Accelerated Geometry Course Guide Unit and Power Standard

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Accelerated Geometry Course Guide
Unit and
Power
Standard
Angles
9.3.3.2
Section and Learning Target
Book Examples
Assignment
1-1 Understand the roles of undefined terms,
defined terms and postulates in geometry.
pp. 6-8
Class work only.
Angles
9.3.3.2
1-2 and 1-3 Apply the segment addition
postulate and angle addition postulate to solve
problems.
p.14 -15.
Examples 3,4 &5
p. 20-23
Examples 1, 3 & 4.
pp. 28-30
p.17#14-18, 20-23
Angles
9.3.3.2
1-4 Know and apply the properties of vertical,
complementary, supplementary and linear
pairs of angles to solve problems and justify
results.
MYP/Crit B
Line Segment Problem Solving Formative –
not graded.
3-1 Identify parallel, perpendicular, and skew
lines. Identify angles formed by two parallel
lines and a transversal.
Angles
9.3.3.1#
pp. 146-147
p.24#15-18, 27, 30
p. 32#14-30 evens
Class work only
Poster problem
Class work only
Angles
9.3.3.1
3-2 Know and apply the properties of angles
formed by 2 parallel lines cut by a transversal
to solve problems.
pp. 158-160
p. 158
#6-12even, 13-19, 39
Angles
9.3.3.1
3-3 Know and apply the properties of angles
formed by 2 parallel lines cut by a transversal
to justify results.
pp. 162-164
examples 1&2
pp. 162-164
Angles
completed
9/29
Review: I can create a concept map using
relationships between geometric figures in this
unit.
Mixed Practice
MYP/Crit B
Vertical Angles Problem Solving Summative
Unit and
Power
Standard
Proof
9.3.2.4
Proof
9.3.2.4
MYP/CritC
9.3.2.4
Proof
9.3.2.4
Proof
9.3.2.4
Proof
9.3.2.4
Proof
Completed
10/27
MYP/CritC
9.3.2.4
Section and Learning Target
Book Examples
group work in class
individual write up in class.
Assignment
2-3 Use the Law of Syllogism and the Law of
Detachment to write a conclusion
2-5 Write a 2 column algebraic proof.
p. 90 example 4
Worksheet
p.104 examples 1,
3 &4
Definition p. 28
Four problems from notes
Problem Solving 2 column geometric proof
Formative – not graded
2-6 Write a 2-column geometric proof
Write a 2- column geometric proof using a plan
2-7 Write flow chart and paragraph proofs.
p.110 examples
1,2, & 3
See p.159#25-26
p.118 examples 1,
2, 3 and 4.
Linear Pair Theorem
Poster Problem
p.114#3, 4, 6, 7, and 8 only
copy and complete
Worksheet.
p.123#7, 8, 9, and 10.
Practice problems/test review
Worksheet
Problem Solving with individual write up
summative assessment. Open notes
group work in class
individual write up in class.
Accelerated Geometry Course Guide
Unit and Power
Standard
Congruent
Triangles (CT)
9.3.3.6
Section and Learning Target
Book
Examples
Assignment
• I can use triangle classification to fine
angle measures and side lengths. (4.1)
4.1 Practice A and B
MYP/CritC
9.3.3.6
Group Problem Solving Linear Pair
Theorem
Class work only
Poster problem
9.3.3.6
• I can use triangle sum theorems and their
corollaries to find the interior and exterior
angles of a triangle. (4.2)
p.228-229#16-23, 2932
9.3.3.6
• I can recognize congruent triangles and
use corresponding parts to write
congruence statements. (4.3).
p.235-236#17-18, 2325, and 31-35
9.3.3.6
Review Worksheet/Study Guide
Summative Exam 1
9.3.3.6
• I can calculate measures in congruent
figures using triangle congruence theorems
and algebra. (4.4)
4-4 practice B
9.3.3.6
• I can logically justify the congruency of two
triangles using flow proof. (4.4, 4.5)
Worksheet
9.3.3.6
• I can logically justify the congruency of
parts of triangles using flow proof. (4.6)
p.236#8-11
Worksheet
MYP/CritC
Review Worksheet/Study Guide
Summative Exam 2
Group Problem Solving with individual writeup. Triangle Congruence Theorem
Summative.
group work in class
individual write up in
class.
