Percents, Ratios, & Proportional Reasoning

The second mini-course in the ANDE sequence: Percents, Ratios, & Proportional Reasoning

Goal

ANDE Ascent, the second mini-course, guides adult learners upward as they build their knowledge and skills with proportional reasoning, using real-world scenarios like shopping, calculating percentages, and reading scale drawings. 

Course Overview

For Instructors

Through collaborative, discussion-driven lessons, ANDE Ascent helps learners gain confidence working with ratios, rates, and percentages, and build skills they can use to solve everyday problems.


General Audience

  • Aligned with NRS Levels 3 & 4 and CCRS Levels C–D (grades 6–8), and written for clarity and accessibility, meeting a Flesch Reading Ease score of 60–70 (grades 7–9);
  • Builds the skills needed to compare quantities, make smart decisions, and calculate percent changes in real-life contexts; and
  • Focuses on collaborative learning, discussion, and hands-on problem-solving.

Lesson Overview

ANDE ascent contains 8 units:
  1. Exploring Unit Rates: Understand how unit rates work and where they appear in daily life.
  2. Identifying Proportional Relationships: Learn to spot and use proportional relationships in practical contexts.
  3. Calculating Percent Increases and Decreases: Figure out changes in percentage in everyday scenarios.
  4. Working with Scale: Apply scale to interpret drawings and maps.
  5. Using Tables and Graphs: Use visual tools to compare quantities and solve problems.
  6. Modeling with Tape Diagrams & Double Number Lines: Build fluency representing and solving problems visually.
  7. Making Informed Decisions: Use math skills to compare options and make confident choices.
  8. Applying What You’ve Learned: Bring together your new skills in real-life problem-solving tasks.

License & Attribution

We’re sharing our content as Open Educational Resources (OER) using a Creative Commons BY NC 4.0 license.

Unless otherwise noted, content is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY NC 4.0).

ANDE Ascent Resources

Instructor
Materials
(Google Docs)

ANDE ascent: Solutions Pack for Preparation Activities
ANDE Instructor Handbook
Lesson B1 - Instructor
Lesson B2 - Instructor
Lesson B3 - Instructor
Lesson B4 - Instructor
Lesson B5 - Instructor
Lesson B6 - Instructor
Lesson B7 - Instructor
Lesson B8 - Instructor