Algebra 1 Predicting Patterns & Examining Experiments Unit 6: Around the Plane Section 5: Take Your Best Shot.

Slides:



Advertisements
Similar presentations
Probability & The Fundamental Counting Principle Lesson 23.
Advertisements

Geometric Probability.  Probability is the chance that something will happen.
Created By Alan Williams
Understanding Ratios Number a paper from one to 15 and find these ratios.
35 cm 40 cm Area of rectangle = length × breadth Area of cardboard = 40 cm × 35 cm = 1400 cm² Area of picture = 30 cm × 25 cm = 750 cm² Area of cardboard.
Modeling Multiplication of a Fraction by a Mixed Number
EXAMPLE 3 Use areas to find a geometric probability The diameter of the target shown at the right is 80 centimeters. The diameter of the red circle on.
EXAMPLE 3 Use areas to find a geometric probability The diameter of the target shown at the right is 80 centimeters. The diameter of the red circle on.
Geometric Probability
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 9-3 Perimeter, Area, and Circumference.
MCHS ACT Review Plane Geometry. Created by Pam Callahan Spring 2013 Edition.
Section 9-4 Perimeter, Area, and Circumference.
Are you prepared?. Find the perimeter and the area of the figure below.
2.8 – Circles. TermPictureFormula Circumference r = radius d = diameter.
Relations & Functions (x,y)y) DR ID 1. Relations & Functions Test administrator: Before administration begins, show students the front of this card and.
Thursday, April 17, 2014MAT 312. Thursday, April 17, 2014MAT 312.
A4 This is just another rectangle of the same proportions. 1.What are the ratios between the sizes of the various rectangles on this page? Write these.
Fraction Multiplication. There are 3 approaches for modeling fraction multiplication u A Fraction of a Fraction  Length X Width = Area u Cross Shading.
4.5: Geometric Probability p M(DSP)–10–5 Solves problems involving experimental or theoretical probability. GSE’s Primary Secondary GSE’s M(G&M)–10–2.
Geometry Geometric Probability. October 25, 2015 Goals  Know what probability is.  Use areas of geometric figures to determine probabilities.
Unit 9: Probability, Statistics and Percents Section 1: Relative Frequency and Probability The frequency of something is how often it happens Relative.
Geometry 9-6 Geometric Probability. Example Find the probability that a point chosen randomly in the rectangle will be: Inside the square. 20 ft 10 ft.
Section 11-5 Areas of Circles and Sectors. Area of a Circle The area of a circle is times the square of the radius. Formula:
5-Minute Check on Lesson 11-4 Transparency 11-5 Click the mouse button or press the Space Bar to display the answers. Find the area of each figure. Round.
DO NOW!!! (1 st ) 1.A rectangular prism has length 4 cm, width 5 cm, and height 9 cm. a) Find the area of the cross section parallel to the base. b) Find.
Lesson 5 Menu 1.Find the area of the figure. Round to the nearest tenth if necessary. 2.Find the area of the figure. Round to the nearest tenth if necessary.
Area: Parallelograms, Rectangles, Squares and Trapezoids.
Chapter 4 Section : Patterns of Heredity
Lecture #2 Applying Mendel’s Principles Unit: Mendelian Genetics.
Tuesday, April 15, 2014MAT 312. Tuesday, April 15, 2014MAT 312.
© T Madas. Find the mean percentage mark of 37%, 42%, 68%, 55% and 39%. Find of Find 7% of 675. Find the area of a triangle with base of 1.25.
Multiplying Whole Numbers and Area Section = 5 x 4 = 20 5 fours factor product Multiplication is repeated addition with a different.
Introduction to Algebra Tiles. There are 3 types of tiles...
Area & Perimeter. Area Area: The space that an object covers. We measure this by multiplying the length of one side by the width of one side. For example:
Repeating patterns Can you work out the next shape in the pattern?
Inscribed and Circumscribed Circles Dr. Jason Gershman.
Geometric Probability Probability Recall that the probability of an event is the likelihood that the event will occur.
How likely is something to happen..  When a coin is tossed, there are two possible outcomes: heads (H) or tails (T) We say the probability of a coin.
Pre-Algebra Chapter 10a Review. Chapter 10a Review 1) Find the perimeter and area of each figure a) b)Rectangle with length 4m and width 0.5m. 1.5 in.
How many …?. What shape can you see? I can see some _____. Q1 Q1 stars.
Bell Work: Simplify -(-4) + (-2) + (-(-6)) -(+4) – (-5) + 5 – (-3) + (-6)
JIM SMITH JCHS SPI THE PROBABILITY THAT SOMETHING WILL HAPPEN IS THE NUMBER OF SUCCESSFUL OUTCOMES OVER THE TOTAL NUMBER OF OUTCOMES.
G-11 (1-5) Using formulas in Geometry I can use formulas to compute perimeter and area of triangles, squares, rectangles, and circles.
8th Grade Math Chapter 9a Review
Perimeter, Area, and Circumference
Measurement Warm-up Stringing Lights Powerpoint Squaring a Circle
Geometric Probability
Core Focus on Ratios, Rates and Statistics
Lecture #2 Applying Mendel’s Principles Unit: Mendelian Genetics
Area (compound figure)
Literacy Research Memory Skills Stretch Area
To make a ratio… Chance of the event total number
ALGEBRA JEOPARDY Review of Factoring.
LESSON 31 Areas of Rectangles.
EVERYTHING YOU NEED TO KNOW TO GET A GRADE C
Chapter 1 Section 1.7 Area and Perimeter.
Chapter 1 Section 1.7 Area and Perimeter.
A What is the ratio of Area to Width of rectangle A? A W 4 u 20 u2
Class Greeting.
Area, Geometric Probability and Probability review problems
Number a paper from one to 15 and find these ratios.
Unit 9. Day 8..
Connecting Algebra Tiles to Integer Tiles
Cross Sections of Three-Dimensional Figures
Bell Work What is a slice?
Finding the area of fractional side lengths
Modelling Multiplication of Fractions
Cross Sections of Three-Dimensional Figures
Can you work out the next shape in the pattern?
Can you work out the next shape in the pattern?
Presentation transcript:

Algebra 1 Predicting Patterns & Examining Experiments Unit 6: Around the Plane Section 5: Take Your Best Shot

What percentage of the area of the big rectangle is NOT covered by the shaded squares?

