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Area of a Rectangle & Square
#1 Area of a Rectangle & Square The Area of a figure is the number of square units needed to cover it. A = 2 3 6 square units 6 units2 2 3 Square Rectangle 8m 4 8m 5
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copyright©amberpasillas2010
#2 USING CORRECT UNITS 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 = in2 VOLUME: The number of cubic units inside a figure. length • width • height in • in • in = in3 squared width length height cubed width length copyright©amberpasillas2010
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Area of a Parallelogram
# 3 To find the area for a parallelogram use what you know about area of a rectangle. A = base x height 3 in A = b x h 5 in A = 5 x 3 = 15 in2
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Area of a Triangle # 4 A = base x height A = 8 x 6
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 6 m 8 m A = 8 x 6 = 24 m2 2
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Area of a Trapezoid A = (b1 + b2) x h A = (4 + 5) x 3 2 A = (9) x 3 27
# 5 4 ft A = (base1 + base2) x height 3 ft 2 A = (b1 + b2) x h 5 ft 2 A = (4 + 5) x 3 2 A = (9) x 3 27 = = 13.5 ft2 2 2
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Area of Polygons #6 The Area of a figure is the number of square units needed to cover it. Rectangle Parallelogram Triangle 7 4 8 7 5 5 10 8
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Area of a Circle #7 6 in = 3.14 or 22 7
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Given the Radius of a Circle
#8 Given the Radius of a Circle Round to the nearest hundredths place and include units! 5 ft Find the Circumference Find the Area
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A= (Base1 + Base2) x Height
Area Formulas # 9 h Parallelogram A= Base x Height b b1 A= (Base1 + Base2) x Height h Trapezoid 2 b2 A= (Base x Height) h Triangle 2 b h Rectangle A= Base x Height b s Square A= Side x Side s
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ANOTHER WAY: Area of a Trapezoid
COMPOSITE FIGURES #10 Area 20 m 13 m 12 m 5 m 25m Perimeter P = P = 70 m ANOTHER WAY: Area of a Trapezoid A = (b1 + b2) x h 2
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Perimeter & Area Review
# 11 Perimeter & Area Review The Perimeter (P) is the distance around a figure. a c P= a+b+c units b The Area (A) of a figure is the number of square units needed to cover it. height A = 2 • 6 12 square units 12 units2 (h) base (b)
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Area & Perimeter of a Triangle
# 12 5 cm 6 cm Area 3 cm 9 cm Perimeter P = a + b + c P = P = 20 cm copyright©amberpasillas2010
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#13 Perimeter & Area of a Rectangle
The Perimeter of a figure is the distance around a figure. 5 in. 2 5 2 2 in. 2 in. + 5 5 in. 14 in. The Area of a figure is the number of square units needed to cover it. A = 3 • 2 6 square units 6 units2 2 3
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Teacher Note: The following study guide slides were taken from the lesson on Perimeter and Area review under the PERIMETER FOLDER
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Perimeter Examples Triangle Polygon Square Rectangle #9 P= a+b+c
h b P=a+b+c+d+e+f+g+h g c b f d e Square Rectangle P=2l+2w s l P=4s w w s s l s
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#10 Perimeter of a Triangle
Perimeter: Distance around a geometric figure. When you add the sides, you are also adding the units. When you add units, your UNITS DO NOT CHANGE! You must include units in every answer!
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#11 Perimeter of a Rectangle & Square
The Perimeter of a figure is the distance around a figure. 5 in. 2 5 2 2 in. 2 in. + 5 5 in. 14 in. Rectangle Square 4 8 ft 5 8 ft
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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
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