About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Master Geometric Transformations: Translate, Reflect, Rotate

Math 6: Master Essential Skills for Success

Adding and Subtracting Integers

Introduction to integer addition

Adding 1-digit integers

Opposite Integers — Up to 10

Adding integers

Adding 2-digit integers

Introduction to integer subtraction

Integer Subtraction — Missing Value

Subtracting 1-digit integers

Subtracting integers

Subtracting 2-digit integers

Application of integer operations

Application of Integer Operations – Word Problem

Application of Integer Operations  – Word Problem

Understanding Numbers

Place values

Place value

Comparing and ordering numbers

Comparing Integers

Comparing Numbers

Comparing Fractions

Rounding numbers

Rounding Decimals

Rounding Integers — Up to 9999

Number Theory

auto-gen

Prime numbers and composite numbers

Number properties: Prime or Composite

Number properties: Prime?

Prime factorization

Prime factors – Word Problem

Greatest Common Factors (GCF)

Greatest Common Factor 2 Numbers

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers – Word Problem

Least Common Multiple (LCM)

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Divisibility rules

Divisibility

Determining common factors

Common Factors — Word problem: bouquet

Common Factors — Word problem: party

Common Factors

Factors

Determining common multiples

Common Multiples — Word problem: meals

Common Multiples — Word problem: watches

Multiples

Introduction to exponents

Expanded powers

Exponents — Express as a power of 10

Exponents — Word problem: express as a power

Exponents — Express as a power of two — Whole number

Multiplying and Dividing Integers

Understand integer multiplication

Multiplying 1-digit Integers

Multiplying 1-digit integers Mixed Sign

Multiplying integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Understanding integer division

Dividing by 1-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing integers

Dividing by 2-Digit Integers

Dividing by 2-Digit Integers Mixed Sign

Applications of integer operations

Multiple Integer Operations

Three Step Integer Operations Combined Multiply Divid

Three Step Integer Operations Divide Add Or Minus Multiply

Three Step Integer Operations Divide Add Or Minus

Three Step Integer Operations Multiply Add Minus Divide

Three Step Integer Operations Multiply Add Or Minus

Introduction to Ratios, Rates and Percentages

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

Representing percents

Converting among decimals, fractions, and percents

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Applications of percents

Percent Discounts

Operations with Decimals

Adding and subtracting decimal numbers

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimal numbers

Multiplying Decimals

Dividing decimal numbers

Dividing Decimals

Order of operations (PEMDAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Adding and Subtracting Fractions

Using models to add and subtract fractions

Add Fractions With Models

Subtract Fractions With Models

Adding fractions with like denominators

Adding Fractions — with like denominators — 3-digit without simplifying

Adding Fractions — with like denominators — 3-digit

Adding Fractions — Word problem: baking

Add fractions with like denominator

Adding Fractions — with like denominators — 1-digit

Adding Fractions — with like denominators — 2-digit

Adding Fractions — Word problem: beads

Subtracting fractions with like denominators

Subtract fractions with like denominator

Subtracting Fractions — with like denominators — 2-digit

Subtracting Fractions — with like denominators — Larger 2-digit

Subtracting Fractions — with like denominators — 3 digit

Subtracting fractions — Word problem: competition

Subtracting fractions — Word problem: snack

Adding and subtracting fractions with unlike denominators

Adding and Subtracting Fractions — Find the lowest common denominator (LCD)

Adding and Subtracting Fractions — Find the LCD and evaluate

Add fractions with unlike denominator

Subtract fractions with unlike denominator

Adding and Subtracting Fractions — Word problem: cargo ship

Adding Fractions — with unlike denominators

Subtracting Fractions — with unlike denominators

Adding and subtracting mixed numbers

Adding Mixed Numbers — Word Problem

Subtracting Mixed Numbers — Word Problem

Add mixed fractions with like denominator

Add mixed fractions with unlike denominator

Multiplying and Dividing Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Boost your math marks with our complete 6th grade math help. Whether it&apos;s <a href="http://www.corestandards.org/Math/Content/6/introduction/">6th grade Common Core Math</a>, <a href="https://www.engageny.org/resource/grade-6-mathematics">Engage New York 6th grade math</a>, 6th grade math <a href="http://ritter.tea.state.tx.us/rules/tac/chapter111/index.html">TEKS</a> (STAAR), or 6th grade math <a href="http://www.ncpublicschools.org/accountability/testing/eog/sampleitems/newcurmath6">EOG</a>, we've got you covered!

