Form 9 Christmas revision

Please review the information at:

Please review pages 2 to 54 of the ICT textbook then answer the questions which you can download from
http://sdrv.ms/1fBUcUr

Form 8 Christmas Revision

Please download the Christmas revision document available at the following link:

http://sdrv.ms/1c8Sc7r




 
Please review the work we have done this year and on here.
Have a great Christmas and New Year!
Best wishes,
Mr. Healy

Form 9 Christmas Revision

Please review the work we have done in class this year and the material on this blog.
The following site will also be useful in your revision (note that some of the topics may not apply to IGCSE):

Make sure you complete the Christmas revision document which is available at the following link:
http://sdrv.ms/1c8SCuv.
(You can see the document at the end of this post). We will correct this in class at the start of term 2.

Finally please solve the revision problems and check the solutions for the sections listed below (these are from the following website):
http://www.newton.edu.pe/mathematics/Contents/ibrqs2/pag/igcse.htm)

• Algebra 1

• Area

• Area and Volume 

• Drawing Graphs

• Percentages 

• Linear Equations

Have a great Christmas and New Year!
Best wishes,
Mr. Healy

Pythagoras' Theorem

Objectives
Use Pythagoras' Theorem







Pythagoras' Theorem

Loci

Objectives

• Locus from a fixed point

• Constructing a perpendicular bisector

• (to find the locus that is equidistant from two points)

• Locus from a line

• Constructing the bisector of an angle

• (to find the locus that is equidistant from two lines)

Locus from a fixed point

and the locus of all points at a fixed distance from a line.Watch the video here.

Constructing a Perpendicular Bisector

You can find the method by clicking on the image below:

Watch the video.

Constructing the perpendicular bisector helps you find the locus of points that are equidistant from two points.

Bisecting an angle

We use this method to find the locus of all points that are equidistant from two lines.

Some real world examples of loci

Watch a video of how loci apply in the real world.

 

Homework:

Bearings:

P191 Ex 19      Q 3, 4, 5

Loci:

P194   Ex 20    Q 4, 7, 9, 11

Quadrilaterals, Polygons, Bearing

Objectives:

- types of quadrilateral and polygons
- angles of polygons
- bearings

 

Types of Quadrilaterals

Polygons

Bearings

Homework:

Pg184 | Ex 12  | Q 3, 5, 7

Pg185 | Ex 13  | Q 3, 4, 6

Pg187 | Ex 14 | Q 3, 5

Pg188 | Ex 15 | Q 2

Pg190 | Ex 17 | Q 3, 4, 5 

Bring a compass next class!

Enlargements & Translations

Enlargement

Click the image above for more information, watch a video here.

Question P177 Ex 7 Q8

Translations

Term Test

Review:

1. Types and components of computer systems

2. Input and output devices

3. Storage devices and media

4. Computer networks

 

Main sources of information:

You can also look at:

 

Quick Review is available here:

You must also complete the quizzes on Yacapaca, anyone with log in problems come and see me please. 

 

 

 

 

Reflection, Rotation and Enlargement

Objectives:

• Construct and reflect shapes in lines

• Rotate figures about a point

• Apply enlargements

Reflections:

Rotation

Enlargements

Homework

Pg 167    Ex 1    Q7

Pg 168    Ex 2    Q3

Pg 170    Ex 4    Q1

Computer Networks (Section 4)

A network is two or more computers, or other electronic devices, connected together so that they can exchange data.

For example a network allows computers to share files, users to message each other, a whole room of computers to share a single printer, etc.

Click below for the notes:

Click for a short review.

Homework

Please study the notes and answer the three short quizzes on yacapaca.com.

Fractions, Decimal and Percentages

Objectives:

• Convert fractions to decimals

• Change decimals to fractions

• Putting fractions in order -converting to decimals -common denominators

• Calculating a fraction of a quantity

• Mixed numbers

• Multiplying and dividing by fractions

• Percentages

Fractions Review

Decimals

Percentages

Homework

Exercise 15.1A	Fractions to Decimals
	Q3
	Q6
Exercise 15.1B	Decimals to fractions
	Q3, 4
Exercise 15.1 C	Ordering
Q 1, 2	Q 3, 4
Exercise 15.2A	Mixed Numbers
	Q 4, 5, 6
Exercise 15.2B	+ & -
	Q 4, 6
Exercise 15.2C	x & ÷
	Q 3, 4 Q 9, 10

Exercise 15.3A	Percentages
	Q 3, 4
Exercise 15.3 B
	Q 3, 4
	Q 9, 10

Scatter Plots, Excel and finding averages

Objectives:

• Line of best fit 

• Use Excel to display data

• Calculating the mean, median, mode and range for statistical data.

• Frequency polygons

 ___________________________________________

Scatter Plots

See an Excel tutorial on how to draw a scatter plot and line of best fit

 

Review of mean, median and mode:

 

Remember that very large or very small figures in a list of data can affect the mean and the range.

The median and the mode are less affected.

Frequency Polygons

Just as 'averages' can be misleading, look at this link to see how graphs of statistical data can be misleading.

Homework

(P143      Ex 8    Q5)

(P153      Ex 10  Q3, Q11)

P158      Ex 11  Q3

P160       Ex4A  Q6

P164/165   Ex 4B  Q7

Handling Data

Objectives:

Construct and interpret:

• Pictograms, 

• Pie charts, 

• Tally charts and Frequency diagrams,

• Grouping data

Conversion Graphs

 

Pictograms

Pie Charts

Bar Charts & Frequency Diagrams

Conversion Graphs   [PDF]

Homework

Pg 133     Ex 4     Q2

Pg 136     Ex5      Q3

Pg 137     Ex6      Q2

Statistical Calculations

Objectives:

• Calculating the mean, median, mode and range for statistical data.

