Livingston County Schools
Unit #3
Math Course: ______Geometry_____________________
Unit Overview
Students are introduced to the Pythagorean Theorem as a tool for finding the length of the hypotenuse of a right triangle. Translating the
theorem to the standard (x,y) coordinate plane, students establish the distance formula and use it to determine the length of segments and the
coordinates of the midpoints of segments. Students will also identify and write equations for parallel and perpendicular lines using coordinate
geometry.
Disciplinary Core Idea- Coordinate Geometry
Length of unit: ___3 weeks_______
Performance Expectations
C.1.d; G.1.a,b,c
Learning Target
Critical Vocabulary
3.1 I can use coordinate geometry to Coordinate geometry, midpoint
find missing points and discover the
formula, endpoint, slope, parallel,
midpoint conjecture.
perpendicular, Pythagorean theorem,
Distance formula
3.2 I can find the midpoint given
endpoints and find the missing
endpoint given the midpoint and the
other endpoint.
3.3 I can find the slope of a line.
3.4 I can find the slope of parallel
and perpendicular lines.
3.5 I can determine if two lines are
parallel, perpendicular, or neither.
Texts/Resources/Activities
Discovering Geometry
Geometry Textbook
Quality Core materials
3.6 I can write linear equations from
given information.
3.7 I can write an equation of a line
that is parallel or perpendicular to a
given line.
3.8 I can discover the distance
between two points using the
Pythagorean theorem.
3.9 I can find the distance between
two points using the distance
formula.
3.10 I can use the distance and
midpoint formulas to find missing
information.
HOT Questions:
a. Quadrilateral EFGH as vertices E(0,0); F(13,0);G(18,12); and
H(5,12). Find the slopes of the two diagonals.
b. Given various quadrilaterals plotted on a coordinate plane students
will determine (using various methods) what type of quadrilateral is
given.