1. Employability in Agricultural/Horticultural Industry

2. Using Mathematics Skills

3. Lesson 2 Determining Area and Volume

4. Next Generation Science/Common Core Standards Addressed! CCSS.Math.Content.8.EE.A.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. CCSS.Math.Content.8.EE.B.5 - Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

5. Bell Work What are some agricultural occupations which might require math skills to determine area and volume? What are some examples of problems common to these occupations Have many of you have had to use mathematical skills to complete a job?

6. Student Objectives Describe the methods used to calculate the area of various shapes Identify the application of determining areas and distances Describe the methods used to calculate the volume of various shapes Identify the applications of determining volume in agriculture

7. Terms Area Circle Equilateral Isosceles Triangle Length Parallelogram Rectangle Right Triangle Square Scalene Triangle Trapezoid Triangle Volume Width

8. Area Defined as the measure of the amount of surface Two dimensional Reported in Square inches, square feet, acres, square meters, etc. To convert square feet to acres, divide by 43,560

9. How big is an Acre? A little larger than a football field!

10. Determining the Area of a Square

11. Determining the Area of a Rectangle If width = 1,000 ft length = 2,000 ft 1,000 x 2000 ft = 20,000 ft 2

13. Determining the Area of a Triangle

15. Kinds of Triangles

16. Determining the Area of a Triangle If base = 600 ft. and height = 750 ft. area = 600 x 700 2 area = 210,000 ft 2 area = 4.82 acres

17. Determining the Area of a Trapezoid

18. Base 1 = 2000 ft. Base 2 = 3000 ft. Height = 1500 ft. 2000 + 3000 x 1500 2 area = 3,750,000 ft 2 area = 86 acres

19. Determining the area of a Parallelogram

20. Base = 400 ft Height = 600 ft Area = 240,000 ft 2

21. Determining the Area of a Circle

22. Radius = 25 ft. 25 2 x 3.14 = 1962.5 ft 2

23. Volume 3 Dimensional in “cubic” units Important to remember - when converting from cubic feet to cubic yard, divide by 27

24. Determining Cubic Area

25. Length = 100 ft Width = 20 ft Height = 20 ft Volume = 40,000 ft 3

26. Determining the Volume of a Cylinder

27. If height = 10 feet and radius is 3 feet what is the volume of this cylinder? 3 2 x 3.14 x 10 = 282.6 ft 3

28. Determining the Area of a Cone

29. Radius = 10 ft Height = 20 ft 10 2 x 3.14 x 20 3 Volume = 209,333 ft 3

30. Determining the Area of a Sphere

31. Diameter = 6 feet 3.14/6 x 6 3 = 112.968 ft 3