Unit and Power
Standard
Coordinate
Proof and Quad.
9.3.3.7#
Coordinate
Proof and Quad.
9.3.3.7#
Coordinate
Proof and Quad.
9.3.4.4
Coordinate
Proof and Quad.
9.3.4.4
Section and Learning Target
Book
Examples
Assignment
I can use slopes, midpoints, and lengths to
analyze and classify parallelograms. (6.3
and 6.5)
Worksheet
Coordinate
Proof and Quad.
9.3.4.4
Coordinate
Proof and Quad.
9.3.4.4
Unit and Power
Standard
Similarity
I can use slopes, midpoints, and lengths to
analyze and classify quadrilaterals. (6.6)
Worksheet
6.1 I can solve problems using the polygon
angle sum theorems
p.386#16-26 all, 30, 33,
36, and 39.
I can solve problems using the properties of
parallelograms (6.2 and 6.4)
Page 412 # 10-15 all,
18-30 even Page 395 #
15-24 all, 41-43 all
Problem Solving - Formative
Practice Exam
Section and Learning Target
I can Identify similar triangles 7-2
Book
Examples
P462-463
Assignment
p.465#7-10, 20, 22,
Accelerated Geometry Course Guide
9.3.3.6
Similarity
9.3.3.6
Similarity
9.3.3.6
Similarity
9.3.3.6
Similarity
9.3.3.6
Similarity
9.3.3.6
Similarity
9.3.3.6
Similarity
9.3.3.6
Unit and Power
Standard
Special Triangles
9.3.3.5#
Special Triangles
9.3.3.5#
Special Triangles
9.3.3.5#
Special Triangles
9.3.3.5#
Trig A
9.2.4.1
Trig A 9.3.4.2
Trig A 9.3.4.2
Trig B
9.3.4.1, 2, 3
24,30
p.470-473
examples 1,
2 and 3
p.470-473
examples 4
p.488-490
examples 1,
2, 3, and 4.
p.504
p.475 11-16, 20, 22,
24, 32, 40
Problem Solving - Formative
I can logically justify the similarity of two
figures. 7-3
Paragraph proofs, hand out.
Similarity
9.3.3.6
examples 1
and 2
I can calculate lengths in similar figures
using proportional reasoning including realworld applications 7-4 and 7-5
Review of 3 learning targets
p.491 #12,14,16,18,19,
24, 25, 26, 28, 36
10-20 and 28-29
Mixed practice/study
guide
Problem Solving - Formative Review
Similarity
Similarity unit test, three learning targets.
I can Identify similar triangles 7-2
Problem Solving - Summative
Section and Learning Target
Quarter 3
5.5 and 5.7 I can apply inequalities in one
triangle, including the Pythagorean
inequality, to solve problems and classify
triangles.
5.7 I can apply inequalities in one triangle,
including the Pythagorean inequality, to
solve problems and classify triangles
5.8 Justify and apply properties of 45°- 45°90° and 30°- 60°- 90° triangles
Summative 5-5/5-7, 5-8
Book
Examples
8-2 I can use trig ratios to find side lengths
in right ∆
8-3 I can use trig ratios to find side lengths
and angle measures in right ∆
8-4 I can apply trig to real world problems
such as finding the angle of elevation and
angle of depression
Real World Problem Solving Rubric D
Space Shuttle Problem
Summative 8A Rubric A
Investigation the Law of Sines
Rubric B
8-5 I can use the law of sines to find angle
measures and side lengths of triangles
8-5 I can use the law of cosines to find
angle measures and side lengths of
triangles
8-5 I know when to use the law of cosines
vs. the law of sines to solve problems that
can be modeled as triangles.
