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# Year 11 maths

- What’s new in Yr 11 Maths?
- Main content of Yr 11 Maths?
- Common challenges for students in Yr 11 Maths?
- Main outcomes for Yr 11 Maths?
- Most important concepts to ensure your child understands in Yr 11 Maths?
- If you chose to get a tutor, study habits and content to focus on in Yr 11 Maths?
- Main challenges involved in tutoring a Yr 11 Maths student?
- Some good ideas on how to help your child in Yr 11 Maths?

### What’s new in Year 11 Maths?

Graph of a function. Algebraic representation of geometrical relationships. Trigonometric ratios of negative angles. Curve trigonometry including continuity and limit of a function as well as gradient of a curve as an introduction to calculus (differentiation). Differentiation from first principle, differentiation of linear and polynomial functions as well as the composite function rules. Quadratic polynomials, inequalities and the roots of quadratic equations. Parabola and the concept of locus.

### Main content of Year 11 Maths

The core content of **year 11 maths** starts with a review of previous years’ maths curriculums; basic arithmetic and algebra topics:

- Rational numbers,
- Quadratic surds,
- Inequalities,
- Linear equations,
- Algebraic fractions,
- Quadratic and simultaneous equations.

Plane geometry will involve the re-visitation of congruent triangles and an expansion on Pythagoras’ theorem including its converse.

Also in Year 11 maths, algebra and geometry topics will be intertwined when studying locus and constructing graphs of functions. Trigonometric ratios will be used to totally solve triangles.

Differentiation in calculus will be introduced with the idea of continuity and the limit of a function as they are related to curves as well as tangent and secants of curves. Methods of differentiation will then be taught including differentiating from the first principle and differentiation using rules. Apart from differentiating polynomials, quadratic polynomials will be studied on their own including graphs and roots of quadratic functions as well as quadratic inequalities.

### Common challenges for students in Year 11 Maths

Calculus is a perennial challenge for year 11 maths students. This year, grappling with one arm of it, differentiation, will present particular difficulties for students. Polynomials will also prove tricky especially when studied within differentiation and separately in quadratic expressions.

### Main outcomes for Year 11 Maths

At the end of this year, students should be able to compute and solve all kinds of basic algebra problems. They must, likewise, be adept at solving triangles and at using the Pythagoras’ theorem. Trigonometric ratios are key topics to grasp for this class too. Most importantly, a good understanding of the principles of differentiation is absolutely essential for higher calculus in the next year. Finally, students must, at the end of year 11 maths, be capable of solving quadratic polynomial equations as well as constructing graphs of quadratic functions and solving quadratic inequalities.

### Most important concepts to ensure your child understands in Year 11 Maths

More importantly than the rest, your child must understand and be able to use differentiation in year 11. Apart from that, trigonometric ratios and quadratic polynomials are core concepts to be fully understood.

### If hiring a tutor, what study habits and content to focus on in Year 11 Maths?

Should you get a tutor for your child, encourage a concentration in calculus, polynomials and trigonometric ratios. When differentiating functions, let the child start with differentiating from the first principle before moving onto the rules; this way, they can fully understand the underlying transformation of calculus rather than relying on rote and formulae.

### Main challenges involved in tutoring a Year 11 Maths student

Calculus, more often than not, looms large in the mind of a year 11 maths student. The fear of calculus in many ways slow some students from learning the topic. Since year 11 is close to the end of high school, preparation for final assessments may not allow a lot of time to fully tackle the core topics this year.

Again, the importance of algebra must be stressed. If you child is not completely comfortable with reasonbably complex algebraic manipulations it will make mastering topics like calculus nearly impossible.

### Some good ideas on how to help your child in Year 11 Maths

Help your child prepare for final assessment as much as you can. This is a good year to get a tutor for him/her in maths. Quite a number of very important new topics are introduced in year 11 maths and it is important that your child master them irrespective of other preparations that need be made for the next year.

You should also stress regular revision and general good study habits. The sheer volume of content this year makes success challenging. Success becomes more about effective study habits and exam preparation techniques rather than just “getting” the math. Many students are caught off-guard at exam time because of the increased pace of learning and increasingly difficult content – it is truly hard to manage.

## What they say about our tutoring:

We are very pleased how things are going with Megan and her tutor Swati. Swati is always punctual, she is very knowledgeable, she has excellent manners in tutoring & in general, and she is helping a lot already in building confidence in Megan abilities to understand maths for this year. Megan is comfortable and at ease to ask any questions when needed during the tuition.

We undertook tutoring with EzyMaths to assist my son in his Year 12 studies. We have found EzyMaths tutors excellent to deal with, always friendly, efficient and on time, and always willing to fit in with our personal timetable, and I am sure they have made a vast difference to the possible outcome and assisted my son for his future endeavours. I would recommend EzyMaths to anyone in a similar situation. They cater for all needs and I have found them to be of great benefit to my son and us.

Raymond is fantastic and very professional, he is always punctual and Frank already feels like he really likes the way that Raymond does his maths explanations. Thank you so much, it's going really well.

The experience has been great and the results speak for them self. My son gained confidence as a result of the tutoring and i would gladly recommend you to my friends and family. The tutor was very pleasant to work with and very approachable.

I would like to commend Mandy on her fantastic work with Jack. She has been so patient and we could not have asked for a better match with our son. Their hard work has paid off as we have received several comments from Jack’s teacher telling us how well he is going in maths and that there has been an improvement.

So far so good. Tri-Andrew and Ryan are getting on really well. Ryan had a maths test after only the 2nd tutoring session and got a B, which is the highest grade he has ever got. Ryan and I are really pleased with how it’s going. I just wish I had organised tutoring earlier.