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updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning Vocabulary inductive reasoning sequence 1
updated 5/11/2015 © Evergreen Public Schools 2010 Learning Target I can use inductive reasoning to support a conjecture. What is reasoning? 2
updated 5/11/2015 © Evergreen Public Schools 2010 LaunchLaunch Remember from last year the Tile and Toothpick Patterns? Here’s a recap. 3
updated 5/11/2015 © Evergreen Public Schools 2010 LaunchLaunch What is the area of figure 5 in the sequence? 4 Be prepared to justify your answer. Work with a partner to develop 2 justifications.
updated 5/11/2015 © Evergreen Public Schools 2010 ExploreExplore 5
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning Inductive reasoning is when you move from a set of examples to a conjecture that you think explains all the examples, as well as examples that will appear in the future. 6
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning Here’s an example. The sun came up this morning. The sun came up the day before that. Therefore, the sun comes up every day, and will come up tomorrow too. 7
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning How is the “Tile Pattern” inductive reasoning? 8
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning 9 Describe the pattern you observe. Be prepared to justify your answer.
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning What is the next number in the sequence? 10 3, 7,11, ___, 15 ___, 19 ___ 23 Describe the pattern you observe.
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning What is the next number in the sequence? 11 3, 6,12, ___, 24 ___, 48 ___ 96 Describe the pattern you observe.
updated 5/11/2015 © Evergreen Public Schools 2010 Inductive Reasoning What is the next number in the sequence? 12 1, 2,3, ___, 5 8 ___ 13 Describe the pattern you observe.
updated 5/11/2015 © Evergreen Public Schools 2010 Team Practice Use inductive reasoning to find or draw the next two terms in each sequence. 1) 2)1, 5, 14, 30, 55 3) 13
updated 5/11/2015 © Evergreen Public Schools 2010 Debrief 14 Describe inductive reasoning. Give an example.
updated 5/11/2015 © Evergreen Public Schools 2010 5 3 1 2 4 Learning Target Did you hit the target? I can use inductive reasoning to support a conjecture. 15 Rate your understanding of the target from 1 to 5. 5 is a bullseye!
updated 5/11/2015 © Evergreen Public Schools 2010 Practice 16 Your assignment for today is: Practice 2.1 Inductive Reasoning
updated 5/11/2015 © Evergreen Public Schools 2010 17 Write on your own paper. 1. What are the next 3 terms in the sequence? 48, 24, 12,____, ____, ____ 2.Describe the pattern you observe using a complete sentence. Turn in your paper.
10/28/10 ©Evergreen Public Schools Area of Regular Polygons Vocabulary: apothem.
Solve Inequalities 1 © Evergreen Public Schools 7/28/10.
12/14/2010 ©Evergreen Public Schools : Slope, Length and Midpoint Teacher Notes Notes: Review Slope Formula from Integrated 1. Use Pythagorean.
12/14/2010 ©Evergreen Public Schools : Linear Functions & More Supplies : Graphing Calculators Vocabulary : symmetric distribution skewed to.
©Evergreen Public Schools /3/2010 Compare Boxplots.
Solve Absolute Value Equations © Evergreen Public Schools 2010.
©Evergreen Public Schools /31/2011 Systems of Inequalities Teacher Notes Supplies: Notes: Vocabulary:
3/12/2016 ©Evergreen Public Schools Compare Strategies Teacher Notes You may want to make posters showing Marsha’s and Tara’s strategies to have.
©Evergreen Public Schools Learning Target I can write an equation of a geometric sequence in explicit form. What is explicit form for an arithmetic.
3/17/2011 ©Evergreen Public Schools System with Exponential Equations.
©Evergreen Public Schools Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11.
©Evergreen Public Schools /18/2011 Pairs of Angles Teacher Notes Supplies Needed: Straightedges/Rulers Protractors Patty Paper or Parchment paper.
1 ©Evergreen Public Schools /15/10 Teacher Notes This lesson is an alternative to section 5-6 Reciprocals Methodology: Multiply by common denominator.
Bell Work Copy the Diamond Problems below onto your paper. Then use the pattern you discovered to complete each one.
12/3/2010 ©Evergreen Public Schools Compare Graphs Teacher Notes Notes: The emphasis is on reading histograms, not making them. Record (on board.
