EXAMPLE 1 Describe a visual pattern

Slides:

Advertisements

Similar presentations

2.1 Inductive Reasoning Ojectives:

Advertisements

The Border Problem The Border Problem Finding Patterns and Expressing Patterns A Kern High School District Anchor Task.

EXAMPLE 4 Extending a Visual Pattern Hawaiian Leis A Hawaiian lei is a flower wreath given to symbolize friendship. What are the next three flowers in.

Mathematics as a Second Language Mathematics as a Second Language Mathematics as a Second Language © 2007 Herbert I. Gross An Innovative Way to Better.

We have added and subtracted fractions. In this lesson we will multiply fractions. When we add and subtract fractions, we count how many of the same size.

8-8 Geometric Patterns Warm Up Divide. 1. What is the sum of the angle measures in a quadrilateral? 2. What is the sum of the angle measures in a hexagon?

EXAMPLE 3 Sketch intersections of lines and planes a. Sketch a plane and a line that is in the plane. b. Sketch a plane and a line that does not intersect.

Chapter 5 Linear Inequalities and Linear Programming Section 2 Systems of Linear Inequalities in Two Variables.

Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

EXAMPLE 4 Graph a translated square root function Graph y = –2 x – Then state the domain and range. SOLUTION STEP 1 Sketch the graph of y = –2 x.

2.6 Linear Inequalities in Two Variables

Inequalities in One Variable.  Use the same process for solving an equation with TWO exceptions: ◦ 1) Always get the variable alone on the LEFT side.

2.1 Use Inductive Reasoning Describe patterns and use inductive reasoning skills.

Is there anything invariant about circles?. Bell Ringer CDCD Compare the ratio of the circumference to the diameter C = 9.42 D = 3 C =

Folding Paper How many rectangles?

2015 The Institute for the Professional Development of Adult Educators Using Fraction Tiles

Unit 3: Fractions Dividing Fractions and Whole Numbers.

EXAMPLE 1 Describe a visual pattern Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure. SOLUTION Each circle is divided.

Warm-Up Exercises 1. Find the length of a segment with endpoints A(1, –3) and B(–2, –7). ANSWER (0, –4) 2. If M(4, –3) is the midpoint of RS, and the coordinates.

2.1 Use Inductive Reasoning

EXAMPLE 3 Write an equation of a translated parabola Write an equation of the parabola whose vertex is at (–2, 3) and whose focus is at (–4, 3). SOLUTION.

Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.

1 Fractions Decimals Percents ¼.25 25%. What are fractions, decimals,and percents? Fractions, decimals and percents are different ways of representing.

Divisibility Rules. Skip Counting 1)Skip count by 3 from 3. 2)Skip count by 5 from 65. 3)Skip count by 10 from )Skip count by 6 from 138.

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 3.6, Slide 1 Chapter 3 Systems of Linear Equations.

Prerequisite Skills VOCABULARY CHECK

Solve the equation for y. SOLUTION EXAMPLE 2 Graph an equation Graph the equation –2x + y = –3. –2x + y = –3 y = 2x –3 STEP 1.

Example 1 Writing Powers Write the product as a power and describe it in words. a. 44= to the second power, or 4 squared 9 to the third power,

Write a function rule for a graph EXAMPLE 3 Write a rule for the function represented by the graph. Identify the domain and the range of the function.

Chapter 3 Section 3.7 Graphing Linear Inequalities.

2.1 Inductive Reasoning Objectives: I CAN use patterns to make conjectures. disprove geometric conjectures using counterexamples. 1 Serra - Discovering.

Section 3-3: Graphing Inequalities Pages in textbooks.

Applications of Integration 7 Copyright © Cengage Learning. All rights reserved.

EXAMPLE 3 Make a conjecture

2.1 Use inductive reasoning You will describe patterns and use inductive reasoning. Essential Question: How do you use inductive reasoning in mathematics?

Ellipses When circles go wild. (9.3). POD Give the center and radius for this circle. x 2 + y 2 – 6x – 4y – 12 = 0.

Linear Equations / Inequalities – graphing the solution set

How much is one half of one half?

Chapter 5 Linear Inequalities and Linear Programming

2.1 Inductive Reasoning Essential Question:

Basics of Geometry Chapter 1.

How to Identify Fractions

Density Curves, mean and median

Lesson 6.1 – 6.2 How do you solve and graph inequalities using addition and subtraction? Solve the inequality by adding, subtracting, multiplying or dividing.

Chapter 2: Reasoning in Geometry

8-8 Geometric Pattern Warm Up Problem of the Day Lesson Presentation

What fraction is marked on the number line by the letter A?

Geometric Patterns Name: ___________________________

Describe the pattern in the numbers 5.01, 5.03, 5.05, 5.07,…

Dividing Fractions Using Pictures!

A statement made based on observations

Each of the numbers from 1 to 9 is placed, one per circle, into the pattern shown. The sums along each of the four sides are equal. How many different.

2.1 Inductive Reasoning Objectives:

3 ÷ ¼ = 12 Dividing Fractions

How do we solve quadratic inequalities?

Patterns & Inductive Reasoning

How much is one half of one half?

75 previous answer What is of 37.5? ? go to.

2.1 Use Inductive Reasoning

2-1 Use Inductive Reasoning

This is a whole set of apples.

Warm Up On Sunday Miguel wanted to make brownies for his mom. The recipe called for ¾ cups of sugar to make 12 brownies, but Miguel only wants to make.

75 previous answer What is of 60? ? go to.

Perspective Sketching

Presentation transcript:

EXAMPLE 1 Describe a visual pattern Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure. SOLUTION Each circle is divided into twice as many equal regions as the figure number. Sketch the fourth figure by dividing a circle into eighths. Shade the section just above the horizontal segment at the left.

EXAMPLE 2 Describe a number pattern Describe the pattern in the numbers –7, –21, –63, –189,… and write the next three numbers in the pattern. Notice that each number in the pattern is three times the previous number. Continue the pattern. The next three numbers are –567, –1701, and –5103. ANSWER

GUIDED PRACTICE for Examples 1 and 2 1. Sketch the fifth figure in the pattern in example 1. Graphic Required ANSWER

GUIDED PRACTICE for Examples 1 and 2 Describe the pattern in the numbers 5.01, 5.03, 5.05, 5.07,… Write the next three numbers in the pattern. 2. 5.13 Notice that each number in the pattern is increasing by 0.02. 5.11 +0.02 5.09 5.07 5.05 5.03 5.01 Continue the pattern. The next three numbers are 5.09, 5.11 and 5.13 ANSWER