Algebra 1 Unit 1 Review. A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Complete the table. Stage 3 Write a recursive rule to describe the pattern.

Slides:

Advertisements

Similar presentations

11.5 Recursive Rules for Sequences p Explicit Rule A function based on a term’s position, n, in a sequence. All the rules for the nth term that.

Advertisements

OBJECTIVE We will find the missing terms in an arithmetic and a geometric sequence by looking for a pattern and using the formula.

RECURSIVE PATTERNS WRITE A START VALUE… THEN WRITE THE PATTERN USING THE WORDS NOW AND NEXT: NEXT = NOW _________.

7.5 Use Recursive Rules with Sequences and Functions

Arithmetic Sequences Section 4.5. Preparation for Algebra ll 22.0 Students find the general term and the sums of arithmetic series and of both finite.

Transparency 7 Click the mouse button or press the Space Bar to display the answers.

Find a Pattern in Sequences

Lesson 1-9 Algebra: Arithmetic Sequences

Lesson 4-4: Arithmetic and Geometric Sequences

Math-7 NOTES DATE: ______/_______/_______ What: sequences

4-5 Find a Pattern in Sequences

Video can be viewed at:

11.5 = Recursion & Iteration. Arithmetic = adding (positive or negative)

Arithmetic Sequences Standard: M8A3 e. Use tables to describe sequences recursively and with a formula in closed form.

5-4 Sequences Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Patterns and Sequences

Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in.

Math 3 - Module 6 Honors Topics.

Homework Questions. Geometric Sequences In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio.

Arithmetic and Geometric

Arithmetic Sequence Application

Acc. Coordinate Algebra / Geometry A Day 36

Algebra II Chapter : Use Recursive Rules with Sequences and Functions HW: p (4, 10, 14, 18, 20, 34)

Algebra n th Term. Algebra When we are working to find the n th term we are looking to find patterns in number sequences.

Module 3 Test Review. Using the sequence 9, 14, 19, 24…  Write the Recursive Form:  Answer f(n) = f(n-1) + 5  Write the Explicit Form:  Answer f(n)

Arithmetic Sequences Sequence is a list of numbers typically with a pattern. 2, 4, 6, 8, … The first term in a sequence is denoted as a 1, the second term.

Objective: Learn to describe the relationships and extend the terms in arithmetic sequence.

Arithmetic and Geometric Sequences. Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning. 1. 7, 13, 19, 25, …2.

11.3 – Geometric Sequences. What is a Geometric Sequence?  In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called.

+ Lesson 3B: Geometric Sequences + Ex 1: Can you find a pattern and use it to guess the next term? A) 3, 9, 27, … B) 28, 14, 7, 3.5,... C) 1, 4, 9, 16,...

Arithmetic Sequences. Arithmetic sequence Before talking about arithmetic sequence, in math, a sequence is a set of numbers that follow a pattern. We.

Lesson 3A: Arithmetic Sequences Ex 1: Can you find a pattern and use it to guess the next term? A) 7, 10, 13, 16,... B) 14, 8, 2, − 4,... C) 1, 4, 9,

11.5 Recursive Rules for Sequences p What is a recursive rule for sequences? What does ! mean in math?

Warm up Write the exponential function for each table. xy xy

Bellwork 1) 11, 7, 3, -1,… a) Arithmetic, Geometric, or Neither? b) To get the next term ____________ 1) 128, 64, 32, 16,… a) Arithmetic, Geometric, or.

Recursive vs. Explicit. Arithmetic Sequence – Geometric Sequence – Nth term – Recursive – Explicit –

Over Lesson 7–7 5-Minute Check 1 Describe the sequence as arithmetic, geometric or neither: 1, 4, 9, 16, …? Describe the sequence as arithmetic, geometric,

Algebra II Appendix A Test Review Study Team Strategy: Hot Seat.

Unit 4: Sequences & Series 1Integrated Math 3Shire-Swift.

Arithmetic and Geometric Sequences.

Review Find the explicit formula for each arithmetic sequence.

Geometric and arithmetic sequences

Arithmetic Sequences Explicit Formulas.

Warm up f(x) = 3x + 5, g(x) = x – 15, h(x) = 5x, k(x) = -9

The symbol for summation is the Greek letter Sigma, S.

