1. CRCT Test-taking Tips & Strategies

2. UNIT 1 Tips & Strategies
Before reading the problem and trying to answer the question:
Order data sets given in the problem.
Read graphs for understanding

3. Unit 1 TIP #1 Order data sets given in the problem.
Knight TV has asked each grade level to tape a segment on the canned food drive. Would 6th grade be better off reporting their mean, median or mode as their average number of canned food items collected weekly?
Explain your answer.

4. Unit 1 TIP #2 Read graphs for understanding Type of graph Title
Why do you think a histogram was chosen to display the data?
What title would you suggest for this graph? Explain your answers.

5. Unit 1 TIP #2 Read graphs for understanding. Key or table Axes’ labels
What labels belong on the horizontal and vertical axes?

6. Read graphs for understanding. Scale Intervals
Unit 1 TIP #2
Read graphs for understanding.
Scale
Intervals
Why are the scale and intervals of both axes appropriate?

7. Unit 1 TIP #2 Read graphs for understanding.
How many yards had fewer than six trees?
A) C) 21
B) D) 8

8. UNIT 2 Tips & Strategies
Find factors in pairs starting with 1, continue checking divisibility systematically
GCF- list & check factors of smallest number
LCM- list & check multiples of largest number
Only prime numbers are used in prime factorization

9. Unit 2 TIP #1
Factors of 48:
1, 48, 2, 24, 3, 16, 4, 12, 6, 8 or
1, 2, 3, 4, 6, 8, 12, 16, 24, & 48 48
48 ÷ 1 = 48
48 ÷ 2 = 24
48 ÷ 3 = 16
48 ÷ 4 = 12
48 ÷ 6 = 8
48 ÷ 8 = 6
To find factors of a number, test divisibility by numerical order starting with 1, then 2, then 3 and so on. Record factors in pairs.
STOP
when the factors
‘turn around’

10. GCF of 48 and 72
Factors of 48:
48 ÷ 1 = , 48
48 ÷ 2 = , 24
72 ÷ 48 = 1 R 24 NO, 48 is divi-sible by 48, but 72 is not divisible by 48
72 ÷ 24 = 3, YES, 72 and 48 are both divisible by 24 so . . .
24 is the GCF of 48 and 72
GCF Venn Diagram
Unit 2 TIP #2
GCF- Starting with the greatest factor of the smallest number, see if the larger number is also divisible by the smallest number’s factors.

11. Unit 2 TIP #3
LCM of 48 and 72
Multiples of 72: 72, 144,
72 ÷ 48 = 1 R 24 NO, 72 is a multiple of itself but is not a multiple of 48
144 ÷ 48 = 3, YES, 144 is a multiple of both 72 and 48 so . . .
144 is the LCM of 48 and 72
LCM Venn Diagram
LCM- Starting with the least multiple of the greatest number, see if the greatest number’s multiples are also multiples of the smaller number.

12. Memorize the first ten prime numbers:
Prime factorization
No matter which factor pair you start with, only prime factors are in the prime factorization of a number
Exponents tell how many times a prime factor is used in the prime factorization
Example:
Breaking Apart Prime Factors
Unit 2 TIP #4
Memorize the first ten prime numbers:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29

13. UNIT 3 Tips & Strategies
Equivalent fractions may be written in simplest form or higher terms (useful for + or – with common denominators)
Comparing fractions – 3 cases
Estimate with benchmarks before you add or subtract fractions
Know the algorithms and patterns when multiplying or dividing fractions
Rational numbers have equivalent fraction, decimal and percent representations

14. Equivalent Fractions 𝟖 𝟑𝟎 = 𝟐×𝟐×𝟐 𝟐×𝟑×𝟓 = 𝟒 𝟏𝟓 Unit 3 TIP #1
Simplest Form/Lowest Terms
𝟖 𝟑𝟎 = 𝟐×𝟐×𝟐 𝟐×𝟑×𝟓 = 𝟒 𝟏𝟓
GCF of 𝒏𝒖𝒎𝒆𝒓𝒂𝒕𝒐𝒓 𝒅𝒆𝒏𝒐𝒎𝒊𝒏𝒂𝒕𝒐𝒓 is 1
Higher Terms (used in + & -)
Numerator & denominator are multiplied by a fraction form of one*
Funbrain Equivalent Fractions Choose medium to hard difficulty!
Unit 3 TIP #1
Fractions can be written in
lowest terms
or higher terms
by multiplying
or dividing by
a fraction
form of 1*
∗1= 1 1 = 2 2 = =. . . = 𝑛 𝑛

15. Comparing Fractions Unit 3 TIP #2 Same N Same D Different N & D
1st nd
MathPlayground Compare applet
Unit 3 TIP #2
3 cases for
Comparing fractions:
-Numerator is the same- smaller denominator is the larger fraction
-Denominator is the same- larger numerator is the larger fraction
-Different numerator & denominator- compare cross products

16. Estimate b4u Operate Unit 3 TIP #3
Study Stack Estimating Flashcards
Estimate Before You Add or Subtract Fractions
Round fractions to the nearest benchmark:
0 ½ 1 and so on before adding or subtracting to see if your answer is reasonable.

