Solving Equations

At times in Maths (and life) you'll come across equations where you don't know some of the numbers involved for example in:

                                        2(4x - 2)  = 18

How to find x?  While some of you might be able to 'work it out in your head' that won't always work (trust me it gets harder!).  We need a process to help us untangle all the numbers from the x and leave us with a balanced equation of x =.......

Online Help:

Khan Academy Series: Start here and progress through the videos and activities as you need 

A different set of explanations: A webpage with examples

Solving Simple Equations: The Steps as a powerpoint 

IXL Solving Equations Practice: A few straight forward questions with answers


Pearson Text-Book Pages

Page 399 - 401 (Answers Page 665)
Page 407  (Answers Page 665) 

Fractions

By the end of the fractions unit you will be able to:

1. Compare fractions using equivalence. 

2. Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

3. Locate and represent positive and negative fractions and mixed numbers on a number line

4. Connect fractions and decimals

FRACTIONS ACTIVITIES ARE UNDER THE 'HOMEWORK TAB'

Quick Links:

Equivalent Fractions Review (review page)

Using Lowest Common Denominator to work out if fractions are equal (video)

Lowest Common Denominator (practice)

------------

Equivalent Fractions Quiz

Decimals

Instructional Webpages
Maths is Fun: Decimals
Zoomable numbers line: Get your head around decimals

Instructional Videos
Decimals- an introduction
Comparing decimals
Ordering decimals from smallest to largest

Practice Questions
Place value of decimals
Comparing decimals
Ordering decimals

Rounding Decimals
Maths is Fun: Rounding Numbers
Rounding Decimals (video)
Rounding Decimals (practice)

Do the Quiz
CLICK HERE FOR THE > END OF LESSON QUIZ: 

Understanding what happens when you divide & multiply part-numbers (fractions & decimals)
What happens when you divide by a fraction?
What happens when you multiply by a fraction?

Angles & Geometry

Types of Angles

Angle Names Understanding
Acute, Right and Obtuse Explained  (understanding)
Angles Glossary 
Using a protractor to measure angles (interactive)
Understanding angles (interactive webpage)
Understanding angles (review webpage)


Practice:
Measuring angles (you'll need a protractor) 
Measuring angles (online protractor provided) 
Angle Types (practice 1)
Angle Types (practice 2)
Practice drawing angles (online interactive)


Angles on Parallel Lines 
Understanding
Maths is Fun Angles on Parallel Lines (website)
Khan Academy: Transversals and Parallel Lines (video)
Khan Academy: Finding missing angles on parallel lines (video)

Practice:
BBC Bitesize Parallel Lines (activity)
Khan Academy Parallel Lines practice 

Proof: 
Proving Lines are Parallel (video 1)
Proving Lines are Parallel (video 2)
Practice Proving lines are parallel (questions)

180 degrees in a Triangle
Explore 180 degrees in triangle
Practice 180 degrees in a triangle

Proof Solution Here (video)

Volume & Surface Area

Volume

Understanding 
Maths is Fun: Volume (website)
Khan: Volume of a Rectangular Prism (video)
Volume of a Rectangular Prism review (website)

Practicing 
Khan Academy Volume 
Understanding Volume Activity
Maths is Fun Practice 


Surface Area
Understanding 
BrainingCamp: Surface Area (interactive)
Maths is Fun: Surface Area (website)
Khan: Surface Area (short video)

Practicing 
Khan Academy Surface Area 
Surface Area Word Problems
IXL maths: Surface Area

Algebra!

SKILL #1: Writing Equations

Learn About It:

• Maths is Fun: Introduction to Algebra (website)
• Writing equations explanation (website) Lots of examples & a few practice problems 
• Khan Academy Writing equations (video) 
• Khan Academy Writing equations with brackets (video)

Writing Equations Practice

• Practice Khan Academy
• Practice worksheet (pdf)
• Harder Worksheet Sorry I can't get it as a straight pdf, you can download this yourself if you want though

Textbook Pages 

• Page 253 - 260 (Pronumerals & Variables)  Answers: pg 648

MATH WORDS

Addition: add altogether both combined how many increase join plus sum together total	Subtraction: deduct detract decrease by difference how many more? how many left? left over less than minus reduce remains remove subtract take away
Multiplication: as much by equal groups groups of lots of multiply multiplied by per product of times	Division: average divide each equal parts evenly every out of quotient ratio shared equally split
Equals: balanced equal equivalent even gives identical is matches same yields

Algebra Skill #2 Substitution 

Learn about it: 

