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#1 The Area of a figure is the number of square units needed to cover it. 2 3 Rectangle 4 A=2 3 6 square units 6 units2 Square 8m 8m 5 A l w A 5 4 20 un 2 A = s2 A 88 64 m 2 http://www.mathslideshows.com #2 PERIMETER: Is the distance around a figure. in + in + in + in = in AREA: Is the square units that cover a figure. length • width = in • in = squared width 2 in length VOLUME: The number of cubic units inside a figure. length • width • height 3 cubed in • in • in = in copyright©amberpasillas2010 http://www.mathslideshows.com height width length #3 Area of a Parallelogram To find the area for a parallelogram use what you know about area of a rectangle. A = base x height 3 in 5 in A=bxh 2 = 15 in A=5x3 http://www.mathslideshows.com #4 Area of a Triangle A triangle is half the area of a rectangle. To find the area of a triangle you use the rectangle formula and divide it in half. A = base x height 2 6m 8m bh A= 2 1 A= bh 2 A=8x6 = 2 http://www.mathslideshows.com 2 24 m #5 Area of a Trapezoid 4 ft A = (base1 + base2) x height 2 3 ft A = (b1 + b2) x h 5 ft 2 A = (4 + 5) x 3 2 A = (9) x 3 2 = 27 2 = 13.5 http://www.mathslideshows.com ft2 Area of Polygons #6 The Area of a figure is the number of square units needed to cover it. Rectangle A l w 4 5 A 5 4 A 20 un2 Parallelogram Triangle A b h 8 7 10 A 10 7 7 A 70 un2 5 8 b•h A= 2 8 5 A 2 A 20 un2 http://www.mathslideshows.com #7 A = π radius squared 6 in A = πr 2 A = (3.14)6 2 A = (3.14) 36 = 3.14 or 22 7 A = 113.04 in http://www.mathslideshows.com 2 #8 5 ft Round to the nearest hundredths place and include units! Find the Circumference C = 2 r C = 2 5 C = 10 Find the Area A = r 2 A = 52 A = 25 A = 78.54 ft 2 C = 31.42 ft http://www.mathslideshows.com #9 Parallelogram Trapezoid Triangle h b b1 h b2 A= Base x Height A= (Base1 + Base2) x Height 2 A= (Base x Height) 2 Rectangle A= Base x Height Square A= Side x Side h b h b s s http://www.mathslideshows.com #10 Area 20 m 13 m 5m 12 m 25m Perimeter Area1 l w 20 12 240 m 2 bh 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 # 11 Perimeter & Area Review The Perimeter (P) is the distance around a figure. a P= a+b+c units c b The Area (A) of a figure is the number of square units needed to cover it. height (h) base (b) A=2•6 12 square units 12 units2 http://www.mathslideshows.com # 12 Area & Perimeter of a Triangle 5 cm Area 6 cm 3 cm 9 cm Perimeter P=a+b+c P=5+6+9 P = 20 cm 1 A bh 2 1 A 9 3 2 1 A 27 2 2 A 13.5 cm copyright©amberpasillas2010 #13 Perimeter & Area of a Rectangle The Perimeter of a figure is the distance around a figure. 2 5 in. 5 P 2l 2w 2 2 in. 2 in. + 5 14 in. 5 in. The Area of a figure is the number of square units needed to cover it. 2 3 A=3•2 6 square units 6 units2 http://www.mathslideshows.com A bh Teacher Note: The following study guide slides were taken from the lesson on Perimeter and Area review under the PERIMETER FOLDER http://www.mathslideshows.com #9 a c a P= a+b+c h g b c f s P=4s s s P=a+b+c+d+e+f+g+h b e d l w w l s http://www.mathslideshows.com P=2l+2w #10 Perimeter of a Triangle Perimeter: Distance around a geometric figure. a 3 cm When you add the b 5 cm sides, you are also c 7 cm adding the units. P a bc When you add units, your UNITS DO NOT P 3 5 7 CHANGE! P 15 cm You must include units in every answer! http://www.mathslideshows.com #11 Perimeter of a Rectangle & Square The Perimeter of a figure is the distance around a figure. 2 5 in. 5 2 2 in. 2 in. + 5 14 in. 5 in. Rectangle 4 5 Square P 2l 2w P 4s 8 ft 8 ft P 2(5) 2(4) 10 8 P 4(8) 32 ft 18 units 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 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