Chapter 6: Algebra - Viva Voce

Chap 6 Algebra: Individual or Pair work Viva Voce
Posted by Nur Johari

Task 1: Algebraic Expansion - Self Revision (10 mins)
source: GCSE Bite-Maths and Maths notes
Individually do a quick

revision on algebraic expansion / simplification. The focus is on the step-by-step process in arriving at the eventual answer.
Note: You may refer to the link GCSE Bitesize:rearranging symbols or GCSE Bitesize: solving equations or the Maths notes.

Task 2: Peer Evaluation (10 mins)source: courtesy of S1-01

The following links show the work done by your friends on the topic algebraic expansion. They have created and posted a short videoclip to explain clearly how the following expression could be expanded.

(A1) 4m(7 + 3n)
(A2) 10 (6m² + 0.5m + 4)
(A3) (m + 2)(m + 5)
(A4) (3m + 2n)²

Individually select any ONE of the presentation, watch it and provide constructive criticism (to be uploaded as your personal comment). The constructive criticism could include the following:

.1 state how the explanation could be improved (eg. better video or audio presentation)

.2 state clarity of Mathematical concept (eg. the expansion is clearly shown)

.3 suggestions for improvement (eg. mathematical models could be used instead)

.4 include your name and class (this is about responsible citizenship)

Please choose any of the following students' work for your task: (click on their names for the link to their work)

• Zhi Qi & Joshua Ma
• Cheng Ngee & Su Lun
• Guang Jun & Bryan
• Su En & Shamemi
• Carisa and Pei Shan
• Zhi Chao & Soh Fan

Sample comments

Task 3: Individual / Pair Work (Algebraic Equation) (25 mins)

Individual or pair work. Create a short videoclip to explain clearly how you would solve ONE of the following equations.

Instructions
• Each clip should not be longer than 1 minute.
• Make sure your voice is clearly and distinctly captured.
• You may use PhotoBooth or QuickTime to complete the task - keeping in mind that the file size of the video clip should be as small as possible.
• Email your clip to Mr Johari at nurjohari@gmail.com and he will then review and upload your clip in the Maths blog. [you should complete the mathematical problem with step-by-step working and script during the given time]
• Remember to state the question as well as your name as your title of the post.

Reference (optional)
Sample video:

Linear Equation

Using GRAPHER, find out what kind of GRAPH will represent each of these EQUATIONS. Note, in this instance, you’ll only need to enter the LHS of each of these EQUATIONS to plot it’s graph.

What kind(s) of graphs are portrayed through these equations?

Expression and Equation

This is a continuation about algebra. We have covered definitions of the various terms used in algebra such as variables, like terms etc. We discussed about fundamental concepts and differences between expressions and equations.

Task 1:

In this task review the view clip again on how ' x finds out his value'.

Go through the site Study Guides and Strategies and attempt the following questions.

1. What is the difference between an equation and an expression?
2. What are the characteristics of a linear expression?
3. What does it mean to solve an equation?
4. Can an equation have multiple solutions?

Task 3:

Solve the following equations for the value/s of x.

1. 8x - 46 = 2
2. 8x + 46 = 2
3. -8x +46 = 2
4. 8x + 46 = 46
5. 8x + 46 = 8x

1. What is the significance of the solutions of the above equations?
2. Can an equation have multiple solutions or no solution? If so, what is the implication.

Mathematics Essay Writing Competition

To all SST Pioneers

Greetings!

Please check out the Main Page of the Google Login for the Essay Competition organised by the Singapore Mathematics Society.

You may participate as an individual or as a team of no more than 3.
As there is a limit to the number of entries to the competition per school, you will have to register through the school.

Rate Ratio Proportion (What's cooking this week?)

Cooking for a Party

Scenario:

SST is organising a class party and has entrusted your group to plan, purchase and eventually present the dish.

The task:

• Click on 'find a recipe' or to Martha Steward Recipe Finder select one recipe that is suitable for the party. You will be cooking a large meal for a party and so will need to change the quantities of the ingredients accordingly. Increase quantities using direct proportion and write a new shopping list.
• All the measurement must be in metric unit (i.e. cm instead of inch)
• The final product:
• An A4 size recipe with cooking direction using Pages.
• include the name and a picture, if possible, of your final dish
• estimated amount of calories
• include a brief writeup why your dish is the best.
• email your 1-page recipe to your Maths teacher with file name classyourname.pages

Resource: how to make caramel popcorn and recipe

rate Ratio Proportion (Resources & Games)

Click on the following links for simple activities to reinforce your understanding

SpyGuys- Percents

SpyGuys- Ratios

Solving Proportions

Rags to Riches (Proportions)

Chap 9: Rate, Ratio and Proportion

Self Directed Learning (week 9)

2 tasks attached to be completed

Task 1: Self Directed practice

Go through the link and answer the following questions:

• What is/ the key difference/s between ratio and proportion?
• What are the rules you have to observe in ratio and proportion?

Go through the following activities

[the critical activities are identified with *]

factsheet include the following:

1. What is ratio? 2. Understanding direct proportion? 3. Using Direct Proportion

4. Simplifying ratios? 5. Tips for ratio and proportion sums 6. Key words

simple game to practice ratio:

worksheet 1 - 5

worksheet 2, 3 & 5 compulsory (*)

Self directed quiz with 3 different level of difficulties (*)

Task 2 : [to be submitted]

before completing the assignment review what you have covered in this chapter

1-02 & 1-05 : use your exercise books

1-08 & 1-09 : use fool scap papers

[akan datang]