• Know which is the best to use.

Review of mean, median and mode:

Large and small values

You need to know that very large or very small figures in a list of data can affect the mean and the range.
The median and the mode are less affected.

Homework:

Page 112  Ex. 12.1   Q:1

Page 115  Ex  12,2   Q:2

 

Graphs, gradients and lines

Objectives:

• Drawing curved graphs

• Calculate the gradient and intercepts of a line

• Solving equations graphically

 

Straight line graphs: 

This link shows how a line changes as you change the values.

Curved Graphs: 

Have a look here to see how changing the constants in an equation changes the shape of the graph.

Homework:

Page 56    Ex 11  Q: 5

Page 57    Ex 12  Q: 1 i,j; Q2

Page 59    Ex 14  Q: 9, 10, 15, 23

Page 62    Ex 16  Q: 4

Equations

Objectives:

-Solving Equations: Variable on both sides; fractions; geometrical;

-Drawing linear graphs

 Solving Equations:

Review here

Some problems and how to solve them. 

Homework:

Page 48 Ex 4 Q: 16, 22,28

Page 48 Ex 5 Q: 13, 16, 19

Page 49 Ex 6 Q: 21, 26, 31

Page 49 Ex 7 Q: 5

Page 50 Ex 8 Q: 5, 12

Page 51 Ex 9 Q: 5, 7, 11

Page 54 Ex 10 Q:11

Researching for your website

Environmental Awareness

In this week's class you will be researching some aspect of Environmental Awareness for your website. 

Read the following page on how to research information on the internet. Don't forget that you can also read books and other reference books, e.g. an encyclopaedia. Online encyclopedias include:

•Encyclopedia Britannica – www.britannica.com

•Encarta – www.encarta.msn.com 

Have a look a the sample website research here.


Use the worksheets to write out your research, or you can do it on your computer using the sheets.



>>>>>Here are some sites to get you started:

• Earth 911
• Eeko World
• Nature Challenge for Kids
• EPA's Environmental Kids Club
• Recycle City
• The Planet Slayer
• Kids Planet

Data & Storage Media (Unit 3)

Objectives:

(a) describe common backing storage media (including magnetic tapes, hard discs, all forms of CD and DVD, memory sticks, flash memory) and their associated devices
(b) identify typical uses of the storage media, including types of access (e.g. serial/sequential, direct/random) and access speeds
(c) describe the comparative advantages and disadvantages of using different backing storage media
(d) define the term backup and describe the need for taking backups
(e) describe the difference between main/internal memory and backing storage, stating the relative benefits of each in terms of speed and permanence

 

Main information:

You can also look at:

 

Quick Review is available here:

 

 

 

Binary Code

Binary just means '0' and '1', the language computers understand. Our alphabet is converted to binary using "ASCII" code (American Standard Code for Information Interchange). Click here to find out more.
You can use this website to convert text to binary.

Letters as numbers and solving equations

Objectives:

• Link numbers to letters. 

• Solve equations: know that what we do on one side of the equation we must do on the other.

• Write mathematical sentences.

Linking numbers to letters.

Try the quiz:

Input & Output Devices

Break up into groups, use the internet, ictlounge.com or see the files at http://sdrv.ms/1irTRTL
to research each device.

• State whether each device is an Input Device, Output Device or a Sensor. 
• Give a brief explanation how it operates and what it is typically used for. 
• List some advantages and disadvantages.
• Any other information of interest.

Present back to the class and be prepared to answer questions.

• Try the quiz.
• Fill in the blanks.
• Homework: Further investigation of sensors.

Angles, Lines and Polygons

Objectives:
To know that the angles of a triangle add up to 180°
Angle properties of parallel lines
To know that the sum of the interior and exterior angles of quadrilateral add up to 360°
Tangents and triangles in a semi-circle

The angles of a triangle add up to 180°

Angle properties of parallel lines

 

Interior Angles of Polygons

An Interior Angle is an angle inside a shape.

Triangles

The Interior Angles of a Triangle add up to 180°

90° + 60° + 30° = 180°	80° + 70° + 30° = 180°
It works for this triangle!	Let's tilt a line by 10° ... It still works, because one angle went up by 10°, but the other went down by 10°

Quadrilaterals (Squares, etc)

(A Quadrilateral has 4 straight sides)

90° + 90° + 90° + 90° = 360°	80° + 100° + 90° + 90° = 360°
A Square adds up to 360°	Let's tilt a line by 10° ... still adds up to 360°!
The Interior Angles of a Quadrilateral add up to 360°

Because there are Two Triangles in a Square

The interior angles in this triangle add up to 180° (90°+45°+45°=180°)

... and for this square they add up to 360° ... because the square can be made from two triangles!

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Exterior angles of a polygon add up to 360

 

Names of polygons

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

The angle between the tangent and radius is 90°

A tangent to a circle is a line which just touches the circle.

Remember:
A tangent is always at right angles to the radius where it touches the circle.

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

The triangle drawn on the diameter of a circle is always a right angles triangle

We could also rotate the shape around 180° to make a rectangle! It is a rectangle, because all sides are parallel, and both diagonals are equal. And so its internal angles are all right angles (90°).