CRCT Review JEOPARDY

1
CRCT ReviewJEOPARDY

• Algebraic Thinking
• Geometry Applications
• Numbers Sense
• Algebraic Relations
• Data Analysis/Probability
• Problem Solving

2
Number Sense/Numeration

• Find square roots of perfect squares
• Understand that the square root of 0 is 0 and
  that every positive number has 2 square roots
  that are opposite in sign.
• Recognize positive square root of a number as a
  length of a side of a square with given area
• Recognize square roots as points and lengths on a
  number line
• Estimate square roots of positive numbers
• Simplify, add, subtract, multiply and divide
  expressions containing square roots
• Distinguish between rational and irrational
  numbers
• Simplify expressions containing integer exponents
• Express and use numbers in scientific notation
• Use appropriate technologies to solve problems
  involving square roots, exponents, and scientific
  notation.

3
Geometry

• Investigate characteristics of parallel and
  perpendicular lines both algebraically and
  geometrically
• Apply properties of angle pairs formed by
  parallel lines cut by a transversal
• Understand properties of the ratio of segments of
  parallel lines cut by one or more transversals.
• Understand the meaning of congruence that all
  corresponding angles are congruent and all
  corresponding sides are congruent
• Apply properties of right triangles, including
  Pythagorean Theorem
• Recognize and interpret the Pythagorean theorem
  as a statement about areas of squares on the side
  of a right triangle

4
Algebra

• Represent a given situation using algebraic
  expressions or equations in one variable
• Simplify and evaluate algebraic expressions
• Solve algebraic equations in one variable
  including equations involving absolute value
• Solve equations involving several variables for
  one variable in terms of the others
• Interpret solutions in problem context
• Represent a given situation using an inequality
  in one variable
• Use the properties of inequality to solve
  inequalities
• Graph the solution of an inequality on a number
  line
• Interpret solutions in problem contexts.
• Recognize a relation as a correspondence between
  varying quantities
• Recognize a function as a correspondence between
  inputs and outputs for each input must be unique

5
Algebra, cont.

• Distinguish between relations that are functions
  and those that are not functions
• Recognize functions in a variety of
  representations and a variety of contexts
• Uses tables to describe sequences recursively and
  with a formula in closed form
• Understand and recognize arithmetic sequences as
  linear functions with whole number input values
• Interpret the constant difference in an
  arithmetic sequence as the slope of the
  associated linear function
• Identify relations and functions as linear or
  nonlinear
• Translate among verbal, tabular, graphic, and
  algebraic representations of functions
• Interpret slope as a rate of change
• Determine the meaning of slope and the
  y-intercept in a given situation

6
Algebraic, cont.

• Graph equations of the form y mx b
• Graph equations of the form ax by c
• Graph the solution set of a linear inequality,
  identifying whether the solution set in an open
  or a closed half plane
• Determine the equation of a line given a graph,
  numerical information that defines the line or a
  context involving a linear relationships
• Solve problems involving linear relationships
• Given a problem context, write an appropriate
  system of linear equations or inequalities
• Solve systems of equations graphically and
  algebraically
• Graph the solution set of a system of linear
  inequalities in two variables
• Interpret solutions in problem contexts.

7
Data Analysis Probability

• Demonstrate relationships among sets through the
  use of Venn diagrams
• Determine subsets, complements, intersection and
  union of sets.
• Use set notation to denote elements of a set
• Use tree diagrams to find number of outcomes
• Apply addition and multiplication principles of
  counting
• Find the probability of simple independent events
• Find the probability of compound independent
  events
• Gather data that can be modeled with a linear
  function
• Estimate and determine a line of best fit from a
  scatter plot.

8
Problem Solving

• Build new mathematical knowledge through problem
  solving
• Solve problems that arise in mathematics and in
  other contexts
• Apply and adapt a variety of appropriate
  strategies to solve problems
• Monitor and reflect on the process of
  mathematical problem solving
• Recognize reasoning and proof as fundamental
  aspects of mathematics
• Make and investigate mathematical conjectures
• Develop and evaluate mathematical arguments and
  proofs
• Select and use various types of reasoning and
  methods of proof
• Organize and consolidate mathematical thinking
  through communication
• Communicate mathematical thinking coherently and
  clearly

9
Problem solving cont.

• Analyze and evaluate mathematical thinking and
  strategies
• Use language of mathematics to express
  mathematical ideas precisely
• Recognize and use connections among mathematical
  ideas
• Understand how mathematical ideas interconnect
• Recognize and apply mathematics in context
• Create and use representations to organize,
  record and communicate mathematical ideas
• Select, apply and translate among mathematical
  representations to solve problems
• Use representations to model and interpret
  physical, social and mathematical phenomena

