between linear and area measures. |

| Reason with shapes and their attributes. |

**Grade 4** |

| Use the four operations with whole numbers to solve problems. |

| Gain familiarity with factors and multiples. |

| Generate and analyze patterns. |

| Generalize place value understanding for multi-digit whole numbers. |

| Use place value understanding and properties of operations to
perform multi-digit arithmetic. |

| Extend understanding of fraction equivalence and ordering. |

| Build fractions from unit fractions by applying and extending
previous understandings of operations on whole numbers. |

| Understand decimal notation for fractions, and compare decimal
fractions. |

| Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit. |

| Represent and interpret data. |

| Geometric measurement: understand concepts of angle and measure
angles. |

| Draw and identify lines and angles, and classify shapes by properties
of their lines and angles. |

**Grade 5** |

| Write and interpret numerical expressions. |

| Analyze patterns and relationships. |

| Understand the place value system. |

| Perform operations with multi-digit whole numbers and with
decimals to hundredths. |

| Use equivalent fractions as a strategy to add and subtract fractions. |

| Apply and extend previous understandings of multiplication and
division to multiply and divide fractions. |

| Convert like measurement units within a given measurement system. |

| Represent and interpret data. |

| Geometric measurement: understand concepts of volume and relate
volume to multiplication and to addition. |

| Graph points on the coordinate plane to solve real-world and
mathematical problems. |

| Classify two-dimensional figures into categories based on their
properties. |