Standards 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:
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)=𝑎/𝑏.)
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?
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.
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)
Apply the least common multiple of two whole numbers less than or equal to 12 to solve real-world problems.
In this unit students will:
Find the greatest common factor of two whole numbers less than or equal to 100
Find the least common multiple of two whole numbers less than or equal to 12
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 factor.
Interpret and compute quotients of fractions
Solve word problems involving division of fractions by fractions using visual fraction models and equations to represent the problem.
Fluently divide multi-digit numbers using the standard algorithm
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.