Recognizing Linear Functions
Common Core State Standards
Math 
Math 
8 
Grade 8 
EE 
Expressions & Equations 
C 
Analyze and solve linear equations and pairs of simultaneous linear equations 
8 
Analyze and solve pairs of simultaneous linear equations. a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. c. Solve realworld and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. 
Download Common Core State Standards (PDF 1.2 MB) 

COMMON CORE CHALLENGEMeeting Our Monsters: A Lesson in Text SynthesisGrades 1112 / ELAELA.RI.1112.7 / ELA.W.1112.2f / ELA.SL.1112.1a
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COMMON CORE CHALLENGEDebrief: Meeting Our Monsters: A Lesson in Text SynthesisGrades 1112 / ELAELA.RL.1112.10 / ELA.RI.1112.7 / ELA.RI.1112.10
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COMMON CORE CHALLENGEHow are Mitochondria Connected to the Aging Process?Grades 1112 / Science / LiteracyELA.RST.1112.1 / ELA.RST.1112.2 / ELA.RST.1112.10
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COMMON CORE CHALLENGEDebrief: How are Mitochondria Connected to the Aging Process?Grades 1112 / Science / LiteracyELA.RST.1112.1 / ELA.RST.1112.2 / ELA.RST.1112.9
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COMMON CORE CHALLENGEThe Significance of the Frontier in American HistoryGrade 10 / History / LiteracyELA.RH.910.1 / ELA.RH.910.2 / ELA.RH.910.10
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COMMON CORE CHALLENGEDebrief: The Significance of the Frontier in American HistoryGrade 10 / History / LiteracyELA.RH.910.1 / ELA.RH.910.2 / ELA.RH.910.4

COMMON CORE CHALLENGEDebrief: Recognizing Linear FunctionsGrade 8 / Math / Common CoreMath.8.EE.C.8

COMMON CORE CHALLENGEFerris Wheel: Trigonometric FunctionsGrades 912 / Math / FunctionsMath.HSFBFA.1b / Math.HSFBF.B.3 / Math.HSFTF.A.1
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COMMON CORE CHALLENGEDebrief: Ferris Wheel: Trigonometric FunctionsGrades 912 / Math / Functions

COMMON CORE CHALLENGEProportional RelationshipsGrade 7 / Math / ProportionsMath.7.RP.A.2
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COMMON CORE CHALLENGEDebrief: Proportional RelationshipsGrade 7 / Math / ProportionsMath.7.RP.A.2

COMMON CORE CHALLENGEWhen Charlie McButton Lost Power: A ReadAloud LessonGrade 2 / ELA / LiteracyELA.RL.2.3 / ELA.RL.2.4 / ELA.SL.2.2
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COMMON CORE CHALLENGEDebrief: When Charlie McButton Lost Power: A ReadAloud LessonGrade 2 / ELA / LiteracyELA.RL.2.1 / ELA.RL.2.3 / ELA.RL.2.4
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COMMON CORE CHALLENGEUnderstanding, Modeling and Creating Equivalent FractionsGrade 4 / Math / FractionsMath.4.NF.A.1
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COMMON CORE CHALLENGEDebrief: Understanding, Modeling and Creating Equivalent FractionsGrade 4 / Math / FractionsMath.4.NF.A.1
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COMMON CORE CHALLENGEThe Omnivore's Dilemma: Close Reading of a NonFiction TextGrade 5 / ELA / LiteracyELA.RI.5.1 / ELA.RI.5.8 / ELA.W.5.3a
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COMMON CORE CHALLENGEDebrief: The Omnivore's Dilemma: Close Reading of a NonFiction TextGrade 5 / ELA / LiteracyELA.RI.5.1 / ELA.RI.5.4 / ELA.RI.5.8
Objective
Understand that the point of intersection of two linear equations is a solution that satisfies both equations in the system and that equations that yield parallel lines have no solution
Length
17 min
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Teacher & School Info

William McKinney
 School Details
 Wilbur Cross High School New Haven, CT
 Population
 1,238 students
 District Spending
 $15,978
Supporting Materials

Workbook for Recognizing Linear Functions

Debrief Video: Recognizing Linear Functions

SAP Instructional Practice Guide for Math, High School