When solving an inequality, the inequality remains true . . .
- if the same number is added to or subtracted from each side of an inequality.
- if both sides of an inequality are multiplied or divided by the same positive number.
The curriculum reinforcer, is a daily practice piece that is incorporated into almost every lesson to help my students to retain skills and conceptual understanding from earlier lessons. My strategy is to use Spiraled Review to help my students retain what they learned during the earlier part of the year. This will help me to keep mathematical concepts fresh in the students mind so that the knowledge of these concepts become a part of students' long term memories.
In today's opening exercise, I will show my students 11 yellow counters and 7 red counters. Then I will ask my students the following questions:
During instruction, I will ensure to place emphasis on the following;
When solving an inequality, the inequality remains true . . .
To help my student to understand how inequalities are used mathematically, I will use the following:
Day |
Number of Cars |
Monday |
43 |
Wednesday |
66 |
Thursday |
37 |
The first three problems are simply to allow the students to see how an expression on one side of an inequality symbol can be compared to a quantity on the other side of that same inequality symbol.
The rest of the problems are for the purpose of determining if a given quantity makes an inequality true.
Having the students to go over and explain these types of problems will help them to grasp the concept of solving one-step inequalities.
After ensuring that the students have understood the concept of inequalities as it pertains to expressions being compared to quantities. I will then model how to solve one-step inequalities using the following:
Examples:
During today's guided practice, I will have my students complete the attached worksheet. I will provide them with 7 minutes to complete the problems and then I will give them the solutions to check for accuracy before we move on to the independent practice piece.
In today's independent practice portion of this lesson, my students will complete a task entitled, "When Is it Not Equal?" This task comes from www.georgiastandards.org. During this task my students will practice solving for variables of a one-step inequality and graphing that solution. Before doing so, they will review what an inequality is, how to write inequalities when given phrases, and how to graph inequalities.
To close out today's lesson, the students will trade papers so that we can grade the worksheets and provide students with immediate feedback as to their performance on today's assignment.
Afterward, students will write the steps to solving and graphing the following inequality as a ticket out the door:
3n > 72