$100 $200 $300 $400 $500 $200 $300 $400 $500 order of operations & expressions +, -, x, /...
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$100 $100 $100 $100 $100
$200
$300
$400
$500
$200 $200 $200 $200
$300 $300 $300 $300
$400 $400 $400 $400
$500 $500$500 $500
Order of Operations & Expressions
+, -, x, / Integers
Coordinate Planes
Patterns Vocabulary
Order of Operations and expressions for $100
What does PEMDAS stand for?
Answer
ParenthesisExponentsMultiplicationDivisionAdditionSubtraction
Back
Order of Operations and expressions for $200
Does Multiplication always come before Division? How are they solved?
Answer
No, they are solved from left to right.
Back
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.
Answer
Let x = the number of pencils that Jean has, then the number that Joe has is:
3x - 5Back
Order of Operations and expressions for $400
What is the difference between an expression and an equation?
Answer
An expression does not have an equal sign, an equation does.
Back
Order of Operations and expressions for $500
Use order of operations to simplify:
3*|-4 +2| - 5*(-3 + 1) + 32
Answer
3*|-4 +2| - 5*(-3 + 1) + 32
= 3*|-2| - 5*(-2) + 32
= 3*2 – 5*-2 + 9
= 6 - -10 + 9
= 6 + 10 + 9
= 25
Back
+, -, x, / Integers for $100
Simplify:
(-6) – (-3)
Answer
(-6) – (-3) = -6 + 3 = -3
Back
+, -, x, / Integers for $200
Simplify:
(12) / (-3)
Answer
(12) / (-3) = -4
Back
+, -, x, / Integers for $300
Simplify:
(-7) * (4) / (-2)
Answer
(-7) * (4) / (-2) = -28/-2 = 14
Back
+, -, x, / Integers for $400
Simplify:
(-7 - 4) * (2 - -6)
Answer
Back
(-7 - 4) * (2 - -6) = -11 * 8 = -88
+, -, x, / Integers for $500
Simplify:
(22)/ (-2) * (4) / (-11) + -5
Answer
(22)/ (-2) * (4) / (-11) + -5
= -11*4/-11 + -5
= -44/-11 + -5
= 4 + -5
= -1
Back
Patterns for $100
What are the next two numbers in the following pattern?
2, -6, 18, -54…
Answer
The pattern is multiply by -3 every time, so the next two numbers in the pattern are:
-54*-3 = 162 and162*-3 = -486
Back
Patterns for $200
Are answers found using inductive reasoning always correct? Why or why not?
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.
Back
Patterns for $300
Write a rule for the following pattern:
3, 5, 8, 12, …
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.
Back
Patterns for $400
How many black triangles are going to be in the fifth (5th) picture?
Answer
The pattern is multiply by three:
1 x 3 = 3
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81Back
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….
Answer
The pattern is that the next number equals the sum of the two numbers that come directly before it.
1+1 = 2, 1+2 = 3, 3+3 = 5, etc.So, 13+21 = 34, 21+34 = 55, and
34 + 55 = 89
Back
Vocabulary for $100
Define the following word:
Constant
Answer
Constant- Any quantity or value that does NOT change
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Vocabulary for $200
Define the following word:
Expression
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
Answer
Variable – A quantity that can change or take on different values
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Vocabulary for $400
Define the following word:
Quadrants
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
Answer
Origin – The intersection of the x and y axis in a coordinate plane. Labeled as the point (0, 0)
Back
Coordinate Planes for $100
Write the ordered pair for point B:
Answer
(-2, -4)
Back
Coordinate Planes for $200
Draw and label the quadrants on a coordinate plane.
Answer
Back
Coordinate Planes for $300
Graph the points (-2, 4) and (3, -2) on a coordinate plane.
Answer
Back
Coordinate Planes for $400
What information must be on every coordinate plane?
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)
Answer
Back
B C
A D