3. Student Learning Map

  • Topic:Algebraic Concepts
  • Subject(s):Math
  • Days:10
  • Grade(s):5
Key Learning:

Patterns and variables can be used to solve problems.
Unit Essential Question(s):
 
 

How would I use patterns and variables to solve problems? When would I use algebraic thinking?
   
Concept:

Variables and Equations
Concept:

Writing and Solving Equations
Concept:

Patterns and Rules
Lesson Essential Question(s):

What are representations of variables?*

 (A)

How do I recognize an algebraic expression?*

 (A)
Lesson Essential Question(s):

How do I write an equation to solve a problem?*

 (A)

How will inverse operations help me solve equations using variables?

 (A)

What influence might variables have on solving equations?

 (ET)
Lesson Essential Question(s):

How can I find a rule for a table?*

 (A)

How would I extend a pattern?*

 (A)

How would I express a pattern using algebraic symbols?*

 (A)

How would using patterns help me solve problems?

 (ET)
Vocabulary:

variable, algebraic expression, algebraic equation

Vocabulary:

inequality, inverse operations, equality

Vocabulary:

chart, table, pattern

Concept:

Order of Operations
Concept:
Concept:
Lesson Essential Question(s):

How does the order of operations help me solve equations including those with parenthesis an exponents?

 (A)

How can I evaluate expressions with more than one operation?

 (ET)
Lesson Essential Question(s):

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

order of operations, exponents

Vocabulary:

Vocabulary:

Additional Information:

*Indicates former standard assessed through 2010.

SF 2: 12-15/SF 3: 13, 15/SF 12: 1-3; Hands on Equations; Kathy Robinson Algebra Center; Calendar Math; Shape Bait; Number Literacy; Cooperative Learning & Mathematics

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • variable -

    A symbol used to represent an unknown value

  • order of operations -

    The order in which operations should be done

  • chart -

    A tool used to display information

  • inequality -

    Two values are not equal

  • inverse operations -

    The operation that reverses the effect of another operation (addition and subtraction are inverse operations; multiplication and division are inverse operations)

  • table -

    Numbers or quantities arranged in rows and columns

  • algebraic expression -

    A number sentence that does not contain an equal sign; contains a variable that represents an unknown value

  • exponents -

    Shows the number of times the base number is multiplied by itself

  • equality -

    The state of being equal; having the same amount or value

  • pattern -

    Numbers or objects that are arranged to follow a rule

  • algebraic equation -

    A number sentence that contains a variable and an equal sign