SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on...

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SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1. Set up your Cornell notes. Topic is “Arithmetic Sequences.” 2. What pattern do you notice 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, . . . . HW: Arithmetic Sequences

Transcript of SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on...

Page 1: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

SWBAT…write terms of an arithmetic sequence Tues, 4/17

Agenda 1. WU (10 min)2. Notes on arithmetic sequences: 7 examples (35 min)

Warm-Up:

1. Set up your Cornell notes. Topic is “Arithmetic Sequences.”

2. What pattern do you notice 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, . . . .

HW: Arithmetic Sequences

Page 2: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Fibonacci Sequence

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, . . .

Page 3: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

A sequence is a list of numbers that are related to each other by a rule.

The numbers in a sequence are called its terms.o The letter a with a subscript is used to represent the terms

of a sequence.o a1 represents the first term of the sequenceo a2 represents the second term of the sequenceo a3 represents the third term of the sequence, and so on

If the difference between successive terms is constant, then the sequence is called an arithmetic sequence.

The difference between consecutive terms is called the common difference, d, of the sequence.

Page 4: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

To find the common difference (d), subtract any term from one that follows it.

2 5 8 11 14

1a 2a 3a 4a 5a

3 3 3 3

Page 5: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Example 1Write the first six terms of the arithmetic sequence with the first term 6 and common difference 4.

Solution6, 10, 14, 18, 22, and 26

Page 6: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Example 2Write the first six terms of the arithmetic sequence with a1 = 5 and d = -2.

Solution5, 3, 1, -1, -3, and -5

Page 7: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Find the first term and the common difference of the arithmetic sequence.

34, 27, 20, 13, 6, -1, -8, …

Solution:First term: 34

Common difference (d): = 27 – 34 = -7

Page 8: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

The nth term of an arithmetic sequence with first term a1 and common difference d is:

1 ( 1)na a n d The value of the term you are looking for

First term

The position the term is in The common

difference

Page 9: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is -7.

1 ( 1)na a n d

Example 4

a8 = 4 + (8 – 1)(-7)

a8 = 4 + (7)(-7)

a8 = -45Check this result by writing the first eight terms of the sequence:

a8 = 4 + (-49)

4, -3, -10, -17, -24, -31, -38, -45

Page 10: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Find the 14th term of the arithmetic sequence 4, 7, 10, 13,…

1 ( 1)na a n d 14a (14 1) 4 3

4 (13)3 4 39 43

Example 5

Page 11: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

1 ( 1)na a n d

In the arithmetic sequence 4, 7, 10, 13,…, which term has a value of 301?

301 4 ( 1)3n 301 4 3 3n 301 1 3n 300 3n100 n

Example 6

Page 12: SWBAT…write terms of an arithmetic sequence Tues, 4/17 Agenda 1. WU (10 min) 2. Notes on arithmetic sequences: 7 examples (35 min) Warm-Up: 1.Set up your.

Find the formula for the nth term of the arithmetic sequence -7, -4, -1, 2…

A. an = 3n – 4

B. an = -7n + 10

C. an = 3n – 10

D. an = -7n + 4

Example 7


SWBAT… solve two-step equations Agenda 1. Warm-up (10 min) 2. Review hw#3 (30 min) 3. Exit slip (5 min) Warm-Up. 1.) Re-do the quiz problems you got wrong.

SWBAT… solve two-step equations Agenda 1. Warm-up (10 min) 2. Review hw#3 (30 min) 3. Exit slip (5 min) Warm-Up. 1.) Re-do the quiz problems you got wrong.

SWBAT… define and evaluate functions Agenda 1. Warm-Up (10 min) 2. Review hw#3 & hw#4 (25 min) Warm-Up: 1.) How would the graph of y = |x| + 5 transform.

SWBAT… define and evaluate functions Agenda 1. Warm-Up (10 min) 2. Review hw#3 & hw#4 (25 min) Warm-Up: 1.) How would the graph of y = |x| + 5 transform.

SWBAT define evolution SWBAT explain Charles Darwin’s theory of evolution by natural selection in their own words SWBAT describe the role of genetic.

SWBAT define evolution SWBAT explain Charles Darwin’s theory of evolution by natural selection in their own words SWBAT describe the role of genetic.

SWBAT… review exponents Tues, 4/9 Agenda 1. WU (10 min) 2. Exponent review (25 min) Warm-Up: 1. Write your HW in your planner for the week 2. Write the.

SWBAT… review exponents Tues, 4/9 Agenda 1. WU (10 min) 2. Exponent review (25 min) Warm-Up: 1. Write your HW in your planner for the week 2. Write the.

SWBAT… review the Cartesian Coordinate system & graph linear equations using a table of values Agenda 1. WU (10 min) 2. Review Cartesian Coordinate System.

SWBAT… review the Cartesian Coordinate system & graph linear equations using a table of values Agenda 1. WU (10 min) 2. Review Cartesian Coordinate System.

Week 2. Objectives SWBAT recall and answer questions about the career information from last weeks session. SWBAT understand college match. SWBAT demonstrate.

Week 2. Objectives SWBAT recall and answer questions about the career information from last weeks session. SWBAT understand college match. SWBAT demonstrate.

