Grade 4 - Patterning and Algebra
Standard 4.PA.2 - Analyze and identify the property of multiplication shown in the equation.
Included Skills: Number Properties, Multiplication
Expressions and Equality • determine, through investigation, the inverse relationship between multiplication and division (e.g., since 4 x 5 = 20, then 20 � 5 = 4; since 35 � 5 = 7, then 7 x 5 = 35); • determine the missing number in equations involving multiplication of one- and two-digit numbers, using a variety of tools and strategies (e.g., modelling with concrete materials, using guess and check with and without the aid of a calculator) (Sample problem: What is the missing number in the equation __ x 4 = 24?); • identify, through investigation (e.g., by using sets of objects in arrays, by drawing area models), and use the commutative property of multiplication to facilitate computation with whole numbers (e.g., "I know that 15 x 7 x 2 equals 15 x 2 x 7. This is easier to multiply in my head because I get 30 x 7 = 210."); • identify, through investigation (e.g., by using sets of objects in arrays, by drawing area models), and use the distributive property of multiplication over addition to facilitate computation with whole numbers (e.g., "I know that 9 x 52 equals 9 x 50 + 9 x 2. This is easier to calculate in my head because I get 450 + 18 = 468.").