10
Mathematics Categories
Geometry CRCT2
Algebra CRCT1
Numbers CRCT3
Relations CRCT4
Probab CRCT5
Prob Solv CRCT6
100
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400
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500
500
11
CRCT1

• What is the value of
• A. 36
• B. 1,728
• C. 2, 187
• D. 531,441

12
Answer

• D. 531,441

13
CRCT1

• What is/are the square root(s) of 36?
• 6 only
• -6 and 6
• -18 and 18
• -1,296 and 1,296

14
Answer

• B.-6 and 6

15
CRCT1

• How is 5.9 x 10-4
• written in standard form?
• 59,000
• .0059
• .00059
• 5900

16
Answer

• C. 0.00059
• Scientific notation with negative exponents are
  smaller numbers..
• Move the decimal 4 places to the left.

17
CRCT1

• The square root of 30 is in between which two
  whole numbers?
• A. 5 6
• B. 25 36
• C. 4 5
• D. 6 7

18
Answer

• A. 5 and 6
• Use perfect squares to check and see where the
  square root of 30 falls.
• Square root of 25 is 5 and square root of 36 is
  6, so square root of 30 falls somewhere in
  between those two numbers.

19
CRCT1

• Write in scientific notation
• 134, 000

20
Answer

• 1.34 x 105
• Larger numbers have scientific notation exponents
  that are positive.
• Make sure the c value is 1 or more, but less
  than 10.

21
CRCT2

• Lines m and n are parallel. Which 2 angles have
  a sum that measure 180
• m 1
  2
• 4
  3
• n 5
  6
• 8 7
• A. lt 1 and lt 3
• B. lt2 and lt6
• C. lt4 and lt5
• D lt6 and lt8

22
Answer

• C. lt4 and lt5

23
CRCT2

• Which angle corresponds to lt2
• 1 2
• 3 4
• A. lt3 5 6
• B. lt6 7 8
• C. lt7
• D. lt8

24
Answer

• B. lt6

25
CRCT2

• What do parallel lines on a coordinate plane have
  in common?
• Same equation
• Same slope
• Same y-intercept
• Same x-intercept

26
Answer

• B. Same slope

27
CRCT2

• In the figure below, find the missing side.
• 4 x
• A. x 9
• B. x 10 6 12
• C. x 8
• D. x 5

28
Answer

• C. X 8

29
CRCT2

• How long is the hypotenuse of this right
  triangle?
• 5 cm
• 12 cm
• A. 13 cm
• B. 15 cm
• C. 18 cm
• D. 20 cm

30
Answer

• A. 13 cm
• Pythagorean Theorem

31
CRCT3

• Which mathematical expression models this word
  expression?
• Eight times the difference of a number and 3
• A. 8n 3
• B. 3 8n
• C. 3(8 n)
• D. 8(n 3)

32
Answer

• 8(n-3)

33
CRCT3

• If a 24, evaluate 49 a 13.
• 86
• 60
• 38
• 12

34
Answer

• C. 38

35
CRCT3

• Solve the following equation and choose the
  correct solution for n.
• 9n 7 61
• 5
• 6
• 7
• 8

36
Answer

• B. 6

37
CRCT3

• Solve the following and graph on the number line
• y 7 gt 6

38
Answer

• Ygt-1
• Make sure there is an open circle on -1 and you
  shade to the right..

-1
39
CRCT3

• Chose the correct solution for x in this
  equation
• X 3 12
• 9 and 15
• -9 and -15
• -9 and 15
• 9 and -15

40
Answer

• D. 9 and -15

41
CRCT4

• Which relation is a function?
• A. B. C. D.
• 5 1 5 1 5 1
  5 1
• 10 2 10 2 10 2 10
  2
• 15 3 15 3 15 3 15
  3

42
Answer

• C - A relation is a function when each element
  of the first set corresponds to one and only one
  element of the second set.

43
CRCT4

• What is the slope of the graph of the linear
  function given by this arithmetic sequence
• 2,7,12,17,22
• 5
• 2
• -2
• -5

44
Answer

• A. 5
• Slope is the common difference of an arithmetic
  sequence

45
CRCT4

• What is the equation of the linear function
  given by this arithmetic sequence?
• 7, 10, 13, 16, 19
• y x 3
• y 2x 4
• y 3x 3
• y 3x 4

46
Answer

• D. y 3x 4
• Remember slope is the common difference and the y
  intercept is the zero term.

