Transcript 3 m - Cobb Learning

Take out a calculator to
try to solve the following
problems on area of
composite figures.
http://www.mathslideshows.com
For Learning to Happen!
•Pay close attention to this lesson.
•This lesson is very short.
•However, this is a challenging lesson!
•It is important to follow along with the slides
so that you know how to do you know how to
calculate the area of composite figures!
http://www.mathslideshows.com
To understand
COMPOSITE FIGURES
you first must know
how to calculate
missing sides.
http://www.mathslideshows.com
What are the missing side lengths?
12 m – 9 m =
3m
9m
6m
3m
12 m
http://www.mathslideshows.com
What are the missing side lengths?
6m –3m=
3m
3m
6m
9m
3m
12 m
http://www.mathslideshows.com
What are the missing side lengths?
3 ft
10 ft – 7 ft = 3 ft
7 ft
10 ft
http://www.mathslideshows.com
What are the missing side lengths?
1 in
5 in + 3 in + 2 in + 1 in = 11 in
2 in
14 in – 11 in =
3 in
3 in
5 in
14 in
http://www.mathslideshows.com
There are multiple
methods for solving Area
of Composite Figures.
st
The 1 method I am
going to show you is
how to break it up into
simpler area problems.
http://www.mathslideshows.com
What is the total shaded area?
Area1 A  s
2
3
3m
6m
2
3m
9m

9
3 m Area 2 A  bh
 12  3  36
12 m
Total Area
http://www.mathslideshows.com
45 m
2
nd
2
The
method involves
finding an entire area
and then subtracting
smaller areas.
Pay attention you don’t
want to miss this!
http://www.mathslideshows.com
What is the total shaded area?
3m
Area1
3m
6m
9m

lw
6  12  72 m 2
3 m Area 2  l  w
12 m

Total Area
http://www.mathslideshows.com
9  3  27 m
 45 m 2
2
Find the perimeter of the figure below.
10
8
Perimeter
4
4
8
6
8 +16 +8 +10 +4 +6 +4
= 56 UNITS
16
16 – 6 = 10
http://www.mathslideshows.com
Find the area of the figure below.
Area
10
Area1  l  w
4
4
8
6
16
8

2

128
un
16  8
Area 2
lw

2
6  4  24 un
Total
2
 104 un
Area
http://www.mathslideshows.com
Find the area of the figure below.
12- 5 = 7ft
Subtract the area of the
triangle from the area of
the rectangle.
Area of the rectangle:
A = bh
A = 12
•
9=
108
9 ft
5 ft
6 ft
12 ft
Area of the triangle:
1
__
A = bh
2
1
ft2 A = __
• (6)(7)
2
1
__
A=
• 42 =
2
http://www.mathslideshows.com
21 ft2
Find the area of the figure below.
12- 5 = 7ft
Shaded area=
Area of the rectangle
– Area of the triangle
A=
9 ft
108 – 21 = 87 ft2
Area of the rectangle:
A = bh
A = 12
•
9=
108
5 ft
6 ft
12 ft
Area of the triangle:
1
__
A = bh
2
1
ft2 A = __
• (6)(7)
2
1
__
A=
• 42 =
2
http://www.mathslideshows.com
21 ft2
THE END!!!
Take out your study guide!
http://www.mathslideshows.com
#10
Area
20 m
13 m
5m
12 m
25m
Perimeter
Area1  l  w

20  12  240 m
2
bh

Area 2
2
5  12  30 m 2
P = 12 + 20 + 13 + 25
2
2
P = 70 m
Total Area
 270 m

ANOTHER WAY: Area of a Trapezoid
A = (b1 + b2) x h
2
12(25  20)

