Course Description
Open to: Grades 10, 11, 12 One Year Course
Prerequisite: C or better in Algebra 1, or pass Intermediate Algebra 1, Instructor/Counselor
approval
Content: Students will use an integrated approach to concepts of algebra, geometry,
logic and probability with emphasis on geometry.
Adopted Materials
Title: Geometry
Edition: 2004
Publisher Glencoe
ISBN: 0-07-829637-4
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope
| Unit 1 |
Points, Lines, Planes & Angles |
2 Weeks |
| Unit 2 |
Reasoning & Proof |
2½ Weeks |
| Unit 3 |
Parallel & Perpendicular Lines |
3 Weeks |
| Unit 4 |
Congruent Triangles |
3½ Weeks |
| Unit 5 |
Relationships in Triangles |
2 Weeks |
| Unit 6 |
Proportions & Similarity |
2 Weeks |
| Unit 7 |
Right Triangles & Trig |
4½ Weeks |
| Unit 8 |
Quadrilaterals |
2-3 Weeks |
| Unit 9 |
Transformations |
2 Weeks |
| Unit 10 |
Circles |
3 Weeks |
| Unit 11 |
Areas of Polygons & Circles |
2 Weeks |
| Unit 12 |
Surface Area |
2 Weeks |
| Unit 13 |
Volume |
2 Weeks |
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Points, Lines, Planes & Angles |
2 weeks |
|
Instructional Objective
0821.01 Use calculation and measurement with
relationship to points, lines, and shapes within
a plane. |
Standard Reference
G.4.1.1a,b,f, G.4.4.1a, G.4.2.1a,b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Describe the relationships between points, lines
and planes. |
p. 8, 22 |
TMA |
|
02 |
Classify angles according to their degree measure. |
p. 30 |
TMA, EOC |
|
03 |
Find numerical unknowns related to the coordinate
plane (e.g., distance, midpoint). |
pp. 21, 22 |
TMA, EOC |
|
04 |
Measure segments and angles with precision |
p. 13, 29 |
TO, TMA |
|
05 |
Construct, using a straightedge and compass,
a two-dimensional figure from a set of instructions. |
p. 15, 31, 33 |
TO, TMA, EOC |
|
06 |
Identify special angle relationships (linear
pair, vertical, complementary, supplementary). |
p. 37, 39 |
TMA, EOC |
|
Instructional Objective
0821.02 Understand and use a variety of reasoning
and problem solving skills. |
Standard Reference
G.4.1.3a,b,c, G.2.2.2a,b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply deductive reasoning. |
p. 62, 82 |
EOC, TMA |
|
02 |
Define and apply terms associated with mathematical
logic and reasoning (e.g. hypotheses, conclusion,
conditional, counterexample). |
p. 62, 67,68, 75, 81, 83, 89. |
EOC, TMA |
|
03 |
Use properties from algebra and geometry to
begin developing formal proofs. |
p. 94 |
TO, TMA |
|
Back to Top |
|
Unit
3 |
Parallel & Perpendicular
Lines |
3 weeks |
|
Instructional Objective
0821.03 Understand and apply the relationships
between parallel and perpendicular lines. |
Standard Reference
G.3.1.1a,b, G.3.2.1a, G.4.1.1d, G.4.1.3a,
G.2.2.2c, G.4.1.2a,b,c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Compare the slopes of parallel and perpendicular
lines. |
p. 139-141 |
EOC, TMA |
|
02 |
Find equations of lines. |
p. 145-147 |
EOC, TMA |
|
03 |
Define and apply terms associated with mathematical
logic and reasoning. |
p. 151-153 |
EOC, TMA |
|
04 |
Read and write a two-column proof and identify
statements that do not logically follow from
the preceding statements. |
p. 151-153 |
EOC, TMA |
|
05 |
Solve for missing angles in problems involving
parallel lines cut by a transversal. |
p. 126-128 |
ECO, TMA |
|
06 |
Prove that two lines are parallel. |
p. 151-153 |
EOC, TMA |
|
Instructional Objective
0821.04 Describe, classify and prove relationships
between triangles. |
Standard Reference
G.2.2.2a,b, G.4.1.1d,f,g,i, G.4.1.2a, G.4.1.3c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify and classify triangles by their angle
measure and side lengths. (e.g., acute, obtuse,
right, scalene, isosceles, equilateral.) |
p. 178-179, 216-218 |
EOC, TMA |
|
02 |
Find angles related to triangles-interior/exterior. |
p. 186 |
EOC, TMA |
|
03 |
Describe and apply the congruence relationships.
