employability in agricultural/horticultural industry
TRANSCRIPT
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.
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?
Student Objectives
Describe the methods used to calculate the area of various shapesIdentify the application of determining areas and distancesDescribe the methods used to calculate the volume of various shapesIdentify the applications of determining volume in agriculture
Terms
AreaCircleEquilateral Isosceles TriangleLengthParallelogramRectangle
Right Triangle
Square
Scalene Triangle
Trapezoid
Triangle
Volume
Width
Area
Defined as the measure of the amount of surfaceTwo dimensional Reported in Square inches, square feet, acres, square meters, etc.To convert square feet to acres, divide by 43,560
Determining the Area of a Rectangle
If width = 1,000 ft
length = 2,000 ft
1,000 x 2000 ft = 20,000 ft2
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
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
Volume
3 Dimensional
in “cubic” units
Important to remember - when converting from cubic feet to cubic
yard, divide by 27
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