Learning Activity

Radical Graphs Matter Prequel

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

Students can graph the parent functions. They will use paper and pencil to graph the basic parent functions and list the key features of each function.

This activity results from the ALEX Resource Development Summit.

Content Standards

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.

Unpacked Content

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.

Interdisciplinary Connections

Phase

Before/Engage

Learning Objectives

The student will graph the parent function of various functions (square root, absolute value, quadratic, and trigonometric functions, to name a few) and list key features.

Activity Details

1. The teacher will need a list of the parent functions and their graphs.

2. Students will need graph paper, rulers, pencil, and a list of the parent functions.

3. The teacher will have the students graph the parent functions on graph paper. After they have completed this part of the task then the students can use graphing calculators to check their graphs. If the students do not have graphing calculators then they can use the graphing calculator online at www.desmos.com. Then the students need to record key features of the graph on their paper (such as zeros, intercepts, end behavior, etc.).

4. After students have checked their work they may turn it in for grading.

5. The teacher will monitor students' progress and assist students as needed. This activity can be done without modeling to see where the students are on their knowledge of graphing. After determining their level, modeling can be done to assist, or you may do before as you deem necessary.

Assessment Strategies

The students will demonstrate their ability to graph the parent functions by drawing them on graph paper and turning them into the teacher. The student will also demonstrate their ability to label the key features of the graph. The teacher will determine if the students have successfully completed this task and return the graphs with a grade. If the teacher deems the graphs unsuccessful, then they will reteach using small group time.

Acceleration and Intervention

Variation Tips

The parent functions can be used later to teach the transformations of functions. If the teacher has not taught that lesson yet, they can use the results from this activity to save time and not have to recreate the graphs.

Background and Preparation

Background / Preparation

The teacher will need to make a list of the parent functions from the website provided. Teachers will need a set of graphing calculators or access to an internet-capable device. Teachers who have a set of individual graphing boards can use them instead of the computer or calculators. The students will need graph paper, rulers, pencils, and a list of the parent functions.

Digital Tools / Resources

http://www.desmos.com

Approved Date

2020-07-08

Author

Owner (Author)

shoneycutt

Design by Adaptive Theme

Learning Resource Type