🏮 Did you know? The Harvest Moon Festival is celebrated across many Asian cultures, and in Hong Kong, China the Mid-Autumn Festival is one of the biggest celebrations of the year. Families gather in parks, by the water, and on the Peak or nearby mountains and hills to see dazzling lantern displays and gaze together at the full autumn moon. The classic Hong Kong moon cake is filled with sweet lotus seed paste, with a salty egg yolk round like the moon in the center. Typically families slice the dense cake into equal parts to share with family and friends. Today we will practice fractions the same way, by sharing moon cakes fairly!
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Standards Alignment
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Kindergarten & 1st Grade
1.GSR.4.3Partition circles and rectangles into two and four equal shares.
2nd & 3rd Grade
2.GSR.7.3Partition circles and rectangles into two, three, or four equal shares. Identify and describe equal-sized parts of the whole using fractional names (halves, thirds, fourths, half of, third of, quarter of, etc.).
3.NR.4Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.
3.NR.4.1Describe a unit fraction and explain how multiple copies of a unit fraction form a non-unit fraction.
3.NR.4.4Recognize and generate simple equivalent fractions.
4th & 5th Grade
4.NR.4.1Demonstrate and explain the relationship between equivalent fractions, and explain the identity property of multiplication as it relates to equivalent fractions.
4.NR.4.2Compare two fractions with the same numerator or the same denominator by reasoning about their size.
4.NR.4.3Compare two fractions with different numerators and/or different denominators using a variety of tools and strategies.
5.NR.3.2Compare and order up to three fractions with different numerators and/or different denominators.
Kindergarten & 1st Grade
1.G.A.3Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares.
2nd & 3rd Grade
2.G.A.3Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths.
3.NF.A.1Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts.
3.NF.A.3Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
4th & 5th Grade
4.NF.A.1Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models.
4.NF.A.2Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2.
Kindergarten & 1st Grade
1.G.3Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.
2nd & 3rd Grade
3.G.2Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
3.NF.3Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
4th & 5th Grade
4.NF.1Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models.
4.NF.2Compare two fractions with different numerators and different denominators, e.g., by comparing to a benchmark fraction such as 1/2.
Kindergarten & 1st Grade
NC.1.G.3Partition circles and rectangles into two and four equal shares. Describe the shares as halves and fourths, as half of and fourth of.
2nd & 3rd Grade
NC.2.G.3Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the words halves, thirds, half of, a third of, fourths, fourth of, quarter of.
NC.3.NF.1Interpret unit fractions with denominators of 2, 3, 4, 6, and 8 as quantities formed when a whole is partitioned into equal parts.
NC.3.NF.3Represent equivalent fractions with area and length models by composing and decomposing fractions into related fractions: halves, fourths and eighths; thirds and sixths.
4th & 5th Grade
NC.4.NF.1Explain why a fraction is equivalent to another fraction by using area and length fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size.
NC.4.NF.2Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Kindergarten & 1st Grade
1.G.A.3Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.
2nd & 3rd Grade
2.G.A.3Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths.
3.NF.A.3Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
4th & 5th Grade
4.NF.A.1Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models.
4.NF.A.2Compare two fractions with different numerators and different denominators.
Kindergarten & 1st Grade
NY-1.G.3Partition circles and rectangles into two and four equal shares. Describe the shares using the words halves, fourths, half of, a fourth of.
2nd & 3rd Grade
NY-2.G.3Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the words halves, thirds, half of, a third of, etc.
NY-3.NF.1Understand a unit fraction, 1/b, is the quantity formed by 1 part when a whole is partitioned into b equal parts.
NY-3.NF.3Explain equivalence of fractions and compare fractions by reasoning about their size.
4th & 5th Grade
NY-4.NF.1Explain why a fraction a/b is equivalent to a fraction (a×n)/(b×n) by using visual fraction models. Use this principle to recognize and generate equivalent fractions.
NY-4.NF.2Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole.
Band
🥮 Cut the Moon Cake 🌕
Tap a button to share your moon cake!
Pieces shared so far
Choose how many people will share the moon cake. Each person gets an equal piece. Tap the pieces to separate them and see the fractions clearly.
Question 1
🎉 Moon Cake Complete! 🎉
Great sharing! Type your name for your festival receipt.
Scan to check completion on the Miraculous Math Moments™ game checker