Just like your class or textbook, our comprehensive help includes topics such as Ratios, PEMDAS, Multiplication, Division, Solving equations, Surface area, Volume, Statistics, Common factors, and more. StudyPug gives you not just lessons, but tutorials that teach you how to tackle even the hardest 6th grade math problems with step-by-step solutions &ndash; in videos. Then, strengthen your understanding with tons of 6th grade math practice. 

All our lessons are taught by experienced <a href="https://www.studypug.com/math-6-tutor">Math 6 tutors</a>. Let&apos;s finish your homework in no time, and ACE that final.

6th Grade Math

math

<h2>What Do You Learn in <a href="https://www.studypug.com/math-6">6th Grade Math</a>?</h2>
In sixth grade math, you&apos;ll explore the areas of math relating to unit rates, decimals, ratios, factors, percents, fractions and more. You&apos;ll also develop your ability to solve algebraic problems and learn how to use PEMDAS to help you.
It&apos;s in grade 6 that you&apos;ll start to investigate the following areas of <a href="https://www.studypug.com/geometry">geometry</a>, topics like surface area and the volume of 3D shapes, tessellation, and measuring systems. You&apos;ll also explore the fundamental principles of <a href="https://www.studypug.com/algebra-1">algebra</a> and <a href="https://www.studypug.com/trigonometry">trigonometry</a>, which when combined will provide you with the knowledge needed to pursue courses in <a href="https://www.studypug.com/basic-algebra">basic algebra</a>, trigonometry, and eventually <a href="https://www.studypug.com/pre-calculus">pre-calculus</a>.
It&apos;s a program of study that is designed to build upon what you have learnt in <a href="https://www.studypug.com/math-5">math 5</a> and will prepare you for the more advanced stages of math in grades 7 - 12. For each lesson you attend in 6th grade math, StudyPug will be there. We&apos;re a fantastic companion for help with revision and homework assignments. We&apos;re available 24/7 and offer high quality video tutorials that break down the content you&apos;ve covered in class in a way that&apos;s easier to understand. Additionally, each video we offer, delivers step-by-step examples that can make things even clearer. They can also be paused, rewound, and fast-forwarded, ensuring that you never get left behind and can learn at your own pace.
As a subscriber to our service, you&apos;ll have access to 1000s of online videos that cover all topics you&apos;d expect to find in <a href="https://www.studypug.com/math-6">math 6</a> and beyond, making StudyPug an <a href="https://www.studypug.com/math-tutor/">online math tutor</a> for a lifetime.

<h2>How to Get Good Marks in 6th Grade Math Exams</h2>
In order to get good grades within your math exam, you will need to be able to effectively demonstrate that you have the ability to make sense of a variety of math problems and can find an effective way to solve them. The examiners will need to see that you have the ability to write, interpret, and use expressions and equations, and can use these mathematical tools appropriately to arrive at the correct conclusions.
In essence, they want to see how your brain works. It&apos;s not enough to simply answer the question through memorization. Show your working out and how you arrived at the answers to stand a better chance of receiving top marks.
If you would like additional 6th grade <a href="https://www.studypug.com/math-help/">math homework help</a> outside of the classroom and want to improve your chances of higher marks in your upcoming math exams, you should be revising and doing so regularly. It cannot be stressed enough that the best way to learn math is through repetition. The more you practice solving math problems, the more likely you are to retain that information.
You should review what you&apos;ve been taught in the classroom and use that to build effective study sessions that address your weaker areas. If you&apos;re not sure where your strengths and weakness lie, use our easy practice materials to help you spot topics and questions that you may have difficulty with.Reviewing your class notes each night will go a long way in helping you improve your understanding of math. 
We understand that doing this and getting yourself into a good study habit is easier said than done, which is why we offer our content in short and informative video lessons that can be watched at home or on the go. Our content works with your schedule so whenever you have a spare hour or two, StudyPug is available to help you review any and all topics within the 6th grade math syllabus.
Furthermore, we&apos;d greatly encourage you to use our platform to help you sit practice papers and mock exams. Doing so will help to build your confidence ahead of your actual tests and will further assist you in narrowing down your strengths and weaknesses. When sitting mock exams, you should work within the time constraints of each paper and have someone else mark your tests for you. Reviewing your performance and seeing improvements, will show you that revision actually works and will encourage you to stick with it!
Put simply, a well planned revision strategy that addresses your weaknesses and a handy revision aide like StudyPug can greatly improve your chances of getting better marks in your exams.
Outside of exam prep, we can also help you perform better in class. If there&apos;s something in your lesson that you couldn&apos;t make sense of, jump online and browse our content. We&apos;ll have video tutorials on the subject that can help clear up any confusion you have. Our 6th grade math videos manage to deliver the same content you&apos;d expect to find in modern textbooks and will address questions most likely to appear on your 6th grade math tests.
Think of StudyPug as your very own <a href="https://www.studypug.com/math-6-tutor">online math 6 tutor</a>, available whenever you need us, and at the fraction of the cost of a personal tutor.

