Concept Development - Mr. Rogove's Site...

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Name: ___________________________________ Math 7.2, Period _____________ Mr. Rogove Date: _______________ Lesson 90: Linear Inequalities in Two Variables 1 Learning Objective: We will solve linear inequalities in two variables. (Lesson 90) Concept Development: Recall a linear equation is an equation in two variables. The solution is a typically a straight line on a coordinate plane. Examples: ! = 2! − 1 3! − 4! = −12 Linear Inequalities result when you replace the equal sign an inequality symbol. The solution is a region on a coordinate plane that is determined by the boundary line. Example: 2! − 3! ≥ 6

Transcript of Concept Development - Mr. Rogove's Site...

Page 1: Concept Development - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Lesson&90:LinearInequalitiesinTwoVariables

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&90:&Linear&Inequalities&in&Two&Variables&1&

Learning Objective:&We&will&solve&linear&inequalities&in&two&variables.&(Lesson&90)&&&Concept Development: &Recall&a&linear'equation&is&an&equation&in&two&variables.&&The&solution&is&a&typically&a&straight&line&on&a&coordinate&plane.&&Examples:&&! = 2! − 1&&3! − 4! = −12&&&&&&&'''''''

'Linear'Inequalities&result&when&

you&replace&the&equal&sign&an&inequality&symbol.&The&solution&is&

a&region&on&a&coordinate&plane&that&is&determined&by&the&

boundary&line.&Example:&

2! − 3! ≥ 6&&&&&&

Page 2: Concept Development - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Lesson&90:LinearInequalitiesinTwoVariables

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&90:&Linear&Inequalities&in&Two&Variables&2&

Guided Practice: Steps'for'Graphing'Inequalities'in'Two'Variables'1.&Change&the&inequality&(as&needed)&so&that&the&inequality&resembles&slopeMintercept&form.&2.Temporarily&replace&the&inequality&sign&with&an&equal&sign.&&3.&Graph&the&linear&equation.&4.&Reinsert&the&inequality&sign.&&5.&If&the&line&is&a&PART&of&the&solution&(≤ !" ≥),&the&graph&is&a&solid&line.&&If&the&line&is&NOT&a&part&of&the&solution&(< !" >),&the&graph&is&a&dashed&line.&&6.&If&the&inequality&is&greater&than&(> !" ≥)&shade&the&area&ABOVE&the&line.&If&the&inequality&is&less&than& < !" ≤ ,&shade&the&area&BELOW&the&line.&&&&Graph&4! − ! ≤ 10&&&&&&&&&&&

&&&&&

Graph&4! − ! > 10&&&&

Page 3: Concept Development - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Lesson&90:LinearInequalitiesinTwoVariables

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&90:&Linear&Inequalities&in&Two&Variables&3&

Graph&3! + 2! > 10&&&&&&&&&&

&&&&&&&&&&&&&&&&&&&&

Graph&! − ! > 6&&&

Page 4: Concept Development - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Lesson&90:LinearInequalitiesinTwoVariables

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&90:&Linear&Inequalities&in&Two&Variables&4&

Graph&! > 1&&&&&&

&&

Graph&! ≤ −3&&&

Graph&! > !&&&&&

&&

Graph&! < !&&&&

Page 5: Concept Development - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Lesson&90:LinearInequalitiesinTwoVariables

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&90:&Linear&Inequalities&in&Two&Variables&5&

&&Independent Practice: Two&Khan&Exercises:&&Graphs&of&Inequalities&in&Two&Variables&Graphing&Linear&Inequalities&in&Two&Variables.&&&&Activating Prior Knowledge: &&Closure: &&Notes: Maps&to&lesson&7M4&of&Algebra&1&(GO&MATH)&and&Lesson&21&of&ENY&Alg&1.&&HW&Khan:&Graphing&and&Solving&Linear&Inequalities&&&&


Activating Prior Knowledge - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m7l5...Activating Prior Knowledge: We can solve linear equations (solve for x)

Activating Prior Knowledge - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m7l5...Activating Prior Knowledge: We can solve linear equations (solve for x)

Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1l7-_solving... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 3& Alg1M1L7:&Solving&Inequalities&in&One&Variable&

Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1l7-_solving... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 3& Alg1M1L7:&Solving&Inequalities&in&One&Variable&

0& 1&mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period&_____& Mr.Rogove& & Date:_____& 1& Lesson&96:&DefiningandEvaluatingFunctions& Learning Objective:&Wewilluseequationstodefineandevaluate

0& 1&mrrogove.weebly.com/uploads/4/3/0/0/43009773/... · Name:&_____& & Math7.2,Period&_____& Mr.Rogove& & Date:_____& 1& Lesson&96:&DefiningandEvaluatingFunctions& Learning Objective:&Wewilluseequationstodefineandevaluate

Learning Objective: Concept Developmentmrrogove2016.weebly.com/uploads/4/3/0/0/43009773/g7m4l7... · 2018-09-11 · NAME:_____’ ’ Math7.1,Periods1and2 ’ Mr.Rogove’ ’ Date:_____’

Learning Objective: Concept Developmentmrrogove2016.weebly.com/uploads/4/3/0/0/43009773/g7m4l7... · 2018-09-11 · NAME:_____’ ’ Math7.1,Periods1and2 ’ Mr.Rogove’ ’ Date:_____’

Polynomials - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1_sg... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 2&

