INTRODUCTION OF

THE LESSON

HIDE AND SEEK

ESSENTIAL QUESTION

How do people approach their problems in life?

UNIT QUESTION

• How do systems of linear equations and inequalities in two variables facilitate finding solutions to real-life problems and making decisions?

CONTENT QUESTIONS• What is a linear equation?• What is an inequality?• What are the systems of linear equations in two

variables?• How do we solve systems of linear equations and

inequalities in two variables?• How to graph system of linear equation and

inequalities in two variables?• When can we say that linear equation has one

solution? no solution? or infinitely many solutions?

TARGET STANDARDS

The learner demonstrates understanding of key concepts of systems of linear equations and inequalities in two variables.

LEARNING OBJECTIVES

• At the end of the unit, the students will be able to:

• describe systems of linear equations and inequalities using practical situations and mathematical expressions.

• identify which systems of linear equations have graphs that are parallel, intersect and coincide.

• graph systems of linear equations in two variables.

• solve systems of linear equations by (a) graphing; (b) elimination; (c) substitution.

• graph system of linear inequalities in two variables.• solve a system of linear inequalities in two variables by graphing.• solve problems involving systems of linear equations and inequalities in two variables.

UNIT SUMMARYIn this unit, the students study systems of

linear equations and inequalities involving two variables. It includes solving and graphing with the use of different strategies. Students draw systems of linear equations from real-life situation and graph each system through the use virtual manipulative like Geogebra or Geometer’s Sketchpad for efficiency and accuracy. Then, they perform role-playing real-life situations by video clip where systems of linear equations in two variables are applied. For the project, they design or sketch plan of an expanded school vegetable garden through the use of a software like like Geogebra or Geometer’s Sketchpad

for efficiency and accuracy. Then, they perform role-playing real-life situations by video clip where systems of linear equations in two variables are applied. For the project, they design or sketch plan of an expanded school vegetable garden through the use of a software like Google Sketchup that demonstrates student’s understanding of systems of linear equations and inequalities in two variables. Then, they use the design or sketch plan of an expanded garden in formulating and solving problems involving systems of linear equations and inequalities in two variables.

CONTENT OF ACTIVITIESWEEK 1Day 1• Introduce the following Unit Question:How do systems of linear equations and inequalities in

two variables facilitate finding solutions to real-life problems and making decisions?

Day 2• Pre-test (Multiple Choice Test through a Microsoft

Word)Day 3• Discussion for Lesson 1: Systems of Linear Equations

an their Graphs

Day 4• Teacher will facilitate the students as they practice

manipulating the application of Geometers Sketchpad individually at the Computer room.

Day 5• Individual Performance Test about the Lesson 1

topic using the Geometers Sketchpad at the Computer room guided with scoring guide on problem solving.

 

WEEK 2

Day 1• Discussion with for Lesson 2: Solving and

Graphing Systems of Linear Equations

Day 2• Students will have an activity which deals with

real life situation that involves linear equation and inequalities in two variables then solve using the Geometer’s Sketchpad and Math Type for writing equations.

Day 3• Discussion for Lesson 3: Graphical Solutions of

Systems of Linear Inequalities in Two variables.

Day 4The teacher will divide the students into five

groups then they will be given a set of problems in Linear equation and Inequalities and let them generate their ideas through brainstorming on how they will describe and compare the graph of linear equation and inequalities through Geometers Sketchpad.

Day 5• Journal Writing (type written)

Expressing Understanding of systems of linear equations in two variables

Expressing Understanding of finding solutions of systems of linear equations in two variables graphically and algebraically.

Expressing Understanding of systems of linear inequalities in two variables

WEEK 3Day 1• Questioning through an open forum regarding on

the whole topic.Day 2• They will be divided into 5 groups. Then, the

teacher will present and discuss the Rubric on Design or Sketch Plan, Rubric on Problem Solving and Rubric on Explanation as they plan their project on sketch plan on expanded rectangular garden at least 1hectares.

Day 3• They work on designing their project through the

use of Google Sketchup then formulate and solve problems guided.

Day 4• Present and defend their project on sketch plan of

the expanded rectangular garden atleast 1hectare by following the Rubric on Explanation through Powerpoint Presentation.

Day 5• Type written Reflection /Generalization of the

whole topic.

RUBRICS