2
http://www.mathslideshows.com
 270m
2
Hello!
Thank you for downloading my Math Slideshow
Powerpoint. I have over 175 animated Math Slideshows,
225 Math Warm Ups, Study Guides, Worksheets, and
much more available on my website at
http://www.mathslideshows.com
I have attached the list below so you can see what is
available. If you teach 5th-10th grade this is the place
for you! Please check it out!
Sincerely,
Amber Pasillas
[email protected]
http://www.mathslideshows.com
http://www.mathslideshows.com
AREA FORMULAS $30
1.
2.
3.
4.
5.
6.
7.
EXPONENTS & POWERS $30
Area of a Rectangle & Square
Area of a Parallelogram & Triangle
Area of a Trapezoid
Area of a Circle Discovery WS
Area of Irregular Figures
Area of Composite Figures
Perimeter & Area Review
1.
2.
3.
4.
5.
6.
7.
DECIMALS $30
1.
2.
3.
4.
5.
6.
7.
Rounding Decimals
Add and Subtract Decimals
Add & Subtract Negative Decimals
Multiply Decimals
Divide Decimals
Multiply & Divide Negative Decimals
Decimal Place Value, Perimeter & Area
EQUATIONS $50
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Exponents Introduction
Zero and Negative Exponents
Fractions with Negative Exponents
Multiplying Exponents
Factoring, Fraction Exponents
Divide Powers, Multiply & Divide Monomials
Exponent Review
EXPRESSIONS $20
1.
2.
3.
4.
5.
Equation Introduction
Add & Subtract One Step Equations
Multiply & Divide One Step Equations
Integers and Equations WS
Solve 2 Step Equations Using Algebra Tiles WS
Solve 2 Step Equations WS
Multi-Step Equations Combine Terms Day 1
Multi-Step Equations Translate Day 2 WS
Negative Coefficient Equations
Variables On Both Sides Equations Algebra Tiles WS
Distributive Property Equations WS
Equations Review
Evaluate Algebraic Expressions
Writing Algebraic Expressions
Combing Like Terms Algebra Tiles WS
Combine Terms & Properties Review
Terms, Evaluate, Perimeter & Area
FORMULAS $15
1.
2.
3.
4.
Perimeter, Area, & Distance Formulas
Commission, Sales Tax & Leaving a Tip
Unit Analysis, Convert Units, Mass Formula
Simple Interest
http://www.mathslideshows.com
http://www.mathslideshows.com
FRACTIONS $50
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Equivalent Fractions, Simplest Form, Giant One
Mixed Numbers & Improper Fractions
LCD, Comparing Fractions
Fraction Review (Equivalent, Mixed, Compare)
Add & Subtract Fractions Same Denominator
Add & Subtract Fraction MODEL WS
Add & Subtract Unlike Denominators
Add, Subtract, & Multiply Mixed Numbers
Multiply Fraction MODEL WS
Multiply Mixed Numbers
Reciprocals
Divide Fractions
Fraction Review
Add & Subtract Negative Fraction Unlike Denomin.
Add & Subtract Negative Fraction MODEL
FRACTION, DECIMAL & PERCENT $20
1.
2.
3.
4.
5.
6.
Fractions as Decimals, Terminating & Repeating
Decimal Patterns, Repeating Decimals as Fractions WS
Percents to Decimals & Fractions
Fractions & Decimals to Percents
Fractions, Decimals & Percents Review WS
Fractions & Decimals & Percents
GRAPHING & FUNCTIONS $50
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Graphing in a Coordinate Plane
Is The Ordered Pair a Solution? WS
Function Form WS
Mystery Graph & Silent Board Game WS
Graphing Equations & Parabolas WS
x and y intercepts
Slope of a Line Day 1
Slope of a Line Day 2
Graphing Slope Review
Graphing Shortcut
y = mx + b WS
GUESS & CHECK TABLES $20
1.
2.
3.
4.
5.
Guess & Check Tables 1 WS
Guess & Check Tables 2 WS
Guess & Check Tables 3 WS
Guess & Check Tables Review WS
Guess & Check Perimeter & Area WS
HOLIDAY MATH $10
1.
2.
3.
Halloween Math WS
Thanksgiving Math WS
December Math WS
http://www.mathslideshows.com
http://www.mathslideshows.com
INEQUALITIES $25
1.
2.
3.
4.
5.
6.
Inequalities Introduction
Inequalities Add & Subtract WS
Positive Inequalities Multiply & Divide WS
Negative Inequalities WS
Two Step Inequalities
Inequality Review WS
INTEGERS $50
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Integers & Absolute Value Introduction
