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- What’s new in high school maths?
- Main content of high school maths?
- Common challenges for students in high school maths?
- Main outcomes for high school maths?
- Most important concepts to ensure your child understands in high school maths?
- If you chose to get a tutor, study habits and content to focus on in high school maths?
- Main challenges involved in tutoring a high school maths student?
- Some good ideas on how to help your child in high school maths?
What’s new in high school maths?
Dealing with numbers of all types and sizes including using scientific notations and working with index laws. Consumer arithmetic will cover simple interest, compound interest, discounts and depreciation. Theoretical probability is also a new topic here. Transition from numbers to algebraic expressions and words. Linear and quadratic equations as well as linear inequalities. Coordinate geometry of line graphs, parabolas and hyperbolas. Cumulative frequency tables, polygons and curves as well as solving for mean, median, mode, range and standard deviation. Measurements of perimeters, areas, surface areas and volumes of solid shapes and composite figures. Trigonometry of angles and triangles as well as construction of proofs. Trigonometric ratios and functions. Calculus (differentiation and integration) and its application in other areas of maths and real world problems.
Main content of high school maths
The content of high school maths is so wide that it is hard to pinpoint the main contents. However, key areas include working with numbers and algebraic expressions, consumer arithmetic, statistical analyses, coordinate geometry, trigonometry of solid shapes and trigonometric functions as well as constructions of proofs. Core to high school maths are all aspects of calculus and its applications.
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Common challenges for students in high school Maths
Students generally find high school maths to be broad. However, the syllabus divides the content over the years in a way where new concepts should build on good foundations. The commonest challenges in high school maths are algebraic expressions and quadratic equations at the beginning; Euclidean and Euler geometry as well as construction of proofs and geometrical arguments for angles and triangles later. Towards the end, calculus, its applications as well as trigonometric functions are usually found to be challenging.
Main outcomes for high school maths
At the end of high school maths, students should be capable of simplifying algebraic expressions and solving quadratic equations and polynomials. They must also be able to do financial calculations and master the collection, interpretation and presentation of data. In addition, it is required that students be versed in measurements and construction of solid shapes and figures in 2- and 3-dimensions. They are expected to identify and solve for angles and triangles, establish proofs through deductive reasoning and be familiar with trigonometric ratios and functions. Calculus must similarly be mastered as well as its various applications.
Most important concepts to ensure your child understands in year 12 Maths
Important concepts to ensure your child understands in high school include algebraic expressions, quadratic and polynomial equations, statistical methods and basic principles of probability, trigonometric functions and geometry of lines, curves, solid shapes and composite figures. Lastly, calculus is absolutely essential.
If hiring a tutor, what study habits and content to focus on in high school maths?
When getting a tutor for your child’s high school maths needs, make sure you hire a capable tutor who can give the time and challenge to spur your child to learning as well as helping them develop independently. Maths at this level requires a total commitment on the part of your child. A habit of independent learning will help your child learn faster and this habit can only be cultivated by gradually weaning the child of outside help. This will be achieved when you have a tutor who helps develop the mental capacity and aptitude for maths as well as make the learning sessions fun and interactive.
Main challenges involved in tutoring a high school maths student
High school maths can be convoluted by the interconnectedness of its parts. Students who are not able to bring together what they have learnt from different parts of the course will experience the most difficulty. Some topics can be especially challenging. These include coordinate geometry, trigonometry and calculus.
Some good ideas on how to help your child in high school maths
Help your child learn faster by hiring a maths tutor. By helping with real world problems your child can be more confident and learn to actively seek to learn maths. There is no substitute for solving more exercises and providing individual attention.
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