### Year 10 & 11

Kick Start the Autumn Term with EdPlace!

We know that beginning of the school year can be tough, so we’ve created our Kick Start Maths Package to give you and your child a head start on the autumn term. We’ll help you get familiar with where your child is at in Maths so that you can help them, more specifically, with what you can prepare for in the autumn term.

Our Kick Start Package includes:

• A brief overview of what pupils will learn in Maths in year 10 and 11 with the autumn term’s focus areas and main topics.*
• The EdPlace Maths Assessment that helps identify what level your child is at.
• Tailored package of Maths tutorial worksheets and videos for your child. Assign and measure your child’s progress during the autumn term.
• Home Extension Ideas - exclusive tips and ideas from our Maths teacher on how to bring Maths into everyday activities.
• Badges and Rewards - exclusive Kick Start badges awarded to your child for completion on each level.

*Please note that whilst there is an overall scheme with the National Curriculum requirements for the individual years, different schools will go different ways so our overview may not exactly correlate with what you experience.

During the first year of the GCSE course all of the content to succeed up to grade 5 should be covered. Building on everything studied up to year 9, a few of the highlights of the GCSE course are the introduction of surds, e.g.√3, increased use of Pi and factorising quadratics. The understanding of surds is hugely useful as children are expected to know and use the exact values of sin 60°, cos 45° and tan 30° amongst others by heart. In fact, all formulae required for the GCSE exam will need to be learned as no formulae will be provided in the exam. Pi comes in hugely handy when calculating arc lengths and areas of circle sectors. A further requirement is to find equations of a line given two coordinate points and to solve simultaneous equations algebraically, without using a diagram. In probability, children will be using tree diagrams to calculate the probability of dependent and independent events. Children also continue to work with data, calculating the quartiles, the inter quartile range and representing this data on cumulative frequency diagrams and box plots. They are expected to interpret these diagrams and spot trends in the data.

Aiming at the top grades in the second half of the GCSE course, the exam may contain everything covered in Y10 in addition to the following. Children need to understand the upper and lower bounds, and therefore the accuracy of any answer. Having converted decimals to fractions for years, they finally deal with converting recurring decimals. They also become familiar with the quadratic formula and need to use this to solve equations and find the turning points on a graph. Continuing the quadratic theme, they may be asked to solve inequalities involving a quadratic equation. Children take their understanding of surds further and simplify them, always ensuring no surds remain as the denominator. Vectors have had a small part to play up until now but they are now used to prove lines are parallel or similar. There is also an increased emphasis on choosing the correct method of displaying data, including using histograms with their unequal class intervals and cumulative frequency graphs. Finally, they move on to conditional probabilities and represent them in many ways, including two way tables and Venn diagrams.

## Find out your child’s Maths level with The EdPlace Online Assessment

Our Maths teacher has created 3 levels, depending on the scores:

• 1. Bronze Mathematician (0-12 points)
• 2. Silver Mathematician (13-42 points)
• 3. Gold Mathematician (43-78 points)

You'll learn from the assessment which level your child is at. Follow our easy step-by-step guide:

• 1. Click on the + sign to open the Maths Assessment
• 2. Now your child can work through the questions carefully (in this test, they’ll find 30 main questions and some sub-questions).
• 3. On the last screen you’ll see your child’s score. Use this score to understand where your child is currently performing.
• 4. Scroll down to Assign & Track Progress section. Based on your child’s score, you’ll find the list of recommended tutorial worksheets.
• 5. Assign the worksheets, track their progress in your account and see their results during the autumn term.

## Home Extensions

Bring Maths into everyday activities with this fun home extension Maths activity.

There is a horrible computer virus that has infected 1/6 of the world’s computers…

You can no longer connect to the internet until your computer has been checked. Let’s imagine that a new test has come out that detects the virus quite accurately but can also falsely show that clean computers have been infected.

Let’s make a few assumptions:

• 1/6 of the computers are infected.
• 11/12 of the infected computers give a positive result to this new test.
• ⅛ of the uninfected computers give a positive result to this new test.

Conduct an experiment using these probabilities. You could use cards, dice, coins or a random number generator to simulate these probabilities to decide two things.

• 1. Are they infected or uninfected computers?
• 2. Do they give a positive or negative test?

Do this experiment 50 times and fill in this two way table with tallies

 Uninfected Infected Positive Negative
• Are you surprised by the results?
• If so, do you need to experiment some more?
• According to your experiment, what are the probabilities for the four different outcomes?
• If a computer tests positive for infection, do you think it’s infected?

Now draw a tree diagram using the original probabilities. This is called theoretical probability

• Does it give the same results as your experiment? Should it? If not, why not?
• How does reducing the percentage of infected computers affect the results?
• Would you try to connect to the internet before being checked?