Download Unit plan - Chengage

Curriculum Map for:
Time
Frame /
Content
Geometry 21/22
Essential
Question(s)
How do you prove
that two lines are
parallel or
perpendicular?
What is the sum of
the measures of
the angles of
triangle?
2/3 weeks
How do you write
an equation of a
line in the
coordinate plane?
Skills
Vocabulary Words:
alternate exterior angles
alternate interior angles
corresponding angles
parallel lines
parallel planes plane
same-side interior angles
skew lines
transversal
Prior Knowledge:
Graphing
Basic construction
Equation of a line
Objectives:
Understand parallel, skew lines and parallel planes.
Identify nonintersecting lines and planes
Define, identify and classify angle pairs formed by a transversal.
Prove theorems about parallel lines cut by a transversal.
Use Same side interior angle theorem to find angle measure.
Use Alternate interior and exterior angle Theorems to find angle
measure.
Use Corresponding angle theorem to find angle measure.
Use algebra to solve problems involving the angles formed by 2
parallel lines cut by a transversal.
Use formal logic to rewrite the Postulates and Theorems associated
with parallel lines. (conditional statements )
Common Core
Standards
Projects and Assessments
G.GPE.5
G.CO.9
Test
G.CO.10
G.CO.12
G.MG.3
Differentiation/ Strategies
Think pair share
group activity
Vocabulary support handout
Resources
https://www.pearsonsucc
essnet.com
www.jmap.org
Use angle pairs to prove lines are parallel.
Write formal proofs proving lines are parallel.
Use algebra to help solve problems involving parallel lines.
Use the relationship of two lines to a third line to decide whether the
two lines are parallel or perpendicular to each other.
Relate parallel and perpendicular lines.
Prove and use the Parallel Postulate.
Prove and use the triangle sum Theorem.
Prove and use the triangle exterior angle Theorem.
Use the triangle sum Theorem to find missing angles.
Use the triangle exterior angle Theorem to find missing angles.
Construct parallel lines
Construct an isosceles trapezoid.
Construct a perpendicular line at a given point on a line.
Construct a perpendicular line from a given point not on a line.
Find slopes of lines.
Graph and write linear equations using slope-intercept form.
Graph and write linear equations using point-slope form.
Using two points to write an equation.
Writing equations of Horizontal and Vertical lines.
Prove and determine whether two lines are parallel or perpendicular
by comparing their slopes.
Write equations for lines that are parallel.
Write equations for lines that are perpendicular.