Lesson 2: Working with Scale in the Cartesian Plane

What scale will you use for larger nu

Coordinates, Scale, Horizontal Axis, Vertical Axis, INPUT, OUPUT

F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

Lesson Description: This lesson teaches students how to adjust the increments on the x- and y-axes to accommodate a variety of data ranges. Students will learn that while the origin $(0,0)$ remains fixed, the value of each grid line can change based on the problem's needs. Key topics include: Choosing an appropriate scale for large numbers (e.g., intervals of 50 or 100) and small numbers (e.g., decimals).Understanding uniformity, ensuring that each unit skip on an axis represents the same numerical value. Labeling axes with context-specific units (e.g., "Time in Years" vs. "Population in Thousands").Reading and interpreting graphs where the x-axis and y-axis use different scales (e.g., 1 unit horizontally, but 10 units vertically).
Purpose: The purpose of Section 5.2 is to move algebra from a theoretical exercise to a data-driven tool. In real-world applications—like tracking a stock's growth over a decade or a bacteria culture's growth over hours—a standard 1-to-1 scale is often useless. By mastering scale, students gain the "visual literacy" required to present data honestly and interpret professional charts without being misled by the steepness or flatness of a line. This is a foundational skill for MAT 137 (Intermediate Algebra) and any subsequent laboratory science courses.
Depth of Knowledge (DOK) Level
DOK Level 2 & 3Level 2 (Skill/Concept): Correcting identifying the coordinates of a point on a non-standard grid and plotting points when the intervals are not 1.
Level 3 (Strategic Thinking): Students must make an active decision about which scale is "best" for a given set of data. They must justify why a certain interval (like 5s vs. 20s) was chosen and explain how changing the scale changes the visual "steepness" of the relationship. This requires analyzing the range of the data before even touching a pencil to the paper.

Students will apply their knowledge of scale to solve real-world problems represented on graphs.

Class and Online Work