Introduction to Graphing
The graphing tool provides a versatile way to explore and analyze mathematical concepts. It supports graphing linear, exponential, and quadratic equations, as well as plotting individual points for custom visualizations. With features like adjustable asymptotes, it offers flexibility and precision, making it suitable for a variety of teaching and learning needs. Use this guide to get started.
Add a Graphing question
1. Click on the blue + button to open the 'Add Item' window
2. Choose Graphing from the Paid Questions list
3. Click the dropdown and choose from linear, quadratic, exponential, or points.
4. Click the graph to plot points to set your answer key. You must plot 2 points to create a line.
To remove a point, simply click the point you would like to remove.
You are also able to drag points even once placed.
Changing the graph type will also change the line.
5. Opening the Graph settings allows you to add up to 4 graphs, as well as toggle on Student settings to manipulate the graph.
If multiple graphs have been added; you will simply click on the graph number to add data.
You can also designate to show tick marks in decimals or fractions format
6. Access the student preview to see how one, or multiple, graphs would look for your students. When a graphing question is added; students will get instructions on how to use the graph.
Adjust question settings
Students will not be able to submit their work without providing an answer
Add a whiteboard style box for your students to showcase their work
Switch scoring method for this question from auto-grading to a rubric based grading.
You can also add hints for your students, and tag the question to standards.
Using the Number Line Feature
The Number Line feature, available under the Graphing question type (and also available as a separate question type), is an ideal tool for visual learning and building number sense. It allows students to plot points, inequalities, and intervals right on the number line, providing a dynamic way to explore mathematical concepts. Use this guide to get started.
Add a Number Line question
Add a Graphing question type
Click the dropdown and choose Number Line
Click directly on the number line to plot a point.
Clicking on endpoints allows them to change from open to closed points.
Toggle the Left and Right arrow toggles to add arrows
To remove an element, click the point or interval you would like to remove.
Graphing Compound Inequalities
For graphing compound inequalities, you can graph each part of the inequality on a separate number line to better visualize the solution set. To do this, go to Settings and choose 2 for the number of graphs. This will give you two number lines, allowing you to plot each individual inequality.
NEW! - Customizing the Graph View (Axes, Intervals, and Labels)
To ensure your graph precisely reflects the mathematical concepts you are teaching, you now have granular control over the X and Y axes' viewing window and presentation. This feature is crucial for focusing student attention on specific quadrants, domains, or scales relevant to the assessment.
How to Customize the Axes
Access Settings: After adding a Graphing question, click the 'Graph settings' button (often represented by a gear icon).
Navigate to Axes Control: Look for a tab or section titled 'Axis Customization' or 'View Window.'
Setting Function Example Use Case
Minimum (Min) Sets the lowest numerical value displayed on the axis. Setting X-Min to $-5$ and Y-Min to $0$ to focus only on the first two quadrants.
Maximum (Max) Sets the highest numerical value displayed on the axis. Setting X-Max to $10$ for a problem focused on 10 trials or 10 years of data.
Interval Defines the step size between tick marks on the axis. Setting the Y-Axis Interval to $0.5$ to force students to analyze decimal increments, or to $100$ for financial data.
Axis Label Allows you to label the axis with descriptive text. Changing the standard 'x' label to "Time (in seconds)" or the 'y' label to "Population Growth."
Note on Intervals: If you do not specify an Interval, Formative will automatically choose a clean interval based on your set Minimum and Maximum values. By controlling the axes, you eliminate external factors (like poor window scaling) that can confuse students, ensuring they are tested purely on their mathematical understanding of the function or data set.
Integrated Calculator Experience (Paid Teacher / School & District feature)
Paid Teacher / School & District subscribers will have the option to turn on access to an integrated calculator for their students to use. Click here for full details!