Graphing Inequalities

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Solving Systems of Inequalities by Graphing

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Presentation transcript:

Graphing Inequalities L.O. All pupils can manipulate inequalities to show their values on a number line All pupils can represent linear inequalities with one variable on a Cartesian plane Most pupils can represent linear inequalities with two variables on a Cartesian plane Key Words

Why might we use inequalities in everyday life? Starter: Why might we use inequalities in everyday life?

Graphing Inequalities L.O. All pupils can manipulate inequalities to show their values on a number line All pupils can represent linear inequalities with one variable on a Cartesian plane Most pupils can represent linear inequalities with two variables on a Cartesian plane Key Words

Main 1: Volunteer to write some questions on the board. manipulate inequalities to show their values on a number line Volunteer to write some questions on the board. Your classmates will have to solve them.

Write the solutions on your mini wipeboards. Main 1: manipulate inequalities to show their values on a number line Write the solutions on your mini wipeboards.

Graphing Inequalities L.O. All pupils can manipulate inequalities to show their values on a number line All pupils can represent linear inequalities with one variable on a Cartesian plane Most pupils can represent linear inequalities with two variables on a Cartesian plane Key Words

linear inequalities with one variable on a Cartesian plane Main 2: linear inequalities with one variable on a Cartesian plane Write some questions fitting the description: Find the set of solutions by showing graphically on a Cartesian plane these linear inequalities with one variable.

linear inequalities with one variable on a Cartesian plane Main 2: linear inequalities with one variable on a Cartesian plane What are these graphs displaying? Ext. Write a question with the graph as the solution for each of the graphs

Graphing Inequalities L.O. All pupils can manipulate inequalities to show their values on a number line All pupils can represent linear inequalities with one variable on a Cartesian plane Most pupils can represent linear inequalities with two variables on a Cartesian plane Key Words

linear inequalities with two variables on a Cartesian plane Main 3: linear inequalities with two variables on a Cartesian plane What are the two variables usually associated with the Cartesian plane? What is the usual general form of an equation of a line with two variables?

linear inequalities with two variables on a Cartesian plane Main 3: linear inequalities with two variables on a Cartesian plane Write this inequality so it looks like the general form of a linear equation. 3x – y > 12

linear inequalities with two variables on a Cartesian plane Main 3: linear inequalities with two variables on a Cartesian plane How could you plot it? 3x – 12 > y OR y < 3x - 12

linear inequalities with two variables on a Cartesian plane Main 3: linear inequalities with two variables on a Cartesian plane y < 3x - 12 x -2 2 4 y -18 -12 -6

linear inequalities with two variables on a Cartesian plane Main 3: linear inequalities with two variables on a Cartesian plane y < 3x - 12 x -2 2 4 y -18 -12 -6

linear inequalities with two variables on a Cartesian plane Main 3: linear inequalities with two variables on a Cartesian plane y < 3x - 12 x -2 2 4 y -18 -12 -6

Shade each of the described regions on the board Main 3: linear inequalities with two variables on a Cartesian plane Shade each of the described regions on the board

Graphing Inequalities L.O. All pupils can manipulate inequalities to show their values on a number line All pupils can represent linear inequalities with one variable on a Cartesian plane Most pupils can represent linear inequalities with two variables on a Cartesian plane WWW? EBI?