Topic Seven: Understand Subtraction

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 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:

  • How can representing taking apart and taking from in different ways help you learn about subtraction?
Students will know...
  • Subtraction can be shown in different ways such as with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.
  • Taking away one or more objects to an existing group is one interpretation of subtraction.
  • Taking part(s) from a whole is one interpretation of subtraction.
  • Taking away can be shown in a subtraction expression that uses the minus sign.
  • Taking part(s) from a whole is one interpretation of subtraction. Equations using - and = can be used to show parts in relation to a whole.
  • Objects, drawings, counting, and equations can be used to help solve subtraction problems involving "taking away" and "taking part from a whole".
  • Patterns can be used to help solve subtraction problems.
  • Information in a problem can often be shown using a picture or diagram and used to understand and solve the problem.

Vocabulary:

left, separate, subtraction sentence, take away, minus sign, subtract, difference


Students will be skilled at...
  • Representing numbers in a variety of ways
  • Representing subtraction as taking from a number and taking apart two or more numbers.
  • Writing an equation to show subtraction that includes a minus sign and equals sign.
  • Solving subtraction problems.
  • Explaining subtraction using equations.
  • Identifying and using patterns to subtract numbers.
  • Modeling subtraction by drawing, counting or writing equations.

Assessment Evidence

Performance Assessment:
Other Evidence:

Formative Assessment:

Learning Plan

Learning Activities:

7-1 Explore Subtraction: Show numbers in many ways.

7-2 Represent Subtraction as Taking Apart: Take apart a number and tell the parts

7-3 Represent Subtraction as Taking From: Represent subtraction as taking away from a whole.

7-4 Use the Minus Sign: Separate numbers

7-5 Represent and Explain Subtraction with Equations: Separate more numbers

7-6 Continue to Represent and Explain Subtraction with Equations: Use the minus sign in an equation

7-7 Solve Subtraction Word Problems: Take From: Find the difference of two numbers

7-8 Use Patterns to Develop Fluency in Subtraction: Find patterns in subtraction equations

7-9 Math Practices and Problem Solving: Use Appropriate Tools: Use tools to subtract numbers
Resources:
===Problem of the Month:===
====Operations & Algebraic Thinking====
* calculating palindromes


KINDERGARTEN ADDITION AND SUBTRACTION Smartboard/Online Activities

Print & Play Games/Centers