Composite Functions Task Cards

Assess your math students’ proficiency in finding composite functions and their domains. There are 18 cards in total. The answers are included in two forms: as a list and also to be copied front and back for immediate feedback. This frees up more of the teacher’s time to walk around and help those students who need more help. Students will practice using the distributive property, combining like terms, and adding/subtraction rational functions by finding the least common denominator.

***There's a digital and hybrid print/digital version also available.

Suggested use of task cards: Print one set of task cards. Pair students together and set up a rotation so that each pair knows who they will hand off their task card to. Give each pair a task card and each student should have his/her own recording sheet to show work and record their answers. Time the students (two to three minutes) and then have them switch the card by passing it to another pair of students in the rotation. With 18 task cards (unless you have a class of 36 or more), you’ll have task cards left over. I usually give the first group a task card from my pile of left-overs and then collect the last task card from the last group in the rotation so that the students don’t have to constantly get up from their seats. This will vary depending on your class size, seating arrangements, class configuration, etc.

You can also print a set per small group (of 3 or 4 students) and have them go through the task cards together. It’s completely up to you.

Common Core Standards:

Build a function that models a relationship between two quantities.

CCSS.MATH.CONTENT.HSF.BF.A.1

Write a function that describes a relationship between two quantities.*

CCSS.MATH.CONTENT.HSF.BF.A.1.C

(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

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