47
CRCT4

• Which of the following could describe the graph
  of a line with an undefined slope?
• The line rises from left to right
• The line falls from left to right
• The line is horizontal
• The line is vertical

48
Answer

• D. The line is vertical

49
CRCT4

• How would you graph the slope of the line
  described by the following linear equation?
• y -5x 5
• 3
• A. Down 5, left 3
• B. Up 5, right 3
• C. Down 5, right 3
• D. Right 5, down 3

50
Answer

• C. Down 5, right 3
• Rise over Run.

51
CRCT5

• Tom has 4 blue shirts, 2 pink shirts, 5 red
  shirts, and 1 brown shirt in his closet.
• What is the probability of him pulling out a pink
  shirt?
• 1/12
• 1/6
• 2/12
• 2/6

52
Answer

• B.
• Find the total number (denominator) of
  shirts.then look at the possibility of pulling a
  pink shirt2/12 reduces to 1/6

53

CRCT 5 What is the intersection of Set A and Set
B?
U
A
B
2 6 3 8 5 10
7 4 9

1. 3, 7 C. 2, 3,
   4, 6, 7, 8, 10
2. 2, 4, 6, 8, 10 D. O

54
Answer

• A. 3, 7

55
CRCT5

• How many outcomes are there for rolling a number
  cube with faces numbered 1 through 6 and spinning
  a spinner with 8 equal sectors numbered 1 through
  8?
• A. 1
• B. 8
• C. 14
• D. 48

56
Answer

• D. 48

57
CRCT5

• Which of the following is NOT a subset of 35,
  37, 40, 41, 43, 45?
• 43
• 35, 37, 40, 41, 43, 45
• 35, 37, 39, 41
• 40, 41, 43, 45

58
Answer

• C. 35, 3, 39, 41

59
CRCT5

• Set A m,a,t,h Set B l,a,n,d
• Sets A and B are both subsets of the alphabet.
  Let C A U B. What is the complement of C?
• a
• m,a,t,h,l,n,d
• b,c,e,f,g,i,j,k,o,p,q,r,s,u,v,w,x,y,z
• b,c,f,g,i,j,o,p,q,r,s,u,v,w,x

60
Answer

• C. All letters of the alphabet except
• m,a,t,h,l,n,d

61
CRCT6

• Nick drew a triangle with sides 6 cm, 10 cm, and
  17 cm long. Nora drew a similar triangle to
  Nicks. Which of the following can be the
  measurements of Noras triangle?
• 2 cm, 3 cm, and 7.5 cm
• 2 cm, 6 cm, and 13 cm
• 3 cm, 6 cm, and 6.5 cm
• 3 cm, 5 cm, and 8.5 cm

62
Answer

• D. 3 cm, 5 cm, and 8.5 cm

63
CRCT 6

• Fabio earns 9.50 per hour at his part time job.
  Which equation would you use to find t, the
  number of hours Fabio worked if he earned 361?
• A. 361 _t__ C. 9.50 __t__
• 9.50 361
• B. 361 9.50 t D. 361 9.50t

64
Answer

• D. 361 9.50t

65
CRCT 6

• Nathan has 5 fewer than twice the number of
  sports cards Gene has. If c represents the
  number of sports cards Gene has, which expression
  represents the number of cards Nathan has?
• A. 5c 2
• B. 2c 5
• C. 2(c 5)
• D. 5(2c)

66
AnswerB. 2c - 5
67
CRCT 6

• Tommy has nickels and dimes in his pocket. He
  has a total of 16 coins. He has 3 times as many
  dimes as nickels.
• If n represents the number of nickels and d
  represents the number of dimes, which system of
  equations represents this situation?
• A. n d 16 C. n d 16
• n 3 d d 3n
• B. n d 16 D. n d 16
• n 3d d n 3

68
Answer

• n d 16
• d 3n

69
CRCT 6

• Toby is saving 15 per week. Which inequality
  shows how to find the number of weeks (w) Toby
  must save to have at least 100?
• A. 15w lt 100
• B. 15w lt 100
• C. 15w gt 100
• D. w 15 gt 100

70
Answer

• C. 15w gt 100

71
Final JeopardyCRITICAL THINKING

• Lindsay, Lee, Anna, and Marcos formed a study
  group. Each one has a favorite subject that is
  different from the other. The subjects are art,
  math, music, and physics. Use the following
  information to match each person with his or her
  favorite subject.
• Lindsay likes subjects where she can use her
  calculator Lee does not like music or physics
  Anna and Marco prefer classes in cultural arts
  and Marcos plans to be a professional cartoonist.
  

72
Final Jeopardy Solution

• Lindsay Physics
• Lee Math
• Anna Music
• Marcos Art

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