Mr. Jordan's Class



Secondary Math One: An Integrated Approach

Module 3: Features of Functions Parent Guide

Materials: Secondary Mathematics One: An Integrated Approach by the Mathematics Vision Project

Module 3 is focused on developing a deeper understanding of key features of functions,

Tasks 1, 2 and 3 explore key features of functions such as:

• intervals on where a function is increasing, decreasing, or constant

• maximums and minimums

• domain and range

• intercepts

• discrete versus continuous

• and informally, rate of change

Student will learn how to find these key features from various representations including tables, graphs and story context.

Task 4 builds on the concepts students explored in previous modules, and the first three tasks of Module 3. Students were introduced to function notation and interval notation in previous modules and will interpret that notation and develop precision in use of the notation.

Task 5 introduces combining functions, and will continue to deepen the understanding of function notation. Students will connect multiple representations (context, equations, and graphs) to further develop their understanding of the key features of functions and function notation.

Task 6 and 7 provide opportunities for more exploration and practices with the concepts of this module.

Main Objectives:

• Functions:

o Identify key features of a function in various forms (context, equations, tables and graphs.

o Interpret functions and their notation.

o Combine functions and analyze contexts.

o Connect multiple representations of functions.

Video support for new Concepts:

• Functions

A link to a video explaining the key features of functions.

Note: The videos below go beyond what is covered in this module.

A link to a second video explaining the key features of a function.

A link to practice problems to determine if a relation is a function.

Video support for concepts taught in previous modules.

• Function Notation.

Here is a link to a video on function notation.

Communication, Justification and Collaboration Skills:

A major component of the Math Vision Project curriculum is the development of communication skills, collaboration skills, and the ability to justify the process of solving a problem. Students will work on communication and justification skills in collaborative groups and explain their thinking in writing, in small group discussions, and in classroom presentations.

The Ways of Knowing Continuum below will help students assess what type of information they use to base their justification. As students move along (or back and forth) on the continuum, their problem solving and communication skills will become more sophisticated.

How do you know?

Based on what…

Level 0: Visual. “Because it LOOKS like it!”

Level 1: Authority. “My teacher TOLD me…”

Level 2: Experimentation with SPECIFIC cases.

Level 3: Reasoning from a diagram

Level 4: Reasoning from statements accepted by the community of practice as true (Definitions, Postulates, and Theorems)

Students should be able to self-assess the level of their justification. As your student works on their justification skills, a parent might prompt their student to think about the source of the information they are using to build their justification. Ideally students should move up to level 4, but this skill is built into all the MVP modules will be developed over time and practice.

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