Category Archives

Posts in Maths category.
GCSE (9-1) Maths Revision

Tips for Revising Maths

1. Before you start revising, get all your notes sorted, and draw up a list of all the topics you need to cover. This serves two purposes: you will definitely cover everything you need to cover, and a bit of tidying and sorting out is a nice relaxing way to ease yourself into the revision process.

2. Plan exactly when you are going to revise, and be strict with yourself. Don’t just wake up one Saturday and say that you are going to be revising all day, because you probably won’t get a lot done. Say that you will work from 10 until 11, then take a half hour break, then work until 12.30, then have some nice lunch, then do another hour, then go for a walk, and so on. If you are only revising in small chunks, and if you know the next break is just around the corner, your revision it likely to be much more focused and effective.

3. Give yourself little treats and things to look forward to. If you do a good day of revision, take the night off, watch some telly, go and see your friends, put all thoughts of maths and school to the back of your mind. Buy yourself some chocolate, but only let yourself eat it once you have achieved what you need to do.

4. Don’t just read through the textbook! The only way to revise maths is to do maths. You will do much better spending 20 minutes doing maths questions than spending two hours just reading a textbook. The more questions you do yourself, the more you will get right, the higher your confidence will be, the more you will enjoy your revision, and the better you will do in the exam.

5. Use the internet. The internet is like having your own personal teacher who is available for you whenever you like.
  – There are websites that can set you questions and mark them for you, take you through step-by-step how to tackle certain topics, and use fancy illustrations and animations that might just make that really annoying topic finally make sense.
  – There are maths games which you can play to practise crucial skills in a more fun way.
All this stuff is out there for you, so use it!

6. Don’t just practice the topics you can do. If you are really good at fractions, for example, it is very tempting to keep doing lots of fractions questions and then smiling as you keep getting them right. But unfortunately the exam is probably not going to have more than one or two fractions questions. Although it can be painful, work your way through the topics that you struggle with, because it is much better to struggle on them at home, when you have time on your side and the answers available, than it is to struggle in the exam.

7. Make sure you ask for help. Again, once you are in the exam you are on your own, but during revision you are certainly not. If you are stuck on a topic or a question, then ask one of the people from your class, or your teacher, or someone at home, or look on the internet, or use something like the Ask Nrich Forum (click here), where you can ask maths questions and get really good answers very quickly. Don’t suffer alone!

8. Practice doing questions under exam conditions. Get someone to pick you a set of questions from your textbook, or get some from a maths website, and try doing them in silence, with no help, for a fixed amount of time. This will get you used to what it will be like in the exam, how fast you need to go, and is the best way of checking that you really understand a topic.

9. Practice using your calculator! Many people seem to assume that any question that lets you use a calculator is easy, and all calculators work the same. Those people are wrong on both counts. All calculators work differently, and unless you have used yours for lots of different types of questions (trig, Pythagoras, negative numbers, indices), you might come unstuck in the exam. Find out if there are any problems early enough to correct them!

10. If it works for you, try revising with a friend for a bit of the time. You will find that one of you understands one topic more, whilst the other is a bit of an expert on another. Just by explaining things to a friend, you will find that your understanding increases, and likewise you might learn a different way of thinking about and understanding a topic.

11. Most important of all, try not to worry. A little worry is not a bad thing as it keeps you focused, but revision certainly shouldn’t be a stressful time. It should be a time where your brain gets chance to sort all the information it has been bombarded with and make sense of everything. If you follow the tips above, especially about getting yourself a revision schedule and always asking for help, you should find that revising for maths (or any other exam) is not that painful after all.  

from Mr Barton Maths

Below you will find video explanations of all the topics we have studied so far. Scroll down to the topic you need help with then click on the video you would like to watch. Use the arrows on the slider to access other videos on the topic if they are available.

Autumn 2020

BIDMAS

Factors, Multiples and Primes

Highest Common Factors and Lowest Common Multiples

Laws of Indicies

Surds

Patterns and Sequences

Coordinates

Algebraic Conventions and Linear Equations

Simultaneous Equations

Inequalities

Stay Home and Study Maths

Stay Home and Study Maths

Maths isn’t just for exams. Maths is for life no matter what we do. Maths has a huge effect on all our lives. Just think of the things that wouldn’t be possible without Maths. Creating spending budgets, paying for groceries, buying things on sale, and cooking meals all must deal with Maths in some way or another. One must be able to measure out ingredients, count money, and determine limits when it comes to certain tasks like the examples above. People never realise how much Maths is around them until they take a step back and look.

