The Elementary Mathematics Program: Grades K-5

The Elementary Mathematics Program:  Grades K – 5

 
Grade K Overview 

Counting and Cardinality                         

  • Know number names and the count sequence.
  • Count to tell the number of objects.
  • Compare numbers.

Operations and Algebraic Thinking

  • Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Number and Operations in Base Ten

  • Work with numbers 11 - 19 to gain foundations for place value.

Measurement and Data

  • Describe and compare measurable attributes.
  • Classify objects and count the number of objects in categories.

Geometry

  • Identify and describe shapes.
  • Analyze, compare, create, and compose shapes.

Grade 1 Overview 

Operations and Algebraic Thinking                                      

  • Represent and solve problems involving addition and subtraction.
  • Understand and apply properties of operations and the relationship between addition and subtraction.
  • Add and subtract within 20. 
  • Work with addition and subtraction equations.

Number and Operations in Base Ten

  • Extend the counting sequence.
  • Understand place value.
  • Use place value understanding and properties of operations to add and subtract.

Measurement and Data

  • Measure lengths indirectly and by iterating length units. 
  • Tell and write time.
  • Represent and interpret data.

Geometry

  • Reason with shapes and their attributes.
 
Grade 2 Overview 

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 standards units. 
  • Relate addition and subtraction to length.
  • Work with time and money.
  • Represent and interpret data.

Geometry

  • Reason with shapes and their attributes.
Grade 3 Overview 

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.

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.
   
 Grade 4 Overview 
 
 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 understanding and properties of operations to perform 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 properties of their lines and angles.
     
 Grade 5 Overview 
 
 Operations and Algebraic Thinking                                      
  • Write and interpret numerical expressions. 
  • Analyze patterns and relationships.

Number and Operations in Base Ten

  • Understand the place value system.
  • Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number and Operations - Fractions

  • Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
  • Use equivalent fractions as a strategy to add and subtract fractions.

Measurement and Data

  • 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.

Geometry

  • Graph points on the coordinate plane to solve real-world and mathematical problems.
  • Classify two-dimensional figures into categories based on their properties.
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