Welcome To

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Welcome To
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Order of Operations Expressions
, -, x, / Integers
Coordinate Planes
Patterns
Vocabulary
100
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100
200
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300
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400
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500
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Order of Operations and expressions for 100

• What does PEMDAS stand for?

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Answer

• Parenthesis
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

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Order of Operations and expressions for 200

• Does Multiplication always come before Division?
  How are they solved?

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Answer

• No, they are solved from left to right.

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Order of Operations and expressions for 300

• Write and expression to represent the following
• Joe has 5 less than three times the number of
  pencils that Jean has.

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Answer

• Let x the number of pencils that Jean has, then
  the number that Joe has is
• 3x - 5

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Order of Operations and expressions for 400

• What is the difference between an expression and
  an equation?

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Answer

• An expression does not have an equal sign, an
  equation does.

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Order of Operations and expressions for 500

• Use order of operations to simplify
• 3-4 2 - 5(-3 1) 32

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Answer

• 3-4 2 - 5(-3 1) 32
• 3-2 - 5(-2) 32
• 32 5-2 9
• 6 - -10 9
• 6 10 9
• 25

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, -, x, / Integers for 100

• Simplify
• (-6) (-3)

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Answer

• (-6) (-3) -6 3 -3

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, -, x, / Integers for 200

• Simplify
• (12) / (-3)

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Answer

• (12) / (-3) -4

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, -, x, / Integers for 300

• Simplify
• (-7) (4) / (-2)

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Answer

• (-7) (4) / (-2) -28/-2 14

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, -, x, / Integers for 400

• Simplify
• (-7 - 4) (2 - -6)

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Answer
(-7 - 4) (2 - -6) -11 8 -88
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, -, x, / Integers for 500

• Simplify
• (22)/ (-2) (4) / (-11) -5

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Answer

• (22)/ (-2) (4) / (-11) -5
• -114/-11 -5
• -44/-11 -5
• 4 -5
• -1

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Patterns for 100

• What are the next two numbers in the following
  pattern?
• 2, -6, 18, -54

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Answer

• The pattern is multiply by -3 every time, so the
  next two numbers in the pattern are
• -54-3 162 and
• 162-3 -486

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Patterns for 200

• Are answers found using inductive reasoning
  always correct? Why or why not?

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Answer

• No, answers based on inductive reasoning are
  simply guesses based on perceived patterns. In
  actuality, there could be multiple correct
  patterns, or no pattern at all.

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Patterns for 300

• Write a rule for the following pattern
• 3, 5, 8, 12,

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Answer

• Start with 3, then add 2. Add 3 the second time,
  4 the 3rd time, etc. In other words increase the
  number you are adding by one each time.

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Patterns for 400

• How many black triangles are going to be in the
  fifth (5th) picture?

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Answer

• The pattern is multiply by three
• 1 x 3 3
• 3 x 3 9
• 9 x 3 27
• 27 x 3 81

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Patterns for 500

• The Fibonacci sequence was first published in
  1202 by a man named Leonardo of Pisa. The first
  terms of the sequence are given below. Find the
  next three terms.
• 1, 1, 2, 3, 5, 8, 13, 21.

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Answer

• The pattern is that the next number equals the
  sum of the two numbers that come directly before
  it.
• 11 2, 12 3, 33 5, etc.
• So, 1321 34, 2134 55, and 34 55 89

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Vocabulary for 100

• Define the following word
• Constant

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Answer

• Constant- Any quantity or value that does NOT
  change

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Vocabulary for 200

• Define the following word
• Expression

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Answer

• Expression A mathematical phrase that
  represents a quantity that may contain variables,
  numbers, and/or operators, but NO statement of
  equality.

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Vocabulary for 300

• Define the following word
• Variable

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Answer

• Variable A quantity that can change or take on
  different values

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Vocabulary for 400

• Define the following word
• Quadrants

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Answer

• Quadrants The four sections into which the x-y
  plane is divided by the x and y axes.

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Vocabulary for 500

• Define the following word
• Origin

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Answer

• Origin The intersection of the x and y axis in
  a coordinate plane. Labeled as the point (0, 0)

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Coordinate Planes for 100

• Write the ordered pair for point B

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Answer

• (-2, -4)

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Coordinate Planes for 200

• Draw and label the quadrants on a coordinate
  plane.

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Answer
Quadrant I
Quadrant II
Quadrant IV
Quadrant III
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Coordinate Planes for 300

• Graph the points (-2, 4) and (3, -2) on a
  coordinate plane.

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Answer
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Coordinate Planes for 400

• What information must be on every coordinate
  plane?

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Answer

1. x and y axis (labeled)
2. Arrows on the ends of the axes
3. Evenly spaced tick marks (correctly numbered)

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Coordinate Planes for 500

• Graph the following points and connect them to
  form a shape. Label each point correctly.
• A(-1, -2) B(-1, 4) C(4, 4)
• D(4, -2)

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Answer
C
B
A
D
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