This lesson introduces students to the concepts of negative numbers and how to add and subtract with integers. This will help students understand situations in which negative numbers apply as well as get students started with reasoning using abstract concepts.
At the end of this lesson, students will be able to:
Compare integers
Add with integers
Subtract with integers
Student Target
“I can compare, add, and subtract integers.”
CCR Focus Standards
Number and Ratios - Level D
Understand ordering and absolute value of rational numbers.
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Supporting Standards
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
Understand p + q as 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.
Standards for Mathematical Practice
Reason abstractly and quantitatively. (MP.2)
Model with mathematics. (MP.4)
Look for and express regularity in repeated reasoning. (MP.8)
KYAE Employability Standards
E.7 Accurately analyze information and respond appropriately.
E.8 Interact with others in a professional manner.
E.9 Analyze self-performance to better understand strengths and areas for improvement.
