Completing the Square Practice

Completing the Square worksheet for Friday 11/09/15

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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:

🙂

 

What is a radian?

Click the image to view an explanation….

whatisaradian

Polynomials

keep_calm_polynomials

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

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Quadratic Theory

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

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Euler Line

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

Perpendicular Lines