NBPTS Mathematics Adolescence and Young Adulthood Exam Info

Overview This document provides information about the Adolescence and Young Adulthood/ Mathematics (AYA/Mathematics)

Component 1 computer-based assessment. It includes sample assessment center selected response items and answer key, constructed response exercises, and the scoring rubric used to assess each constructed response exercise.

Component 1: Content Knowledge Component 1: Content Knowledge is a computer-based assessment requiring candidates to demonstrate knowledge of and pedagogical practices for their teaching content area.

Candidates must demonstrate knowledge of developmentally appropriate content, which is necessary for teaching across the full age range and ability level of the chosen certificate area. AYA/Mathematics Component 1 Computer-Based Assessment In the AYA/Mathematics

Component 1 computer-based assessment, content knowledge is assessed through the completion of approximately 45 selected response items and three constructed response exercises. AYA/Mathematics Standards Measured by Selected Response Items The AYA/Mathematics selected response items focus on the following Standards:

AYA/Mathematics Constructed Response Exercises The AYA/Mathematics constructed response exercises assess the following:

Exercise 1: Families of Functions In this exercise, you will use your knowledge of families of functions to analyze the characteristics of a function and the relationship between a function and its inverse function.

You will graph a function and its inverse and discuss how the graphs are related to each other. You will also find a symbolic representation of the inverse function and demonstrate that the symbolic representation found is the inverse function. You will be asked to respond to one prompt.

Exercise 2: Geometry In this exercise, you will use your knowledge of geometry to construct a proof, explain the relationship between two important geometric concepts, and express the volume of a solid generated by the rotation of a two-dimensional object about an axis. You will be asked to respond to three prompts.

Exercise 3: Data Analysis and Statistics In this exercise, you will use your knowledge of data analysis and statistics to analyze and graph a given set of data, interpret and model data for given statistical characteristics, and estimate probabilities.

You will be asked to respond to three prompts. Each constructed response exercise will be assessed using a scoring rubric. Each AYA/Mathematics Component 1 scoring rubric is derived from the Mathematics Standards for teachers of students ages 11–18+ and defines the levels of accomplished teaching that you must demonstrate.

Sample Selected Response Items and Answer Key for AYA/Mathematics

Component 1 This section includes  sample selected response items to help you become familiar with the content and format of the items on an actual computer-based assessment. Although this section illustrates some of the types of items that appear on the assessment, note that these sample items do not necessarily define the content or difficulty of an entire actual assessment.

Please note that the selected response items cover the entire age range of the certificate. Be aware that you are expected to demonstrate knowledge of developmentally appropriate content across the full range of your certificate. an answer key.