3. Student Learning Map

  • Topic:Whole Numbers and Decimals
  • Subject(s):Math
  • Days:20
  • Grade(s):5
Key Learning:

Rules apply when solving a mathematical problem.
Unit Essential Question(s):
 
 

How do I use addition, subtraction, multiplication, and/or division to solve problems using whole numbers and decimals?

   
Concept:

Addition and Subtraction
Concept:

Multiplication
Concept:

Division
Lesson Essential Question(s):

How would I recognize the properties of addition?

(A)

How do I add and subtract whole numbers to the billions place?

(A)

How do I add and subtract decimals to the thousandths place?

(A)

How do I estimate (round) sums and differences of whole numbers and decimals?

(A)
Lesson Essential Question(s):

How can I multiply whole numbers?*

(A)

How can I multiply decimals?*

(A)

How are the properties of multiplication useful in solving problems?*

(A)

What are some ways to estimate (round) products?*

(ET)
Lesson Essential Question(s):

What are the essential steps in a division problem?

(A)

How can I show all the factors of a number?

(A)

Which strategies help me determine if a number is prime or composite?

(A)

What are the most effective ways to estimate quotients?

(A)

How do I solve long division problems?

(A)

How do I divide decimals by whole numbers?

(A)
Vocabulary:

Commutative Property of Addition, Associative Property of Addtion, rounding, front-end estimation, sum, difference

Vocabulary:

Commutiative Property of Multiplication, Associative Property of Multiplication, Identity Property of Multiplication

Vocabulary:

prime number, composite number, prime factors, divisor, dividend, decimal, factorization, multiple, Divisibility Rule

Concept:

Problem Solving
Concept:
Concept:
Lesson Essential Question(s):

How do I use smaller numbers with larger numbers to help me solve a problem?

(A)

How do I decide which operation(s) to use to solve a problem?

(A)

Why do we study multiplication to solve problems?

(ET)

Where would I use division in the world?

(ET)
Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:

guess and check, logical reasoning

Vocabulary:

Vocabulary:

Additional Information:

*Indicates former standard assessed through 2010.

S.F. 1:7, 9-13; SF 2: 1-11; SF 3: 1-11; Base-10 models; Kathy Robinson Money Center; Opening Eyes to Math; Calendar Math; What's My Place? What's My Value?; Math Melodies CD; Math Party CD; Lyrical Lessons; Number Literacy

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • Commutative Property of Addition -

    Numbers can be added in any order and the sum remains the same (4+5=9 & 5+4=9).

  • prime number -

    A number that has exactly two factors; can only be divided evenly by itself and one.

  • composite number -

    A number with more than two factors.

  • Associative Property of Addtion -

    Addends can be regrouped and the sum remains the same (4+2)+6=12 & 4+(2+6)=12.

  • prime factors -

    A factor that is also a prime number; writing a number as a product of all of its prime factors.

  • Commutiative Property of Multiplication -

    Factors can be multiplied in any order and the product remains the same (4x3=12 & 3x4=12).

  • rounding -

    Replacing a number with a number that tells about how many or how much to the nearest ten, thousand, and so on...; may estimate up or estimate down.

  • front-end estimation -

    A method of estimating by changing numbers to the place-value of their front digit and then finding the sum or difference (389+257+285+318 estimated to 400+300+300=1,300 estimated answer).

  • Associative Property of Multiplication -

    Factors can be regrouped and the product remains the same 2x(4x10)= (2x4)x10.

  • Identity Property of Multiplication -

    Any number and one is that number (12x1=12).

  • sum -

    The result of adding numbers together.

  • divisor -

    The number by which another number is divided.

  • guess and check -

    This is a strategy...Guess the answer and check to see if it correct (substitute in an equation to see if it is true); characteristics: guess, estimate, using logic, sort, <,=,>, compare and contrast relationships.

  • difference -

    The result of subtracting two numbers.

  • dividend -

    The number to be divided.

  • decimal -

    A point between a whole number and a decimal fraction.

  • logical reasoning -

    This is a strategy...Draw accurate conclusions by using clues or if...then thinking; characteristics-if...then; clues; puzzles; mystery; makes sense; logical.

  • factorization -

    All the numbers that can be multiplied by others to get the number you are factorizing.

  • multiple -

    The product of a given whole number and any other whole number.

  • Divisibility Rule -

    The rule that states when a number is divisible by another number.