11/4-8/13

Wayne County High School Daily Lesson Plan

Teacher: D. Vanosdol    

Course:                Occupational Diploma  Math III

 

Framework Competency and Objective       

                                                                            Basic Algebraic          11M41-11M42                                                                                                                                  

Monday

 

Introduction to Inequalities

Focus of Lesson

 (Student-Friendly Objective)

The student will explore and discuss Inequalities

Introduction of Lesson

Inequalities tell you the relative size of two values. Mathematics is not always about "equals"! Sometimes you only know that something is bigger or smaller.  Example: Alex and Billy have a race, and Billy wins! What do we know?  We don't know how fast they ran, but we do know that Billy was faster than Alex:  We can write that down like this: b > a.  (Where "b" means how fast Billy was, ">" means "greater than", and "a" means how fast Alex was) We call things like that inequalities (because they are not "equal")

Eagle Challenge

(3-5 minutes)

 

Write notes about inequalities from smart board.

Learning Tasks/Activities

Class will discuss inequalities and how to solve them after writing notes from the introduction. Student will practice solving inequalities on individual white boards.

Closure

Observe student work and check to make sure each student recorded all notes on the introduction.

Tuesday

Solve and graph simple Inequalities

Focus of Lesson

 (Student-Friendly Objective)

The student will solve simple inequalities and graph the answers on a number line.

Introduction of Lesson

 "Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. How to graph inequalities

  1. Draw a circle around the number to which the variable is unequal.
  2. Fill in the circle if and only if the variable can also equal that number.
  3. Shade all numbers the variable can be.
  4. Here is what y ≤ 2 looks like:

number line

1.  An open circle is placed on the number line to show that the number denoted at the circle is not included in the solution set.

2.  A circle that is filled in is placed on the number line to show that the number denoted at the circle is included in the solution set.

 

Eagle Challenge

(3-5 minutes)

Discuss notes on inequalities making sure their partner has all information recorded in algebra notebook.

Learning Tasks/Activities

Students will solve inequalities on their individual white boards.

Students will solve graph inequalities on a number line.

Students will solve and graph 24 inequalities on a handout.

Closure

Check students work for accuracy

Wednesday

 

Focus of Lesson

 (Student-Friendly Objective)

Solve and graph Inequalities

Lesson Introduction

Continue from Tuesday

Eagle Challenge

(3-5 minutes)

Pre bell

Learning Tasks/Activities

Continue from Tuesday

Closure

Students work will be graded

 

Thursday

 

Absolute value Inequalities

Focus of Lesson

 (Student-Friendly Objective)

The student will solve, algebraically and graphically, absolute value equations and inequalities.

Introduction of Lesson

An absolute value equation is an equation that contains an absolute value expression. You begin by making it into two separate equations and then solving them separately. An absolute value equation has no solution if the value expression equals a negative number since and absolute value can never be negative.

Eagle Challenge

(3-5 minutes)

Pre-bell

Learning Tasks/Activities

Discussion and examples of solving inequalities.

Work as a group on individual white boards to solve problems

Use activity cards to practice graphing absolute value inequalities.

Closure

Solve absolute value inequalities individually.

Teacher and student will check for accuracy together.

Friday

Solve and Graph Absolute Value Inequalities

Focus of Lesson

 (Student-Friendly Objective)

The Student will Solve and Graph an Absolute Value Inequality

Introduction of Lesson

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

 

Eagle Challenge

(3-5 minutes)

Pre-bell

Learning Tasks/Activities

Students will choose one problem from Thursdays work for the teacher to work for examples on the board. Students will solve and graph 10 absolute value inequalities.

Closure

Student participation and observation.

Grade students work on handout.

IEP Accommodation (if applicable)

Cue student to stay on task

Reduced assignments

Test directions and test items read to students

Use of fact chartsdjdjdjdja;kjshf98[u

Remediation/intervention

Extra instruction, peer tutoring, guided practice, independent practice with teacher help, formula sheets

Enrichment/Challenge for upper 25%

Construct a number line on the floor, and have students physically represent distances from zero and solution sets to absolute value equations and inequalities.

line math games, challenge questions in text

Assessment (pre and/or post)

Observation, student independent work, test, lesson review

Resources/Materials

Internet, smart board, Pre-GED workbooks, worksheets, formula handouts