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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 and 0.1

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.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 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

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/placevalue2.html

Essential Learning Review

- Fractions

Basic Fraction Knowledge http//www.jamit.com.au/

htmlFolder/FRAC1001.htmlexamples

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

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

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

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

Essential Learning ReviewFractions

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

Example

- video example

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

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

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.

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.

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.

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

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

Essential Learning ReviewGeometry

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

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)

Essential Learning ReviewGeometry

- Area and Perimeter Examples
- Click here for examples

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)

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

Essential Learning ReviewGeometry

- Graphing in the first quadrant
- Practice worksheet

The four quadrants

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.

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

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

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

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

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

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

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

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

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

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.