Polynomials - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1_sg... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 2&

Study Guide: Solving Linear Equations - Mr. Rogove's Site ...mrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m4... · Example: Your family is taking a road trip to Chicago. They drive

Study Guide: Solving Linear Equations - Mr. Rogove's Site ...mrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m4... · Example: Your family is taking a road trip to Chicago. They drive

Study Guide: Exponents and Scientific Notationmrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m1_study...NAME:_____’ ’ Date:_____’ Mr.Rogove’ ’ Math_____’,Period_____’

Study Guide: Exponents and Scientific Notationmrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m1_study...NAME:_____’ ’ Date:_____’ Mr.Rogove’ ’ Math_____’,Period_____’

Learning Objective: Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1l1... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Alg1M1L1:&Simplifying&Expressions&

Learning Objective: Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1l1... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 4& Alg1M1L1:&Simplifying&Expressions&

Learning Objective: Activating Prior Knowledge: …mrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1… ·  · 2017-05-01Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____&

Learning Objective: Activating Prior Knowledge: …mrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1… ·  · 2017-05-01Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____&

Learning Objective: Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/... · NAME:_____’ ’ Math7.1,Period’1and2’ Mr.Rogove’ ’ Date:_____’ 1’ Lesson’59:Raisingabase’to’the’zeroth’power’

Learning Objective: Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/... · NAME:_____’ ’ Math7.1,Period’1and2’ Mr.Rogove’ ’ Date:_____’ 1’ Lesson’59:Raisingabase’to’the’zeroth’power’

Learning Objective: We&will&add&and&subtract ...mrrogove2016.weebly.com/uploads/4/3/0/0/43009773/alg1m1l...Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1& Alg1M1L3:&Adding&and&Subtracting&Polynomials&

Learning Objective: We&will&add&and&subtract ...mrrogove2016.weebly.com/uploads/4/3/0/0/43009773/alg1m1l...Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1& Alg1M1L3:&Adding&and&Subtracting&Polynomials&

Irrational Numbers Study Guide - Mr. Rogove's 2016-17 Math ...mrrogove2016.weebly.com/uploads/4/3/0/0/...key_irrational_numbers… · NAME:_____’ ’ Math7.2,Period_____’ Mr.Rogove’

Irrational Numbers Study Guide - Mr. Rogove's 2016-17 Math ...mrrogove2016.weebly.com/uploads/4/3/0/0/...key_irrational_numbers… · NAME:_____’ ’ Math7.2,Period_____’ Mr.Rogove’

Learning Objective: …mrrogove.weebly.com/uploads/4/3/0/0/43009773/lesson_97... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1& Lesson&97:&TheGraphof&aFunction&

Learning Objective: …mrrogove.weebly.com/uploads/4/3/0/0/43009773/lesson_97... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1& Lesson&97:&TheGraphof&aFunction&

Learning Objective: Concept Developmentmrrogove2016.weebly.com/uploads/4/3/0/0/43009773/g... · NAME:_____’ ’ Math7.1’ Mr.Rogove’ ’ Date:_____’ 1’ G7M1L3:Identifying’Proportional’Relationships’by’Graphing’

Learning Objective: Concept Developmentmrrogove2016.weebly.com/uploads/4/3/0/0/43009773/g... · NAME:_____’ ’ Math7.1’ Mr.Rogove’ ’ Date:_____’ 1’ G7M1L3:Identifying’Proportional’Relationships’by’Graphing’

Study Guide Polynomials and Polynomial Opsmrrogove.weebly.com/.../43009773/study_guide...ops.pdf · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 3& StudyGuide:&Polynomials&andPolynomial&Operations&

Study Guide Polynomials and Polynomial Opsmrrogove.weebly.com/.../43009773/study_guide...ops.pdf · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 3& StudyGuide:&Polynomials&andPolynomial&Operations&

Concept Development - Mr. Rogove's 2016-17 Math Site

Concept Development - Mr. Rogove's 2016-17 Math Site

Activating Prior Knowledge - Mr. Rogove's Site 2015 …mrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m4l16...intercept form of a line and transform the standard form of linear equations

Activating Prior Knowledge - Mr. Rogove's Site 2015 …mrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m4l16...intercept form of a line and transform the standard form of linear equations

Learning Objective: Concept Development: The$Distributive ...mrrogove2016.weebly.com/.../0/0/43009773/g7m3l4-_distributive_pro… · NAME:_____’ ’ Math7.1’ Mr.Rogove’ ’

Learning Objective: Concept Development: The$Distributive ...mrrogove2016.weebly.com/.../0/0/43009773/g7m3l4-_distributive_pro… · NAME:_____’ ’ Math7.1’ Mr.Rogove’ ’

Study Guide KEY Exponential and Linear Functionsmrrogove.weebly.com/uploads/4/3/0/0/43009773/study_guide_key... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1&

Study Guide KEY Exponential and Linear Functionsmrrogove.weebly.com/uploads/4/3/0/0/43009773/study_guide_key... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1&

Learning Objective: Activating Prior Knowledgemrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m1l11...NAME:_____’ ’ Math_____’,Period_____’ Mr.Rogove’ ’ Date:_____’ 3’

Learning Objective: Activating Prior Knowledgemrrogove.weebly.com/uploads/4/3/0/0/43009773/g8m1l11...NAME:_____’ ’ Math_____’,Period_____’ Mr.Rogove’ ’ Date:_____’ 3’