Find a Pattern in Sequences

Patterns & Sequences Algebra I, 9/13/17.

Module 1 Day 1 Evaluating Functions.

Sequences Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, or neither. 7, 11, 15, 19, … 7, 11, 15, 19, … Answer:

Arithmetic Sequence Application

7-8 Notes for Algebra 1 Recursive Formulas.

Warm up Write the exponential function for each table. x y x

Number Patterns Name: ______________________________

Notes Over 11.5 Recursive Rules

Do Now Complete the table..

Arithmetic Sequence Objective:

Warm up f(x) = 3x + 5, g(x) = x – 15, h(x) = 5x, k(x) = -9

Chapter 12 Review Each point your team earns is extra points added to your score on the upcoming test.

Homework Questions.

Module 3 Arithmetic and Geometric Sequences

EOC Practice Alex started a business making bracelets. She sold 30 bracelets the first month. Her goal is to sell 6 more bracelets each month than she.

Write the recursive and explicit formula for the following sequence

8.5 Using Recursive Rules with Sequences

Module 3 Arithmetic and Geometric Sequences

Arithmetic Sequence Application

15.) sequence 16.) term of a sequence 17.) arithmetic sequence

Lesson 6.7 Recursive Sequences

Presentation transcript:

Algebra 1 Unit 1 Review

A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Complete the table. Stage 3 Write a recursive rule to describe the pattern of branches added. Stage# of branches added Algebra 1 – Unit 1 Review

ANSWER A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Complete the table. Stage 3 Stage# of branches added Write a recursive rule to describe the pattern of branches added. Start with 1, then double for each successive stage. Algebra 1 – Unit 1 Review

A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Is this pattern arithmetic or geometric? Stage 3 Write an explicit rule for the number of branches, b, added in each stage, n. Stage# of branches added Algebra 1 – Unit 1 Review

ANSWER A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Is this pattern arithmetic or geometric? Stage 3 Write an explicit rule for the number of branches, b, added in each stage, n. Stage# of branches added geometric b = 2 n Algebra 1 – Unit 1 Review

Bob the biologist counted the fish population over a period of time in two different ponds. Complete each table. Write a recursive rule for each population. Apricot Pond Year # of fish Great Grape Pond Year # of fish

ANSWER Algebra 1 – Unit 1 Review Bob the biologist counted the fish population over a period of time in two different ponds. Complete each table. Write a recursive rule for each population. Apricot Pond Year # of fish Great Grape Pond Year # of fish Apricot Pond: start at 100, then add 300 for the next year. Great Grape Pond: start at 20, then triple for the next year.

Owen sells ornamental owls. He ships all sizes of his carefully crafted birds of prey. The cost to ship one depends on its weight. His shipping company charges him a base fee of $5.00, then an additional $0.50 for each additional pound. Using c for cost and w for weight, write an explicit rule for the total cost. How much would it cost to ship a 25 lb owl? Algebra 1 – Unit 1 Review

ANSWER Algebra 1 – Unit 1 Review Owen sells ornamental owls. He ships all sizes of his carefully crafted birds of prey. The cost to ship one depends on its weight. His shipping company charges him a base fee of $5.00, then an additional $0.50 for each additional pound. Using c for cost and w for weight, write an explicit rule for the total cost. How much would it cost to ship a 25 lb owl? c = w c = (25) = $17.50

Katee is decorating her math binder with stickers. She starts with a center square, then adds stickers around all the edges. Stage 1 Stage 2Stage 3 Stage 4 Stage# of stickers added # of total stickers Is the number of stickers added an arithmetic sequence, geometric sequence, or neither? Is the number of total stickers an arithmetic sequence, geometric sequence, or neither? Algebra 1 – Unit 1 Review

ANSWER Katee is decorating her math binder with stickers. She starts with a center square, then adds stickers around all the edges. Stage 1 Stage 2Stage 3 Stage 4 Stage# of stickers added # of total stickers Is the number of stickers added an arithmetic sequence, geometric sequence, or neither? Is the number of total stickers an arithmetic sequence, geometric sequence, or neither? Algebra 1 – Unit 1 Review