Essential Learning Review

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Essential Learning Review
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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

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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 and 0.1

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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)

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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

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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

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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)

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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 valueone million,
  three hundred forty two thousand, three hundred
  sixty five and one thousand four hundred twenty
  seven ten-thousandths

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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

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Essential Learning Review

• Place Value and Rounding

• Link to practice games
• http//www.gamequarium.com/placevalue2.html

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Essential Learning Review

• Fractions

Basic Fraction Knowledge http//www.jamit.com.au/
htmlFolder/FRAC1001.htmlexamples
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Essential Learning ReviewFractions

• 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

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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.h
tml
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Essential Learning ReviewFractions

• 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

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Essential Learning ReviewFractions

• Mixed Numbers to Improper Fractions
• Whole number x denominator numerator
• This becomes your new numerator
• Your denominator stays the same

Example
http//www.jamit.com.au/htmlFolder/app1003.html
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Essential Learning ReviewFractions

• Adding and Subtracting Fractions
• Add or subtract the numerators
• Your denominator stays the same
• Simplify your answer

Example

• video example

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Essential Learning ReviewFractions

• 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

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Essential Learning ReviewDecimals

• Fraction versus decimals
• For every fraction there is a decimal with the
  same name!

Example Write a decimal that has a 1 in the
tenths place. 0.1
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Essential Learning ReviewDecimals

• Fraction versus decimals
• For every decimal there is a fraction with the
  same name!

Example 0.03 Write a fraction that reads 3
hundredths.
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Essential Learning ReviewDecimals
Example Change your denominator to a power
of 10 (multiply 5 x 2 10). Then multiply your
numerator by the same number. Equivalent
decimal is 0.4

• Fraction versus decimals
• Its very important that the denominator of your
  fraction is 10, 100, 1000 (or any power of 10)
  because these match your decimal place values.

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Essential Learning ReviewDecimals
Decimal rules Watch how its done Practice
with decimal football

• 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.

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Essential Learning ReviewGeometry

• 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

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Essential Learning ReviewGeometry

• Types of Angles
• Acute
• Obtuse
• Right
• Straight
• Click here for descriptions

Types of Triangles Click here to learn about the
6 types of triangles Take a practice quiz here
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Essential Learning ReviewGeometry

• Types of Quadrilaterals
• Click here for descriptions
• Click here to sort quadrilaterals

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Essential Learning ReviewGeometry

• 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)

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Essential Learning ReviewGeometry

• Area and Perimeter Examples
• Click here for examples

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Essential Learning ReviewGeometry

• Graphing in the first quadrant
• X-Axis
• Y-Axis

(5, 3) X-coordinate (tells you how many spaces
to move right) Y-coordinate (tells you how many
spaces to move up)
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Essential Learning ReviewGeometry

• Graphing in the first quadrant
• (8, 4)
• Start at zero
• Move 8 spaces right
• Move 4 spaces up
• Put a dot at the intersection

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Essential Learning ReviewGeometry

• Graphing in the first quadrant
• Practice worksheet

The four quadrants
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Essential Learning ReviewGeometry

• 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.
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Essential Learning ReviewPatterns and Algebra

• Variable
• Letter or symbol that takes the place of a number
• Examples of variables
• X, a, ?

• Expressions
• A mathematical phrase including at least one
  operation
• No equal sign
• Examples
• X5, 3y, 5b-7

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Essential Learning ReviewPatterns 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 x9
• x5 plug in 9 where the x is
• 95 14

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Essential Learning ReviewPatterns 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
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Essential Learning ReviewData 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

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Essential Learning ReviewData 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

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Essential Learning ReviewData Analysis,
Statistics and Probability

• Bar Graph
• All you need to know about making a bar graph

Line Graph So many line graph examples
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Essential Learning ReviewData 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

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Essential Learning ReviewData 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

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Essential Learning ReviewData Analysis,
Statistics and Probability

• Probability
• The chance of something happening is
  your numerator.
• The total chances possible is your
  denominator.
• even s
• total s

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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.