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Using Mathematics Skills

Using Mathematics Skills. Reminder: student learning activities are at the end of this power point. Lesson 2. Determining Area and Volume. Next Generation Science/Common Core Standards Addressed!.

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Using Mathematics Skills

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  1. Using Mathematics Skills Reminder: student learning activities are at the end of this power point.

  2. Lesson 2 Determining Area and Volume

  3. 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.

  4. Agriculture, Food and Natural Resources Standards Addressed! • PST.04.02. Determine structural requirements, specifications and estimate costs for AFNR structures • Sample Measurement: The following sample measurement strands are provided to guide the development of measurable activities (at different levels of proficiency) to assess students’ attainment of knowledge and skills related to the above performance indicator. The topics represented by each strand are not all-encompassing. • PST.04.02.01.a. Summarize and categorize the information needed to complete a bill of materials and cost estimate for an AFNR structure.

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

  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 ft2

  12. Determining the Area of a Triangle

  13. Kinds of Triangles

  14. Determining the Area of a Triangle • If base = 600 ft. • and height = 750 ft. • area = 600 x 700 2 • area = 210,000 ft2 • area = 4.82 acres

  15. Determining the Area of a Trapezoid

  16. Determining the Area of a Trapezoid • Base 1 = 2000 ft. • Base 2 = 3000 ft. • Height = 1500 ft. • 2000 + 3000 x 1500 2 • area = 3,750,000 ft2 • area = 86 acres

  17. Determining the area of a Parallelogram

  18. Determining the area of a Parallelogram • Base = 400 ft • Height = 600 ft • Area = 240,000 ft2

  19. Determining the Area of a Circle

  20. Determining the Area of a Circle • Radius = 25 ft. • 252 x 3.14 = 1962.5 ft2

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

  22. Determining Cubic Area

  23. Determining Cubic Area • Length = 100 ft • Width = 20 ft • Height = 20 ft • Volume = 40,000 ft3

  24. Determining the Volume of a Cylinder

  25. Determining the Volume of a Cylinder • If height = 10 feet • and radius is 3 feet • what is the volume of this cylinder? • 32 x 3.14 x 10 = 282.6 ft3

  26. Determining the Area of a Cone

  27. Radius = 10 ft Height = 20 ft 102 x 3.14 x 20 3 Volume = 209,333 ft3 Determining the Area of a Cone

  28. Determining the Area of a Sphere

  29. Determining the Area of a Sphere • Diameter = 6 feet • 3.14/6 x 63 = 112.968 ft3

  30. The End! NEXT: Student Learning Activities

  31. Student Learning Activities • Sample tests are available in the Lesson Plan tab.

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