<h2>Is <a href="https://www.studypug.com/math-6">6th Grade Math</a> Hard?</h2>
If you&apos;re concerned about studying 6th grade math, you&apos;re not alone. There are thousands of students just like you who want help understanding the more complex terminologies and subject matters that will be introduced throughout the school year. Though it does seem like a daunting challenge, the subjects within 6th grade math, aren&apos;t too hard to get your head around once you have a firm understanding of the basics. Remember, you&apos;re not expected to know everything on your first day. Learning math takes time and a good foundation of math knowledge will greatly improve your chances of getting into college/university and finding a job later in life.
If you want help understanding 6th grade math or would like additional 6th grade math tutoring ahead of your upcoming quizzes and exams, our online content will walk you through even the toughest of 6th grade math problems. We currently offer step-by-step lessons within the following popular topics:
<ul type="disc">
<li>Understanding Numbers and Number Theory</li>
<li>Adding, Subtracting, Multiplying, and Dividing Integers</li>
<li>Ratios, Rates and Percentages</li>
<li>Tessellation</li>
<li>And much more!</li>
</ul>
The content we deliver across each topic of 6th grade math has been designed by experienced teachers who have a deep understanding of the subject matter. We have also worked to ensure that each lesson mirrors what you&apos;re being taught in school so that they address the concerns and content that matters most to you.
At StudyPug, we understand and appreciate that every learner learns differently. To that end, we have decided to take a "6th grade math for dummies" approach that starts with the basics, assumes no prior knowledge, and covers all areas of 6 grade math. Each area of our content has been designed to seamlessly flow from one topic to the next, allowing you to build off what you&apos;ve just learned, introducing more complex elements when you&apos;re ready.
As a subscriber to our online tutorial service, you&apos;ll have direct access to all of our videos across every grade available, allowing you to use our services for many years to come. With 1000s of lessons and 24/7 help, we&apos;re you&apos;re one stop shop for all your math needs.
If you&apos;d like to try our services before you buy, browse our collection of free 6th grade math lessons that cover a variety of topics. Try them today and read our customer reviews to see how we&apos;re helping students just like you improve their performance in 6th grade math.

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-math6.png

Introduction to Geometric Transformations

What You'll Learn

Identify reflections, translations, and rotations as types of transformations

Draw reflection images using perpendicular lines and mirror distances

Apply translations by shifting points horizontally and vertically on coordinate planes

Perform rotations by measuring angles and distances from the center of rotation

Verify transformations by checking coordinate changes and visual accuracy

What You'll Practice

Reflecting shapes across horizontal and vertical lines of reflection

Translating points and figures left, right, up, and down

Rotating figures 90 and 180 degrees clockwise and counterclockwise

Finding new coordinates after transformations on the Cartesian plane

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

3 Video lessons

Learning resources

Skills

Transformations

Reflections

Translations

Rotations

Coordinate Plane

Cartesian Plane

Spatial Reasoning