How to Analyze a Qualitative Graph | 8.F.B.5 💗
In this math video we will discover how to analyze qualitative graphs. We will analyze a graph of a functional relationship between two quantities, identify where and/or if a function is increasing or decreasing, and describe qualitative features of a function. Our focus will be the guiding question - How can you describe a relationship between two quantities qualitatively? We will begin by review key vocabulary terms. Qualitative graph - a graph, without numbers, that represents a function visually. Intervals - space between events; segments representing the domain (inputs or x values). Linear - straight lines or segments. Nonlinear - curved lines or segments. Increasing - curving or slanting upward. Decreasing - curving or slanting downward. Constant - unchanging, flat or horizontal. We will begin by analyzing section of a qualitative graph. We will understand that the graph is a relationship between two quantities. We will identify sections of a graph as increasing, decreasing and constant. We will review how to determine if a section of a graph is linear or nonlinear. We will understand how to describe a nonlinear section as increasing at an increasing rate and a linear section as increasing at a constant rate. We will discuss how to identify a constant or horizontal section of the graph and understand what it means in a real world scenario. We will understand how to read a graph with intervals and how to identify specific intervals. We will interpret graphs using a real world scenario to answer questions. Exemplar solutions are modeled and explained. Student practice is embedded in the lesson.
Purchase a set of Guided Notes for students to use while watching this video OR while you instruct using the animated Google slides below - https://www.teacherspayteachers.com/P...
Purchase the Animated Google Slides used to create this video - https://www.teacherspayteachers.com/P...
FREE Edpuzzle Video Lesson - https://edpuzzle.com/media/67ff89347a...
Website: https://www.magicofmath1.com
Instagram: / themagicofmath
TPT: https://www.teacherspayteachers.com/S...
#math
#maths
#mathematics
00:00 Introduction
00:12 Lesson Objectives & Essential Question
00:44 Vocabulary
01:37 Analyze a Qualitative Graph
04:06 Nonlinear/Increasing Fastest
06:20 Linearly vs Nonlinearly
07:50 Decreasing Linear Function
09:32 Intervals
10:28 Identify Increasing Intervals
11:40 Identify Decreasing Intervals
12:13 Problem 1 Real World Situation
13:56 Problem 2 Real World Situation
Functions
8.F.B.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.