geometry 3.6 lines in a coordinate plane -...

Geometry3.6LinesinaCoordinatePlane

Mr.Deyo

Learning Target

Bytheendoftheperiod,studentswillusethepoint‐slopeformandtheslopeinterceptformtoidentifyparallelandperpendicularlines.

Studentswilldemonstratethisbycompletingagraphicorganizerandbysolvingproblemsinapairactivity.

HomeWork1‐2‐3:1)StormCheckPastedinNotebook?

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

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?

1) Slope

2) Parallel

3) Perpendicular

4) Slope‐Intercept

Vocabulary

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. 

Notes:

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

A‐BProblemACheck:

A‐BProblemBSOLVE!!

3x + 5y = 2 3x + 6 = –5y

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

A‐BProblemBCheck!!

StormCheck(Think,Write,Discuss,Report)

Howdoyoucompareslopesoftwoequationsinslope‐interceptform?

_______________________________________

Whatdoyouhavetodotoequationstomakethemintotheslope‐interceptform?

_______________________________________

_______________________________________.

Notes:

A‐BProblemAnotes:

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

y – 3 = – x y – 5 = 2(x + 3) 1 2

A‐BProblemACheck:

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

y – 3 = – x y – 5 = 2(x + 3) 1 2

intersect

A‐BProblemBSOLVE!!

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

2y = 4x + 12 4x – 2y = 8

A‐BProblemBCheck!!

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

2y = 4x + 12 4x – 2y = 8

parallel

StormCheck(Think,Write,Discuss,Report)

Whatisthedifferencebetweenslopesofparallellinesandslopesofperpendicularlines?

Slopesofparallellines_____________________

_______________________________________.

Slopesofperpendicularlines________________

_______________________________________.

Vocabulary Review

1) Slope

2) Parallel

3) Perpendicular

4) Slope‐Intercept

Learning Target

Bytheendoftheperiod,studentswillusethepoint‐slopeformandtheslopeinterceptformtoidentifyparallelandperpendicularlines.

Studentswilldemonstratethisbycompletingagraphicorganizerandbysolvingproblemsinapairactivity.

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.

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.