Math Essentials K-5: Focus on Algebra Readiness The math topics listed below are the major strands of the Common Core Standards in relation to preparing students for future math success in Algebra. Research has shown that conceptual understanding in algebra is the key to success in future mathematics. When planning for instruction, focus on the following essential number sense and place value concepts first and foremost. This does not discount the other topics you will teach, but rather puts a focus on the most essential math components. Kindergarten 1st Grade 2nd Grade 3rd Grade Know number names and the Counting count sequence. and Count to tell the number of Cardinality objects. Compare numbers. Understand addition as Represent and solve problems Represent and solve problems Represent and solve problems putting together and adding involving addition and involving addition and involving multiplication and to, and understand subtraction. subtraction. division. subtraction as taking apart and Understand and apply Add and subtract within 20. Understand properties of Operations taking from. properties of operations and multiplication and the and the relationship between relationship between Algebraic addition and subtraction. multiplication and division. Thinking Add and subtract within 20. Multiply and divide within 100. Work with addition and Solve problems involving the subtraction equations. four operations, and identify and explain patterns in arithmetic. Work with numbers 11–19 to Extend the counting Understand place value. gain foundations for place sequence. Use place value understanding Number value. Understand place value. and properties of operations and to add and subtract. Use place value Operations understanding and properties in Base Ten of operations to add and subtract. Number Develop understanding of and fractions as numbers. Operations -- Fractions
Math Essentials K-5: Focus on Algebra Readiness The math topics listed below are the major strands of the Common Core Standards in relation to preparing students for future math success in Algebra. Research has shown that conceptual understanding in algebra is the key to success in future mathematics. When planning for instruction, focus on the following essential number sense and place value concepts first and foremost. This does not discount the other topics you will teach, but rather puts a focus on the most essential math components. Kindergarten 1st Grade 2nd Grade 3rd Grade 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. 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. Represent and solve problems involving addition and subtraction. Add and subtract within 20. 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 Work with numbers 11–19 to gain foundations for place value. Extend the counting sequence. Understand place value. Use place value understanding and properties of operations to add and subtract. Understand place value. Use place value understanding and properties of operations to add and subtract. Number and Operations -- Fractions Develop understanding of fractions as numbers.