Thursday, 30 July 2015

Re-Visiting: Geometrical Construction (Y2014 EOY Question)

Basic Geometry (Assignment - Tiers A & B) Why? Why? Why?

Let's refer to the Handout to do the activity: 
You will need to insert the relevant properties to the working:

Angles & Angle Properties (LINK to GoogleSite)
  1. Adjacent Angles on a Straight Line
  2. Angles at a Point
  3. Vertically opposite angle
Parallel lines and transversals (LINK to GoogleSite)
  1. Corresponding angles
  2. Alternate angles
  3. Interior angles


Wednesday, 22 July 2015

Let's Ponder (Discussion 1): Is it true that...

In preparation of the I&E Bazaar, class S1-10 conducted a survey and found that the McDonald's "Crispy Chicken Breakfast Deluxe" meal is very popular amongst the SST students. They decided to sell a similar breakfast set in that morning. 

To advertise their stall, they included the following chart in their promotional flyer. 
Their publicity gimmick was, "We are one-third of what you normally paid!"



From a consumer's point of view, what is your reaction to this publicity stunt?
Hint: Remember to elaborate your response by applying what we learnt in this topic

Remember to include your Group number before submitting the comment.

Let's Ponder (Discussion 2): Is the Change really Significant?

In the annual Town Council report, it reported the effort put in to improve the environment of the residents in the area it was in-charge of.

One aspect is the collection of refuse, which was a feedback by the residents.
The diagram shows the reported non-collections of refuse as a percentage of the total number of households in a town


Study the above diagram carefully.

1. Do you agree that the Town Council has made significant improvement? Why?

2. With reference to the visual representation, point out at least 2 areas that need improvement.
- Why do you think these 2 areas require improvement
- Suggest how to improve the representation.

Remember to include your Group number before submitting the comment.

Let's Ponder (Discussion 3): It's a "Fair" Representation?

The diagram represents the sales of socks at the bookshop in the months of April and May. In April, she sold 10 pairs of socks.

To report the improved sales to the company, the bookshop auntie represented decided to represent the sales using a 'pictogram'.



Does the above "pictogram" give a fair representation of the socks sold in these 2 months?
Give a reason to your answer.

What would you suggest to the bookshop owner to present the sales in an 'objective' manner?

Remember to include your Group number before submitting the comment.

Data Handling: Dot Diagram - 3-minute Quiz



Click HERE to view class responses



Data Handling: Stem-and-Leaf 3-minute Quiz




Click HERE to view responses




Saturday, 18 July 2015

6 AM Quiz: Can this be solved?

Use a bit of your imagination (visualisation), solve the following:


Source: https://brilliant.org/





Thursday, 16 July 2015

Data Handling: Mean, Median, Mode - 3-minute Quiz



Click HERE to view responses

Data Handling: Frequency Table - 3-minute Quiz

You may click HERE to access form if the embedded form is not displayed.

Click HERE to see the class responses

Submission of Homework: Pop Quizzes

Refer to the set of Pop Quiz issued to you on Tuesday.
Input your answers in the following form:
(Alternatively, you can click HERE to access the form)


Click HERE to access your results 
(you will be able to access it at the end of today).

Wednesday, 15 July 2015

Tuesday, 14 July 2015

Assignment 9.5 (Tier C) Questions

Question 4

How to approach this question?

1. What is the info available in the question?
  • Gradient is given
  • 2 points given, although one of them is unknown, P (x, y).
2. What would help us to link 2 points and the gradient together?
  • The formula!
  • After substituting the points and the gradient into the formula, we will get an equation with x and y. 
  • Next, we re-arrange the terms in a form that we are familiar with: Y = mX + c


By Malcolm

By Tjin Yao

By Benedict



Question 5

How to approach this question?

