3. Student Learning Map

  • Topic:Number Operations
  • Subject(s):Math
  • Days:29
  • Grade(s):4
Key Learning:

Knowing math facts and how to use them will help with problem solving.
Unit Essential Question(s):
 
 

How does addition, subtraction, multiplication, and division impact our everyday lives?
   
Concept:

Addition and Subtraction
Concept:

Multiplication
Concept:

Division
Lesson Essential Question(s):

How do I add or subtract 4-digit whole numbers? (Regrouping)*

 (A)

How do I subtract across zeros? *

 (A)

How do I estimate sums and differences? *

 (A)

How do I find a missing number using variables in an addition/subtraction problem? *

 (A)

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

 (A)

How do I write equations to solve addition and subtraction problems?

 (A)
Lesson Essential Question(s):

How do I use my basic facts to multiply larger numbers? (Through four-digits)

 (A)

What strategies can I use to solve multiplication problems? (Repeated addition, skip counting, etc)

 (A)

How do I multiply money? *

 (A)

How do I use multiples and factors of a given number?

 (A)

How do I estimate products?

 (A)

How can I identify a missing number using a variable?

 (A)
Lesson Essential Question(s):

What are the essential components of divisibility and how can I use the components to help me solve a problem? (Repeated subtraction) *

 (A)

What similarities exist in division and multiplication?

 (A)

What can I learn from using fact families to determine relationships among addition, subtraction, multiplication, and division?

 (ET)
Vocabulary:

addend, subtrahend, sum, difference, decimal, Associative Property of Addition, Commutative Property of Addition, Identity Property of Addition, equation, expression, variable, regrouping, estimate, under estimate, over estimate, inverse operation, minuend

Vocabulary:

factor, product, Commutative Property of Multiplication, Identity Property of Multiplication, Zero Property of Multiplication, Distributive Property of Multiplication, multiple, array

Vocabulary:

divisor, dividend, quotient, remainder, divisibility rules, fact family, inverse operation

Concept:

Algebraic Concepts
Concept:
Concept:
Lesson Essential Question(s):

How do I identify and write a rule to help me solve a problem?

 (A)

How do I create and extend a given pattern?

 (A)

How do I simplify expressions without a variable?

 (A)

How do I identify expressions or equations to describe a problem/mathematical situation?

 (A)

How can using algebraic concepts help me determine mathematical expressions?

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

pattern

Vocabulary:

Vocabulary:

Additional Information:

* Indicates former standard assessed through 2010.

It is essential that multiplication fluency is mastered in fourth grade. SF 3, 5, and 6; Base Ten Pieces; Counters; Kathy Robinson Partner Games; Math Party CD; Number Literacy; What's My Place? What's My Value?; Rhymes 'n' Times; Hands on Equations; FCAT Spiral Review

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Student Learning Map
Vocabulary Report

Acquisition Lesson:

15. How can I identify if the solutions are accurate?

Extending Thinking Lesson:

Vocabulary Report

  • addend -

    Numbers that are added together to find a sum

  • divisor -

    The number by which another number is divided

  • factor -

    Numbers multiplied together to find a product

  • dividend -

    The number to be divided

  • subtrahend -

    The number that is to be subtracted

  • product -

    The answer to a multiplication problem

  • Commutative Property of Multiplication -

    Factors can be multiplied in any order and the product remains the same; (3x2=6; 2x3=6)

  • quotient -

    The answer to a division problem

  • sum -

    The result of adding numbers together

  • remainder -

    The number that remains after the division is complete

  • Identity Property of Multiplication -

    Any number multiplied by one is that number; (12x1=12)

  • difference -

    The result of subtracting two numbers

  • decimal -

    Number that uses a decimal point followed by digits as a way of showing values less than one

  • pattern -

    Things that are arranged following a rule or rules

  • divisibility rules -

    The rules that state when a number is divisible by another number

  • Zero Property of Multiplication -

    Any number multiplied by zero is zero; (12x0=0)

  • Distributive Property of Multiplication -

    Breaking apart problems into simpler problems;

    6x(4+5) = (6x4)+(6+5)

    6x9 = 24+30

    54 = 54

  • fact family -

    A group of related facts using the same set of numbers

  • Associative Property of Addition -

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

  • Commutative Property of Addition -

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

  • multiple -

    The product of any two whole numbers

  • inverse operation -

    Multiplication and division are inverse operations

  • Identity Property of Addition -

    The sum of any number and zero is that same number (12+0=12)

  • array -

    A way of displaying objects or numbers in rows and columns;

    02 04 06 08 10

    12 14 16 18 20

    22 24 26 28 30

  • equation -

    A number sentence that uses the equal sign (=) to show that two expressions have the same value

  • expression -

    Numbers, symbols, and operators (such as + and -) represents a number or quantity (6+6-3)

  • variable -

    A symbol or letter that represents a number

  • regrouping -

    To carry and change from one base ten group to another

  • estimate -
  • under estimate -

    An estimation that is less than the exact answer

  • over estimate -

    An estimation that is more than the exact answer

  • inverse operation -

    Two operations that undo each other; addition and subtraction are inverse operations

  • minuend -

    The number that is to be subtracted from (9-4...9 is the minuend)