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Take out a calculator to try to solve the following problems on area of composite figures.

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Presentation on theme: "Take out a calculator to try to solve the following problems on area of composite figures."— Presentation transcript:

1 http://www.mathslideshows.com Take out a calculator to try to solve the following problems on area of composite figures.

2 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!

3 http://www.mathslideshows.com To understand COMPOSITE FIGURES you first must know how to calculate missing sides.

4 What are the missing side lengths ? 12 m 6 m 3 m 9 m 3 m 12 m– 9 m =

5 http://www.mathslideshows.com What are the missing side lengths ? 12 m 6 m 3 m 9 m 3 m 6 m– 3 m =

6 http://www.mathslideshows.com What are the missing side lengths ? 10 ft 7 ft 3 ft 10 ft – 7 =

7 http://www.mathslideshows.com What are the missing side lengths ? 1 in 2 in 3 in 14 in 5 in 3 in 5 in+ 3 in+ 2 in+ 1 in = 11 in 14 in– 11 in =

8 http://www.mathslideshows.com There are multiple methods for solving Area of Composite Figures. The 1 st method I am going to show you is how to break it up into simpler area problems.

9 What is the total shaded area ? 12 m 6 m 3 m 9 m 3 m

10 http://www.mathslideshows.com The 2 nd method involves finding an entire area and then subtracting smaller areas. Pay attention you don’t want to miss this!

11 What is the total shaded area ? 12 m 6 m 3 m 9 m 3 m

12 http://www.mathslideshows.com Find the perimeter of the figure below. Perimeter 4 8 16 6 8 4 10 8+16 +8+10+4+6 +4 = 56 UNITS 16 – 6 = 10

13 http://www.mathslideshows.com Find the area of the figure below. Area 4 8 16 6 8 4 10

14 http://www.mathslideshows.com Find the area of the figure below. A = bh A = 12 9 Area of the rectangle: Area of the triangle: A = bh 1 2 __ A = (6)(7) 1 2 __ A = 42 1 2 __ Subtract the area of the triangle from the area of the rectangle. 5 ft 12 ft 6 ft 9 ft 12- 5 = 7ft = 21 ft 2 = 108 ft 2

15 http://www.mathslideshows.com Find the area of the figure below. A = bh A = 12 9 Area of the rectangle: Area of the triangle: A = bh 1 2 __ A = (6)(7) 1 2 __ A = 42 1 2 __ 5 ft 12 ft 6 ft 9 ft 12- 5 = 7ft = 21 ft 2 = 108 ft 2 Shaded area= Area of the rectangle – Area of the triangle A = 108 – 21 = 87 ft 2

16 http://www.mathslideshows.com THE END!!! Take out your study guide!

17 http://www.mathslideshows.com #10 20 m 12 m 13 m Perimeter Area P = 12 + 20 + 13 + 25 P = 70 m 5 m 25m ANOTHER WAY: Area of a Trapezoid A = (b 1 + b 2 ) x h 2

18 http://www.mathslideshows.com 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 5 th -10 th grade this is the place for you! Please check it out! Sincerely, Amber Pasillas amberpasillas@yahoo.com

