Iterative Process. A process of repeating the same procedure over and over again.A process of repeating the same procedure over and over again.

Slides:

Advertisements

Similar presentations

Daily Check Find the first 3 terms of the following sequence:

Advertisements

13.2 Arithmetic & Geometric Sequences Today’s Date: 5/1/14.

Holt Geometry 12-Ext Using Patterns to Generate Fractals 12-Ext Using Patterns to Generate Fractals Holt Geometry Lesson Presentation Lesson Presentation.

1 Section 9.2 Tree Applications. 2 Binary Search Trees Goal is implementation of an efficient searching algorithm Binary Search Tree: –binary tree in.

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

13.2: Arithmetic and Geometric Sequences Recursive Definitions.

Patterns. PATTERNS A pattern constitutes a set of numbers or objects in which all the members are related with each other by a specific rule. It is also.

Notes Over 11.3 Geometric Sequences

An Introduction to Fractals By: Brian Feuer What is a Fractal? A word coined by Benoit Mandelbrot in 1975 to describe shapes that are “self-similar”

Explicit, Summative, and Recursive

13.2 Recursive Definitions Objective 1) Provide the recursive definition for sequences; 2) Identify the type of a sequence from a recursive definition.

F—06/11/10—HW #79: Pg 663: 36-38; Pg 693: odd; Pg 671: 60-63(a only) 36) a(n) = (-107\48) + (11\48)n38) a(n) = – 4.1n 60) 89,478,48562) -677,985,854.

Yesterday, we generated the formula for the sum of an arithmetic sequence. Today, we will use the same approach to determine the formula for the sum of.

Review of Sequences and Series.  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, ….

Ch.9 Sequences and Series Section 3 – Geometric Sequences.

Arithmetic and Geometric

Acc. Coordinate Algebra / Geometry A Day 36

Geometric Sequences & Series

Standard Accessed: Students will analyze sequences, find sums of series, and use recursive rules.

Math 20-1 Chapter 1 Sequences and Series

Infinite Geometric Series Recursion & Special Sequences Definitions & Equations Writing & Solving Geometric Series Practice Problems.

Warm Up  Name the geometric figures below and identify whether they are defined or undefined.

Daily Check 1)Find the first 3 terms of the following sequence: 2)Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10.

Sequences and Series Explicit, Summative, and Recursive.

Review of Sequences and Series

7-8 Geometric Sequences. Geometric Sequence Problem 1: Identifying Geometric Sequence Which of the following are geometric sequences? 20, 200, 2000,

Lesson 11.4 Geometric Sequences. Warm Up ½ A geometric sequence is a sequence in which the ratio of successive terms is the same number, r, called.

9.3 Geometric Sequences and Series. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio.

Fractals Lesson 6-6.

Arithmetic Sequences Recognize and extend arithmetic sequences.

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

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

Lesson 91 Warm Up Pg. 474.

Recognize and extend arithmetic sequences

Homework Check.

Unit 6: Sequences & Series

Iterative Mathematics

Model Construction cgvr.korea.ac.kr.

Iterative Mathematics

sequences: Using Explicit and recursive formulas

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

SEQUENCES AND SERIES.

Lesson 13 – 2 Arithmetic & Geometric Sequences

Sequences and Series.

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

Geometric Sequences.

Homework Check.

Homework Review.

30 A 30 B 30 C 30 D 30 E 77 TOTALS ORIGINAL COUNT CURRENT COUNT

6.8B– Sum of a Geometric Series

Notes Over 11.5 Recursive Rules

Number and geometric patterns

Recursive Sequences Objective: Students will be able to identify a recursive sequence and solve problems pertaining to them.

Warm-Up Find the sum of the infinite geometric series, if it exists.

7.3 Use Similar Right Triangles

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

Homework Check.

The structure of programming

Module 3 Arithmetic and Geometric Sequences

Write the recursive and explicit formula for the following sequence

Homework: Explicit & Recursive Definitions of

Advanced Geometry 8-2 Similarity

Module 3 Arithmetic and Geometric Sequences

Thinking procedurally

Warm Up Write the first 4 terms of each sequence:

Geometric Sequences and Series

Add to your notes Corollaries

Presentation transcript:

Iterative Process

A process of repeating the same procedure over and over again.A process of repeating the same procedure over and over again.

What is a FRACTAL? A repeating pattern. – a, geometric figure that is generally created using an iterative process. They are made of SELF – SIMILAR shapes. As the shape becomes smaller, they keep the same geometric characteristics as the original shape. Examples. Model plants, trees, economies, honeycomb pattern, vein pattern in a leaf

Algorithm  a procedure or set of rules for solving a problem Example. Develop an algorithm to sort the members of your class by height. This process is an iterative process because it involves repeating the same set of steps throughout the algorithm.

→ Arrow diagrams can be used to illustrate iterations. This shows the sequence of steps. →Tree Diagram – Each option creates a branch Example: How many different outcomes are there for a best of 7 series between the Toronto Raptors and the L.A. Lakers. Count up the number of outcomes when you finish the tree diagram.

Recursive Formula  defines a sequence of numbers. Similar to sequences and series If t n = 3t n-1 - t n-2 and t 1 = 1, t 2 = 3, find the next 3 terms in the sequence. Homework pg 10 # 1, 3, 4, 5, 9, 10