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## Trigonometry 1

**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 »

## The Circle

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**

🙂

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## Differentiation

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 »

## Composite Functions

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

.

Filed under: Higher | Tagged: composite functions, functions, Higher, inverse functions | 2 Comments »

## Translating Functions

**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 »

## Polynomials

**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.

🙂

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