Topic Six: Understand Addition

Desired Results

Transfer:
1. Makes 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.
Established Goals:

  • K.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
  • K.OA.2 Solve addition and subtraction word problems and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
  • K.OA.5 Fluently add and subtract within 5.

Student "I Can" Statements:

  • I can use objects, fingers, and pictures to help me show addition.
  • I can use objects, fingers, and pictures to help me show subtraction.
  • I can solve addition and subtraction word problems within 10.
  • I can add and subtract within 5.

Prerequisite Standards:

N/A
Big Ideas:

Operation Meanings and Relationships
There are multiple interpretations of additions, subtractions, multiplication, and division of rational numbers and each operation is related to other operations.

Variables, Expressions, and Equations
Letters and symbols called variables can be used to stand for a number of any number from a particular set of numbers. Some mathematical and real-world situations can be represented using variables, operations, and numbers in expressions and equations.

Patterns, Relations, and Functions
Relationships can be described and generalization made for mathematical situations that have numbers or objects that repeat in predictable ways. For some relationships, mathematical expressions and equations can be used to describe how members of one set are related to members of a second set.

Practices, Processes, and Proficiencies
Mathematics content and practices can be applied to solve problems.
Essential Questions:

  • What types of situations require addition?
Students will know...
  • Addition can be shown in different ways such as with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.
  • Adding one or more objects to an existing group is one interpretation of addition.
  • Putting together parts to make a whole is one interpretation of addition.
  • Adding groups can be shown in an addition expression that uses the plus sign.
  • Adding parts together to make a whole is one interpretation of addition. Equations using + and = can be used to show parts of a whole.
  • Objects, drawings, counting, and equations can be used to help solve addition problems involving "adding to" and "putting together".
  • Patterns can be used to help solve addition problems.
  • Information in a problem can often be shown using a picture or diagram and used to understand and solve the problem.

Vocabulary:

in all, join, addition sentence, add, plus sign, equal sign, equation, sum


Students will be skilled at...
  • Representing numbers in a variety of ways
  • Representing addition as adding to a number and putting two or more numbers together.
  • Writing an equation to show addition that includes a plus sign and equals sign.
  • Solving addition problems.
  • Explaining addition using equations.
  • Identifying and using patterns to add numbers together.
  • Modeling addition by drawing, counting or writing equations.

Assessment Evidence

Performance Assessment:
Other Evidence:

Formative Assessment:

Learning Plan

Learning Activities:

6-1 Explore Addition: Show numbers in many ways

6-2 Represent Addition as Adding To: Represent addition as adding to a number

6-3 Represent Addition as Putting Together: Represent addition as putting two or more numbers together

6-4 Use the Plus Sign: Add numbers together

6-5 & 6-6 Represent and Explain Addition with Equations: Use the plus sign and equal sign in an equation

6-7 Solve Addition Word Problems Add To: Solve addition problems

6-8 Solve Addition Word Problems Put Together: Use equations to represent and explain addition

6-9 Use Patterns to Develop Fluency in Addition: Use patterns to add numbers together

6-10 Math Practices and Problem Solving: Model with Math: Model adding different numbers together by drawing, counting, or writing equations.
Resources:

Problem of the Month:

Operations & Algebraic Thinking



KINDERGARTEN ADDITION AND SUBTRACTION Smartboard/Online Activities

Print & Play Games/Centers