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# Year 10 Maths

- What’s new in Yr 10 Maths?
- Main content of Yr 10 Maths?
- Common challenges for students in Yr 10 Maths?
- Main outcomes for Yr 10 Maths?
- Most important concepts to ensure your child understands in Yr 10 Maths?
- If you chose to get a tutor, study habits and content to focus on in Yr 10 Maths?
- Main challenges involved in tutoring a Yr 10 Maths student?
- Some good ideas on how to help your child in Yr 10 Maths?

### What’s new in Year 10 Maths?

Expressing recurring decimals as fractions and rounding numbers to specified numbers of significant figures. **Year 10 maths** will also introduce compound interest, depreciation and discounts. Algebraic expressions this year will involve fractions and negative indices. Similarly, quadratic equations, simultaneous equations and linear inequalities will be new. In coordinate geometry, simple parabolas and hyperbolas will be taught while in statistics, students can expect to learn box-and-whisker plots, find standard deviations and use terms such as ‘skew’ and ‘symmetry’. This year’s trigonometry problems will include three-figure bearings; congruent triangles will be studied extensively and the relationship between internal and external angles in polygons will be examined.

### Main content of Year 10 Maths

Year 10 maths introduces recurring decimals and significant figures. Compound interest calculations will also be handled as well as depreciations and successive discounts. The core content of this year’s algebra will include solving algebraic expressions involving fractions and negative indices, solving linear and quadratic equations as well as linear equalities and simultaneous equations. Coordinate geometry topics will include studying intercepts and gradients of straight lines as well as working with parabolas and hyperbolas. In statistics, plots of data sets will be studied with respect to the skew and symmetry of distribution curves as well as standard deviations of those data sets. Measurement will be a study in complex composite figures and solids, examples of which are cones, spheres and cylinders. The core of trigonometry in year 10 maths will involve using cosine and sine rules as well as trigonometric ratios. Construction of proofs will be required for deductions with special triangles, quadrilaterals and related angles.

### Common challenges for students in Year 10 Maths

A common challenge for students in this year is the use of deductive reasoning in constructing proofs for special angles in triangles and quadrilaterals. Trigonometric ratios will also be difficult for some, at least initially.The statistical plots and distribution curves to be studied this year can also be burdensome.

### Main outcomes for Year 10 Maths

Students, at the end of year 10 maths, are expected to be able to convert recurring decimals to fractions and round up decimals to specified significant figures. They are also expected to be capable of solving consumer arithmetic problems involving discounts, depreciation and compound interest. They should be familiar with algebraic expressions of all types as well as linear inequalities and linear and quadratic equations. For coordinate geometry, students should be able to draw line, parabola and hyperbola plots as well as calculate distances, gradients and midpoints. For statistics, they should be able to calculate standard deviations. Solving for perimeters, areas, surface areas and volumes of composite figures and solids should be mastered by the end of this year. In trigonometry, sine rule, cosine rule, relationships between angles and the construction of deductive proofs are some of the concepts that should be well understood.

### Most important concepts to ensure your child understands in Year 10 Maths

This year, your child should understand and be able to solve problems involving interest rates, complex algebraic expressions, linear and quadratic equations, standard deviations, composite solids and trigonometric rules as well as be able to construct trigonometric proofs.

### If hiring a tutor, what study habits and content to focus on in Year 10 Maths?

Encourage a concentration in deductive reasoning this year. Every topic from algebra to statistic and geometry will benefit from this ability to think outside mere numbers. There is, of course, no substitute for practicing more and solving more problems.

Also, continue to stress a focus on algebra, especially harder and more technical problems. Although this may not seem absolutely necessary, if your child masters the language of algebra, rather than merely getting by, it will immensely help in all other areas of math.

### Main challenges involved in tutoring a Year 10 Maths student

Maintaining interest and concentration in the student is a main challenge in tutoring students in year 10 maths, especially as you delve deeper into geometry and trigonometry. The maths becomes a lot more technical and structured this year and this can often overwhelm students or serve to subdue their interest. This especially happens when students focus on memorising rules rather than comprehension which should be avoided.

### Some good ideas on how to help your child in Year 10 Maths

Involve your child more; encourage active participation and independent thinking but above all, you and/or a tutor should rigorously go over the steps involved in arriving at conclusions and solutions. Ask your child to explain concepts back to you to ensure they are properly understood and not just memorised.

## What they say about our tutoring:

We had tried a couple of tutors for our son prior to contacting Ezymath but found them unreliable or just unsuitable. Ezymath assessed our son’s needs and then recommended a suitable Maths tutor with whom we were very pleased. They offered flexibility and a very professional service. The feedback on our son’s progress was also very helpful. I recommend the Ezymath service to anyone who wishes to see their child achieve academic success.

Thank you for your email. Sabrina was very happy with Sheetal. She feels much more confident now and has a better understanding of the concepts. She feels that she can now better cope and is confident enough to do it on her own. Many thanks for all your help.

Sounds like Alex is doing a great job. I’ve spoken to Quyen and she is very happy with the tutoring sessions.

Michael has really enjoyed having Raj come as his tutor. In fact he also managed to get 80% on his last algebra test at school. It has really empowered him to want to do well in maths and he looks forward to his tutoring session each week. We look forward to seeing him continue on his maths journey throughout the year. Many thanks Ps. I have referred a few of my friends onto your website as their kids were having difficulty too!!!

So far so good with Tim. Tim is now tutoring both my kids and both are really happy with him. Results will show in the months to come. It is early days but we are very happy so far.

Yes, we are very pleased that Sophia likes Rebecca and the tutoring seems to be going well. Rebecca obviously has patience and takes the time to explain things so Sophia can follow them and work through the maths, which is exactly what we wanted. The problem with the school is they move along so fast that there is not enough practice time, and we (the parents) are not familiar with what they teach so we can’t just help out quickly; we have to re-learn it ourselves first, and then we’re probably not good at explaining clearly. That’s why it is great having Rebecca who can obviously explain things in a way Sophia understands. The main thing is that Sophia sees herself as ‘no good at maths’, but when something is explained so she understands it, she is very pleased when she can get the right answers. A lot of it is a confidence thing I think, and also her school maths teacher has been quite negative about her work; so hopefully the tutoring will rebuild some of Sophia’s general confidence over time, which would be great. Sophia will never be a star at maths, but if she can just get passes instead of always negative marks and comments from school, we will be quite happy with that. Sophia is very good at English/Hums and art; maths is her weak area, and we are very pleased (and actually surprised) that she is sitting through an hour of maths tutoring each week without complaint. We did not know how it would go; we tried one other tutor a few months ago – a retired male maths teacher - and she hated it. So this time we are very happy.

Hi, Ruhail has been great and his flexibility has helped enormously. He spent 3.5 hours with Casey last weekend as she had a test she was very concerned about. Casey did much better in her test than she would have done and we are already over the moon. Please pass on our thanks.

We are really happy with Jarryd, we realise it is going to take time and we are prepared to do that for Thomas. Thomas is really comfortable with Jarryd and this helps. Wish we had done this earlier. Thanks for the enquiry.