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Geometry 3.6 Lines in a Coordinate Plane Mr. Deyo

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Page 1: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Geometry3.6LinesinaCoordinatePlane

Mr.Deyo

Page 2: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Learning Target

Bytheendoftheperiod,studentswillusethepoint‐slopeformandtheslopeinterceptformtoidentifyparallelandperpendicularlines.

Studentswilldemonstratethisbycompletingagraphicorganizerandbysolvingproblemsinapairactivity.

Page 3: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

HomeWork1‐2‐3:1)StormCheckPastedinNotebook?

2)Section______ 3)Section______RFM/RTProblems_________ NotesCopiedinNotebook?Pasted&SolvedinNotebook?

Page 4: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Questions on which to ponder and answer: 1.  How are the two pictures similar? 2.  How are they different? 3.  How can these two pictures be related to math?

Page 5: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

1) Slope

2) Parallel

3) Perpendicular

4) Slope‐Intercept

Vocabulary

Page 6: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

DAY 3 and/or DAY 4 1. Review the word

♦ Friendly Definition ♦ Physical Representation

2. Show how the word works ♦ Synonyms/antonym ♦ Word Problems ♦ Related words/phrases ♦ Example/non-example

Friendly Definition Sketch

Wordwork Sentence

DAY 2 1. Review word

♦ Friendly Definition ♦ Physical Representation

2. Draw a sketch

DAY 5 1. Review the word

♦ Friendly definition ♦ Physical Representation

3. Write a sentence  at least 2 rich words (1 action)  correct spelling  correct punctuation  correct subject/predicate agreement  clear and clean writing

DAY 1 1.  Use Visuals

2.  Introduce the word ♦ Friendly Definition ♦ Physical Representation

3.  Use Cognates

4.  Write friendly definition

5.  Physical Representation

WordList1.  2.  3.  4. 

Page 7: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Notes:

Page 8: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemAnotes:Determine whether the lines are parallel, intersect, or coincide.

Page 9: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemACheck:

Page 10: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemBSOLVE!!

3x + 5y = 2 3x + 6 = –5y

Determine whether the lines 3x + 5y = 2 and 3x + 6 = -5y are parallel, intersect, or perpendicular.

Page 11: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemBCheck!!

Page 12: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

StormCheck(Think,Write,Discuss,Report)

Howdoyoucompareslopesoftwoequationsinslope‐interceptform?

_______________________________________

Whatdoyouhavetodotoequationstomakethemintotheslope‐interceptform?

_______________________________________

_______________________________________.

Page 13: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Notes:

Page 14: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemAnotes:

Determine whether the lines are parallel, intersect, or perpendicular.

y – 3 = – x y – 5 = 2(x + 3) 1 2

Page 15: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemACheck:

Determine whether the lines are parallel, intersect, or perpendicular.

y – 3 = – x y – 5 = 2(x + 3) 1 2

intersect

Page 16: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemBSOLVE!!

Determine whether the lines are parallel, intersect, or perpendicular.

2y = 4x + 12 4x – 2y = 8

Page 17: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

A‐BProblemBCheck!!

Determine whether the lines are parallel, intersect, or perpendicular.

2y = 4x + 12 4x – 2y = 8

parallel

Page 18: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

StormCheck(Think,Write,Discuss,Report)

Whatisthedifferencebetweenslopesofparallellinesandslopesofperpendicularlines?

Slopesofparallellines_____________________

_______________________________________.

Slopesofperpendicularlines________________

_______________________________________.

Page 19: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Vocabulary Review

1) Slope

2) Parallel

3) Perpendicular

4) Slope‐Intercept

Page 20: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Learning Target

Bytheendoftheperiod,studentswillusethepoint‐slopeformandtheslopeinterceptformtoidentifyparallelandperpendicularlines.

Studentswilldemonstratethisbycompletingagraphicorganizerandbysolvingproblemsinapairactivity.

Page 21: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Ticket OUT.

1. the line through (-1, 3) and (3, -5) in slope-intercept form.

2. the line through (5, –1) with slope in point-slope form.

Write the equation of each line in the given form. Then graph each line.

Page 22: Geometry 3.6 Lines in a Coordinate Plane - Weeblyhelpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · 2018. 10. 13. · Geometry 3.6 Lines in a Coordinate Plane ... will use the

Ticket OUT. Write the equation of each line in the given form. Then graph each line.

1. the line through (-1, 3) and (3, -5) in slope-intercept form.

y = –2x + 1

2 5

y + 1 = (x – 5)

2. the line through (5, –1) with slope in point-slope form.