Standard 2 : Understand and apply properties of operations and the relationship between addition and subtraction. (Major Cluster) (Archived)



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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

General Information

Number: MAFS.1.OA.2
Title: Understand and apply properties of operations and the relationship between addition and subtraction. (Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 1
Domain-Subdomain: Operations and Algebraic Thinking

Related Standards

This cluster includes the following benchmarks
Code Description
MAFS.1.OA.2.3: Apply properties of operations as strategies to add and subtract. 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.)
MAFS.1.OA.2.4: Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MAFS.1.OA.2.AP.4a: Recognize subtraction as the inverse of addition.
MAFS.1.OA.2.AP.3a: Recognize addition as commutative.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorial

Name Description
Addition Switcheroo :

Change the order of the numbers in an addition sentence and use the counting on strategy to become quicker at your math facts in this interactive tutorial.

Formative Assessments

Name Description
Turtles in a Pond:

Students are given pairs of word problems that can be solved using the Commutative Property of addition.

Using Inverse Operations:

Students identify an addition equation that can be used to solve a subtraction problem.

Two Students' Strategies:

Students examine two related strategies to solve a subtraction problem.

Does It Work For Subtraction?:

Students discuss if the Commutative Property holds for subtraction.

Using Addition to Solve Subtraction Problems:

Students use the relationship between addition and one subtraction to solve a subtraction equation.

Use Addition to Solve Subtraction:

Students are given a subtraction problem and asked to solve the problem using a related addition fact.

Lemons and Oranges:

Students are given pairs of word problems that can be solved using the Commutative (and/or Associative) Property of addition.

Justifying the Commutative Property of Addition:

Students work with cubes or color tiles to understand and justify the Commutative Property of addition.

Lesson Plans

Name Description
Let’s Find the Missing Addend:

This lesson will strengthen student understanding of the relationship between addition and subtraction equations. Students will use counters and part-part whole boards to model restating subtraction equations as addition equations with a missing addend.

Help Amelia Bedelia Look for the Missing Addend:

This lesson introduces the relationship between the related subtraction and addition in fact families and helps students understand that they can use the missing addend to help find the difference in related subtraction problems.

Mystery Bag to 12:

This lesson deals with finding an unknown number in a subtraction equation by thinking addition and counting on. It utilizes the part-part-whole organizer and manipulatives to support the learning of students.

Thinking Addition to Solve Subtraction Problems:

Students will use the knowledge of Sums of Ten and apply that skill to solve related subtraction problems. Students will learn the strategy Thinking Addition to solve subtraction problems.

Related Equations:

Students will understand how addition and subtraction are related using math manipulatives.

My Fact Family:

Students will use cut out people shapes and number cards to create two addition problems and two subtraction problems using the same three numbers of a fact family to explore the commutative property.

Tutorial

Name Description
Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorial

Title Description
Addition Switcheroo :

Change the order of the numbers in an addition sentence and use the counting on strategy to become quicker at your math facts in this interactive tutorial.

Tutorial

Title Description
Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.