Download Essential Learning Review

Essential
Learning
Review
Essential Learning Review
Topics are correlated to the 5th grade
textbook. Please use the pdf links
provided on the school website.
Part 1
Part 2
Part 3
Essential Learning Review
Grade 6 Essential Learning
These skills should be mastered by students entering grade 6. Mastery of
essential learning from previous grade levels continues to be
expected.
All previous grades plus…
Number Sense and Operations
Basic fraction knowledge (Chapter 7 Lessons 1-12 p.394-423)
Numerator, denominator
Simplifying
Improper fraction to mixed number and vice versa
Equivalent fractions
Rounding whole numbers and decimals up to the thousandths place
(Chapter 1 Lesson 3 p.8-11; Lesson 8 p.26-27)
Add and subtract decimals (Chapter 1 Lessons 12-13 p.38-41)
Add and subtract fractions and mixed numbers with like denominators (no
regrouping) (Chapter 8 Lessons 1 and 5 p.460-461, 472-473)
Understand the relationship between fractions and decimals (Chapter 7
Lessons 13-14 p.426-433)
one-tenth is
1 and 0.1
10
Essential Learning Review
Geometry and Measurement
Basic geometry facts (Chapter 6 Lessons 1-6 p.328-351)
Types of angles and triangles
Differences between types of quadrilaterals
Use formulas to find area, perimeter and volume with proper
labels
Perimeter – linear (Chapter 9 Lesson 5 p.540-541)
Area – square units (Chapter 9 Lessons 7-10 p.548-557)
Volume – cubed units (Chapter 10 Lesson 5 p.610-613)
Graphing ordered pairs in quadrant one (Chapter 12 Lesson
9 p.724-727)
Know the difference between coordinates and axes (Chapter
3 Lesson 14 p.174-175)
Convert units in the customary system (Chapter 9 Lesson 1
p.528-531)
Essential Learning Review
Patterns and Algebra
Understand the meaning of a variable
(Chapter 2 Lesson 12 p.100-103)
Evaluate algebraic expressions (Chapter 2
Lesson 12 p.100-103)
Value of a + 7 or 8a if a = 9
Solve algebraic equations using mental
math (Chapter 2 Lesson 15 p.108-109)
X+3=9
Essential Learning Review
Data Analysis, Statistics and Probability
Find mean, median, mode and range (Chapter 5
Lesson 6 p.282-285)
Create a bar and line graph with proper scale,
interval, axis labels, title (Chapter 5 Lessons
2-4 p.262-269)
Find the probability of simple everyday events
written as fractions (Chapter 5 Lesson 12
p.302-305)
Chance with a spinner, coin, number cube
Example: chances of winning a boardwalk game
Essential Learning Review
Problem Solving
Solve two step word problems using various
strategies
Make an organized list (Chapter 2 Lesson 6 p.8081)
Work backwards (Chapter 8 Lesson 9 p.484-487)
Guess and check (Chapter 4 Lesson 3 p.210-211)
Make a table (Chapter 11 Lesson 5 p.660-661)
Draw a picture (Chapter 9 Lesson 11 p.558-559)
Solve a simpler problem (Chapter 6 Lesson 7
p.352-354)
Decide if answers are reasonable (Chapter 1
Lesson 14 p.42-45)
Essential Learning Review
Place Value and Rounding
• Numbers to the right of the
decimal point end in “ths”
• Read the number before the
decimal; read decimal point as
“and”; read the number after the
decimal; finish with the place
value…one million, three hundred
forty two thousand, three hundred
sixty five and one thousand four
hundred twenty seven tenthousandths
Essential Learning Review
Place Value and Rounding
• To round – identify the place
you are rounding; every digit in
front of it stays the same; look at
the place value to the right; 0-4
your number stays the same; 5-9
your number increases by 1; all
digits to the right become zero
• Round to the hundredths
1, 342, 365.1427
1, 342, 365.1_27
1, 342, 365.1400
Essential Learning Review
Place Value and Rounding
• Link to practice games
http://www.gamequarium.com/pla
cevalue2.html
Essential Learning Review
Fractions
Basic Fraction Knowledge
http://www.jamit.com.au/htmlFolder/FRAC1001.html#examples
Essential Learning Review
Fractions
Simplifying Fractions
• Divide the numerator and
denominator by the same
number
– If you divide by the GCF
you are done in one step
– You know you can stop
dividing when there is no
number other than 1 that
goes into the numerator
and denominator
Equivalent Fractions
• Multiply or divide the
numerator and
denominator by the same
number
Essential Learning Review
Fractions
Links to Simplifying and Equivalent Fraction Games
http://www.funbrain.com/fract/index.html
http://www.jamit.com.au/htmlFolder/app1002.html
http://classroom.jc-schools.net/basic/math-fract.html
Essential Learning Review
Fractions
Improper Fractions to Mixed
Numbers
• Numerator ÷ denominator
– This becomes your whole
number
• What is your remainder?
