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November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me to pass back papers Sign up to re-take test PROBLEM OF THE WEEK! November 30, 2012 7 Perimeter and Circumference Notes Perimeter- distance ________________________a figure Example 1: Finding the perimeter of a polygon. Example 2: Find the Perimeter. Find the perimeter. Example 3: Find the Perimeter. Circumference- distance around a __________________________________ Pi (π)- ratio of circumference to diameter, equals __________________________ Radius- _______________ way through the circle LABEL= Diameter- line straight through the ______________________ of circle. Example 4: Find the circumference of each circle to the nearest tenth, if necessary. Use 3.14 for π. Example 5: Jill plans to build a fence around her circular garden. About how many feet of fencing would be required if the garden has a diameter of 28 ft? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get a blue math book, calculator, and reference sheet PROBLEM OF THE WEEK! November 30, 2012 Area of Rectangles and Parallelograms Notes Area- number of _____________ units to cover a figure **REMEMBER—It doesn’t matter which side you use for length and width** LABEL= Example 2: Example 1: Find the area of the rectangle. Find the area of the rectangle. Example 3: The area of a playing field is 1,470 ft2 and the length is 42 ft. What is the width of the field? Base- the two ______________________sides of the parallelogram Height- length between both bases, _____________________________to the base Altitude is another name for the height **NOTE—this formula is the EXACT same as a rectangle** *Base is the same as length* *height is the same as width* Example 4: Find the area of the parallelogram. Example 5: Birgit and Mark are building a rectangular patio measuring 27 ft by 21 ft. How many square feet of tile will they need? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get a blue math book, calculator, and reference sheet Come see me to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Area of Triangles and Trapezoids Notes Triangles: Base- any _____________ of the triangle Height- _____________________distance between the highest point in triangle and the______ Altitude- ____________________ of the triangle Example 1: Find the area of each triangle. LABEL= Example 2: Example 3: What is the base of a triangle with area of 66 m2 and height of 11 m? Trapezoids: Bases- two ______________________ sides Height- ______________________ distance between bases Example 4: Example 5: Find the area of each trapezoid. Example 6: Example 7: November 30, 2012 Welcome to Class! Write down the assignment in your agenda Pass back papers Get ISTEP Packet, calculator, and ISTEP Reference Sheet PROBLEM OF THE WEEK! November 30, 2012 November 30, 2012 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get a blue math book, calculator, and reference sheet PROBLEM OF THE WEEK! November 30, 2012 Area of Circles Notes Area of Circles: LABEL= Pi= ___________________ Radius- _______________ way through the circle Diameter- line straight through the ______________________ of circle. Find the area of each circle. Example 1: Example 2: Example 3: Example 4: Example 5: Find the area of a circle with a diameter A= 40.82 m2 of 7 cm. r = ?? Example 6: A group of historians are building a yurt to display at a local multicultural fair. The yurt has a height of 8 feet 9 inches at its center, and it has a circular floor of radius 7 feet. What is the area of the floor of the yurt? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me to pass back papers Get a calculator and reference sheet PROBLEM OF THE WEEK! November 30, 2012 Area of Trapezoids and Irregular Figures Review: Finding area of trapezoids. Steps to find the area of complex figures: 1. Divide shape into simple figures 2. Find area of each figure 3. Add area of each figure together Examples: 7m 20 yd 4m 36 yd 11 m 37 yd 13 m 80 yd November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me to pass back papers Put your homework on the top left corner of your desk Get a calculator and ISTEP Reference sheet PROBLEM OF THE WEEK!! November 30, 2012 Review of Area of Complex Figures Examples: November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of you desk Come see me to pass back papers Get your ISTEP Packet PROBLEM OF THE WEEK! November 30, 2012 Identifying 3-Dimensional Figures 3-Dimensional Figures: 3-Dimensional figure- a ________________that does not lie in a plane Have THREE dimensions: LENGTH, WIDTH, and HEIGHT Face- a ________________surface Edge- where 2 ____________________________meet Vertex- a __________________where 3 or more edges meet Base- the face used to name the solid, usually the “__________________________________” Prism- has ______________bases Pyramid- has ______________________base Example 1: Identify the bases and faces of each figure. Then name it. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Get a blue math book, calculator, and ISTEP reference sheet Come see me to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Volume of Prisms and Cylinders Volume of Prisms and Cylinders: Volume- number of cubic units to _________________ inside a 3-D figure Cubic unit- a cube with edges ____________unit long Example 1: Find the volume of a rectangular prism. Example 2: Example 3: Example 4: Example 5: Example 6: November 30, 2012 Welcome to Class! Write the assignment in your agenda Put your homework on the top left corner of your desk Get a calculator and ISTEP reference sheet PROBLEM OF THE WEEK! November 30, 2012 Volume of Pyramids and Cones Example 1: Find the volume of each rectangular pyramid. Example 2: Find the volume of each triangular pyramid. Example 3: Find the volume of each cone. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get ISTEP packet, blue math book, calculator, and ISTEP reference sheet PROBLEM OF THE WEEK! November 30, 2012 Surface Area of Prisms and Cylinders Surface Area of Prisms and Cylinders: Surface Area- sum of the areas of the _____________ **REMEMBER: it doesn’t matter which numbers you choose for the width, length, or height** LABEL= Example 1: Find the surface area of a rectangular prism. Example 2: Find the surface area of a cylinder. November 30, 2012 Welcome to Class! Write the assignment in your agenda Get a calculator and ISTEP reference sheet PROBLEM OF THE WEEK! Study for your test :) November 30, 2012 Welcome to Class! Write the assignment in your agenda Get a calculator and ISTEP reference sheet Show all of your work GOOD LUCK!!!! November 30, 2012