19 http://www.mathslideshows.com AREA FORMULAS $30 1. Area of a Rectangle & Square 2. Area of a Parallelogram & Triangle 3. Area of a Trapezoid 4. Area of a Circle Discovery WS 5. Area of Irregular Figures 6. Area of Composite Figures 7. Perimeter & Area Review DECIMALS $30 1. Rounding Decimals 2. Add and Subtract Decimals 3. Add & Subtract Negative Decimals 4. Multiply Decimals 5. Divide Decimals 6. Multiply & Divide Negative Decimals 7. Decimal Place Value, Perimeter & Area EQUATIONS $50 1. Equation Introduction 2. Add & Subtract One Step Equations 3. Multiply & Divide One Step Equations 4. Integers and Equations WS 5. Solve 2 Step Equations Using Algebra Tiles WS 6. Solve 2 Step Equations WS 7. Multi-Step Equations Combine Terms Day 1 8. Multi-Step Equations Translate Day 2 WS 9. Negative Coefficient Equations 10. Variables On Both Sides Equations Algebra Tiles WS 11. Distributive Property Equations WS 12. Equations Review EXPONENTS & POWERS $30 1. Exponents Introduction 2. Zero and Negative Exponents 3. Fractions with Negative Exponents 4. Multiplying Exponents 5. Factoring, Fraction Exponents 6. Divide Powers, Multiply & Divide Monomials 7. Exponent Review EXPRESSIONS $20 1. Evaluate Algebraic Expressions 2. Writing Algebraic Expressions 3. Combing Like Terms Algebra Tiles WS 4. Combine Terms & Properties Review 5. Terms, Evaluate, Perimeter & Area FORMULAS $15 1. Perimeter, Area, & Distance Formulas 2. Commission, Sales Tax & Leaving a Tip 3. Unit Analysis, Convert Units, Mass Formula 4. Simple Interest http://www.mathslideshows.com

20 FRACTIONS $50 1. Equivalent Fractions, Simplest Form, Giant One 2. Mixed Numbers & Improper Fractions 3. LCD, Comparing Fractions 4. Fraction Review (Equivalent, Mixed, Compare) 5. Add & Subtract Fractions Same Denominator 6. Add & Subtract Fraction MODEL WS 7. Add & Subtract Unlike Denominators 8. Add, Subtract, & Multiply Mixed Numbers 9. Multiply Fraction MODEL WS 10. Multiply Mixed Numbers 11. Reciprocals 12. Divide Fractions 13. Fraction Review 14. Add & Subtract Negative Fraction Unlike Denomin. 15. Add & Subtract Negative Fraction MODEL FRACTION, DECIMAL & PERCENT $20 1. Fractions as Decimals, Terminating & Repeating 2. Decimal Patterns, Repeating Decimals as Fractions WS 3. Percents to Decimals & Fractions 4. Fractions & Decimals to Percents 5. Fractions, Decimals & Percents Review WS 6. Fractions & Decimals & Percents GRAPHING & FUNCTIONS $50 1. Graphing in a Coordinate Plane 2. Is The Ordered Pair a Solution? WS 3. Function Form WS 4. Mystery Graph & Silent Board Game WS 5. Graphing Equations & Parabolas WS 6. x and y intercepts 7. Slope of a Line Day 1 8. Slope of a Line Day 2 9. Graphing Slope Review 10. Graphing Shortcut 11. y = mx + b WS GUESS & CHECK TABLES $20 1. Guess & Check Tables 1 WS 2. Guess & Check Tables 2 WS 3. Guess & Check Tables 3 WS 4. Guess & Check Tables Review WS 5. Guess & Check Perimeter & Area WS HOLIDAY MATH $10 1. Halloween Math WS 2. Thanksgiving Math WS 3. December Math WS

