Fractions &
Decimals – Settler’s farm
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We have learned a lot about fractions and decimals, as well
as the life of European settlers in Canada as they started their own farms and
homesteads. For this assignment, you will take on the role of a European Settler
who has immigrated to Canada and has paid for a start-up farm. You have
received 100 acres of land to plant your crops on, and $100 to spend on your
crops. You need to have a minimum of 3 crops, and spend as much of the $100
without going over, using all of your 100 grid.
Objective
Plant the farm land you have provided, using the catalogue to help you
select the crops. Analyze your farmland grid to identify fractions and
decimals, ratios and percentages (grade 6 only).
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Success
Criteria
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You will meet the objective by…
r Accurately and carefully planting
your farmland so that all of the 100 acres are used.
r Identifying crops to be planted, and their associated cost
r Analyzing and calculating cost of
crops, as close to $100
r Calculating accurate cost of crops using addition, subtraction, multiplication
r Analyzing and identifying fractions
from your 100 acres (for crops, and cost /100)
r Converting fractions to decimals
r Converting fractions to ratios and percents (Grade
6 only)
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Your Task
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You will create a well
thought out 100 grid representing the crops that you have
chosen to plant. Your grid will be used to represent various fractions and
decimals (and rations and percentages for grade 6s), and will include a
legend. You will show all your calculations.
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Step 1:
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Choose the crops you wish to plant.
Note: You must spend as much of your $100 as possible without going over!
Note: You must spend as much of your $100 as possible without going over!
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Make sure that you are buying enough crops to fill
out ALL of your 100 grid. Every
square acre must be used.
r
Show all your calculations showing how you figured
out how much of each crop to plant, and your total amount spent.
r
Show your calculations for how much money you have
remaining.
Step 2:
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Plot your crops, ensuring that every square acre
has been used.
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Provide a colour-coded legend for your 100 grid.
Step 3:
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Create a chart showing:
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The fractions for each of your crops out of the
total 100 square acres
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The decimals for each of your crops.
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The ratios and percentages for each of your crops
(Grade 6 only)
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Identify an equivalent fraction for each of your
crops
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Identify the simplest form of fractions for each
of your crops
Crop
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Fraction
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Decimal
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Equivalent Fraction
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Simplest Form
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*Ratio
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*Percentage
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* = Grade 6
only!
Step
4:
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Explain, using your mathematical language, how you
calculate equivalent fractions
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Explain, using your mathematical language, how you
find the simplest form of a fraction
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Describe how you would find the
decimal/ratio/percentage for a fraction
**ratio and percentage for Grade 6 only
**ratio and percentage for Grade 6 only
Optional Extension:
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Use the provided sale chart to calculate how
much profit you would make for each crop that you sold. What is the total
profit that you made? Show all your calculations.
r
Identify and show how you could replant your
field to increase your profit, while still spending as close to $100 as
possible, and using all 100 square acres.
Background Knowledge
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To complete this assignment, you will need to know:
r How to identify and
calculate fractions and decimals based on the 100 grid.
r Add, subtract, and
multiply decimals
r How to identify and
calculate ratios and percentages (Grade
6 only)
r How to calculate
equivalent fractions
r How to calculate the
simplest form
r How to create a chart to
organize your information
If you don’t understand a concept listed above, please ask for help before beginning.
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Criteria for Judgement
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The criteria for creating a well-supported report:
·
Accurate calculations: Are your calculations
accurate? Are they neat enough for the reader to follow and understand?
·
Detailed: Your explanations and
descriptions are detailed and accurate, and are easy to understand.
·
Uses unit vocabulary: Does your report use
the vocabulary we have learned in the Fractions and Decimal unit? Is the
vocabulary correctly used?
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Critical Thinking Vocabulary
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·
Accurate: Free from
errors, mistakes, or distortion.
·
Analyze: To break up something into parts and then examine
in detail. Conclusions drawn from analyzing are based on observations and
evidence.
·
Interpret: Understand and explain the significance of
something and support that explanation with evidence.
·
Support: Your answers are supported by showing your
thinking using calculations, diagrams and pictures.
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Food Crop Catalogue
Product
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Cost to
Buy
per square Acre |
Selling price (profit)
per square Acre
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Wheat
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$0.94
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$1.72
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Corn
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$0.97
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$1.34
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Barley
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$0.85
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$1.25
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Canola(oil)
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$0.89
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$1.66
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Squash
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$0.91
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$1.63
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Green Beans
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$0.88
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$1.12
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Sunflower (oil)
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$0.96
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$1.37
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