We review statistics and probability.

We will have our final exam next Sunday.

No specific homework this week, but the student should review what we have learned this semester by going over your homework and class notes.

Here are the answers to several previous homework for Lesson 12, 13, and 14

Answers to last week’s homework: answers1, answers2, answers3

Since not enough time was spent last time on speed-time graphs, we focus on that part today to make sure students get a good understanding of how to read a speed-time graph, how to calculate the distance, how to draw a distance-time graph from a speed-graph, etc.

There are some homework that is about speed-time graph, please use last class’s homework sheets and do or redo the parts about speed-time graph.

We will have a quick review of statistics and probabilities next time. We will have our final exam on 6/18.

Here are some more homework:

Page 8, Page 9, Page 10, Page 11

#19, #20, #22, #23, #24, #25.

We review coordinate geometry  and vectors in two dimensional space.

Homework: download Page 1, Page 2, Page 3

#1 – #6, #12 – #17

We study money exchange and talk about the difference between selling and buying price in real world for money exchange.

We study taxation focusing on individual income tax and property tax. Note, the book talks about Singapore personal income tax and property tax, which is different than the US system. But the concept is the same and hopefully that the students will know how to apply what they learn to real world situations.

Homework:

Page 1, Page 2, Page3, Page 4, Page 5, Page 6

Workbook Page Page 43: #9 – #12, #19 – #22, #26, #27

Answers to last week’s homework: answers1, answers2

We move on to the chapter about mathematics in practical situations, and today we study profit, loss, simple interest, and compound interest. These topics are not new for most students.

Profit is achieved when the selling price is bigger than the cost price. The difference is the profit. Profit over the cost defines the profit percentage.

When the selling price is lower than the cost, you have a loss, which is defined as the difference between the cost and the selling price. The loss over the cost defines the cost percentage.

Banking usually deals with interest. The original amount you deposit into a bank account is called the principal. The interest is calculated based on an interest rate, which usually is given as an annual percentage.

In simple interest calculation, the interest calculation is based solely on the principal. So interest $I earned on the principal $P at the interest rate of i% annually for a period of n years is given by:

I = P x i% x n

In compound interest calculation, interest is calculated on prior interest accumulated over a period of time. Suppose an initial principal $P is invested at i% per period with compound interest for n periods, let An be the amount after n periods, then:

An = P(1 + i%)^n

Homework:

Page1, Page 2

Workbook Page 41, #1 – #4, #13 – #16.

We review measuration, with the focus on:

• Areas of parallelogram and trapezium;
• Volume and surface area of a prism;
• Volume and surface area of a cylinder;
• Volume and surface area of a pyramid;
• Volume and surface area of a cone;
• Volume and surface area of a sphere;
• Length of an arc, area of a sector in a circle

Homework: from Page1, Page2, Page3:

#5- #18

Answers to last week’s homework: answers1, answers2