1 / 14

Area: Day 1

Area: Day 1. Math 10-3 Ch.3 Measurement. Area- basics. Area is the surface of a 2-D object. A good way to visualize area is to imagine coloring in between the lines of a shape; when you have done this, you have colored the area.

stew
Download Presentation

Area: Day 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Area: Day 1 Math 10-3 Ch.3 Measurement

  2. Area- basics • Area is the surface of a 2-D object. • A good way to visualize area is to imagine coloring in between the lines of a shape; when you have done this, you have colored the area. • When we calculate the area, we are finding the “square” units of the shape.

  3. Area - basics • For example, the area of a 2ft by 4 ft concrete slab would be 8 ft2 • “Squaring” meansmultiplyingsomethingby itself. In the example, we multiplied ft x ft together to get ft2 OR “square foot”.

  4. When will I use this? • Contractors and other tradespersons often use grid paperto help them envision the work site. • Grid paper usually has 1 cm by 1 cm squares, which a contractor may use to represent 1 ft by 1ft.

  5. Grid Paper – 1 cm x 1 cm

  6. Estimating…. • We can also use referents to determine the area of certain spaces or objects. Remember a referentis a known measure used for estimating or comparing. • For example, the tip of your thumb is about 1 cm x 1 cm = 1 cm2 (1 square centimeter) • Or the area of the palm of your hand is about 4 in x 4 in = 16 in2 (16 square inch) • The area of a typical floor tile is approximately 1 ft x 1ft = 1 ft2 (1 square foot)

  7. Basic Area Formulas • There are formulas we can use to calculate the area of basic shapes: • Area Square = side x side = s x s OR s2 • Area Rectangle = length x width = l x w

  8. The formulas for more complex shapes are a bit trickier. First we need to review a few basics… • A polygon is a closed figure with straight sides. We discussed a few polygons yesterday such as triangles, trapezoids and parallelograms. • The height of an object is the perpendicular distance from the base of a polygon to an opposite vertex. • Perpendicular– two lines that form a right (900) angle. For example, a corner is a 900 angle. • Vertex– the point where two or more lines meet.

  9. Triangle • Area triangle = (base x height) OR b x h remember, multiplying by is the same as dividing by 2!

  10. Parallelogram • Area Parallelogram = base x height OR b x h

  11. Trapezoid • Area Trapezoid = (base + opposite side) x height • OR (b1+b2) x h

  12. Circle • Area Circle = x radius x radius OR r 2

  13. Ex1. Arthur is planning his living room space. He knows that the coffee table is 2.5 m long by 1.5 m wide. What is the area of the table? • Sketch it! • Formula! • AreaRectangle = l x w = 2.5m x 1.5 m =3.75 m2 • *It is very important to include your UNITS for area. The units will always be the measurement unit2 !

  14. Ex2. Arthur wants to put a circular decorative stand in the room as well. The radius of the stand is 2 m. What is the area of the stand? • Sketch it! • Formula! • Areacircle = r 2 = 3.14 x 2 x 2 = 12.56 m2

More Related