17. Multiplication & Division
Fraction
Multiplication & Division
multiplication
algorithm
Interesting to note, multiplying a whole number by a fraction smaller than one makes a product smaller than the whole number Example: 2 x ¼ = ½
Multiply Fractions - just enter the problem in the form and click multiply!
division
Interesting to note, dividing a whole number by a fraction smaller than one makes a quotient larger than the whole number Example: 2 ÷ ¼ = 8
Divide fractions - just enter the problem in the form and click divide!
Unit 3 TIP #4
Fraction multiplication means taking part of a part;
Fraction division is always rewritten as multiplication. .

18. Fraction-Decimal-Percent 3 ways to represent the same value
Equivalents
Fraction to Decimal
Divide the N by the D 𝟑 𝟒 =𝟎.𝟕𝟓
Decimal to Percent
Multiply by 100
Decimal to Fraction
Read It-Write It-Reduce It
This diagram summarizes
how to convert fractions to
decimals to percent
Wisc-online slideshow f-d-% conversions
Unit 3 TIP #5
Fraction
Decimal
Percent
3 ways to represent the same value .

19. UNIT 4 Tips & Strategies
Evaluate expressions correctly by following the order of operations
Equations are always balanced
Inverse Operations ‘undo’ – useful for solving 1-step equations
Number Patterns can be described by rules and represented by tables, with symbols, or on a graph

20. Always follow the order of operations when evaluating expressions
Grouping Symbols
parentheses ( )
brackets [ ]
fraction bar 𝑛𝑢𝑚𝑒𝑟𝑎𝑡𝑜𝑟 𝑑𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟
Exponents
Multiplication or Division (L to R)
Addition or Subtraction (L to R)
Amby's Order of Operations Tutorial & Practice
Unit 4 TIP #1
Always follow the order of operations when evaluating expressions .

21. Equations have two sides that are always balanced.
Balanced Equations
Can you find two different expressions that balance? Write the expressions with an equal sign between them to make an equation.
Examples: x 2 = 5 + 1 or
for x = 2, (x+2) = 3 x 5
Pan Balance - Numbers
Pan Balance – Algebraic Expressions with graph
Unit 4 TIP #2
Equations have two sides that are always balanced. .

22. Inverse operations ‘undo’ useful for solving equations
Addition Subtraction
2 + 3 = – 3 = 2
x + 3 = – 3 = x
Subtraction Addition
8 – 3 = = 8
x – 5 = = x
Multiplication Division
3 ∙ 4 = ÷ 3 = 4
3 ∙ x = ÷ 3 = x
Division Multiplication
28 ÷ 7 = ∙ 7 = 28
x ÷ 7 = ∙ 7 = x
Unit 4 TIP #3
Inverse operations ‘undo’ useful for solving equations
Inverse Operations in 1-Step Equations .

23. Patterns to Rules Pattern: Rule: Table: Symbols: (x, x÷2) Graph:
Unit 4 TIP #4
Patterns to Rules
Pattern:
Rule:
Table:
Symbols: (x, x÷2)
Graph:
Four ways to describe what happens in a pattern:
Rule- words
Table- number pairs
Symbols- notation such as diagrams, expressions and equations
Graphs- ordered pairs on coordinate plane
ThinkQuest Number Patterns
1st number 4 8 10 16
2nd number 2 5 ? .

24. UNIT 5 Tips & Strategies
Regular polygons have the same number of lines of symmetry as number of sides
Rotational Symmetry-
Circle has 360 of turn
Benchmark angles of a circle: , 90, 180, 270, 360
The degree of rotational symmetry for regular polygons is calculated as
360 (degrees in a circle) ÷ number of sides

25. An equilateral triangle has 3 lines of symmetry (3 sides = 3 lines)
Unit 5 TIP #1
Line Symmetry
An equilateral triangle has 3 lines of symmetry (3 sides = 3 lines)
Line & Rotational Symmetry Review and Bitesize Maths
Regular polygons (all sides congruent) have the same number of lines of symmetry as number of sides.
How many lines of symmetry does a square have? .

26. Circles and Rotational Symmetry
Practice estimating degrees of turn in a Banana Hunt
Calculate rotational symmetry
of figures with this Learning
Math Interactivity
(360 ÷ number of sides)
Flipscript Ambigram Generator
Create rotational symmetry with your name!
Unit 5 TIP #2
Circles and Rotational Symmetry
-Circle has 360 of turn
-Benchmark angles-
90, 180, 270, 360 are reference points to estimate degrees of turn
-Degree of rotational symmetry for regular polygons is equal to
360 ÷ number of sides .