– This becomes your new
numerator
• Your denominator stays
the same
Example:
8
5
1
58
5
3
8
3
1
5
5
Essential Learning Review
Fractions
Mixed Numbers to Improper
Fractions
• Whole number x
denominator + numerator
– This becomes your new
numerator
• Your denominator stays
the same
Example:
3
1
5
1x5  3  8
3 8
1 
5 5
http://www.jamit.com.au/htmlFolder/app1003.html
Essential Learning Review
Fractions
Adding and Subtracting
Fractions
• Add or subtract the
numerators
• Your denominator
stays the same
• Simplify your answer
Example:
video example
Essential Learning Review
Fractions
Adding and Subtracting
Mixed Numbers
• Add or subtract the
numerators
• Add or subtract the
whole
• Your denominator
stays the same
• Simplify your answer
Example:
watch an example
Essential Learning Review
Decimals
Fraction versus
decimals
• For every fraction
there is a decimal
with the same name!
Example:
1
10
Write a decimal that has a
1 in the tenths place.
0.1
Essential Learning Review
Decimals
Fraction versus
decimals
• For every decimal
there is a fraction with
the same name!
Example:
0.03
Write a fraction that reads
3 hundredths.
3
100
Essential Learning Review
Decimals
Fraction versus
decimals
• It’s very important that
the denominator of
your fraction is 10,
100, 1000 (or any
power of 10) because
these match your
decimal place values.
Example:
Change your
denominator to a
2 power of 10 (multiply
x 2 = 10). Then
5 5multiply
your
numerator by the
same number.
2 x2 4

5 x 2 10 Equivalent
decimal is 0.4
Essential Learning Review
Decimals
Adding and subtracting
decimals
• Line up place values
and decimal point.
• Input zeros in empty
spaces.
• Bring decimal point
down.
• Add or subtract like
normal.
Decimal rules
Watch how it’s done
Practice with decimal
football
Essential Learning Review
Geometry
Basic Facts
• Point – a definite location in space
• Line – goes on “infinitely” in both directions
• Line segment – part of a line
• Ray – has one endpoint and goes on infinitely in one
direction
• Parallel lines – will never intersect
• Perpendicular lines – intersect to form right angles ┼
Check out the proper symbols for these terms
Essential Learning Review
Geometry
Types of Angles
Acute
Obtuse
Right
Straight
Types of Triangles
Click here for
descriptions
Take a practice quiz
here
Click here to learn
about the 6 types of
triangles
Essential Learning Review
Geometry
Types of Quadrilaterals
Click here for descriptions
Click here to sort quadrilaterals
Essential Learning Review
Geometry
Volume, Area and Perimeter
NJASK reference sheet
Area – The amount of space a figure covers
(square units)
Perimeter – The distance around a figure (linear
units)
Volume – The amount of space inside a 3
dimensional solid figure (cubed units)
Essential Learning Review
Geometry
Area and Perimeter
Examples
Click here for examples
Essential Learning Review
Geometry
Graphing in the first
quadrant
(5, 3)
X-coordinate
X-Axis
(tells you how many spaces to move
right)
Y-coordinate
Y-Axis
(tells you how many spaces to move
up)
Essential Learning Review
Geometry
Graphing in the first quadrant
(8, 4)
Start at zero
Move 8 spaces right
Move 4 spaces up
Put a dot at the intersection
Essential Learning Review
Geometry
Graphing in the first
quadrant
Practice worksheet
The four quadrants
Essential Learning Review
Geometry
Converting in the
Customary System
• We use this system in
the United States.
