essential learning review. topics are correlated to the 5th grade textbook. please use the pdf links...

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 ReviewGrade 6 Essential LearningThese 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 OperationsBasic fraction knowledge (Chapter 7 Lessons 1-12 p.394-423)

Numerator, denominatorSimplifyingImproper fraction to mixed number and vice versaEquivalent 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

10

1

Essential Learning ReviewGeometry and MeasurementBasic geometry facts (Chapter 6 Lessons 1-6 p.328-351)

Types of angles and trianglesDifferences 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)


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


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


Problem SolvingSolve two step word problems using various

strategiesMake 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)

Essential Learning ReviewPlace 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 ten-thousandths


• 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


• Link to practice games

http://www.gamequarium.com/placevalue2.html



Essential Learning ReviewFractions

Basic Fraction Knowledge

http://www.jamit.com.au/htmlFolder/FRAC1001.html#examples

http://www.jamit.com.au/htmlFolder/FRAC1001.html#examples


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


Links to Simplifying and Equivalent Fraction Games

http://www.jamit.com.au/htmlFolder/app1002.html

http://classroom.jc-schools.net/basic/math-fract.html

http://www.funbrain.com/fract/index.html


http://classroom.jc-schools.net/basic/math-fract.html

http://www.funbrain.com/fract/index.html


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:

5

31

5

8

3

5

185

5

8


Mixed Numbers to Improper Fractions

• Whole number x denominator + numerator– This becomes your new

numerator


Example:

5

8

5

31

83515

31

x




Adding and Subtracting Fractions

• Add or subtract the numerators


• Simplify your answer

Example:

video example

http://www.teachertube.com/viewVideo.php?title=Adding_and_Subtracting_Fractions_with_Like_Denominators&video_id=9995


Adding and Subtracting Mixed Numbers

• Add or subtract the numerators

• Add or subtract the whole


• Simplify your answer

Example:

watch an example

http://www.youtube.com/watch?v=U5IbUpQTA8I

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

10

1



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

Example:

0.03

Write a fraction that reads

3 hundredths.

100

3

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



• 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.

5

2

10

4

25

22

x

x

Decimal rules

Watch how it’s 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.

http://www.numberpower.org/Decimals/HTML/DAddAndSubtract.html

http://www.youtube.com/watch?v=rO9Df3vEkN8

http://www.funbrain.com/football/index.html

http://www.funbrain.com/football/index.html

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

http://www.mathleague.com/help/geometry/basicterms.htm


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

http://www.mathleague.com/help/geometry/angles.htm

http://www.mathleague.com/help/geometry/angles.htm

http://www.mathwarehouse.com/geometry/triangles/triangle-types.php

http://www.mathwarehouse.com/geometry/triangles/triangle-types.php

http://www.softschools.com/testing/math/theme1.html

http://www.softschools.com/testing/math/theme1.html


Types of Quadrilaterals

Click here for descriptions

Click here to sort quadrilaterals

http://www.upland.k12.ca.us/schools/elementary/pepper_tree/quadrilaterals(8.5).htm

http://teams.lacoe.edu/documentation/classrooms/amy/geometry/6-8/activities/quad_quest/quad_quest.html


Volume, Area and PerimeterNJASK reference sheetArea – 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)

http://www.state.nj.us/education/assessment/ms/5-7/gr6_NJASK06_math_ref.pdf


Area and Perimeter Examples

Click here for examples

http://www.mathgoodies.com/lessons/toc_vol1.html


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)



(8, 4)

Start at zero

Move 8 spaces right

Move 4 spaces up

Put a dot at the intersection



Practice worksheet

The four quadrants

http://www.etacuisenaire.com/pdf/algebraworks/student_gr6.pdf


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 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:

X+5, 3y, 5b-7


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=9x+5 plug in 9 where the x is

9+5 = 14


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 ReviewData Analysis, Statistics and

ProbabilityMean, 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


ProbabilityMean, 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


ProbabilityBar Graph

All you need to know about making a bar graph

Line Graph

So many line graph examples


ProbabilityBar 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


ProbabilityProbability

What is the probability of spinning an even number? P(even)

There are 8 numbers and 4 are even so the probability is

2

1

8

4


ProbabilityProbability

The chance of something happening is your

numerator.

The total chances possible is your denominator.

even #’s

total #’s2

1

8

4

Essential Learning ReviewProblem SolvingSolve two step word problems using various strategiesMake 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.

essential learning review. topics are correlated to the 5th grade textbook. please use the pdf links...

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