Name. A Farmer s Fields

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Merryl Heath
5 years ago
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00 x 2 x 3 x 6 150 120 100 150 300 300 0 300 100 50 + 50 1200 I will draw a diagram I have to find out how much each field is

2 Student #1 3 triangles $150 2 triangles 6 triangles $100 $300 6 triangles $300 3 triangles $150 1 triangle $50 2 triangles $100 1 triangle $50 I put it in triangles $ x 2 x 3 x I will draw a diagram I have to find out how much each field is worth. So find how many triangles and divide into $ to get the answer. Page 1 of 1 hexagon trapezoid rhombus triangle Answer: Field EF $ Field AB $ Field CD $ Field GH $50.00

3 Student #2 I need to find out how much and what fraction each field is worth. I will use a chart for both problems. Page 1 of 2

$Each field is worth and fraction answers One connection I will like to make is that you can convert the fractions in the problem. For exm: 1/2 can be 4/8 and still be the same value.$

4 Each field is worth and fraction answers One connection I will like to make is that you can convert the fractions in the problem. For exm: 1/2 can be 4/8 and still be the same value. Another connection I will like to do is that A and B is a hexagon. And I know that C and D are rhombi and that E, F are trapizoids and G, H are triangles. The 8 fields use 4 hexagon shapes. You can t do this problem if you don t know how the shapes fit together. Or like 6/6 = 1 or 1/2 + 1/2 = 1. I started with the triangle and added up by 100. It didn t work so I used 50 and it worked. I added and multiplied in my head. It wasn t very hard because of the zeros. Page 2 of 2

5 Student #3 200 $400 $ I have to find out what fraction of the total value is each field and how much is each field $4.00 $5.00 $1500 page 1 0f 1

$Student #4 I have to find out how the fraction and the total value of each$

6 Student #4 I have to find out how the fraction and the total value of each field is. I will use a diagram to see how many hexagons there are. page 1 of 2

hexagon A hexagon B C rhombus Triangle G 1/6 D 1/3 rhombus H triangle E 1/2 trapezoid F trapezoid thinking My 300 100 150 50 4 1200 3 300 2

2 30 00 10 0 0 10 0 0 0 0 0 0 1/3 + 1/3 + 1/3 = 3/3 = 1 whole 1/2 + 1/2 = 2/2 = 1 whole 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 = 1 whole

7 hexagon A hexagon B C rhombus Triangle G 1/6 D 1/3 rhombus H triangle E 1/2 trapezoid F trapezoid thinking My /3 + 1/3 + 1/3 = 3/3 = 1 whole 1/2 + 1/2 = 2/2 = 1 whole 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 = 1 whole Answer 1: Field A = 1 whole Field B = 1 whole Field C = 1/3 Field D = 1/3 Field E = 1/2 Field F = 1/2 Field G = 1/6 Field H = 1/6 Answer 2: Field A = $300 Field B = $300 Field C = $100 Field D = $100 Field E = $150 Field F = $150 Field G = $50 Field H = $50 page 2 of 2

8 Student #5 figures shown below, which are composed of triangles of the same size and with all sides the same length. Each field s value is based on its size. What fraction of the total value is each field worth? How much is each field worth? Show and explain all of your 1 /3 $ /2 $300 $300 1 /2 $ whole 1 whole 1 /3 $ /6 1/6 $50.00 $50.00 $ I have to figure out what the fields are worth and the fraction of the fields. You can t solve this problem if you don t know the fractions. I will make a table and write the answers on it. Every thing has to be equivalent Two trapazoids make one hexagon Two triangles make a rhombus So the diagram really has 4 hexagons The 3, 6, 2 are the denominators So $300 now you can do all the shapes = = = page 1 of 2

Farmer s Fields This is how it works Answers Answers Field Fractions Field values A 1 whole $300 6/6 B 1 whole $300 6/6 C

The diagram has 1 line of symmetry I put in. 2. Shape names are hexagon trapezoid rhombus triangle 3.

There are really 24 triangles in the diagram or 24 sixths 50 So 24/6 = 4 hexagons, or 24 1200 1200 This way you multiply 2,

9 Farmer s Fields This is how it works Answers Answers Field Fractions Field values A 1 whole $300 6/6 B 1 whole $300 6/6 C 1/3 $100 D 1/3 $100 E 1/2 $150 F 1/2 $150 G 1/6 $50 H My connections 1/6 list #50 (I thought of 7) 1. The diagram has 1 line of symmetry I put in. 2. Shape names are hexagon trapezoid rhombus triangle 3. I know some percents 100% 50% 4. I know some decimals or There are really 24 triangles in the diagram or 24 sixths 50 So 24/6 = 4 hexagons, or This way you multiply 2, 6, 3 to get the trapezoid, hexagon, and rhombus values. I am correct trapezoids have the same area as one hexagon 7. You can t have a square field no equivalent area page 2 of 2 2 x 50 = x 50 = x 50 = 300

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