=== FRACTIONS LESSON & WORKSHEET BUILDER === Resource title: Equivalent Fractions with Visual Models Grade level: Grade 3 Topic: Equivalent fractions Learning objective: Students will identify and create equivalent fractions using area models and fraction strips. Prerequisite skills: Equal parts, numerator, denominator, halves, thirds, fourths, sixths. Vocabulary: fraction, numerator, denominator, equivalent, equal parts, whole. Materials: Fraction strips, crayons, worksheet, pencil. === LESSON EXPLANATION === Equivalent fractions are fractions that name the same amount. The numbers look different, but the size of the shaded part is equal. Example: 1/2 is equivalent to 2/4 because one half covers the same amount as two fourths. === VISUAL MODEL IDEAS === Use fraction strips: Place one 1/2 strip above two 1/4 strips. Students see that the lengths match. Use area models: Draw two same-size rectangles. Divide one into 2 equal parts and shade 1. Divide the other into 4 equal parts and shade 2. Compare the shaded area. === GUIDED PRACTICE === 1. Show 1/2 and 2/4 with fraction strips. 2. Ask: Do they cover the same amount? 3. Write: 1/2 = 2/4. 4. Repeat with 1/3 and 2/6. === WORKSHEET === Student directions: Look at each model or fraction pair. Decide whether the fractions are equivalent. Part A — Visual Models: 1. Shade 1/2 of a rectangle. Then shade 2/4 of an equal rectangle. Are they equivalent? 2. Shade 1/3 of a rectangle. Then shade 2/6 of an equal rectangle. Are they equivalent? 3. Shade 3/4 of a rectangle. Then shade 6/8 of an equal rectangle. Are they equivalent? 4. Shade 1/4 of a rectangle. Then shade 3/8 of an equal rectangle. Are they equivalent? Part B — Fraction Practice: 5. 1/2 = __/4 6. 1/3 = __/6 7. 2/3 = __/6 8. 3/4 = __/8 9. 2/5 = __/10 10. 4/6 = __/3 Part C — Word Problems: 11. Mia ate 1/2 of a sandwich. Leo ate 2/4 of the same-size sandwich. Did they eat the same amount? 12. A garden is divided into 3 equal rows. One row has flowers. Another garden of the same size is divided into 6 equal rows. Two rows have flowers. Are the flower parts equivalent? 13. Sam colored 3/4 of a poster. Ava colored 6/8 of an equal poster. Who colored more? 14. A recipe uses 1/2 cup of milk. Another version uses 2/4 cup. Are the amounts the same? Part D — Challenge: 15. Write two fractions equivalent to 1/2. 16. Write two fractions equivalent to 2/3. 17. Draw a model to show 2/4 = 4/8. 18. Explain why 1/4 is not equivalent to 1/3. === ANSWER KEY === 1. Yes 2. Yes 3. Yes 4. No 5. 2 6. 2 7. 4 8. 6 9. 4 10. 2 11. Yes, 1/2 = 2/4. 12. Yes, 1/3 = 2/6. 13. They colored the same amount because 3/4 = 6/8. 14. Yes, the amounts are the same. 15. Possible answers: 2/4, 3/6, 4/8. 16. Possible answers: 4/6, 6/9, 8/12. 17. Model should show equal shaded amounts. 18. They are not equivalent because thirds and fourths divide the whole into different-size parts, and one fourth is smaller than one third. === COMMON MISTAKES === Mistake: Students think fractions are different only because the numbers are different. Correction: Use models to show that equivalent fractions cover the same amount. Mistake: Students multiply only the numerator. Correction: To make an equivalent fraction, the numerator and denominator must change by the same factor. === DIFFERENTIATION === Below level: Use only halves, fourths, thirds, and sixths with fraction strips. On level: Use visual models and simple missing-number problems. Above level: Ask students to create three equivalent fractions and explain the pattern. === TEACHER NOTES === Use manipulatives before the worksheet. Ask students to explain equivalence verbally before solving numerical problems. === PRINTABLE LAYOUT NOTES === Use large rectangles for visual models. Keep Part A on page 1 and the answer key on a separate page.