Add Integers Hands On MODEL
Add Integers With a Number Line
Subtract Integers Hands on MODEL WS
Subtract Integers Review
Subtract Integers With a Number Line
Slider Game Integer Review WS
Multiply Integers Day 1 WS
Multiply Integers Day 2
Divide Integers
Integer Review
MATH ART & GAMES $30
1.
2.
3.
4.
5.
6.
7.
8.
Bingo Game WS
Optical Illusions
Tessellations, MC Escher
Game of Poison
Game of Mancala
Line Designs
Networks, Leohnard Euler
Beauty of Math, Last Day of School
MULTIPLICATION $10
1.
2.
3.
Area Multiplication 1 WS
Area Multiplication 2 WS
Lattice Multiplication
NUMBER SYSTEMS $10
1.
2.
3.
4.
Compare and Order Rational Numbers
The Real Number System
Rational Numbers
Rational Number Game WS
NUMBER THEORY $20
1.
2.
3.
4.
5.
Divisibility Rules
Prime Numbers Discovery: Eratosthenes
Prime Factorization, Make a List
Greatest Common Factor
Least Common Multiple
PERCENT $30
1.
2.
3.
4.
5.
6.
7.
8.
Percent Shortcuts WS
Percent Problems, solve for %
Percent Problems (part/whole, is/of) WS
Percent of a Number
Percent of Increase or Decrease
Percent of Markup or Discount
Commission, Sales Tax & Leaving a Tip
Percent & Discount Review WS
http://www.mathslideshows.com
http://www.mathslideshows.com
PERIMETER & CIRCUMFERENCE $15
1.
2.
3.
4.
PROPERTIES $25
Perimeter of Polygons
Circumference of a Circle Discovery WS
Circumference of a Circle Review
Perimeter & Area Review
1.
2.
3.
4.
5.
6.
POINTS, LINES, PLANES & ANGLES $20
1.
2.
3.
4.
5.
Points, Lines & Planes
Angles: Acute, Right, Supplementary, Com.
Measuring Angles With a Protractor
Parallel, Perpendicular & Skew Lines
Angles: Adjacent & Vertical, Transversal
RATIOS & PROPORTTIONS $30
POLYGONS & CIRCLES $15
1.
2.
3.
4.
Classifying Triangles: Acute, Right & Obtuse
Quadrilaterals Introduction
Circles Introduction
Congruent Polygons
PROBABILITY $15
1.
2.
3.
4.
5.
Probability Introduction
Experimental Probability: Coin Toss WS
Probability: Roll & Add Two Dice WS
Probability Game: Rock, Paper & Scissors WS
Probability of Compound Events
PROBLEM SOLVING $5
1.
2.
Problem Solving
Problem Solving Strategies
Order of Operations 1
Order of Operations 2
Commutative, Associative & Identity Properties
Distributive Property Generic Rectangles WS
Combine Terms & Properties Review
Equations & Inverse Property
1.
2.
3.
4.
5.
6.
7.
8.
9.
Ratio, Rates & Unit Rate
Unit Rate & Unit Price
Writing Proportions
Dimensional Analysis Converting Units
Proportions Review
Similar Figures
Indirect Measurement
Unit Rate, Unit Analysis, Missing Units
Scale Drawings
SCIENTIFIC NOTATION $5
1.
2.
Scientific Notation Day 1
Scientific Notation Day 2
SQUARES, SQUARE ROOT, PYTHAGOREAN $20
1.
2.
3.
4.
5.
Square and Square Root
Estimating Square Roots
Discover Pythagorean Theorem WS
Pythagorean Theorem Day 2
Converse of Pythagorean Theorem
http://www.mathslideshows.com
http://www.mathslideshows.com
SURFACE AREA & VOLUME $50
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Three Dimensional Figures
Volume of a Prism
Volume of a Cylinder WS
Volume of a Pyramid or Cone
Make a Net of a Rectangular Prism WS
Surface Area of Prisms Day 1
Surface Area of Prisms Day 2
Surface Area of a Square Pyramid
Surface Area and Volume of a Sphere
Surface Area and Volume Review
Formulas You Need To Know WS
TYPES OF GRAPHS $20
1.
2.
3.
4.
5.
Stem & Leaf and Line Plots
Calculating The Mean
Mean, Median, Mode, & Range
Box and Whisker Plots
Scatter Plots and Correlation
CREATED BY: Amber Pasillas
TO ORDER: http://www.mathslideshows.com
E-MAIL: [email protected]
PHONE: (530) 893-5239
BEST DEAL
All math slideshow lessons
$300 = listed above & worksheets.
If your slideshow has blank boxes in it, you need to download MathType software. It
allows you to see all math formulas correctly. This software is similar to equation
editor and is available for free at
Design Science website
http://www.mathslideshows.com