Ratios | Project Based Learning
Students will explore ratios as a way to compare two quantities in real-world situations. Through a hands-on project, they will create and analyze simple ratio-based recipes for paint colors and snack mixes, then represent their findings with pictures, words, and numbers.
| Term | Definition |
|---|---|
| ratio | A comparison of two amounts. |
| compare | To tell how two or more things are alike or different in number or amount. |
| part | One section or group in a ratio. |
| whole | All the parts together. |
| model | A picture, object, or drawing that shows an idea. |
Show a simple mix such as 2 red counters and 3 blue counters. Ask: What do you notice? How many of each color are there? Introduce the idea that ratios help us compare two groups.
Observe the objects, count each group, and share what they notice and wonder.
Explain that a ratio compares two amounts. Model 2 red to 3 blue using pictures, words, and the symbol 2:3. Emphasize that ratios do not need to match the total number of objects, only the relationship between the two groups.
Repeat the ratio aloud, help label the groups, and practice reading simple ratios.
Introduce the project: students will design a pretend paint mix or snack mix using a chosen ratio, such as 1:2 or 2:3. Demonstrate how to build one mix with counters or drawings, then record it on chart paper with labels.
Work in pairs or small groups to choose a ratio, build the mix with materials, and record it with a drawing and number sentence.
Invite groups to present their mix and explain what their ratio means. Ask guiding questions: How many of each part did you use? What happens if you add one more of each part?
Present their model, use ratio language, and listen to other groups.
Give one quick challenge: If a mix has 2 red parts and 4 yellow parts, is that the same type of ratio as 1:2? Guide students to notice equivalent relationships at a simple level using pictures.
Compare the ratios and answer with support from the teacher.
Review the key idea: a ratio compares two quantities. Ask students to complete the sentence: 'A ratio is useful because it helps me ______.'
Share a final idea orally or in writing and clean up materials.
Reinforce that ratios help us compare two quantities in everyday life. Celebrate student models and remind them that math can describe recipes, mixes, and collections.