geometry 3.6 lines in a coordinate plane -...
TRANSCRIPT
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.