Lesson Plan

• Identify and apply properties of integers, including operations with negative numbers.
• Convert accurately between fractions, decimals, and percentages.
• Solve problems involving ratios, proportions, and percentage change.
• Perform arithmetic operations with fractions and decimals with confidence.
• Apply ratio and proportion reasoning to real‑world contexts.

• Whiteboard and markers
• Projector or interactive display
• Printed worksheets with practice questions
• Calculator (optional)
• Number line visual aid (handout or slide)

Begin with a quick mental‑math challenge: what is -8 + 13? This revisits students' understanding of integer operations from previous lessons. Today they will extend that knowledge to link integers with fractions, decimals, percentages, ratios and proportions. Success will be measured by accurate conversions and solving proportion problems.

1. Do‑now (5') – Students solve quick integer addition/subtraction problems on the board.
2. Mini‑lecture (10') – Review integer properties and demonstrate conversions between fractions, decimals, and percentages using the number‑line visual.
3. Guided practice (15') – Work through a fraction‑addition example and a decimal‑to‑percentage conversion, checking understanding via questioning.
4. Ratio & proportion activity (15') – Students simplify ratios, set up proportions, and solve for unknowns in pairs, using calculators if needed.
5. Collaborative problem set (10') – Groups tackle mixed practice questions (including real‑world scenarios) while the teacher circulates.
6. Exit ticket (5') – Individual short quiz on converting a given fraction to a decimal and solving a proportion.

Review the key steps for converting between fractions, decimals and percentages and for solving ratios and proportions. Students complete an exit ticket matching each number form to its equivalent and solving a simple proportion. For homework, assign a set of mixed conversion and proportion problems from the textbook.