Circles 2 – Arcs & Sectors

Circle Parts

Having investigated the relationships between the radius, diameter, circumference and area of a circle, I can apply my knowledge to solve related problems.  MTH 4-16b

In this topic we will extend our knowledge of the circle by learning how to calculate the length of an arc of a circle and calculate the area of any sector of a circle given the angle at the centre.  We will use our knowledge to solve problems including finding the angle at the centre given an arc length or sector area.

Homework: Arcs & Sectors

Task 1: Find the minor arc length for (c), (d) and (e), the sector area OAB for (f), (g) and (h).

Task 2: In your group solve the allocated problem, Q3, Q4 or Q5, and be prepared to present your solution to the class on the whiteboard.

Due: Thursday 12th September

🙂
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More Statistics

There are three kinds of lies: lies, damned lies and statistics.

Benjamin Disraeli, 1804-81

New Topic: More Statistics, MiA 3³ Ch12

In this topic you will revise your current knowledge and skills in statistics, looking in more detail at drawing valid conclusions from your calculations.

You will learn how to analyse the spread of data using Standard Deviation.

Factors

Factorisin Trinomial

New Topic: Factors, MiA 3³ Ch5

By the end of this topic you will be able to:

  • by first looking for a common factor
  • by recognising a difference of two squares
  • trinomials (e.g. x² -2x -3 and 2x² – 7x + 3)
  • S3 Credit Homework 1

    International Space Station

    The International Space Station (ISS) orbits the earth at an average altitude of 370km.
    In ideal conditions it is visible with the naked eye.

    On a particular day it was observed to have orbited the earth 16 times.

    Using the information given and any other relevant data, calculate the average orbital speed of the ISS on that day.

    Brackets & Equations

    New Topic: Brackets & Equations, MiA 3³ Ch3

    By the end of this topic you will have revised your basic algebra skills including:

  • gathering like terms & simplifying expressions
  • substituting values (including negative numbers)
  • evaluating expressions
  • multiplying out brackets
  • You will be able to:

  • multiply out (expand) double brackets
  • expand squared brackets
  • Standard Form

    Revision Topic: Scientific Notation

    Revision of converting numbers to and from floating point form and standard form (scientific notation)

    Trigonometry

    By the end of this topic you will be able to answer this question and other similar problems.

    During the topic you will explore the relationships between the sides of right-angled triangles and use the knowledge gained to solve problems involving the sides and angles of right-angled triangles.