21 http://www.mathslideshows.com INEQUALITIES $25 1. Inequalities Introduction 2. Inequalities Add & Subtract WS 3. Positive Inequalities Multiply & Divide WS 4. Negative Inequalities WS 5. Two Step Inequalities 6. Inequality Review WS INTEGERS $50 1. Integers & Absolute Value Introduction 2. Add Integers Hands On MODEL 3. Add Integers With a Number Line 4. Subtract Integers Hands on MODEL WS 5. Subtract Integers Review 6. Subtract Integers With a Number Line 7. Slider Game Integer Review WS 8. Multiply Integers Day 1 WS 9. Multiply Integers Day 2 10. Divide Integers 11. Integer Review MATH ART & GAMES $30 1. Bingo Game WS 2. Optical Illusions 3. Tessellations, MC Escher 4. Game of Poison 5. Game of Mancala 6. Line Designs 7. Networks, Leohnard Euler 8. Beauty of Math, Last Day of School MULTIPLICATION $10 1. Area Multiplication 1 WS 2. Area Multiplication 2 WS 3. Lattice Multiplication NUMBER SYSTEMS $10 1. Compare and Order Rational Numbers 2. The Real Number System 3. Rational Numbers 4. Rational Number Game WS NUMBER THEORY $20 1. Divisibility Rules 2. Prime Numbers Discovery: Eratosthenes 3. Prime Factorization, Make a List 4. Greatest Common Factor 5. Least Common Multiple PERCENT $30 1. Percent Shortcuts WS 2. Percent Problems, solve for % 3. Percent Problems (part/whole, is/of) WS 4. Percent of a Number 5. Percent of Increase or Decrease 6. Percent of Markup or Discount 7. Commission, Sales Tax & Leaving a Tip 8. Percent & Discount Review WS

22 http://www.mathslideshows.com PERIMETER & CIRCUMFERENCE $15 1. Perimeter of Polygons 2. Circumference of a Circle Discovery WS 3. Circumference of a Circle Review 4. Perimeter & Area Review POINTS, LINES, PLANES & ANGLES $20 1. Points, Lines & Planes 2. Angles: Acute, Right, Supplementary, Com. 3. Measuring Angles With a Protractor 4. Parallel, Perpendicular & Skew Lines 5. Angles: Adjacent & Vertical, Transversal POLYGONS & CIRCLES $15 1. Classifying Triangles: Acute, Right & Obtuse 2. Quadrilaterals Introduction 3. Circles Introduction 4. Congruent Polygons PROBABILITY $15 1. Probability Introduction 2. Experimental Probability: Coin Toss WS 3. Probability: Roll & Add Two Dice WS 4. Probability Game: Rock, Paper & Scissors WS 5. Probability of Compound Events PROBLEM SOLVING $5 1. Problem Solving 2. Problem Solving Strategies PROPERTIES $25 1. Order of Operations 1 2. Order of Operations 2 3. Commutative, Associative & Identity Properties 4. Distributive Property Generic Rectangles WS 5. Combine Terms & Properties Review 6. Equations & Inverse Property RATIOS & PROPORTTIONS $30 1. Ratio, Rates & Unit Rate 2. Unit Rate & Unit Price 3. Writing Proportions 4. Dimensional Analysis Converting Units 5. Proportions Review 6. Similar Figures 7. Indirect Measurement 8. Unit Rate, Unit Analysis, Missing Units 9. Scale Drawings SCIENTIFIC NOTATION $5 1. Scientific Notation Day 1 2. Scientific Notation Day 2 SQUARES, SQUARE ROOT, PYTHAGOREAN $20 1. Square and Square Root 2. Estimating Square Roots 3. Discover Pythagorean Theorem WS 4. Pythagorean Theorem Day 2 5. Converse of Pythagorean Theorem

23 http://www.mathslideshows.com SURFACE AREA & VOLUME $50 1. Three Dimensional Figures 2. Volume of a Prism 3. Volume of a Cylinder WS 4. Volume of a Pyramid or Cone 5. Make a Net of a Rectangular Prism WS 6. Surface Area of Prisms Day 1 7. Surface Area of Prisms Day 2 8. Surface Area of a Square Pyramid 9. Surface Area and Volume of a Sphere 10. Surface Area and Volume Review 11. Formulas You Need To Know WS TYPES OF GRAPHS $20 1. Stem & Leaf and Line Plots 2. Calculating The Mean 3. Mean, Median, Mode, & Range 4. Box and Whisker Plots 5. Scatter Plots and Correlation 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 CREATED BY: Amber Pasillas TO ORDER: http://www.mathslideshows.com E-MAIL: amberpasillas@yahoo.com PHONE: (530) 893-5239 $300 BEST DEAL = All math slideshow lessons listed above & worksheets.


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