7th and 8th Grade 

Video Summary 

This video addresses adding and subtracting signed integers. We utilize both a chip and number line representation to visualize this concept and connect it to an expression. By the end of this video, teachers should understand how the chip model, number lines, and expressions are connected and can be used to show why these rules occur. Teachers should also see how they can use chips and number lines with their students when teaching this lesson. We also include the Integer Football Activity or the Integer Card Game activity that teachers can use to further students’ understanding. 

Next Generation Math Learning Standards Addressed

NY-7.NS.1b Understand the addition of rational numbers; p + q is the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

NY-7.NS.1c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Video Summary 

This video addresses multiplying and dividing integers. We use chip models and number lines to demonstrate multiplying two positive integers, a negative by a positive integer, and a positive by a negative integer. We also use this method to show dividing two positive integers, a negative by a positive integer, and a positive by a negative integer. Then, we use multiplication families to show how to multiply two negative integers which connects to dividing two negative integers. By the end of this video, teachers should understand the general rules of these expressions.

Next Generation Math Learning Standards Addressed

NY-7.NS. 2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. 

c. Apply properties of operations as strategies to multiply and divide rational numbers.