Fractions & Decimals

Proof required

Submit a photo of a completed worksheet showing at least 10 fraction problems: naming fractions from models, drawing fraction models, placing fractions on a number line, and finding equivalent fractions — with a parent or teacher note confirming the answers.

What gets checked

• All four types of problem included: name, draw, place on number line, find equivalent
• 8 of 10 problems correct
• Denominators covered include at least 4, 6, and 8 (not just 2 and 4)

Common mistakes

• Understanding the fraction symbol without connecting it to a model — '3/4' must mean something tangible (3 of 4 equal parts) before operations on fractions make sense
• Skipping equivalent fractions because they feel abstract — equivalent fractions are required for adding fractions with different denominators at the next level

Resources

What a verifier looks for

• Point to a fraction (e.g. 5/6) and ask the student to draw the model — they should shade 5 of 6 equal parts
• Ask for an equivalent fraction: 'what is another way to write 1/2?' — they should say 2/4 or 3/6
• Place a finger on a blank number line between 0 and 1 and ask 'where would 3/4 go?' — they should mark the third of four equal divisions

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Proof required

Submit a photo of completed work showing 10 fraction addition/subtraction problems (same denominator) and 5 fraction-to-decimal conversions, with the work shown for each — and a parent or teacher note confirming the answers.

What gets checked

• 8 of 10 fraction addition/subtraction problems correct, work shown
• Fractions simplified to lowest terms where applicable
• 5 fraction-to-decimal conversions correct using denominators 2, 4, 5, 10, 100

Common mistakes

• Adding numerators AND denominators (e.g. 1/3 + 1/3 = 2/6 instead of 2/3) — this is the most common fraction error; reinforce that the denominator names the type of part and doesn't change when parts are combined
• Treating decimals as a separate topic from fractions — 0.25 = 25/100 = 1/4 should be connected explicitly, not memorized in isolation

Resources

What a verifier looks for

• Check that fraction addition shows the working (e.g. 2/5 + 1/5 = 3/5) — not just the answer
• Ask the student to explain why 1/3 + 1/3 = 2/3 and not 2/6 — they should reference equal parts of the same size
• For decimal conversions: ask 'what decimal is the same as 3/4?' without a calculator — should answer 0.75

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Proof required

Submit a screenshot of your Khan Academy 4th or 5th Grade Math course showing 80%+ in the course mastery meter, specifically covering fractions and decimals (or a teacher-graded test on fractions and decimals scoring 80%+). Your name must be visible.

What gets checked

• 80%+ on the overall course or on the fractions and decimals units specifically
• Both fraction concepts (comparing, equivalent) and fraction arithmetic (addition/subtraction) covered
• Decimal section included — not just fractions

Common mistakes

• Covering only fraction concepts and skipping fraction arithmetic — both must be covered to pass this level
• Confusing the course-level mastery percentage with the unit-level percentage — submit the full course summary

Resources

What a verifier looks for

• Confirm 80%+ on the course summary, or on a test that includes both fraction concepts and decimal conversions
• If teacher-graded: verify the test includes both equivalent fractions and decimal-fraction connections
• Student's name must be visible on the submission

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