2/26/2016 ©Evergreen Public Schools Pool Border Teacher Notes Supplies You might want to have available square tiles and graph paper Student Notes:
7/14/11 ©Evergreen Public Schools Using Algebra Tiles Advice: use the tiles. Vocabulary expression opposite zero pair.
©Evergreen Public Schools /18/2011 Angle Measures TOOLS: Straightedges/Rulers, Protractors Purpose: Identify, measure, draw and label an angle.
5/4/2015 ©Evergreen Public Schools Pool Border.
12/3/2010 ©Evergreen Public Schools Compare Histograms.
In Lesson 4.1.1, you looked at four different ways of representing patterns and began to find connections between them. Throughout this chapter, you will.
8/11/11 ©Evergreen Public Schools The Other Vancouver Teacher Notes Supplies note paper and calculator Vocabulary formula This lesson is intended.
©Evergreen Public Schools Explore how the measurements of two angles are related.
6/24/2010 ©Evergreen Public Schools Triangle Sum Theorem Vocabulary : flowchart theorem.
©Evergreen Public Schools /25/2011 Parallel & Perpendicular Lines Equipment Needed: Straightedges/Rulers, Protractors, and Patty Paper (or Parchment.
11/23/2010 ©Evergreen Public Schools Hollywood Budgets Teacher Notes Task : Students predict how much the movie The Hobbit will gross in the U.S.
Using Patterns and Inductive Reasoning Geometry Mr. Zampetti Unit 1, Day 3.
9/9/2011 ©Evergreen Public Schools Rate Of Change Key Concepts : rate of change slope slope formula.
©Evergreen Public Schools /31/2011 Geometric Sequences Teacher Notes Notes: Have students complete the sequence organizer in the debrief Vocabulary:
Inductive Reasoning 1-2A What do you think are basic geometry figures?
Explore: The figure shows a pattern of squares made from toothpicks. Use the figure to complete the following. Record your answers. Size of Square Toothpicks.
In Chapter 3, you studied different ways to represent patterns. You organized information into tables, graphed information about patterns, and learned.
3/17/2011 ©Evergreen Public Schools Systems with Quadratic Inequalities.
10/12/2014 ©Evergreen Public Schools Compare Strategies.
Notes 1.1. Vocabulary Conjecture: an unproven statement that is based on truths Inductive Reasoning: a process that includes looking for patterns and.
Lesson 1-1 Patterns and Inductive Reasoning. Ohio Content Standards:
1/10/11 ©Evergreen Public Schools /24/2010 ©Evergreen Public Schools Notes: 5 Methods to multiply binomials Double Distribution Stacking.
©Evergreen Public Schools Learning Target I can write and solve problems with two variables algebraically by using the elimination method. What.
1 LESSON 1.1 PATTERNS AND INDUCTIVE REASONING. 2 Objectives To find and describe patterns. To use inductive reasoning to make conjectures.
1. Distance is 5 2. (0,-4). Students will describe patterns and apply inductive reasoning. Why? So you can make predictions about real world problems,
Geometry – Lesson 1.1 Patterns and Inductive Reasoning.
©Evergreen Public Schools Learning Target Target 12 Level 3 I can write an arithmetic sequence in recursive form and translate between the explicit.
Wednesday December 11 For each rule make a table, graph, and draw figure 0, 1, and 2. A)y = 3x – 2 B)y = 2x – 3 C)y = 2x + 4.
6/24/2010 ©Evergreen Public Schools Lesson Title Teacher Notes Supplies: scientific calculators for all kids Notes: The goal for this lesson is.
©Evergreen Public Schools /1/2011 Graphing Inequalities Teacher Notes Supplies Needed : graph paper rulers calculators Northwest Gift Company Task.
You have been looking at geometric patterns and ways in which those patterns can be represented with x→y tables, graphs, and equations. In Lesson 4.1.2,
Geometry Vocabulary 1A Geometry, like much of mathematics and science, developed when people began recognizing and describing patterns. In this course,
©Evergreen Public Schools /11/2011 Arithmetic Sequences Explicit Rules Teacher Notes Notes : We will continue work students have done with arithmetic.
Chapter 5: Graphs & Functions 5.7 Describing Number Patterns.
Do Now Find the next terms in the patterns: 1, 3, 5, 7, __, __, __ ____ 32, 30, 26, 20, 12, 2, __, __, __ _________________________________________.
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