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Mathematics
Index  MATHEMATICS  Learning Activities
(Basic Math, Algebra, Geometry)
LESSON PLANS are full format, formal Lesson Plans. Others are brief format Learning Activities.
Curriculum Standards are in process of being added to ALL ACTIVITIES  by early July.
No 
Topic 
Main Subject Area 
Related Subject Areas 

1  Prairie Root Systems (DOC) LESSON PLAN (23)  mathematics  science, biology, botany 
2  Measuring Slope (PDF) LESSON PLAN (68) 
mathematics 
science 
3  Burning and Beef Production Ratios (DOC) Percent of Increase in Cattle Weight. LESSON PLAN (78) 
mathematics 
science; career, agriculture and technology, agronomy, animal science 
4  Using Mathematics in Community ProblemSolving (DOC) LESSON PLAN (912) 
mathematics 
career, agriculture and technology, construction; social studies, economics, government 
5  Calculate square footage areas of lot sizes 
mathematics, geometry 

6  Determine average land values 
mathematics 

7  Calculate area of “viewshed” of industrial wind developments 
mathematics, geometry 

8  Economic impact of beef production 
mathematics 
science, animal science; social studies, economics; business 
9  Economic impact of local oil and gas production 
mathematics 
social studies, government, economics 
10  Costs of building and maintaining local infrastructure 
mathematics 
government, economics 
11 
Calculate depreciation on agricultural equipment 
mathematics 
business, accounting 
12 
Quantify various resources and infrastructure in the county 
mathematics 
social studies, geography, government, economics 
Flint Hills Learning Activities to Integrate Flint Hills into Existing Curriculum
MATHEMATICS
(Basic Math, Algebra, Geometry)
1. Prairie Root Systems
In this measuring Prairie Root Systems (DOC) LESSON PLAN (grades 23) Students will recognize that prairie plants have extensive root systems. They will use a diagram to determine plant height and root length. Students will use a measuring tool to construct a visual from yarn. (science, biology, botany; mathematics)
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2. Measuring Slope
In this Measuring Slope (PDF) LESSON PLAN (grades 68), Students will plot slopes in outdoor learning area. Use mathematical formula to convert into slope %. Complete cause effect summary over relationship between how steep the slope is and erosion. [Links directly to opensource Lesson Plan in Earth Partnership for Schools] (mathematics; science)
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3. Burning & Beef Production Ratios
In this Burning & Beef Production Ratios (DOC) LESSON PLAN (grades 78), students will calculate the percent of increase in cattle weight from burning pasture. As background, students learn about effect of pasture burning both for range management and for beef production; they use proportional relationships to calculate the percent of increase in weight for a calf pastured on burned pasture and unburned pasture. (mathematics; science; career, agriculture and technology, agronomy, animal science)
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4. Using Mathematics in Community ProblemSolving
In this unit Using Math in Community Problem Solving (DOC) LESSON PLAN (grades 912)  Case Study: Determining Energy Efficiency of Flint Hills Schools, students assist local civic leaders in decisionmaking by conducting mathematical analysis of energy efficiency of local schools or other public buildings, esp. aging facilities in rural communities. i.e. Students will create formulas to compare longterm school heatingAC costs under (1) the current less efficient system and (2) an expensive but more efficient new system. (mathematics; career, agriculture and technology, construction; social studies, economics, government)
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5. Square Footage Areas of Lot Sizes
Students will calculate the relative square footage areas of lot sizes in different neighborhood plats within their local community. Through assistance of local Register of Deeds, Title Company, or realtors, students will locate local Plat Books showing diagrams of lots in various neighborhoods. Students will calculate area of lots and determine sizes of buildings to fit on these lots. Discuss effects of local building code restrictions (if existing) to construction on these lots. (mathematics; geometry)
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6. Determine Average Land Values
Using recent land sale data from County Appraiser, students will determine average land values in the area for cropland, grassland, and residential). (mathematics)
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7. The "Viewshed" of Industrial Wind Developments
Using geometric formulas based upon industrial wind turbine height, students will calculate the area within which the turbines are visible  the “viewshed” of industrial wind developments. (mathematics; geometry)
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8. Economic Impact of Beef Production
Students will explore and quantify the economic impact of beef production in their county. How much money is made from cattle in your county? Why is this a complicated determination? How can you obtain information about numbers of cattle grazed in your county? Interview local County Extension agent on use of agricultural statistics, landuse information, case studies, to determine cattle numbers. How much are these cattle worth? What is the total gross sales of beef cattle from your county? How many of these cattle were born and raised in your county? How many were shipped in as yearlings? How many pounds of beef do these cattle gain while in your county? Students will create formulas to estimate various approaches to determining economic impact of beef production. (mathematics; science, animal science; social studies, economics; business)
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9. Economic Impact of Local Oil & Gas
Students will investigate the economic impact of local oil and gas production. Students will research sources of public information such as in the Kansas Corporation Commission Oil and Gas Division and the County Appraiser info on oil royalty taxation. Using this data, students will estimate the number of barrels of oil produced within their county each year. Students will use County Appraiser’s formulas to estimate the amount of revenue the county receives from taxing production of oil and gas. Students will determine the percent of total revenue is from oil and gas. (mathematics; social studies, government, economics)
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10. Costs of Building & Maintaining Local Infrastructure
Students will estimate the costs of building and maintaining local infrastructure. Students will investigate the cost of building a new section of asphalt street in the community (specify a distance, i.e. one block). What contractors and subcontractors are involved in a project like this? How long will it last? What is the cost of maintaining this investment? Are the tax revenues sufficient to maintain these investments? Compare the cost of maintaining a city block of street to replacing a city block of street. How many blocks/miles of street does your city have to maintain and occasionally replace? If citizens want lower taxes and the streets are not adequately maintained, what will be the eventual cost to the city of replacing the street? Students will create a chart comparing adequate maintenance costs over the long run to inadequate maintenance + eventual replacement costs. (mathematics; government, economics)
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11. Calculate the Depreciation On Agricultural Equipment Such as a Tractor
Students will calculate the depreciation on agricultural equipment such as a tractor. What is depreciation? What is an income tax deduction? Why is depreciation allowed as a deduction from income tax? What is “useful life”? What is the useful life on a tractor (chosen model)? What rate of depreciation is allowed for it? Students will compute the income tax deduction to the rancher for this equipment for its useful life. (mathematics; business, accounting).
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12. Estimate / Quantify Totals of Various Resources & Infrastructure in the County
Using county maps and other resources, students will create formulas to estimate / quantify totals of various resources and infrastructure in the county, i.e. the number of square miles, number of acres, number of linear miles of railroad and state and/or federal highway. (mathematics; social studies, geography, government, economics)
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