The Mathematics department would love you to stay engaged over the coming months despite the cancellation of exams. Below are some suggestions of books, websites, films and videos you could watch to develop your understanding of the Maths.

Reading at Home

 

Here are some great books that you can read at home.  They should all be available on Amazon.  Amazon will let you read a few pages online so you can see if you like the book before you buy.  

The first two books are on you tube if you would like to read along with someone else.


The Greedy Triangle
by Marilyn Burns

Balancing Act by
By Ellen Stoll Walsh

Anno’s Magic Seeds
by Mitsumasa Anno

Alex’s Adventures in Numberland By Alex Bellos

The Joy of X by Steven Strogatz

Mathematics for the Nonmathematician by Morris Kline


Math Girls
by Hiroshi Yuki

Giant Pumpkin Suite
By Melanie Heuiser Hill

Genius: The Game
By Leopoldo Gout

Hidden Figures
By Margot Lee Shetterly

Movies that you could watch.

These movies will show you the beauty of maths in real life. You can find these on Amazon or Netflix


A Beautiful Mind
A Beautiful Mind is more than just an interesting tale about a paranoid mathematician, it shares several examples of how beautiful mathematics truly is and how it applies to our everyday world.

The Man Who Knew Infinity
simply a fantastic story about the rise of a famous mathematician and a beautiful mentorship that allowed him to overcome great odds to change the field of mathematics forever.

Queen of Katwe
This relatively unknown Disney movie about 10-year-old Phiona and her incredible rise to become a chess master.

Moneyball
You won’t find a movie that demonstrates the tremendous role that mathematics plays in professional sports better than Moneyball.

Stand and Deliver
An incredibly inspiring true story about gang members and no-hopers working to pass their maths test.

The Martian
Probably the best STEM movie ever. There are countless scenes where Matt Damon has to use mathematics and mathematical reasoning to overcome challenges and advance his quest for survival.

October Sky
awesome STEM-themed movie that shows mathematics applied to the real-world.

Back to the Future
Comically explores maths in the context of time travel

Hidden Figures
Incredible and inspiring movie that demonstrates the power of mathematics and the fact that the subject is open to individuals of all genders and backgrounds.

Donald in Mathmagic Land
This timeless gem was made to show kids that mathematics is more than just a set of procedures and rules.
(you can watch the full movie for free on YouTube 😊).

Here are some sites that you can explore while at home.

My Maths

You will all have had your MyMaths logins sent home to you.  There are some great games on this site to test your skills.

BBC Bitesize Daily Lessons

Some great lessons for those who are missing school and want to engage their brains.

My Barton Maths

One of the best sites on the net for learning maths.

BBC Bitesize Maths

This link takes you directly to the maths section on Bitesize.

Education Quizzes

Feel like a challenge?  Test your knowledge by taking one of the quizzes on this site.

Curious about how to do something in maths?  

Sometimes we can get a problem that just niggles us and we want to find the solution straight away.   If this is happening to you then you can use the QR codes below on your phone or web cam to learn the method to find the solution to the problem.

Shape and Space

I want to know how to…

 

Volume

Calculate the volume of a cuboid

Bearings

Draw a bearing diagram using angles 0 – 360°

Compound area

Find the area of a shape made up of triangles and rectangles (and circles)

http://youtu.be/by9-_95Zn08

Area

Calculate the area of a trapezium and give units

Circles

Find the perimeter(circumference) or area of a circle or semicircle

Angle facts

Identify corresponding, alternate and opposite angles.

Use angle sum of triangle straight line etc

Number

I want to know how to…

 

Simple percentages

Work out 17.5% or 44% using non calc method

Percentage increase/decrease

Increase an amount by a given percentage

Calculate the percentage an amount has been increased by

Finding 100%

Find the original price when given a sale price and % reduction.

Expressing as a percentage

Express one quantity as a percentage of another

Estimation

Estimate a calculation by rounding to 1sf

Distance/ Speed/ Time

Use the triangle to find Distance, Speed or Time.