• There are
measurements of
length, capacity and
mass.
Click here for flash
cards and games
There are also
conversions on the
NJASK reference
sheet.
Essential Learning Review
Patterns and Algebra
Variable
Expressions
• Letter or symbol that
takes the place of a
number
• A mathematical
phrase including at
least one operation
• No equal sign
Examples of variables:
X, a, 
Examples:
X+5, 3y, 5b-7
Essential Learning Review
Patterns and Algebra
Equations
• A mathematical
sentence containing
an equal sign
Example:
P+3=9
Evaluating Expressions
• You must be given the
value of the variable
to find the solution
Example: x=9
x+5 plug in 9 where the x is
9+5 = 14
Essential Learning Review
Patterns and Algebra
Solving Equations
• To find the solution
you must figure out
what value of the
variable will make the
sentence true
Example:
P+3=9
P must equal 6
because 6 + 3 = 9
Evaluating Expressions
Practice worksheet
Try some of these to
practice equations
Essential Learning Review
Data Analysis, Statistics and
Probability
Mean, Median, Mode
and Range
• Mean – the average
– Add all the numbers
together and divide by
how many numbers
there are
• Median – the middle
number
– Line the numbers up
from least to greatest
and find the number in
the middle
– If there are 2 numbers
in the middle – find the
mean of those two
numbers
Essential Learning Review
Data Analysis, Statistics and
Probability
Mean, Median, Mode
and Range
• Mode – the number
that occurs most often
– There may be no
modes
– There may be more
than one mode
• Range – the
difference between
the highest and
lowest numbers
– Subtract the highest
number minus the
lowest number
Lots of worksheets
Essential Learning Review
Data Analysis, Statistics and
Probability
Bar Graph
Line Graph
All you need to know
about making a bar
graph
So many line graph
examples
Essential Learning Review
Data Analysis, Statistics and
Probability
Bar and Line Graphs
Key Words and Points to Remember
• Scale
• Interval
• X and y axes
• All bars should be equally spaced and the
same width
• DO NOT connect the bars
Essential Learning Review
Data Analysis, Statistics and
Probability
Probability
What is the probability of
spinning an even
number? P(even)
There are 8
numbers and 4 are
even so the
probability is 4  1
8
2
Essential Learning Review
Data Analysis, Statistics and
Probability
Probability
The chance of something
happening is your
numerator.
The total chances possible
is your denominator.
even #’s 4 1
total #’s 8  2
Essential Learning Review
Problem Solving
Solve two step word problems using various strategies
Make an organized list (Chapter 2 Lesson 6 p.80-81)
Work backwards (Chapter 8 Lesson 9 p.484-487)
Guess and check (Chapter 4 Lesson 3 p.210-211)
Make a table (Chapter 11 Lesson 5 p.660-661)
Draw a picture (Chapter 9 Lesson 11 p.558-559)
Solve a simpler problem (Chapter 6 Lesson 7 p.352-354)
Decide if answers are reasonable (Chapter 1 Lesson 14 p.42-45)
FOR THE ABOVE PROBLEM SOLVING TOPICS
PLEASE REFER TO THE ONLINE 5TH GRADE
TEXT BOOK FOR PRACTICE PROBLEMS AND
EXAMPLES.