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
CRCT1
CRCT2
CRCT3
CRCT4
CRCT5
CRCT6
100
100
100
100
100
100
200
200
200
200
200
200
300
300
300
300
300
300
400
400
400
400
400
400
500
500
500
500
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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