Computer Arithmetic, Multiplexers Prof. Sin-Min Lee Department of Computer Science.

Computer Arithmetic, Multiplexers Prof. Sin-Min Lee Department of Computer Science.

Catalyst. Objective SWBAT explain how the periodic table is set up. SWBAT identify & calculate atomic number. SWBAT identify & calculate atomic mass

Catalyst. Objective SWBAT explain how the periodic table is set up. SWBAT identify & calculate atomic number. SWBAT identify & calculate atomic mass

SWBAT… solve two-step equations Agenda 1. Warm-up (5 min) 2. Solving two-step equations (35 min) 3. Exit slip (5 min) Warm-Up: 1. Staple your test corrections.

SWBAT… solve two-step equations Agenda 1. Warm-up (5 min) 2. Solving two-step equations (35 min) 3. Exit slip (5 min) Warm-Up: 1. Staple your test corrections.

SWBAT…solve multi-step equations Agenda 1. WU / Announcements(5 min) 2. Announcements (5 min) 3. Binder organization (10 min) 4. Quiz (15 min) Warm-Up.

SWBAT…solve multi-step equations Agenda 1. WU / Announcements(5 min) 2. Announcements (5 min) 3. Binder organization (10 min) 4. Quiz (15 min) Warm-Up.

SWBAT Agenda 1. Warm-up (10 min) 2. Review HW (15 min) 3. Notes on properties of parallelograms (20 min) Warm-Up: 1. 100 is 25% of what number? 2. 23.

SWBAT Agenda 1. Warm-up (10 min) 2. Review HW (15 min) 3. Notes on properties of parallelograms (20 min) Warm-Up: 1. 100 is 25% of what number? 2. 23.

SWBAT… solve multi-step equations Agenda 1. Warm-up (10 min) 2. Review hw#3 (10 min) 3. Work on hw#4 (20 min) Warm-Up. Solve and check each equation: 1.)

SWBAT… solve multi-step equations Agenda 1. Warm-up (10 min) 2. Review hw#3 (10 min) 3. Work on hw#4 (20 min) Warm-Up. Solve and check each equation: 1.)

Wed, 2/1 SWBAT… solve inequalities using addition, subtraction, multiplication, division Agenda 1. WU (5 min) 2. Review HW#1 (10 min) 3. Inequalities charts.

Wed, 2/1 SWBAT… solve inequalities using addition, subtraction, multiplication, division Agenda 1. WU (5 min) 2. Review HW#1 (10 min) 3. Inequalities charts.

SWBAT… Solve a systems of equations using the graphing method Tues, 1/10 Agenda 1. WU (5 min) 2. Graphing method posters (20 min) 3. Review HW #1 Warm-Up:

SWBAT… Solve a systems of equations using the graphing method Tues, 1/10 Agenda 1. WU (5 min) 2. Graphing method posters (20 min) 3. Review HW #1 Warm-Up:

Mon, 1/30 SWBAT…add, subtract polynomials and multiply a monomial by a polynomial Agenda 1. Class results (5 min) 2. Vocabulary (10 min) 3. Adding and.

Mon, 1/30 SWBAT…add, subtract polynomials and multiply a monomial by a polynomial Agenda 1. Class results (5 min) 2. Vocabulary (10 min) 3. Adding and.

SWBAT… Write lines in slope-intercept form Tues, 1/19/10 Agenda 1.WU (5 min) 2.Graphing Calculator Activity (30 min) 3.Discussion (15 min) 4.Exit slip.

SWBAT… Write lines in slope-intercept form Tues, 1/19/10 Agenda 1.WU (5 min) 2.Graphing Calculator Activity (30 min) 3.Discussion (15 min) 4.Exit slip.

SWBAT… compute problems involving zero & negative exponents Mon, 4/4 Agenda 1. WU (5 min) 2. Midterms Results/ Calendar / Reminders / Expectations (10.

SWBAT… compute problems involving zero & negative exponents Mon, 4/4 Agenda 1. WU (5 min) 2. Midterms Results/ Calendar / Reminders / Expectations (10.

Arithmetic Logic Unit ALU By: Ahmad Yazdankhah CS 147 Fall 2008 Prof: Dr. Sin-Min Lee.

Arithmetic Logic Unit ALU By: Ahmad Yazdankhah CS 147 Fall 2008 Prof: Dr. Sin-Min Lee.

SWBAT… Write lines in slope-intercept form Monday, 1/11/09 Agenda 1.WU (5 min) 2.3 examples of slope as rate of change (10 min) 3.Cornell notes on “slope-intercept.

SWBAT… Write lines in slope-intercept form Monday, 1/11/09 Agenda 1.WU (5 min) 2.3 examples of slope as rate of change (10 min) 3.Cornell notes on “slope-intercept.

SWBAT… use the Quadratic Formula to solve quadratic equations Fri, 5/10 Agenda 1. WU (15 min) 2. Quadratic Formula (30 min) Warm-Up: Given y = x 2 + 5x.

SWBAT… use the Quadratic Formula to solve quadratic equations Fri, 5/10 Agenda 1. WU (15 min) 2. Quadratic Formula (30 min) Warm-Up: Given y = x 2 + 5x.