Introduction to Inequalities Symbols I need help to prepare

Introduction to Inequalities Symbols.

I need help to prepare a 40 minute lesson plan on the above topic under the following headings:

Aim, Prior Knowledge, Learning Outcomes, Catering for Learner Diversity, Lesson Interaction, Resources to be used in the Lesson (including appropriate diagrams and suggested websites), Homework examples.

I would appreciate a few pointers on each of these headings. (A few extra pointers on Lesson interaction would be appreciated).

(Note: Please don’t answer unless pointers are given for each of the topic headings)

Solution

Aims

The aim of this series of lessons is to enable students to:

•enable students to understand the relationship between numbers

•enable students to represent inequalities on the number line

•enable students to solve linear inequalities and relate these to everyday life

Prior Knowledge

Students have prior knowledge of:

•Sets

•Number systems

•How to represent all number systems on the number line

•Order of numbers on the number line

•Patterns including: completing tables and drawing graphs of patterns

•Linear equations in one unknown

Learning Outcomes

As a result of studying this topic, students will be able to:

•determine if a number is less than, less than or equal to, greater than or greater than or equal to another number

•represent solutions to inequalities on the number line

•simplify and solve linear inequalities by table, graph and/or formula

Catering for Learner Diversity

In class, the needs of all students, whatever their level of ability level, are

equally important. In daily classroom teaching, teachers can cater for different

abilities by providing students with different activities and assignments graded

according to levels of difficulty so that students can work on exercises that

match their progress in learning. Less able students, may engage with the

activities in a relatively straightforward way while the more able students

should engage in more open-ended and challenging activities.

In interacting with the whole class, teachers can make adjustments to meet

the needs of all of the students.

Apart from whole-class teaching, teachers can utilise pair and group work to

encourage peer interaction and to facilitate discussion. The use of different

grouping arrangements in these lessons should help ensure that the needs

of all students are met and that students are encouraged to articulate their

mathematics openly and to share their learning

lesson interaction

A: Revision of <, >, and symbols.

B: Revision of Number Systems.

C: Number Systems and the Number Line.

E: Multiplying and Dividing by a Negative Number.

F: Solving inequalities of the form –ax+b<c.

G: Solving inequalities graphically.

H: To investigate the rules of inequalities.

I: Double inequalities.

homework examples

Example: 3x < 7+3

Example: 2y+7 < 12

Solve: x + 3 < 7

Solve: -2y < -8