Grade 6 - Number Sense and Numeration
Standard 6.NSN.2 - Practice identifying different properties of addition given an equation.
Included Skills: Number Properties, Addition
Operational Sense • use a variety of mental strategies to solve addition, subtraction, multiplication, and division problems involving whole numbers (e.g., use the commutative property: 4 x 16 x 5 = 4 x 5 x 16, which gives 20 x 16 = 320; use the distributive property: (500 + 15) � 5 = 500 � 5 + 15 � 5, which gives 100 + 3 = 103); • solve problems involving the multiplication and division of whole numbers (four-digit by two-digit), using a variety of tools (e.g., concrete materials, drawings, calculators) and strategies (e.g., estimation, algorithms); • add and subtract decimal numbers to thousandths, using concrete materials, estimation, algorithms, and calculators; • multiply and divide decimal numbers to tenths by whole numbers, using concrete materials, estimation, algorithms, and calculators (e.g., calculate 4 x 1.4 using base ten materials; calculate 5.6 � 4 using base ten materials); • multiply whole numbers by 0.1, 0.01, and 0.001 using mental strategies (e.g., use a calculator to look for patterns and generalize to develop a rule); • multiply and divide decimal numbers by 10, 100, 1000, and 10 000 using mental strategies (e.g., "To convert 0.6 m2 to square centimetres, I calculated in my head 0.6 x 10 000 and got 6000 cm2.") (Sample problem: Use a calculator to help you generalize a rule for multiplying numbers by 10 000.); • use estimation when solving problems involving the addition and subtraction of whole numbers and decimals, to help judge the reasonableness of a solution; • explain the need for a standard order for performing operations, by investigating the impact that changing the order has when performing a series of operations (Sample problem: Calculate and compare the answers to 3 + 2 x 5 using a basic four-function calculator and using a scientific calculator.).