Mastery of the Function Unit

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Objective

SWBAT complete multiple choice questions, short answers, and provide reasoning for identifying, evaluating, interpreting, and graphing functions.

Big Idea

To be able to show mastery of Function Concepts in different forms of test questions.

Lesson Author

Rhonda Leichliter

Rogers, AR

Grade Level

Ninth grade

Subjects

Algebra

Math

Standards

8.F.A.1

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Grade 8.)

HSF-IF.A.1

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

HSF-IF.A.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

HSF-IF.B.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP5

Use appropriate tools strategically.

Testing Content and Type of Questions

50 minutes

Shorter assessments

The content that I expect students to master by the end of this unit is the following:

Identify functions in multiple representations and provide reasoning
Evaluating functions using equations and graphs
Domain and Range of a function
Graphing functions using a t-table

The type of questions that I will assess students is posted below:

multiple choice
short answer
open response

In the following sections I will provide samples of test questions. I will not provide full tests because I used the state website Triand to give quick online assessments to my students as well as retakes throughout this Unit. I am giving shorter assessments this year due to the time needed to develop more in depth and rigorous curriculum for my students. Shorter assessments helps me focus on the content needs of my students. I either know to re-teach, re-test, or that the students have mastered that standard. I decided not to assess the students at this time on transformations of functions. I will test them at a later time within the unit for each function when we study each function more in depth.

Multiple choice

One of the assessments that I gave students in this Unit was a quick online test through a state website www.triand.com for Arkansas that allows educators in Arkansas to use. I am providing a few Sample multiple choice questions . As you can see from the questions, they are quick assessments to check for student understanding of identifying functions, evaluating functions, and finding domain and range.

Short Answer

I also assessed students with an online test at www.triand.com using short answers. Here are some short answer Sample Questions. By providing a variety of different types of questions, students are more prepared for different formats. I like using short answer questions because students usually have to provide reasoning, but it is less time consuming than an open response question.

Open response

I also used Open Response questions from the Arkansas state website at www.triand.com. Here is a Sample of an Open Response Question on Functions. The Open Response is more time-consuming, but again it is important to provide students with questions that require them to provide reasoning in a written format. The more variety of representations that students, as well as repetition of problems, the better they will be prepared for the PARCC exam.

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