SECOND GRADE
Operations and Algebraic Thinking
- Represent and solve problems involving addition and subtraction
- Add and subtract within 20
- Work with equal groups of objects to gain foundations for multiplication
Number and Operations in Base Ten
- Understand place value
- Use place value understanding and properties of operations to add and subtract
Measurement and Data
- Measure and estimate lengths in standard units
- Relate addition and subtraction to length
- Work with time and money
- Represent and interpret data
Geometry
- Reason with shapes and their attributes
Basic Fact Fluency
THIRD GRADE Operations and Algebraic Thinking - 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
Number and Operations in Base Ten - Use place value understanding and properties of operations to perform multi-digit arithmetic
Number and Operations—Fractions - Develop understanding of fractions as numbers
Measurement and Data - 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
Geometry - Reason with shapes and their attributes
Basic Fact Fluency - Addition
- Subtraction
- Multiplication
FOURTH GRADE
Operations and Algebraic Thinking
- Use the four operations with whole numbers to solve problems.
- Gain familiarity with factors and multiples.
- Generate and analyze patterns.
Number and Operations in Base Ten
- Generalize place value understanding for multi-digit whole numbers.
- Use place value and properties of operations to do multi-digit arithmetic.
Number and Operations—Fractions
- 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.
Measurement and Data
- 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.
Geometry
- Draw and identify lines and angles, and classify shapes by their properties.
Basic Fact Fluency
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