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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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 *x*^{3} coefficient

• Solve cubic polynomial equations with unitary *x*^{3} 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 »