Unit 1 Apply and extend previous understandings of multiplication and division to divide fractions by fractions. MGSE6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, including reasoning strategies such as using visual fraction models and equations to represent the problem.
For example: • How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? • How many 3/4-cup servings are in 2/3 of a cup of yogurt? • How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? • Three pizzas are cut so each person at the table receives ¼ pizza. How many people are at the table? • Create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; • Use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc) Compute fluently with multi-digit numbers and find common factors and multiples MGSE6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.
MGSE6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. MGSE6.NS.4 Find the common multiples of two whole numbers less than or equal to 12 and the common factors of two whole numbers less than or equal to 100. a. Find the greatest common factor of 2 whole numbers and use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factors. (GCF)
Example: 36 + 8 = 4(9 + 2) b. Apply the least common multiple of two whole numbers less than or equal to 12 to solve real-world problems.