This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This lesson unit is intended to help teachers assess how well students are able to interpret percent increase and decrease, and in particular, to identify and help students who have the following difficulties: translating between percents, decimals, and fractions; representing percent increase and decrease as multiplication; and recognizing the relationship between increases and decreases.

This activity can be used to practice integer operations.  It includes addition, subtraction, multiplication and division.  Ability to edit to accomodate for number or questions and/or a specific operation is available. Students each start with their own paper.  Each student solves the first problem in the alotted time (suggested time 1 min).  When the time is up students pass their paper to a specified student next to them.  Students continue this in a circular pattern so that each students ends up with their original paper at the same time.  Correct papers at the end.   

The aim of this lesson is to help students learn the process of subtracting integers through a real world discovery activity. By the end of the lesson students should be able to:
Discover a rule for subtraction integersApply the rule they discover to subtract integers with like signsApply the rule they discover to subtract integers with different signs
Students use double sided chips to manipulate "cold cubes" and "hot cubes" in order to solve the "Chefs Amazing Soup" problem. Students are asked to add and/or remove "cold cubes" and "hot cubes" to adjust the temperature of the soup and discover rules for subtracting integers in the process.

Positive and negative numbers become more than marks on paper when learners play this variation of the card game, Rummy. Engaged in a game involving both strategy and luck, learners build understanding of additive inverses, adding integers, and absolute value. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.