Subtracting Fractions

Create the complete core lesson for Section 7.8-C. Use Arin only. Include all examples, visual demonstrations and the unsolved end challenge. 1. SAME DENOMINATOR VISUAL: show 6/7 − 4/7. Begin with six of seven equal parts shaded; remove four shaded seventh-pieces and show 2/7 remaining. 2. SAME-DENOMINATOR RULE: subtract numerators and keep the denominator. Example: 7/9 − 2/9 = 5/9. 3. DIFFERENT DENOMINATORS: introduce 3/4 − 2/3. Show fourths and thirds as different-sized units; explain why direct subtraction is not appropriate. 4. FIND A COMMON DENOMINATOR: show multiples of 4 and 3, and select 12. 5. CONVERT: 3/4 = 9/12 and 2/3 = 8/12, with equal-part visuals. 6. SUBTRACT: 9/12 − 8/12 = 1/12. Show one twelfth remaining. 7. MEMORY MAP: common denominator → equivalent fractions → subtract numerators → keep denominator → simplify if needed. 8. QUICK PRACTICE, with a pause before revealing each answer: 5/8 − 2/8 = 3/8 7/10 − 3/10 = 4/10 = 2/5 1/2 − 1/4 = 1/4 9. END CHALLENGE: show 5/6 − 1/4 = ?. Leave it unsolved and do not reveal the answer; it is for the next practice activity. Use clear removal animations with equal parts and mathematically accurate fraction models. Keep subtraction separate from addition; do not skip common-denominator conversion or simplification.