• Maths is Fun: Substitution (website)
• A not very fun (but informative) video

Practice:

• Three Levels of Questions (pdf) 
• Multiple Choice Questions 

Textbook:

• Pages 270-273 (Formulas and Substitution) Answers: page 649

Algebra Skill #3 Combining Like Terms

Learn about it: 

• Finding Like Terms
• A Khan Series: taking you through like terms

Practice: 

• BBC Bitesize Questions
• Simplifying Questions
• Worksheet: Simplifying 

Assessment:

• Combining Like Terms Assessment (1 shot only)

Working with Negative Numbers

Adding & Subtracting Negative Numbers

(Click to Enlarge)

Explanation Videos:

Maths Antics (video) 8:26. A simple introduction to how it all works.

Vivid Videos: Math Help with Negative Numbers (video) 1:42 Simple instructions: how to add and subtract on a number line.

Add and Subtractive Negative Number by Khan Academy (video)


Explanation Websites:
Maths is Fun Website Explanation


Practice Questions:

Khan Academy Adding negative number 

Maths is Fun: Adding Negative Numbers

Common Core Negative Number Quiz

Negative Number Quiz (Click the negatives button).

IXL Maths Negative Number practice

Worksheet Questions (answers down page) pdf

GAME: Connect Three (needs Flash)

Multiplying & Dividing Negative Numbers

Explanation Videos:
Khan Academy: Multiply and Dividing Neg Numbers 
Do you really want to know why a negative times a negative gives a positive answer?
Maths is fun (webpage) 

Explanation Questions:
Khan Academy: Multiplying and dividing practice
Maths is Fun (questions)


Bring it all together: BIDMAS and Negative Numbers!
Khan Academy (questions)
Worksheet (answers second page)  < Write your attempts in your book

BIDMAS / Order of Operations

Order of Operations Explained:

Math is Fun: Bodmas

Khan: Order of Operations Intro

Khan: Order of Operations: Example


Practice:
Khan: Order of Operations Questions

Maths is Fun: Practice Questions


Online Games

Harder than it looks, get ready for AWESOME SOUND EFFECTS

Order of Operations Milllionare

What is this? Some sort of knight saving a princess game


Worksheets
Harder Questions (brackets within brackets)

Even harder (negative numbers, multiple brackets)

Worded Questions 

Factors, Multiples, Primes

Factors & Multiples 

Factors are numbers you multiply together to get other numbers. 

So for instance 2 and 5 and factors of 10, because 2 x 5 = 10 

The other factors of 10 are 1 and 10, because 1 x 10 = 10

There are no other factors of 10 because no other numbers divides evenly into it. 

Some numbers have a lot of factors. For example, how many factors of 100 can you find? 

Try the Online Factor Finder

Still need help on factors?  Make sure you keep practicing your times-tables!

 Maths is Fun: Factors and Multiples (explanation)

Khan Academy: Factors and Multiples (video)

Khan Academy Finding factor pairs (practice)

Khan Academy: Identifying factors and multiples (practice)

Skills Check: Are you Ready to Learn about Prime Factorisation?

• Can you mentally work out if any number is divisible by 2,3,4,5,6,9 or 10? 
• Can you easily identify if a number under 100 is prime?
• Can you name the next four multiples of any number under 100? 
• Can you find the Lowest Common Multiple of any pair of numbers?

Prime Numbers & Prime Factorisation

Math is Fun: Factor Trees (explanation)

Khan: Prime Factorization (video)

Maths is Fun: Prime Factorisation (practice)

Khan Academy: Prime Factorisation (practice)

Extension:

How to find how many factors any number has (instructions)

Making square numbers by adding primes (activity)

Prime Magic (activity) 

Peculiar Patterns in Primes (news article)

Hello!

Well done! You've found the 7 Green and 7 Red Maths blog!

Some people LOVE Maths and some people REALLY DISLIKE Maths.  Some people pick up Math ideas quickly and some people take more time.  BUT we can all improve at it and perhaps, even learn to enjoy the challenges and beauty of 'the purest' discipline.

 xkcd.com

What are we learning in Maths this term?

Week 2 Factors, Multiples, Primes, index notations, square roots

Week 3- 6 Negative numbers and BIDMAS

Week 7 Problem Solving Strategies

Week 8-10 Introduction to Algebra  

How am I being Assessed in Maths this year?

Formal tests (about 2 every term)

Assignments (about 1-2 every term)

Your Maths book (problem solving, setting out etc.)

Your verbal communication and participation in lessons (every lesson)