• First Grade Contact Standards

  • Formatted by Educational Resource Services, Tulare County Office of Education, Visalia, California (559) 651-3031 www.tcoe.org/ers

    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.

     

    Mathematical Practices

    1. Make sense of problems and persevere

    in solving them.

    2. Reason abstractly and quantitatively.

    3. Construct viable arguments and critique

    the reasoning of others.

    4. Model with mathematics.

    5. Use appropriate tools strategically.

    6. Attend to precision.

    7. Look for and make use of structure.

    8. Look for and express regularity in

    repeated reasoning.

     

    Grade 1

    Operations and Algebraic Thinking 1.OA

    Represent and solve problems involving addition and subtraction.

    1. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking

    from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using

    objects, drawings, and equations with a symbol for the unknown number to represent the problem.2

    2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to

    20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent

    the problem.

     

    Understand and apply properties of operations and the relationship between addition and subtraction.

    3. Apply properties of operations as strategies to add and subtract.3

    Examples: If 8 + 3 = 11 is known,

    then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two

    numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

    4. Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the

    number that makes 10 when added to 8.

     

    Add and subtract within 20.

    5. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

    6. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use

    strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a

    number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition

    and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but

    easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

     

    Work with addition and subtraction equations.

    7. Understand the meaning of the equal sign, and determine if equations involving addition and

    subtraction are true or false. For example, which of the following equations are true and which are

    false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

     

    7.1 Write and solve number sentences from problem situations that express relationships involving

    addition and subtraction within 20.

    8. Determine the unknown whole number in an addition or subtraction equation relating three whole

    numbers. For example, determine the unknown number that makes the equation true in each of the

    equations 8 + ? = 11, 5 =