1. What is the info available in the question?

  • We have an equation with incomplete information: we have the y-intercept, but gradient is unknown (m).
  • We are given 3 points. Among them, we have A (6, 11)
  • We can substitute the coordinates of into the equation to find m
2. Since we now know the gradient m, and we have a known point A


  • We can use 2 points A and P to find gradient.
  • Using the formula for gradient, we substitute the value m and the points A (6, 11) and P (a, 16). There, we will be able to find the value a.
  • Similarly, we substitute the value and the points (6, 11) and Q (2b) into the gradient formula to find value of b.

By Malcolm

by Kar Kit





Saturday, 11 July 2015

Unit 9.7 Solving Problems involving Linear Graphs



Click HERE to check your answer

Unit 9.8 Application in Real World Situations



Click HERE to view responses

6 AM Quiz (3) Arty Equations

In Algebra, a relationship between 2 variables can be described by an equation; and we used Grapher to help us 'graph' out the relationships.

DESMOS is a website that you will find pictures created with lines of equations with 2 variables.
https://www.desmos.com

Try examining some of these pictures to see how lines, when put together, can generate amazing pictures. (Take note of the domains)



Below is an example made up by linear graphs (given specific domains to display the line)


By clicking at "Share Graph" on the top right corner, you can share the image link with others.



You can click HERE for the navigation and user guide.

Your CHALLENGE is to create a image using at least 10 lines and post the URL of the image at the following GoogleForm.







Monday, 6 July 2015

What we did today & Preparation for next lesson

1. Watch the video clips below to review what we went through in today's lesson.



2. Attempt the Quiz from AceLearning Portal by this evening


3. Complete Study Notes: p21 Class work 3 (Tier B) to p22 Class work 4 (Tier B)

Submit your answers to the class work via the form below:





Click HERE to view the class responses


Sunday, 5 July 2015

Quick RECAP on the properties of gradient and "y-intercept"

In the general equation, y = mx + c where m is the gradient and c is the y-intercept, 

Click HERE to access the applet.
Note: "b" is the same is "c".

Slide the blue buttons representing "m" and "b" respectively, to recall how the graph behaves.
Note: Below is the screenshot of the website.

3-minute Quiz to recap...


Click HERE to view responses from the class

Thursday, 2 July 2015

Homework + Preparation for NEXT Lesson

Homework

Assignment 9.3:

Question 1 (take note of the changes)


Question 2 (take note of the additional information, i.e. the domain)

Question 3
Take note of the scale & remember to show 'working' on the graph paper


Submission:
1. Attempt each question with a new sheet of graph paper
2. Staple the Question paper on top of the 3 graph papers


Preparation for next lesson

Study Notes: p18 to p22
  • Concept of Gradient
  • Finding equation of graphs



3-minute Quiz to recap...



You may click HERE to access the Quiz.

Click HERE to view the class responses

Wednesday, 1 July 2015

Key Ideas of Today's Lesson

In the previous lesson, we learnt to describe the behaviour of the graph, in particular, where the graph cuts the y-axis (i.e. the y-intercept).

Building on the above, we investigated the behaviour of the graph when the value of "m" changes.
"m" is the gradient of the graph, i.e. how the graph 'slants' (how steep/ gentle, upwards/ downwards).

In addition, we also discussed what happened when m = 0?
(i.e the graph is a horizontal line)

The general equation of a linear graph is Y = mX + c

When m = 0, general equation becomes y = c


When the line is vertical (i.e. perpendicular to the x axis), its gradient is undefined.
We also observed how the following equations are represented:





Food for Thought: 2 Questions

(a) What is the equation of the line that lies on the x axis?
(b) What is the equation of the line that lies on the y axis?


In Summary...

Activity 1: Investigating "Negative" m


Key in your observations about the graphs

  • Describe similarities
  • Describe uniqueness - attempt to draw out some trends/ patterns

Activity 2: Investigating "Positive" m


Key in your observations about the graphs

  • Describe similarities
  • Describe uniqueness - attempt to draw out some trends/ patterns