Hands-On Math: The Double Number Line Micro Course
Hands-On Math: The Double Number Line Micro Course
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Make Ratios and Proportions Visible with Double Number Lines
Build deeper understanding of ratios, rates, and proportions with double number lines. This hands-on micro course helps educators make proportional relationships, scale factors, and rate reasoning visible by showing how two quantities grow or shrink together. Participants will explore how double number lines can be used to solve real-world problems and help students move beyond memorized procedures toward explaining and reasoning about proportional relationships with confidence.
By the end of this course, learners will be able to:
- Model ratios, rates, and proportional relationships using double number lines.
- Apply double number lines to solve real-world problems involving proportional reasoning.
- Guide students in visualizing proportional relationships and explaining their mathematical reasoning.
Target Audience:
- Math Teachers and Coaches
Format:
- Self-paced eLearning course with interactive knowledge checks and real-world scenarios.
- The estimated time to take the course is 10 minutes.
- Downloadable Lesson plans to support student reasoning using a double (or triple) number line geared to middle school students, and can be adjusted to meet the needs of your students.
- A completion certificate is available after completing the course.

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Frequently Asked Questions
How can I contact CESA 6?
When can I expect my items?
You can expect to receive any physical products within 4-7 business days. Digital downloads will be delivered via email immediately following your purchase.
Does CESA 6 accept returns?
If you are not satisfied with your purchase, you may return most items within 30 days of the original purchase date. Returned items must be in unused and original condition with all packaging and items intact. To start a return, you can contact us at shop@cesa6.org. Return shipping costs are the customer's responsibility. Certain items cannot be returned, such as digital downloads, access to online courses, custom orders, and final sale items.
How can I apply my organization's tax exempt status to my order?
If you are a tax-exempt organization, please send a copy of your tax-exempt certificate along with the name and business email address associated with the tax exempt account to shop@cesa6.org. You will receive an email notification when the tax exemption has been applied to your account, which will then be applied to all eligible future orders.
Who is CESA 6?
We are a member-driven cooperative educational service agency located in Wisconsin. We serve school systems within our region, throughout the state, and across the country by providing educators with the latest technology, innovative resources, and valuable guidance from our experienced experts. Read more here.
More questions? Contact us