crct test-taking tips & strategies
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CRCT Test-taking Tips & Strategies. Before reading the problem and trying to answer the question: Order data sets given in the problem . Read graphs for understanding. UNIT 1 Tips & Strategies. Unit 1 TIP #1. Order data sets given in the problem. - PowerPoint PPT PresentationTRANSCRIPT
CRCT Test-takingTips & Strategies
UNIT 1 TIPS & STRATEGIESBefore reading the problem and trying to answer the question:• Order data sets given in the
problem.• Read graphs for understanding
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.
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.
Unit 1
TIP #2
Read graphs for understanding. • Key or table• Axes’ labels
What labels belong on the horizontal and vertical axes?
Unit 1
TIP #2Read graphs for understanding. • Scale• Intervals
Why are the scale and intervals of both axes appropriate?
Unit 1
TIP #2
Read graphs for understanding. How many yards had fewer than six trees?A) 79 C) 21B) 58 D) 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
Unit 2
TIP #1To find factors of a number, test divisibility by numerical order starting with 1, then 2, then 3 and so on. Record factors in pairs.
48
48 ÷ 1 = 48
48 ÷ 2 = 24
48 ÷ 3 = 16
48 ÷ 4 = 12
48 ÷ 6 = 8
48 ÷ 8 = 6
STOPwhen the factors
‘turn around’
Factors of 48:• 1, 48, 2, 24, 3,
16, 4, 12, 6, 8 or
• 1, 2, 3, 4, 6, 8, 12, 16, 24, & 48
Unit 2
TIP #2GCF- Starting with the greatest factor of the smallest number, see if the larger number is also divisible by the smallest number’s factors.
GCF of 48 and 72 Factors of 48:48 ÷ 1 = 48 1, 4848 ÷ 2 = 24 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 72GCF Venn Diagram
Unit 2
TIP #3LCM- Starting with the least multiple of the greatest number, see if the greatest number’s multiples are also multiples of the smaller number.
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
Unit 2
TIP #4Prime 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
Memorize the first ten prime numbers:2, 3, 5, 7, 11, 13, 17, 19, 23, 29
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
Unit 3
TIP #1Equivalent Fractions
• Simplest Form/Lowest Terms
= =
GCF of is 1• Higher Terms (used in + & -) Numerator & denominator are multiplied by a fraction form of one*
Funbrain Equivalent Fractions Choose medium to hard difficulty!
Fractions can be written in
lowest terms
or higher terms
by multiplying
or dividing by
a fraction
form of 1*
Unit 3
TIP #2Comparing Fractions
• Same N
• Same D
• Different N & D 1st 2nd
MathPlayground Compare applet
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
Unit 3
TIP #3Estimate b4u Operate
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.
Unit 3
TIP #4Fraction
Multiplication & Divisionmultiplicationalgorithm
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!
divisionalgorithm
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!
Fraction multiplication
means taking part of a part;
Fraction division is always rewritten
as multiplication.
Unit 3
TIP #5Fraction-Decimal-Percent
Equivalents
Fraction to Decimal Divide the N by the D
Decimal to PercentMultiply by 100
Decimal to FractionRead It-Write It-Reduce It
This diagram summarizes how to convert fractions to decimals to percent
Wisc-online slideshow f-d-% conversions
Fraction
Decimal
Percent
3 ways to represent the
same value
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
Unit 4
TIP #1Order of Operations• Grouping Symbols
– parentheses ( ) – brackets [ ] – fraction bar
• Exponents• Multiplication or Division (L to R)• Addition or Subtraction (L to R)
Amby's Order of Operations Tutorial & Practice
Always follow the order of operations
when evaluating
expressions
Unit 4
TIP #2Balanced Equations
Can you find two different expressions that balance? Write the expressions with an equal sign between them to make an equation.Examples: 3 x 2 = 5 + 1
or for x = 2, 3(x+2) = 3 x 5
Pan Balance - NumbersPan Balance – Algebraic Expressions with graph
Equations have two sides that are always balanced.
Unit 4
TIP #3Inverse Operations
Addition - - - - - - - - - - - - Subtraction2 + 3 = 5 5 – 3 = 2x + 3 = 5 5 – 3 = xSubtraction - - - - - - - - - - - - Addition8 – 3 = 5 5 + 3 = 8x – 5 = 3 3 + 5 = x Multiplication - - - - - - - - - - Division3 4 = 12 12 ÷ 3 = 4 3 x = 12 12 ÷ 3 = x Division - - - - - - - - - - - - - Multiplication28 ÷ 7 = 4 4 7 = 28x ÷ 7 = 4 4 7 = x
Inverse operations
‘undo’ useful for solving equations
Inverse Operations in 1-Step Equations
Unit 4
TIP #4 Patterns to RulesPattern: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 4 5 ?
3 4 5 6 7 8 9 10 110
1
2
3
4
5
6
f(x) = 0.5 x
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: 0, 90,
180, 270, 360 The degree of rotational symmetry for
regular polygons is calculated as 360 (degrees in a circle) ÷ number of sides
Unit 5
TIP #1 Line SymmetryAn equilateral triangle has 3 lines of
symmetry (3 sides = 3 lines)
Line & Rotational Symmetry Review and Test @ 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?
Unit 5
TIP #2Circles 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
Practice estimating degrees of turn in a circle @ Banana Hunt
Calculate rotational symmetryof figures with this Learning Math Interactivity (360 ÷ number of sides)
Flipscript Ambigram Generator Create rotational symmetry with your name!
UNIT 6 TIPS & STRATEGIES• Keys to reading a ruler-
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
Unit 6
TIP #1Metric
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 inch click to see
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 termsRead A Ruler GameFunBrain measurement
3.3 cm
1 in.
Unit 6
TIP #2Corresponding
Parts & ProportionsSimilar Triangles ABC and A’B’C’
The ratio of the side lengths of
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 lessonSimilar Triangles applet
∆ 𝐴
∆𝐵
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
Unit 7
TIP #1Memorize
common equivalents
NLVM Converting Units InteractivityMatching customary equivalentsMatching metric equivalents
Corresponding units keep the same position in both ratios of a proportion when converting measures within a system
Unit 7
TIP #2
Take Lessons 9-3 and 9-4 Interactive Practice Quizzes and learn more about proportions in Lesson 7-3 using the online textbook resources @ myhrw.com9-3 Interactive Practice Quiz9-4 Interactive Practice Quiz7-3 Proportion Interactivity
Unit 7
TIP #3
Graph Mole- 3 versionsFunBrain What’s the Point?Billy Bug game
Math-play Coordinate plane game
GraphingOrdered 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)
Unit 7
TIP #4 Map Scale Direct Variation
Representations of
Direct Variation- rule - table- equation- graphTo learn more look in your Holt textbook @ the Chapter 11 Extension, Direct Variation, pp652-653 or watchDirect Variation video tutorial about weights on the moon and on earth.
Can you find . . .the number of miles 2 inches represents using the equation? the table? the graph?
Number of inches
Number of miles
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
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
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)