Addition and subtraction sequence plan (for ages six - seven)

Concept

Dimensions
Representation, Reasoning & proof, Problem Solving, Communication, & Connections
Outcome and levels Assessment activity or task

Manipulatives can be used to represent number values.

Drawings can be used to represent values and actions in math problems.

Actions with manipulatives can be used to represent operations of addition and subtraction

Representation

Represent number values and actions for operations with objects such as blocks chips, cubes, rods, coins, and with drawings and in writing.

--> Levels <--
Exceptional - Interpretes problems, represents them accurately with manipulativs, in drawings, and can explain their process orally and in writing without assistance.

Unsatisfactory - Represents a problem by sketching when prompted and after being prompted with ideas on how to set up the problem or how to solve it.

Word problems from all categories of addition and subtraction.
Manipulating physical objects can help thinking and reasoning. Reasoning & proof

Interpret story problems by acting them out when reading or retelling them.

Show and explain how information in a problem can be used to solve the problem and answer questions about their reasoning and confidence for their solutions.

 

Manipulating physical objects can help solve problems.

Moving objects from one place to another can help keep track of what objects have and haven't been counted.

Problem Solving

Manipulate ideas menatally, with objects, in drawings, and with text accurately analyzing a problem and matching mathematical operations of addition and subtraction to real life actions.

 

Numerals are used to comunicate how many.

Operations are used to communicate actions on numbers or actions with numbers.

Communication Answer questions of how many and operations of addition and subtraction on two or more values.  

 

Concept Mathematical Content
Number Value and operations, Algebra & patterns, Geometry & spatial sense , Measurement, & Analysis, statistics, probability
Outcome and levels Assessment activity or task

Numbers can be used to tell us how many.

Addition is the joining of sets.

Addition and subtraction can be used to solve joining problems.

Numbers can be added from left to right by adding on.

Adding on is an efficient way to add numbers less than 100. (43+35; start with the big number and add the tens; 43+30=83; then add the rest + 5 and get the answer; 88.)

Number value and operations
  1. Demonstrate the value of basic facts using concrete objects.   
  2. Demonstrate strategies for whole number computation. 
  3. Compute efficiently and accurately basic number facts for addition and subtraction.
  4. Recognize the symbols + and - as representing the operations of addition and subtraction. 
  5. Recognize the symbol = represents equal quantities. 
  6. Solve problems involving step by step solutions related to children’s experiences. 
Word problems from all categories of addition and subtraction.

 

Activities

Exploration (Diagnostic}

Invention (Formative)

Expansion (Generative)

 

Robert Sweetland's Notes ©