3. Student Learning Map

  • Topic:Operations
  • Subject(s):Math
  • Days:25
  • Grade(s):3
Key Learning:

Mathematical operations have inverse relationships reflected within fact families.
Unit Essential Question(s):
 
 

Where would I use multiplication and division in our everyday lives?
   
Concept:

Multiplication
Concept:

Division
Concept:

Problem Solving
Lesson Essential Question(s):

What is the relationship between addition and multiplication?

(A)

How are arrays useful in understanding multiplication?

(A)

How can patterns help me remember multiplication facts?

(A)

What strategies can I use to solve basic multiplication problems?

(A)

How are number properties useful in solving multiplication problems? *

(A)
Lesson Essential Question(s):

What is the relationship between repeated subtraction and division?

(A)

What is the relationship between division and multiplication?

(A)
Lesson Essential Question(s):

How can I represent patterns using words, variables, and tables in multiplication and division problems? *

(A)

What strategy is most effective in determining the accuracy of a multiplication or division problem?

(ET)
Vocabulary:

arrays, factor, multiplication, product, zero property of multiplication, identitive property of multiplication, commutative property of multiplication, associative property of multiplication, repeated addition

Vocabulary:

division, divisor, dividend, quotient, inverse operation, divisible, repeated subtraction

Vocabulary:

numerical expressions

Additional Information:

* Indicates former standard

  • Scott Foresman: Concept 1- 5-1 thru 5-7, 5-9 thru 5-11, 6-1 thru 6-5; Concept 2- 7-1 thru 7-10; Concept 3- 5-4, 6-6, 6-8, 7-12, 7-13

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    Acquisition Lesson:

    Extending Thinking Lesson:

    Vocabulary Report

    • arrays -

      A way of displaying objects or numbers in rows and columns

    • numerical expressions -

      An expression that contains numbers and at least one operation (4÷2x5)

    • division -

      An operation that tells how many equal groups there are or how many are in each group (to divide)

    • factor -

      Numbers that are multiplied together to give a product

    • divisor -

      The number by which another number is divided

    • dividend -

      The number to be divided

    • quotient -

      The answer to a division problem

    • multiplication -

      An operation that gives the total number when you put together equal groups; to multiply (repeated addition)

    • inverse operation -

      Opposite; reverse operations (multiplication and division are inverse operations)

    • product -

      The answer to a multiplication problem

    • divisible -

      Can be divided by another number equally

    • zero property of multiplication -

      The product of any number and zero is zero

    • identitive property of multiplication -

      The product of any number and 1 is that number

    • repeated subtraction -

      A strategy that can be used to solve a division problem (15÷3= 15-3-3-3-3-3)

    • commutative property of multiplication -

      Factors can be multiplied in any order and the product will be the same

    • associative property of multiplication -

      The grouping of factors can be changed and the product will be the same

    • repeated addition -

      A strategy that can be used to solve a multiplication problem