As part of the pre-assessment, you will complete a Diagnostic Worksheet containing 5 simple problems involving percentage, base, and rate. This activity will help you activate your prior understanding and identify any areas of difficulty related to the topic. 

After completing the diagnostic activities, each group of 5 members will gather to compare their answers. The goal is to learn from each other’s solutions, recognize patterns, and deepen your understanding of percentage, base, and rate through discussion. 

Guide Questions for Group Discussion:

• Are our answers the same or different? 

• How did you solve the problems? 

• What patterns do you notice about percentages, bases, and rates? 

• What have you learned from each other’s answers? 

Note-Taking Activity: Once your group has finished discussing, you will work together to write short notes in your notebooks. These notes will help you remember the important concepts. 

You will practice solving word problems involving Percentage (P), Base (B), and Rate (R) by applying the appropriate formulas. You will collaborate in dyads or triads to work through problems and share your reasoning with one another. 

Questions:

1. Finding the Percentage (P = B × R)

“45 elderly respondents said they sometimes worry about medical expenses. If there were 60 total respondents, what percent of them worry sometimes?”

2. Finding the Base (B = P ÷ R)

“60% of the elderly respondents said they take maintenance medicine daily. If that’s 36 people, how many total respondents were there?”

3. Finding the Rate (R = P ÷ B)

“12 elderly people said they experience joint pain. If there were 48 respondents, what percentage is that?”

Share & Reflect: Once your group has solved the problems, share your solutions with each other and reflect on the process.

Choose the best 10 ideas and turn them into short, clear questions. All questions should be answerable by “Always,” “Sometimes,” or “Never.”

These answers will help you gather data for calculating:

• Base (B): Total number of respondents

• Percentage (P): Number of people who gave a specific answer

• Rate (R): The part over the whole (expressed as a percent)

Example Question:

“Do you have someone to assist you when you go to the doctor?”

If 15 out of 30 people say “Always,” then:

P = 15, B = 30, R = 15 ÷ 30 = 0.50 = 50%

Each group rewrites their final survey questions on a clean sheet or slide. They check if their questions:

• Use clear and respectful language

• Match the theme (transportation, budgeting, healthcare)

• Can be answered easily by a senior citizen

Peer and Self-Assessment are tools for promoting reflective learning and collaboration among students. Through self-assessment, students evaluate their own work, identifying strengths and areas for improvement. This process fosters critical thinking and self-awareness, as they take ownership of their learning journey. By reflecting on their progress, they develop a growth mindset and the ability to set realistic goals for personal improvement.

Peer assessment, on the other hand, encourages students to provide constructive feedback to one another. This interaction enhances communication skills, builds a sense of responsibility, and nurtures mutual respect. It also allows students to gain diverse perspectives, improving their ability to evaluate work objectively. Together, self and peer assessment not only promote academic growth but also cultivate interpersonal skills and a collaborative mindset.