Westside High School Backwards-Design Lesson Plan Template
2014-2015
Geometry Prep Unit 3
Writing Equations of Lines Unit
9/29 – 10/3
Stage 1 – Desired Results
Student Outcomes (objectives):
Understanding
(s)/goals:
Essential
Question(s):
EU1:
Apply slopes and
equations of lines
to investigate
geometric
relationships,
including parallel
lines,
perpendicular
lines, and special
segments of
triangles and
other polygons.
EQ1:
Equations of lines
pervade
mathematics
studies and their
applications to the
real world.
1. What effects do
the
characteristics of
lines have on
their equations?
2. Given a point and
a line, what
variety of lines
can be
written/created?
EQ2:
1. What are the
benefits of
point-slope
form?
EU2:
Students work with
point-slope form to
write equations of
lines where slopeintercept is not as
adaptable.
GEOM.7A Use one- and two-dimensional coordinate systems
to represent points, lines, rays, line segments, and figures.
GEOM.7B Apply slopes and equations of lines to
investigate geometric relationships, including parallel lines,
perpendicular lines, and special segments of triangles and
other polygons.
GEOM.2B Derive and use the distance, slope, and midpoint
formulas to verify geometric relationships, including
congruence of segments and parallelism or perpendicularity
of pairs of lines.
GEOM.2C Determine an equation of a line parallel or
perpendicular to a given line that passes through a given
point.
SO1.1: SWBAT apply prior knowledge of coordinate systems to place
geometric figures on a coordinate plane for analysis. (GEOM.7A)
SO1.2: SWBAT determine the relationships between pairs of lines and
figures using slopes and their equations of lines. (GEOM.7B)
SO1.3: SWBAT find characteristics of segments that determine the
relationships between segments. (GEOM.2B)
SO1.4: SWBAT write the equation of parallel and/or perpendicular lines
given a line and a point. (GEOM.2C)
SO1.5: SWBAT adapt equations of lines writing when necessary to use
point-slope form.
Stage 2 – Assessment Evidence
Performance Task(s) and Other Evidence: (Assessment evidence should be collected for each Student Outcome (SO)
listed above.)
Formative
Summative (Attach copy)
SO1.1
Day 3 / 4: Homework
Test 3
SO1.2
Day 3 / 4: Homework
Test 3
SO1.3
Day 5: Polygon investigation
Test 3 / Warm-up quiz
SO1.4
Day 6: Perpendicular Lines
Test 3
SO1.5
Day 7 - 9: Point-slope form battleship
Test 3 / Battleship quiz
Geometry Prep
Equations of Lines Unit
9/29 - 10/3
Student Outcomes (Objectives)
Day 1: Monday 9/29
TEST REVIEW
Day 2: Tuesday 9/30
TEST
Day 3 / 4: Wed-Thurs 10/1 – 2
SO1.1: SWBAT apply prior knowledge of
coordinate systems to place geometric
figures on a coordinate plane for analysis.
(GEOM.7A)
SO1.2: SWBAT determine the relationships
between pairs of lines and figures using
slopes and their equations of lines.
(GEOM.7B)
Day 4: Friday 10/3
Fall Holiday
Learning Activities:
Daily Activities
Test Review
Student-guided review
Teacher clarification
HW: Study for exam
TEST
Review slope-intercept form and writing equations of lines
Students complete selected problems
HW: Students begin writing equations of lines using parallelograms,
including squares, rectangles and rhombi
Fall Holiday