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The Exponential & Logarithmic Function
New Topic: The Exponential and Logarithmic Functions
By the end of this topic you will be able to:
• recall and use the laws of logarithms
• solve simple exponential and logarithmic equations
• model mathematically situations involving the logarithmic or exponential function
Homework: Logs and Exponentials Set1
ALL pupils should be able to Q1
MOST pupils should be able to complete Q2,3
SOME pupils should be able to complete Q4
Due: Will be completed in class
Filed under: Higher | Tagged: exponentials, Higher, logarithms | 2 Comments »
Sequences
New Topic: Sequences, MiA Higher Ch4
By the end of this topic you will:
• know the terms: sequence, nth term, limit as n tends to
• use un notation for the nth term of a sequence
• define and interpret recurrence relations of the form un+1 = mun + c
• know condition for limit of sequence from recurrence relation to exist
• find (where possible) and interpret the limit of a sequence resulting from a recurrence relation in a mathematical model
Homework: Recurrence Relations Set1
ALL pupils should be able to Q1-4
MOST pupils should be able to complete Q5
SOME pupils should be able to complete the extension question below
Due: Wednesday 23rd March
🙂
Filed under: Higher | Tagged: Higher, recurrence relations, sequences | 2 Comments »
Integration – Area Between Curves
Area Between Curves – Worksheet
Area Between Curves – Marking Scheme
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Integration
New Topic: Integration
By the end of this topic you will be able to:
• know meaning of terms; integral, integrate, constant of integration,
definite integral, limits of integration, indefinite integral, area under curve
• calculate indefinite integrals
• evaluate definite integrals
• determine area between curve y = f(x), x-axis and lines x = a and x = b
• determine area bounded between two curves
• solve differential equations
Homework: Integration 1, Further Calculus
ALL pupils should be able to Integration 1 Q1-3, 5
MOST pupils should be able to complete Integration 1 Q4, and Further Calculus Q2-3
SOME : pupils should be able to Integration 1 Q6 and Further Calculus Q7
Due: Thursday 10th March
Solutions: Integration 1 Solutions, Further Calculus – Solutions
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Trig Revision
Revision Sheet: Trig Revision
Complete by Thursday 28th February
Worked Solutions from class
🙂
Filed under: Higher, Higher | Tagged: compound angle formulae, equations, Higher, trigonometry, wave function | Leave a comment »
Wave Function
New Topic: Wave Function
Homework: Wave Function Set 3
ALL pupils should be able to Q1-3
MOST pupils should be able to complete Q4 & 5
SOME : pupils should be able to Q6 & 7
Due: Thursday 18th February
🙂
Filed under: Higher | Tagged: Higher, wave function | Leave a comment »
Vectors Revision
Vectors Revision
Skills:
• know meaning of terms; vector (column, position, unit), scalar, magnitude, directed line segment, component
• add and subtract vectors and multiply a vector by a scalar
• determine the distance between two points in three dimensions
• determine and solve problems relating to parallel, perpendicular and collinear lines
• use and apply the scalar product
Vectors Revision Marking Scheme
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Higher Prelim Revision
Working your way through past papers is the only way to make sure you have understood what you’ve been taught during the year.
Remember ‘RE VISION’ means ‘SEE AGAIN’. Redoing homework or past paper exercises again is a good idea, you can compare with your previous attempt. Having done it before does not necessarily mean knowing it!
Make sure that you USE all the resources available to you; past papers, textbook, class notes, homework resources, topic checklists, study guides, internet, TEACHER!, etc.
Good luck!
Higher Prelim Revision Booklet
These prelims follow the old Higher Unit order and contain topics not yet covered: i.e. Recurrence Relations (Sequences) and Integration. Please miss these questions out and ask if unsure.
Mr H
Filed under: Higher, Higher | Tagged: Higher, higher revision, Prelim | Leave a comment »
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