27. UNIT 6 Tips & Strategies Keys to reading a ruler- Similar figures-
identifying units as metric or customary
finding number of equal parts in each unit
knowing how to write parts of a unit
Similar figures-
corresponding parts have the same ratio which means sides are ‘proportional’
measures of corresponding parts keep the same position in both ratios of a proportion

28. Customary (aka standard)
Unit 6 TIP #1
Metric
What is the length of the line to the nearest tenth of a cm?
click to see
Customary (aka standard)
What is the length of the line to the nearest 𝟏 𝟏𝟔 inch
Reading a ruler:
-Metric lengths less than one cm are measured in tenths (each cm is divided into ten equal parts) & written in decimal form;
- Customary lengths less than one inch are measured as halves, fourths, eighths, or sixteenths (each inch is divided into 2, 4, 8, or 16 equal parts) and written as fractions in lowest terms
Read A Ruler Game
FunBrain measurement
3.3 cm .
1 𝟓 𝟏𝟔 in.

29. Corresponding Parts & Proportions Similar Triangles ABC and A’B’C’
Unit 6 TIP #2
Corresponding Parts & Proportions
Similar Triangles ABC and A’B’C’
𝑠𝑖𝑑𝑒 𝑙𝑒𝑛𝑔𝑡ℎ𝑠 𝑜𝑓 ∆𝐴 𝑠𝑖𝑑𝑒 𝑙𝑒𝑛𝑔𝑡ℎ𝑠 𝑜𝑓 ∆𝐵 = 4 20 = 6 30 = 9 45
The ratio of the side lengths of
∆𝐴 :∆𝐵 is 1:5
Similar Figures
* corresponding parts have the same ratio which means side lengths are ‘proportional’
* measures of corresponding parts keep the same position in each ratio
Math.com lesson
Similar Triangles applet ∆𝐴 ∆𝐵 .

30. UNIT 7 Tips & Strategies Memorize common measurement equivalents
Corresponding units keep the same position in both ratios of a proportion when converting measures within a system
Graphing Ordered Pairs (x, y)
x is first in the ordered pair and graphed on the horizontal axis (left to right)
y is second in the ordered pair and graphed on the vertical axis (up and down)
A direct variation may be represented
in an input-output table
on the coordinate plane as the graph of a line
as an equation y=kx

31. Memorize common equivalents
NLVM Converting Units Interactivity
Matching customary equivalents
Matching metric equivalents
Unit 7 TIP #1 .

32. Unit 7 TIP #2
Corresponding units keep the same position in both ratios of a proportion when converting measures within a system
Take Lessons 9-3 and 9-4
Interactive Practice Quizzes and learn more about proportions in Lesson 7-3 using the online textbook myhrw.com
9-3 Interactive Practice Quiz
9-4 Interactive Practice Quiz
7-3 Proportion Interactivity

33. Unit 7 TIP #3 Graphing Ordered Pairs (x, y)
Graph Mole- 3 versions FunBrain What’s the Point? Billy Bug game Math-play Coordinate plane game
Unit 7 TIP #3
Graphing
Ordered Pairs
(x, y)
- x comes first in the ordered pair and is graphed on the horizontal axis (left to right)
- y is second in the ordered pair and is graphed on the vertical axis (up and down) .

34. Representations of Direct Variation
Map Scale
Direct Variation
Unit 7 TIP #4
Representations of
Direct Variation
rule
table
equation
graph
To learn more look in your Holt the Chapter 11 Extension, Direct Variation, pp or watch
Direct Variation video tutorial about weights on the moon and on earth.
Number of inches
Number of miles .
Can you find . . .
the number of miles 2 inches represents using the equation? the table? the graph?

35. UNIT 8 Tips & Strategies
Classify prisms, pyramids, cylinders, and cones and recognize their nets using properties of solids
Faces
Bases
Edges
Practice applying formulas for:
Area of rectangles, triangles, and circles
Volume of prisms and cylinders
Surface area is total area of all faces and bases
Use the correct units for what is being measured

36. Unit 8 TIP #1
Solids- cylinders, cones, prisms, and pyramids- are classified by their common properties:
Faces
Bases
Edges
3-D Interactivity with 2-D nets
Which 3-D solid will this 2-D net form when folded?
click here for answer: .
Square pyramid

37. Practice applying formulas for surface area and volume of solids.
Unit 8 TIP #2
Practice applying formulas for surface area and volume of solids.
Don’t forget to check the front page of the
CRCT Test for formulas!
formulas practice (scroll down for lesson links)