Relations and Functions - Direct and Inverse

Task 1 Part 1: Explore the following graphs or information given and observe the following: .1 patterns or repeated behaviours .2 the variables exist in the information eg. time is changing .3 the relationship between the variables .4 is there a factor for change eg. values are tripled
 Comment as a post

information 1

information 2

information 3

information 4

information 5

Task 2: watch the following videos

Pa

Learning Math, in SST

Matrices

Notes

Matrices 1 from Andrew Grichting

Matrices And Application Of Matrices from mailrenuka

Matrices Concept map 
source: http://faculty.oxy.edu/ron/math/214/Concept%20Map/Matrices.html

Matrices

The following shows the application of matrices in the Real World.


Questions for you to comment and post in this blog.

.1 What are the characteristics of the information presented in Sample A to E
.2 How is this information be made relevant and easy to use for the people?
.3 Define mathematics: MATRICES
.4 Give one other examples on how Matrices is used.

SAMPLE A

SAMPLE B

http://www.sbstransit.com.sg/transport/trpt_bus_timetable.aspx

SAMPLE C

http://www.lrta.gov.ph/tickets_fares.htm

SAMPLE D

http://www.london2012.com/medals/medal-count/

SAMPLE E

LT3 solution

Similar Solids

Practice makes perfect

Notes
source: http://www.glencoe.com/sec/math/prealg/prealg03/study_guide/pdfs/prealg_pssg_G095.pdf

Essential Formulae 

Activities
Click on diagrams below and attempt the questions that follows:
Activity 1:  Similar solids (click here to start)

Activity 2: Volume and Surface area of Similar solids (click here to start)

Activity 3: Perimeter, Area and Volume: Changes in scale (click here to start)

Similar Solid

Covert Footwork Competition

Are you creative? Love problem solving and intrigue by logical thinking problems. Participate in Covert Footwork Competition below. To participate complete the form attached.

Technology in Education

Congruent Triangles : Jia En

AB = 6cm

BC = 8cm

AC = 10cm

Angle of ABC = 90º

Angle of ACB = 37º

Posted on behalf of Jia En

Congruent Triangles - Praveen (8)

Fundamentals of Congruent Triangles - Bryan

Triangle 1 drawn using Geogebra

AB - 5cm
BC - 4cm
AC - 2cm

Congruency triangles(Chinni)

Triangle 3

BC=5cm

AC=3cm

angle BCE= 30º

Fundamental if Congruency

Triangle 3: 

AC=4cm 

BC=5cm 

Angle ACB=30

Lindsay Oliver Triangle 2

AB= 5

BC= 9

AC= 4

Fundamentals of Congruent Triangles (Triangle No. 4)

Fundamentals of Congruent Triangles (Triangle 1) Edwin

Triangle 1 Drawn Using Geogebra

Fundamentals Of Congruent Triangles

This is triangle number 4. 
Triangle drawn by hand.

Fundamentals of Congruent Triangles (No. 3)

Drawn using a hand.

Fundamentals of Conguent Triangles

Constructing a triangle ABC.
Triangle number 1.
Properties:
  -BC = 6cm
  -Angle ACB = 50degrees
  -Angle ABC = 50degress

Triangle drawn by hand.

Fundamentals of Congruent Triangles. Triangle No. 6

Triangle 6, drawn using GeoGebra

Fundamentals of Congruent Triangles No. 6

Triangle No. 6 BC = 8, AC = 10, angle ABC = 90 degrees

Hand drawn

Fundamentals of Congruent Triangles (No. 5)

He Shiying

Fundamentals of Congruent Triangles (Triangle No. 4)

Drawn using GeoGebra

Fundamentals of Congruent Triangles (No. 7)

(Drawn using GeoGebra)

|BC| = 6cm
Angle ACB = Angle ABC = 50º

Congruent Triangles

Triangle No. 5 BC = 6, AC = 3, angle ABC = 50 degrees

Hand drawn

About Pythagoras

Video 1 (About the Man) Video 2 (Proof) Video 3 So What do you think about Pythagoras? Post comment about the Man, his contributions or the Pythagoras Theorem

Trigonometry Introductory Task 1

Group 1
Solution and Diagrams

Solution 1:

Use map scale. Find the actual height of the person and scale it to 1cm per ?m. Then find the height of the pole.
(Similarity)

Solution 2:

>Find length of shadow to find angle of elevation
(Trigonometry or pythagoras)




(Chelsea, Carissa, Sheares, Jia En, Valery)

Trignometry introductory task 1

Activity 1

Solution:

Solution: Ask a person to to stand beside the flagpole, take a picture. Then measure the the height of the person and the flagpole in the picture and then you can find out the scale ratio by the the real height of the person and the height o the person int he image. Using that ratio you can find out the height of the flagpole.

Image (object) Image (pole) Real (object) Real (pole)
1.4cm 4.6cm 1.75m 5.75m
1.8cm 6.15cm 1.565m 5.35m
2.1cm 6.4cm 1.8m 5.48m

Task 1 How High Is That Pole (Sherwin, Farrell, Bryan, Harindrar, Edwin, Dylan)

Trigonometry Activity 2

Group Activity 2

Post your solution as comments

Trigonometry Activity 1

Group Activity 1

Post your solution as comments

Similarity and Congruency - Answer Key

answer key courtesy of Mr YU Yoong Kheong (MOE/ETD)

Congruent

If one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent:

Congruent Self Assessment

Please click here

Similarity

Hi Class,
1. Please download all the learning materials from the following url:
https://docs.google.com/folder/d/0B1PLfy5oNafDekpKVkJ5ZXRLSEE/edit


2. Update the Geogebra GeoGebra (4.0.37.0 for Mac OSX) from the following url to ensure all functions are updated:
http://code.google.com/p/geogebra/downloads/list


3. Please check in the linoit site.




Task 1 (5 mins)

Odd group -YK1_Similarity_Triangle and Squares.ggb
Even group -YK2_Similarity_Pentagons and Stars.ggb


Screen capture the materials with your manipulation and your explanation. (Remember to indicate your group members) and post them on the Linoit
SST Maths 207Similar_Task1. :)


We will then comment on explanation. Thanks.


Task 2 (Triangles) (7 mins)
For task 2, download the following learning materials: YK3_Adapted from material-6047.ggb, in your group, screen capture the following task: SST Maths 207Similar_Task2.


As a group, attempt the following:
1. Match the triangles that are similar to yours.
2. If the triangles are not similar, indicate that the triangles are not similar and place it on the right of the similar triangles.


3* Are there any methods to ensure that the matched triangles are similar triangles?


Task 3(Triangles) (7 mins)

For task 3, download the following learning materials: YK4_Similar_Ang.ggb, in your group. Attempt the task as indicated and discuss the conclusion with your partners.
Screen capture the following task: SST Maths 207Similar_Task3.

* Attempt Q8 after forming of summary.

Standard Form

Multitude of sizes

Secret Worlds: The Universe Within

View the Milky Way at 10 million light years from the Earth. Then move through space towards the Earth in successive orders of magnitude until you reach a tall oak tree just outside the buildings of the National High Magnetic Field Laboratory in Tallahassee, Florida. After that, begin to move from the actual size of a leaf into a microscopic world that reveals leaf cell walls, the cell nucleus, chromatin, DNA and finally, into the subatomic universe of electrons and protons.

Click here to see the transformation.

Index Notation and The Powers of 10

sources:
wikipedia
http://www.contracosta.edu
Powers of Ten™ (1977)