Extension Chapter 8 I can use the unit
circle to find sine and cosine of angles.
p.526-528
#1-4
p.534-536
#1-4
p.544-546
#1-4
Summative 8B Rubric A
Assignment
p.336#20-32
p.353#15-42 multiples
of 3
Worksheet
Page 360#9-16,18,
p.529#22-43
p.538#21-44
p.547#10-15, 22, 24
Problem Solving with
Write-Up.
Problem Solving
Worksheet
Worksheet
Worksheet
p.551-554
p. 555#17-38,
Fill in the blank unit
circle and
p.571#1-14
Accelerated Geometry Course Guide
Unit and Power
Standard
Circles
9.3.3.8
Circles
9.3.3.8
Circles
9.3.3.8
Circles
9.3.3.8
Circles
9.3.3.8
Section and Learning Target
Book
Examples
I can apply the properties of tangents, arcs
and chords to solve problems.
Section 11-1 and 11-2
I can use the properties of circles to find
angle and arc measures
Section 11-4
I can use the properties of circles to find
angle and arc measures
Section 11-5
I can determine which circle theorem to
apply when solving problems.
Mixed sections chapter 11.
Summative 11A
Assignment
Page 751#15-17
Page 761#25-32
Page 776#12-22, 27,
33
Page 787#16-28
Work Sheet. 12
problems.
Problem Solving
Formative
Circles
9.3.3.8
9.3.4.5#
I can calculate sector area and arc length.
Section 11-3
I can write the equation of a circle
and graph a circle. 11-7
Review
Page 767#12-20even,
and 26-27
Page 802#10-21
Mixed Practice/
Study Guide
Summative 11B
Problem Solving Summative
Unit and Power
Standard
Area
9.3.1.2
Area
9.3.1.2
Area
9.3.1.2
Area
9.3.1.2
Area
9.3.1.2
Area
9.3.1.2
Section and Learning Target
9-3 I can calculate the area of composite
figures.
9-2 I can calculate the area of regular
polygons
9-6 I can solve geometric probability
problems
Worksheet – mixed practice 9-3, 9-2, and 96
Summative test 9-3, 9-5 and 9-6.
Book
Examples
606-608
Assignment
#3 p.602
Worksheet
630-633
p.#16-26
Worksheet
Worksheet
2 points formative
Summative problem solving chapter 9
Group work
Summative formal write
up. Investigation 8
points
10-1
I can identify 3 dimensional figures and
draw their nets.
10-4 I can calculate the surface area of
Cylinders and prisms.
10-5 I can calculate the surface area of
pyramids and cones
Worksheet – extra practice on composite
surface area
Summative 10-1, 10-4 and 10-5
654-656
Worksheet done in
class 2 points formative
680-683
685#13-20 and 34
689-692
694#13-18all,
21-22all, 29-35odds
Worksheet
2 points formative
10-6 I can calculate the volume of prisms
and cylinders, and 10-7 I can calculate the
697-700
705-708
Worksheet due the next
day 4 points formative.
Area
9.3.1.2
Completed 4/30
Polyhedrons
9.3.1.1
Polyhedrons
9.3.1.1
Polyhedrons
9.3.1.1
Polyhedrons
9.3.1.1
Polyhedrons
9.3.1.2
Polyhedrons
9.3.1.2
Accelerated Geometry Course Guide
Polyhedrons
9.3.1.2
Polyhedrons
9.3.1.2
Polyhedrons
9.3.1.2
Polyhedrons
9.3.1.2
Polyhedrons
9.3.1.2
Transformations
9.3.4.6#
volume of pyramid and cones
Cube investigation
10-8 I can calculate the volume and
surface area of a sphere
Mixed Practice: I can decompose
polyhedrons in order to calculate Volume of
3D figures.
Summative 10-6, 10-7, 10-8
Cube investigation 2
Intro
Translations
Reflections
Rotations
Dialatons
Summative
Poster problem
714-717
719#13-15,17-19, 22
and 23
Worksheet
Group work
Poster problem 2 pts
Formative
With write up.
Accelerated Geometry Course Guide
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