Algebra

I want to know how to…

 

Algebra

Simplify by collecting terms

Equations

Use known facts to form and solve an equation

Equations

Solve simple equations

Trial and Improvement

Use a table to find the solution of an equation

Unitary method

Find the value of 1 share and solve the problem

Unitary method

-currency

Use the given unit values to compare two currencies

Ratio (unitary)

Find the value of 1 share and solve the problem

Standard form

Write ordinary numbers in standard form and vice versa

Handling data and probability

I want to know how to…

 

Probability

Know that probabilities add to 1 (100%) and used this fact to work out missing probabilities

Probability

Complete probabilities on a tree diagram

Frequency table (and mean)

Calculate the total number of items represented and find the mean

Grouped data tables

Add cumulative frequency column

Draw cumulative frequency graphs

 

Construct box plots

Grouped data tables

Estimate the mean

Grouped data tables

Identify the median and modal classes.

Scatter graphs

Plot points on a graph

Draw a line of best fit

Describe the relationship/correlation

Use the graph to make predictions

Two-way tables

Complete and use a two-way table

Representing data

Construct a stem and leaf diagram

Questionnaires/data collection sheets

Criticise a given question

Design a suitable question

Design a suitable data collection sheet

Graphs

Complete a table and plot a graph for a straight line.

Read the graph accurately.

http://youtu.be/pwh56K10eNg

Mathematics at Home

Welcome to Mr Narewal’s Math’s. Even though most of us may be tied to our houses during this difficult time, we can still work on improving our skills and work towards our GCSEs.

Grade 1/2 Factors Multiple and Primes
Number Grid (1 to 100)
Grade 3/4 Prime Factor Trees, Highest Common Factors and Lowest Common Multiples
HCF LCM Worded Questions

Mathematics

Math’s is everywhere in our lives

Math’s isn’t just for exams. Maths is for life no matter what we do. Math’s has a huge effect on all our lives. Just think of the things that wouldn’t be possible without Math’s. Creating spending budgets, paying for groceries, buying things on sale, and cooking meals all must deal with Math’s in some way or another. One must be able to measure out ingredients, count money, and determine limits when it comes to certain tasks like the examples above. People never realise how much Math’s is around them until they take a step back and look.

The Beauty of Mathematics

Students at Reach study Edexcel GCSE Mathematics (9-1) 1MA1.

The Examination is two tiered: Foundation and Higher.

It is made up of three written papers. Paper 1 is a non-calculator while Paper 2 and 3 are both calculators. Each paper is marked out of 80 and the total is combined for the final score. Students can score grade 1-5 on the Foundation and 4-9 on the Higher. Student are taught four lessons of Maths a week. On joining, we assess students’ numeracy skills through baseline testing and tracking.

Exams Techniques: Scan the paper quickly and identify the questions you feel very confident about. Start with these questions. Keep in mind the allocated marks indicate the steps needs to answer the questions. So 3 marks means three things you need to do. Also watch the time, every mark is equivalent to 1 minute.

Each paper is allocated 80 marks. Ensure you attempt all questions and show your working. Check if answers make sense.

Revision: You can use MyMaths, Satchel or your revision booklet to revise. Most importantly you must allocate time to do the revision and stick to it. You can also attend the Afterschool Maths Session.

The following websites are great for revision:

Mathsgenei a good source of past exam questions and revision videos organised by topic or grade.

Past papers: There is not a lot of past papers as this is a new specifications. Try these sites for available papers. 

What we will study in year 10 and 11

Math-LTP-with-MTP-Breakdown-2021

Reading at Home

Here are some great books that you can read at home.  They should all be available on Amazon.  Amazon will let you read a few pages online so you can see if you like the book before you buy.  

The first two books are on you tube if you would like to read along with someone else.


The Greedy Triangle
by Marilyn Burns

Balancing Act by
By Ellen Stoll Walsh

Anno’s Magic Seeds
by Mitsumasa Anno

Alex’s Adventures in Numberland By Alex Bellos

The Joy of X by Steven Strogatz

Mathematics for the Nonmathematician by Morris Kline


Math Girls
by Hiroshi Yuki

Giant Pumpkin Suite
By Melanie Heuiser Hill

Genius: The Game
By Leopoldo Gout

Hidden Figures
By Margot Lee Shetterly

Movies that you could watch.

