Posted on Friday 4 December, 2015 by Mr H
Mr H in 10 years
Trigonometry 1: Applying trigonometric skills to solve equations
By the end of this topic you will be able to:
• convert Degrees to Radian measure and vice versa
• recall exact values in and calculate using radian measure
• translate graphs of trig functions
• solve trigonometric equations in degrees or radians
- including those involving the wave function or trigonometric formulae or identities, in a given interval
Homework: Trigonometry HW1
Due: Monday 20th December
ALL pupils should be able to Q1-4
MOST pupils should be able to complete Q5
SOME : Not applicable for HW1
DO NOT DO Q6
🙂
Filed under: Higher | Tagged: equations, Higher, radians, trig, trigonometry | Leave a comment »
Posted on Thursday 26 November, 2015 by Mr H
New Topic: The Circle
By the end of this topic you will:
• know that the equation of the circle centre (a,b) and radius r is (x – a)² + (y – b)² = r²
• know that x² + y² + 2gx + 2fy + c = 0 represents a circle centre (–g, –f) and
radius r = √(g² + f² – c), provided g² + f² – c > 0
• be able to determine the equation of a circle
• be able to solve problems with the intersection of a line and a circle,
and a tangent to a circle
• be able to determine whether two circles touch each other
Homework: Circles Set2
Due: Monday 7th December
ALL pupils should be able to complete Q1 – 4
MOST pupils should be able to complete Q7
SOME pupils should be able to complete Q6
DO NOT DO Q5
Circles Set2 Solutions
🙂
Filed under: Higher | Tagged: circles, Higher | Leave a comment »
Posted on Thursday 1 October, 2015 by Mr H
New Topic: Differentiation, MiA Higher Ch3
By the end of this topic you will:
• be familiar with the terminology associated with differentiation
• understand the principles of differentiation
• be able to derive the gradient formula of a given function
• be able to calculate the gradient of a tangent to a curve
• be able to use differentiation to solve optimisation problems
Homework 1: Differentiation 1 Set1
Due: Friday 3:20pm – submit to Mr H’s office
ALL pupils should be able to complete Q1 & 2
MOST pupils should be able to complete Q4
SOME pupils should be able to complete Q3
Homework 2: Differentiation HW2
Due: Wednesday 18th November
ALL pupils should be able to complete Q1 – 4
MOST pupils should be able to complete Q5 & 6
SOME pupils should be able to complete Q7
Differentiation HW2 – Solutions
🙂
Filed under: Higher | Tagged: calculus, differentiation, Higher | 1 Comment »
Posted on Wednesday 16 September, 2015 by Mr H
By the end of this lesson you will:
- be able to find f(g(x)) given f(x) and g(x)
Homework: Composite and Inverse Functions Set1
Due: TBC
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Filed under: Higher | Tagged: composite functions, functions, Higher, inverse functions | 2 Comments »
Posted on Thursday 10 September, 2015 by Mr H
Completing the Square worksheet for Friday 11/09/15
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Filed under: Uncategorized | Leave a comment »
Posted on Tuesday 8 September, 2015 by Mr H
Desmos Calculator Activity
Explore the effects of changing the vales of a, b, c and d individually.
Discuss and agree the translations:
y = f(x + a)
y = f(x) + b
y = cf(x)
y = f(dx)
Click the graph below to start the activity:
🙂
Filed under: Higher | Tagged: functions, Higher, translation | Leave a comment »
Posted on Monday 31 August, 2015 by Mr H
Click the image to view an explanation….
Filed under: Higher, National 5, Study Support | Tagged: radians | Leave a comment »
Posted on Sunday 30 August, 2015 by Mr H
New Topic: Polynomials
By the end of this topic you will be able to:
• Factorise a cubic polynomial expression with unitary x3 coefficient
• Solve cubic polynomial equations with unitary x3 coefficient
• Factorise a cubic or quartic polynomial expression where the term of highest degree has a non-unitary coefficient
• Solve a cubic or quartic polynomial equation, where the term of highest degree has a non-unitary coefficient
• Find the coordinates of the point(s) of intersection of a straight line and a curve or of two curves
Homework: Polynomials Set1 (Q1-6 only)
Due: Thursday 17th September
Please check the solutions below and attempt the equivalent questions from the Set 2 sheet to those you struggled with first time. These should be handed in with your next homework or earlier. Please see me for help if necessary.
Polynomials Set 1 Solutions
Polynomials Set2
🙂
Filed under: Higher | Tagged: Higher, polynomials | Leave a comment »
Posted on Wednesday 26 August, 2015 by Mr H
New Topic: Quadratic Theory
By the end of this topic you will be able to:
• Given the nature of the roots of a quadratic equation, use the discriminant to find an unknown
• Finding the coordinates of the point(s) of intersection of a straight line and a curve or of two curves
• know condition for tangency; intersection of line and parabola (lines and curves)
• solve quadratic inequalities
Homework: Quadratic Theory Set1
Due: Wednesday 2nd September
Please check the solutions below and attempt the equivalent questions from the Set 2 sheet to those you struggled with first time. These should be handed in with your next homework or earlier. Please see me for help if necessary.
Quadratic Theory Set1 Solutions
Quadratic Theory Set2
🙂
Filed under: Higher | Tagged: Higher, quadratic functions | Leave a comment »
Posted on Wednesday 26 August, 2015 by Mr H
Euler Line – Group Investigation
In groups of 2 or 3:
Find the equation of the Euler line of the triangle with vertices A(-2, -4), B(2, 4) and C(12, -4).
Your group submission should be in the form of a presentation in a form of your choice. Your presentation must include:
• a fully worked solution with explanation
• accurate diagram
• other relevant information you discovered during your investigation
All members of your group should be prepared to present your findings to the class.
Due: Wednesday 30th September
Euler Line Investigation Worksheet
Filed under: Higher | Tagged: Euler line, Higher | 1 Comment »
