Illuminations: Making Sense of Percent Concentrations

Making Sense of Percent Concentrations


These activities guide students through a rich exploration of percent concentration using both tactile experiences and real-world applications. Students predict, model, and generalize their conjectures about percent concentrations.

Math Content

Students will:
  • Explore, estimate and apply percent concentrations
  • Generalize a formula from specific experiences

Individual Lessons

Lesson 1 - Mix It Up

In this lesson, students will use two colors of beads to form two different percent mixes, and then form a final mix using scoops from the two mixes. From this tactile start, students will develop and use a formula to determine the final percent mix from two source mixtures.

Lesson 2 - Don't Freeze the Engine

In this lesson, students will learn to read an antifreeze chart to determine the necessary mix of antifreeze and water for protection against various temperatures. Students will then numerically analyze a particular cooling system to determine how much fluid to drain in order to get the desired percent concentration of antifreeze. Finally, students will set up a system of equations to solve the same system.

NCTM Resources

Navigating Through Algebra in 9‑12

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