These movies will show you the beauty of maths in real life. You can find these on Amazon or Netflix


A Beautiful Mind
A Beautiful Mind is more than just an interesting tale about a paranoid mathematician, it shares several examples of how beautiful mathematics truly is and how it applies to our everyday world.

The Man Who Knew Infinity
simply a fantastic story about the rise of a famous mathematician and a beautiful mentorship that allowed him to overcome great odds to change the field of mathematics forever.

Queen of Katwe
This relatively unknown Disney movie about 10-year-old Phiona and her incredible rise to become a chess master.

Moneyball
You won’t find a movie that demonstrates the tremendous role that mathematics plays in professional sports better than Moneyball.

Stand and Deliver
An incredibly inspiring true story about gang members and no-hopers working to pass their maths test.

The Martian
Probably the best STEM movie ever. There are countless scenes where Matt Damon has to use mathematics and mathematical reasoning to overcome challenges and advance his quest for survival.

October Sky
awesome STEM-themed movie that shows mathematics applied to the real-world.

Back to the Future
Comically explores maths in the context of time travel

Hidden Figures
Incredible and inspiring movie that demonstrates the power of mathematics and the fact that the subject is open to individuals of all genders and backgrounds.

Donald in Mathmagic Land
This timeless gem was made to show kids that mathematics is more than just a set of procedures and rules.
(you can watch the full movie for free on YouTube 😊).

Here are some sites that you can explore while at home.

My Maths

You will all have had your MyMaths logins sent home to you.  There are some great games on this site to test your skills.

BBC Bitesize Daily Lessons

Some great lessons for those who are missing school and want to engage their brains.

My Barton Maths

One of the best sites on the net for learning maths.

BBC Bitesize Maths

This link takes you directly to the maths section on Bitesize.

Education Quizzes

Feel like a challenge?  Test your knowledge by taking one of the quizzes on this site.

Curious about how to do something in maths?  

Sometimes we can get a problem that just niggles us and we want to find the solution straight away.   If this is happening to you then you can click on one of the videos below to learn the method to solve the problem.

Shape and Space

I want to know how to…

 

Volume

Calculate the volume of a cuboid

Bearings

Draw a bearing diagram using angles 0 – 360°

Compound area

Find the area of a shape made up of triangles and rectangles (and circles)

https://youtu.be/by9-_95Zn08

Area

Calculate the area of a trapezium and give units

Circles

Find the perimeter(circumference) or area of a circle or semicircle

Angle facts

Identify corresponding, alternate and opposite angles.

Use angle sum of triangle straight line etc

Number

I want to know how to…

 

Simple percentages

Work out 17.5% or 44% using non calc method

Percentage increase/decrease

Increase an amount by a given percentage

Calculate the percentage an amount has been increased by

Finding 100%

Find the original price when given a sale price and % reduction.

Expressing as a percentage

Express one quantity as a percentage of another

Estimation

Estimate a calculation by rounding to 1sf

Distance/ Speed/ Time

Use the triangle to find Distance, Speed or Time.

Algebra

I want to know how to…

 

Algebra

Simplify by collecting terms

Equations

Use known facts to form and solve an equation

Equations

Solve simple equations

Trial and Improvement

Use a table to find the solution of an equation

Unitary method

Find the value of 1 share and solve the problem

Unitary method

-currency

Use the given unit values to compare two currencies

Ratio (unitary)

Find the value of 1 share and solve the problem

Standard form

Write ordinary numbers in standard form and vice versa

Handling data and probability

I want to know how to…

 

Probability

Know that probabilities add to 1 (100%) and used this fact to work out missing probabilities

Probability

Complete probabilities on a tree diagram

Frequency table (and mean)

Calculate the total number of items represented and find the mean

Grouped data tables

Add cumulative frequency column

Draw cumulative frequency graphs

 

Construct box plots

Grouped data tables

Estimate the mean

Grouped data tables

Identify the median and modal classes.

Scatter graphs

Plot points on a graph

Draw a line of best fit

Describe the relationship/correlation

Use the graph to make predictions

Two-way tables

Complete and use a two-way table

Representing data

Construct a stem and leaf diagram

Questionnaires/data collection sheets

Criticise a given question

Design a suitable question

Design a suitable data collection sheet

Graphs

Complete a table and plot a graph for a straight line.

Read the graph accurately.

https://youtu.be/pwh56K10eNg