عرض بوربوينت درس Arithmetic Sequences في الرياضيات باللغة الإنجليزية للصف التاسع متقدم (2)

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M4L4 –Arithmetic Sequences

Today’s Goals

• Construct arithmetic sequences.
• Apply the arithmetic sequence formula..

IntroductionOverview، LMS and notebook، Alef:CMU, ET, Assigment

Conclusion Present your work

Class roadmap

The big idea video

Let’s watch it together

What do you KNOW?

What do you WANT to know?

What have you LEANED?

Leave this part till the end of the lesson.

Starter

ARGUMENTS Determine whether each sequence is an arithmetic sequence.

Justify your reasoning

1. –3, 1, 5, 9, ...

1) Check the difference between terms.

This sequence has a common difference of 4 between its terms. This is an arithmetic sequence.

Group work :

18. –2, –5, –8, –11, ...

11. 21, 19, 17, 15, ...

19. –3, –8, –13, –18, ...

15 + (–2) = 13

13 + (–2) = 11

11 + (–2) = 9

–11 + (–3) = –14

–14 + (–3) = –17

–17 + (–3) = –20

–18 + (–5) = –23

–23 + (–5) = –28

–28 + (–5) = –33

33. 30, 26, 22, 18, ...

The common difference is –4.

The equation is

an = –4n + 34.

Graph the first five terms.

4-5 Arithmetic Sequences، an

The common difference is –5, so d = –5. The first term is –3, so a1 = –3.

....Continue

The equation is an = –5n + 2.

The 7th term is –33.

Relate Math to real life!

Please keep this slide for attribution.

MONEY Laniqua opened a savings account to save for a trip to Spain.

With the cost of plane tickets, food, hotel, and other expenses, she

needs to save $1600. She opened the account with $525. Every month,

she adds the same amount to her account using the money she earns

at her after school job. From her bank statement, Laniqua can write a

function that represents the balance of her savings account.

Example 4:

Apply Arithmetic Sequences as Linear Functions

Part A

Create a function to represent the sequence.

First, find the common difference.

The balance after 1 month is $580, so let a1 = 580. Notice that 1

the starting balance is $525. You can think of this starting point as

a = 580. 0

f(n) = a + (n - 1)d Formula for the nth term.

a1 = 580 + (n - 1)(55) a1 = 580 and d = 155

= 580 + 55n – 55 Simplify.

= 55n + 525

Part B

Graph the function and determine its domain.

On LMS

Plenary on revel Math Platform

It’s time to solve Alef.