F-BF.1.1.a

Write a function that describes a relationship between two quantities.

a. Determine an explicit expression, a recursive process, or steps for calculation from a context.

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Formative Assessments
Formative Assessments
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Students are asked to write two explicit functions given verbal descriptions in a real-world context, compose the two functions, and explain the meaning in context.
Furniture Purchase
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Students are asked to write an explicit function rule given a verbal description of a functional relationship in a real-world context and are then asked to use the function rule to answer specific questions.
Saving for a Car
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Students are asked to write an explicit function rule given a verbal description of a functional relationship in a real-world context and are then asked to use the function rule to answer a question.
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Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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This video demonstrates writing a function that represents a real-life scenario.
Basic Linear Function
Use Real Link and Title
Use Real Link and Title
Problem Based Lesson
Problem Based Lessons
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This awesomely gross lesson provides students with a real world context for building linear functions.
How Much Does A 100×100 In-N-Out Cheeseburger Cost?
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Students will have to decompose 450 and account for the nine rolls.
How Can You Win Every Prize At Chuck E. Cheese’s?
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Students should be able to reach the conclusion that the toilets’ water usage would be about the same when the dual flush toilet is used slightly less than 50% of the time for “solids” and slightly more than 50% of the time for “liquids”.
Which Toilet Uses Less Water?
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The task provides a reasonably straight-forward introduction to interpreting the parameters of an exponential function in terms of a modeling context.
Exponential Parameters
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Each student states which coupon he or she would use.
What Michaels Coupon Should You Use?
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There are three challenges for this problem depending on the whether this is approached as a simple percent increase problem or a compound interest problem
How Did Motel 6 Go From $6 To $66?
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Students will find the annual gas costs for each car and subtract them.
Do Hybrid Cars Pay For Themselves?
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In this task, students' curiosity for how many total pennies have been used to create a 3D pyramid is generated. They then model the math by using various resources to answer this question, along with others.
Pyramid of Pennies – 3-Act Task by Dan Meyer
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Students add the monthly payments together with the initial down payment and compare it to the single annual payment.
Is It Cheaper To Pay Monthly or Annually?
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Students will be able to verify their answers by using the Finland’s police website that has an English language “Ticket Calculator” where students will be able to plug in values to verify that their answer is correct.
How Did He Get A $103,000 Speeding Ticket In Finland?
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The purpose of the first question is to give students a question that they can sink their teeth into. There are many ways for them to determine that together the pair ate 36 hot dogs in the first four rounds (1 + 2 + … + 8).
How Many Hot Dogs Did They Eat?!