Radical Graphs Matter Sequel

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

Students will graph functions on a piece of large graph paper as a group. The teacher will display the finished product in the classroom or hallway.

This activity results from the ALEX Resource Development Summit.

Phase

After/Explain/Elaborate

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.30
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Vocabulary

x-intercept
y-intercept
Maximum
Minimum
End behavior
Linear function
Factorization
Quadratic function
Intercepts
Piece-wise function
Step function
Absolute value function
Exponential function
Domain
Range
Period
Midline
Amplitude
Zeros

Knowledge

Students know:

Techniques for graphing.
Key features of graphs of functions.

Skills

Students are able to:

Identify the type of function from the symbolic representation.
Manipulate expressions to reveal important features for identification in the function.
Accurately graph any relationship.

Understanding

Students understand that:

Key features are different depending on the function.
Identifying key features of functions aid in graphing and interpreting the function.

Learning Objectives

The students will demonstrate their ability to graph a variety of functions and label key features (zeros, intercepts, end behavior, period, amplitude, and others not listed) of the functions.

Activity Details

1. The teacher will provide the students with a list of functions to pick from or assign specific functions. (The functions can include radical, quadratic, absolute value, reciprocal, and trigonometric functions.)

2. The students will graph their functions and label key features.

3. Students can use www.desmos.com or a graphing calculator to check graphs before drawing them on the large graph paper. If the teacher does not have large graph paper then the students can use individual graph boards and will not need desmos.com.

Assessment Strategies

Students will demonstrate their ability to graph functions and label key features on those graphs by graphing the given functions. The teacher will determine if the student has successfully displayed their ability to graph functions and reteach in small groups as needed.

Variation Tips

If the teacher does not have the poster-sized graph paper, the students can do the graph on individual graph boards. If students need remediation the teacher can use small group instruction time to help the students.

Background / Preparation

The teacher will create a list of functions to have the students graph in a group. The teacher will need poster-sized graph paper. They will also need a set of graphing calculators or computers/Chromebooks if using the digital tool. The students will need yardsticks and markers for the poster-sized graph paper. (If the teacher does not have the poster-sized graph paper, individual graph boards can be used to assess understanding.)

The groups of two to four students would be appropriate for this activity. The teacher can use a deck of cards to randomly assign members to the groups or the members can be assigned to the groups by ability.

http://www.desmos.com

Approved Date

2020-07-16

Owner (Author)

shoneycutt

Design by Adaptive Theme