Area of the Big Rectangle = 106 = 60 square units What percentage of the area of the big rectangle is NOT covered by the shaded squares?

Area of the Big Rectangle = 106 = 60 square units Area of each Small Rectangle = 33 = 9 square units Area of both Small Rectangles = 18 square units Area of the Big Rectangle = 106 = 60 square units Area of each Small Rectangle = 33 = 9 square units Area of both Small Rectangles = 18 square units What percentage of the area of the big rectangle is NOT covered by the shaded squares?

Area of the Big Rectangle = 106 = 60 square units Area of each Small Rectangle = 33 = 9 square units Area of both Small Rectangles = 18 square units Area of the Big Rectangle = 106 = 60 square units Area of each Small Rectangle = 33 = 9 square units Area of both Small Rectangles = 18 square units What percentage of the area of the big rectangle is NOT covered by the shaded squares? Percentage NOT covered:

Area of the Big Rectangle = 106 = 60 square units Area of each Small Rectangle = 33 = 9 square units Area of both Small Rectangles = 18 square units Area of the Big Rectangle = 106 = 60 square units Area of each Small Rectangle = 33 = 9 square units Area of both Small Rectangles = 18 square units What percentage of the area of the big rectangle is NOT covered by the shaded squares? Percentage NOT covered: The big rectangle is 70% uncovered by the small squares.

Probability is how likely something is to happen. Probability is a ratio of Probability is how likely something is to happen. Probability is a ratio of On Probability

Probability is how likely something is to happen. Probability is a ratio of Probability is how likely something is to happen. Probability is a ratio of On Probability In this case, I could ask, “What is the probability that a dart thrown at the rectangle will hit in an unshaded portion on the rectangle?

Probability is how likely something is to happen. Probability is a ratio of Probability is how likely something is to happen. Probability is a ratio of On Probability In this case, I could ask, “What is the probability that a dart thrown at the rectangle will hit in an unshaded portion on the rectangle? The answer would be that there is a 70% chance of that happening, or a chance.

What is the probability of landing within a circle? 10 15

Area of the big rectangle: 1510 = 150 square units What is the probability of landing within a circle? 10 15

Area of the big rectangle: 1510 = 150 square units Area of one circle =... Area of the big rectangle: 1510 = 150 square units Area of one circle =... What is the probability of landing within a circle? r

Area of the big rectangle: 1510 = 150 square units Area of one circle =... Area of the big rectangle: 1510 = 150 square units Area of one circle =... What is the probability of landing within a circle? r Notice: 4r = 10

Area of the big rectangle: 1510 = 150 square units Area of one circle =... Area of the big rectangle: 1510 = 150 square units Area of one circle =... What is the probability of landing within a circle? r Notice: 4r = 10 Therefore r =2.5

Area of the big rectangle: 1510 = 150 square units Area of one circle = Area of the big rectangle: 1510 = 150 square units Area of one circle = What is the probability of landing within a circle?

Area of the big rectangle: 1510 = 150 square units Area of one circle = Area of all six circles = Area of the big rectangle: 1510 = 150 square units Area of one circle = Area of all six circles = What is the probability of landing within a circle? Probability of landing in a circle:

Area of the big rectangle: 1510 = 150 square units Area of one circle = Area of all six circles = Area of the big rectangle: 1510 = 150 square units Area of one circle = Area of all six circles = What is the probability of landing within a circle? Probability of landing in a circle: There is a % chance of landing within a circle.

The Swedish flag measures 3’4” by 5’4”. The width of the cross is 7.2”. What percentage of the flag does the cross cover? What percentage of the flag is the cross?

7.2” The Swedish flag measures 3’4” by 5’4”. The width of the cross is 7.2”. What percentage of the flag does the cross cover? What percentage of the flag is the cross?

7.2” The Swedish flag measures 3’4” by 5’4”. The width of the cross is 7.2”. What percentage of the flag does the cross cover? What percentage of the flag is the cross? Area of the whole flag = 2560 square inches Area of the whole flag = 2560 square inches 40” 64”

7.2” The Swedish flag measures 3’4” by 5’4”. The width of the cross is 7.2”. What percentage of the flag does the cross cover? What percentage of the flag is the cross? Area of the whole flag = 2560 in Area of the whole flag = 2560 in Total Area of Cross = in Total Area of Cross = in 7.2” 60” 40” 64” (40–7.2)” = 32.8” 2 2

7.2” The Swedish flag measures 3’4” by 5’4”. The width of the cross is 7.2”. What percentage of the flag does the cross cover? What percentage of the flag is the cross? Area of the whole flag = 2560 in Area of the whole flag = 2560 in Total Area of Cross = in Total Area of Cross = in 7.2” 60” 40” 64” (40–7.2)” = 32.8” 2 2 Percentage of cross:

7.2” The Swedish flag measures 3’4” by 5’4”. The width of the cross is 7.2”. The cross covers 26.1% of the flag. What percentage of the flag is the cross? Area of the whole flag = 2560 in Area of the whole flag = 2560 in Total Area of Cross = in Total Area of Cross = in 7.2” 60” 40” 64” (40–7.2)” = 32.8” 2 2 Percentage of cross: