Grade 5 Number and Numeration Goal: Use numerical expressions to find and represent equivalent names for fractions decimals, and percents; use and explain multiplication and division rules to find equivalent fractions and fractions in simplest form; convert between fractions and mixed numbers; convert between fractions, decimals, and percents. Unit 5: Equivalent fractions. Jesse and Kristy each bought a pizza of the same size. • Jesse’s pizza was cut into 3 equal slices. She ate 1 slice. • Kristy’s pizza was cut into 6 equal slices. She ate 2 slices. Explain using words, numbers, or pictures how Jesse did or did not eat the same amount of pizza as Kristy. Write two equivalent fractions for each of the fractions below. 5 6 9 12 Grade 5 Number and Numeration Goal: Use numerical expressions to find and represent equivalent names for fractions decimals, and percents; use and explain multiplication and division rules to find equivalent fractions and fractions in simplest form; convert between fractions and mixed numbers; convert between fractions, decimals, and percents. Unit 5: Convert between fractions and mixed numbers. Fill in the oval next to the correct number or numbers that represent the distance shown on the ruler. 2 1. If shape H represents 1, what number does Shape R represent? 2. If Shape Z represents ¾ , what number does Shape H represent? Show how you know. 3. If Shape R represents 2/3 , what number does Shape H represent? Show how you know. 8 9 26 9 1 17 9 9 2 8 Grade 5 Operations and Computation Goal: Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the addition and subtraction of fractions and mixed numbers; describe the strategies used and explain how they work. Unit 5: Add fractions using fraction sticks. Use fraction sticks to add the fractions. 3 2 A. Use red and blue colored pencils to shade the fraction strips above to represent this number sentence: 2 3 5 + 10 = ? + 2 4 B. Solve 2 3 5 + 10 = ? Grade 5 Number and Numeration Goal: Compare and order whole numbers up to 1,000,000,000 and decimals through thousandths; compare and order integers between -100 and 0; use area models, benchmark fractions, and analyses of numerators and denominators to compare and order fractions. Unit 5: Order and compare fractions. 11 15 1 5 3 5 3 8 _____ 5 By shading circles, prove your answer. Prove your answer by shading each fraction in a circle to the right. _____ 12 15 _____ 16 3
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