Access Point #: MAFS.7.EE.1.AP.1bArchived Access Point

Essential Understandings

Concrete:

• Understand and apply the concepts of addition, subtraction, multiplication, and division.
• Using manipulatives, divide a number by a whole number (for example, take a group of manipulatives and divide them into equal groups).
• Create an array of objects into groups to model the role of equal groups in a multiplication situation.
• Create an array of objects (e.g., two colored counters to represent positive and negative numbers) for the mathematical expression following division rules for an expression.
• Create an array of objects (e.g., two colored counters to represent positive and negative numbers) for the mathematical expression following multiplication rules for an expression.
• Use base ten blocks to represent the numbers in the distributive property (for example, 4 (9 + 2) would look like nine blocks plus two blocks repeated four times).

• Identify multiples of whole numbers using a hundreds chart with markers.
• Identify factors of whole numbers using a hundreds chart with markers.
• Understand related vocabulary: factor, multiple, least, greatest, common, like terms, combine, variables, positive integer, negative integer.
• Draw a picture representing the distributive property.
• Understand that when using the distributive property, all of the numbers inside the parentheses are multiplied by the number outside the parentheses.
• Create a pictorial array for the mathematical equation and match the answer symbol (+ or -) following multiplication rules for an equation.
• Create a pictorial array for the mathematical equation and match the answer symbol (+ or -) following division rules for an equation.
• Use tools, as needed, to complete the four operations with integers.