1 of 23

Algebra Room 424 Ms. Josie

​

Please sign in next to your name on the sheet by the door.

​

I have pencils, pens, paper, if you need it.

​

Tutoring: Tuesdays and Thursdays from 12 – 12:30 if you ever want extra help. (PLEASE LET ME KNOW AHEAD OF TIME)

​

The day’s lesson and the homework will be posted to my website by the end of each day.

www.mrsmillersmathtutoring.com

​

Always feel free to email me with any questions or concerns.

jmiller1@camdencc.edu

2 of 23

Warm Up: You have 5 minutes to work on these problems. Then, we will go over them.

 

 

 

 

 

3 of 23

​

9 AM class – Please arrive no later than 9:15.

​

10 AM & 11 AM classes – Please be on time.

​

If you are more than 15 minutes late, you can enter, but you CANNOT sign in.

4 of 23

Workbook page 94

PATTERNS AND SEQUENCES

​

Mathematics has been defined as the science of patterns.

​

Everything from art to nature to construction projects involves patterns.

A pattern has one or more repeating elements.

​

The numbers in the list below are the multiples of 8.

​

Focus on the ones place in each number.

​

What do you notice?

 

5 of 23

Workbook page 94

The digits in the ones place form a pattern that repeats.

​

Every 5 numbers, the pattern starts again:

 

 

 

6 of 23

Workbook page 94

A sequence is a pattern that is defined by a rule.

​

Look at the following sequence.

​

What do you notice?

​

How would you describe the sequence?

 

7 of 23

Workbook page 94

 

 

8 of 23

Workbook page 94

A sequence is finite if it has a limited number of terms.

​

A sequence is infinite if the terms go on forever.

​

Each number or other item in the sequence is called a term.

To talk about a sequence, you need to be able to identify a term’s position in the sequence and its value.

​

In the sequence 5, 10, 15, 20, 25, …50, the 3rd term is 15.

​

The position is 3rd; the value is 15.

9 of 23

Workbook page 94

Finding What Comes Next

​

Example: What number comes next in the sequence?

Examine the sequence, which is shown in the row of values.

What is happening from one term to the next?

    • The 2nd terms is 2 times the 1st term.
    • The 3rd term is 2 times the 2nd term.
    • Each term is 2 times the term that came before.

 

10 of 23

Workbook page 94

Patterns and sequences can contain letters, symbols, or geometric figures.

​

To solve a problem with a pattern, look for something that repeats and continue the pattern.

​

To solve a problem with a sequence, think about what changes from one term to the next.

11 of 23

Workbook page 95

Continuing a Patterns with Shapes or Symbols

​

Example: Which choice is the next term in the pattern?

The pattern is alternating circles and squares.

The next term needs to be a square.

Choice B is correct because it is a square with three lines.

The number of lines is increasing on each pair of shapes.

The next square needs three lines.

12 of 23

Workbook page 95

Draw or describe the next item in each sequence.

U

8 sided shape (octagon)

Grey J

55

13 of 23

Workbook page 95

Solve as directed.

  1. Explain If the pattern to the right continues, how many blocks would you expect to see in the next figure? Explain your thinking.
  1. If the pattern continues, what symbol would be the 50th term?

HOMEWORK: #’s 5 & 6

14 of 23

Workbook page 95

Solve as directed.

3

 

  1. What time is missing from the sequence?

 

2:40 PM

15 of 23

EXTRA PRACTICE

Solve.

 

 

 

 

 

 

16 of 23

EXTRA PRACTICE

Solve.

 

 

 

 

 

 

17 of 23

EXTRA PRACTICE

Solve.

 

1

3

5

7

18 of 23

EXTRA PRACTICE

Solve.

 

HOMEWORK

19 of 23

EXTRA PRACTICE

Solve.

 

HOMEWORK

20 of 23

EXTRA PRACTICE

Solve.

 

HOMEWORK

21 of 23

EXTRA PRACTICE

Solve.

 

HOMEWORK

22 of 23

EXTRA PRACTICE

Solve.

 

HOMEWORK

23 of 23

HOMEWORK

​

Page 95: 5 & 6

Numbers 6 – 10 on second page