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.
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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:
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.
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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.
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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.
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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.
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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.
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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.
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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.
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