for triangles (e.g., SSS, SAS, ASA, AAS, HL.) |
p. 192-194, 200-202, 207-209 |
EOC, TMA |
|
04 |
Use CPCTC in congruence relationships. |
pp. 192-194 |
EOC, TMA |
|
Instructional Objective
0821.05 Described and classify special segments
in triangles; apply inequalities to angles
and sides of triangles. |
Standard Reference
G.4.4.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify parts of triangles. (e.g. hypotenuse,
angle bisector, altitude, perpendicular bisector,
median, incenter, orthocenter, circumcenter,
centroid.) |
p. 236-246 |
EOC, TMA |
|
02 |
Use the triangle inequality theorem to solve
problems involving triangles. |
p. 261-263, 267-270 |
EOC, TMA |
|
03 |
Recognize and apply properties of inequalities
to the relationships between angles and sides
of a triangle. |
p.247-250 |
EOC, TMA |
|
Instructional Objective
821.06 Apply proportions in similar figures
to solve problems. |
Standard Reference
G.4.1.2a,b,c, G.2.1.1b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use ratios and proportions to solve problems. |
p. 282-284 |
EOC, TMA |
|
02 |
Prove triangles are similar. (e.g., AA~, SSS~,
SAS~) |
p. 298-300 |
EOC, TMA |
|
03 |
Apply ratios and proportions to solve problems
involving similar figures. |
p. 307-310, 316-317 |
EOC, TMA |
|
04 |
Know and apply the properties of a midsegment. |
p. 306 |
EOC, TMA |
|
Instructional Objective
0821.07 Apply the geometry of right triangles. |
Standard Reference
G.2.2.2d, G.4.1.2c,d, G.4.1.4a,b,c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Understand the basic concepts of right triangle
trigonometry; basic trigonometry ratios of sine,
cosine and tangent. |
p. 371-373, |
EOC, TMA |
|
02 |
Solve for parts of right triangles using the
geometric mean. |
p. 342-344 |
EOC, TMA |
|
03 |
Use the Pythagorean Theorem and its converse
to find missing side lengths and determine whether
a triangle is acute, right, or obtuse. |
p. 350-353 |
EOC, TMA |
|
04 |
Find missing side lengths and angles of special
right triangles. |
p. 357-360 |
EOC, TMA |
|
05 |
Use trigonometric ratios to solve for side lengths
and angles. |
p. 364-367 |
EOC, TMA |
|
Instructional Objective
0821.08 Apply properties of quadrilaterals
to solve problems. |
Standard Reference
G.2.2.2c,h,I, G.2.2.1b, G.4.1.1d,h,I, G.4.1.3b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify, name and classify polygons. |
|
EOC, TMA |
|
02 |
Find the angles of a polygon and the sum of
interior and exterior angles of a polygon. |
p. 404-406 |
EOC, TMA |
|
03 |
Use properties of parallelograms to solve problems
in geometry. |
p. 411-414 |
EOC, TMA |
|
04 |
Identify and use properties of special parallelograms. |
p. 424-427, 431-433, |
EOC, TMA |
|
05 |
Identify and use properties of trapezoids. |
p. 439-441 |
EOC, TMA |
|
06 |
Prove that quadrilaterals are parallelograms. |
p. 417-420 |
|
|
Instructional Objective
0821.09 Use coordinate geometry to solve problems
involving transformations. |
Standard Reference
G.4.1.2b, G.4.3.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the result of a specific transformation
or kind of transformation used to create a given
result. |
p.463-466, 470-472, 476-478 |
EOC, TMA |
|
02 |
Relate line symmetry to reflections. |
p. 466 |
EOC, TMA |
|
03 |
Relate rotational symmetry and rotations. |
p. 478 |
EOC, TMA |
|
04 |
Find magnitudes and directions of vectors. |
p. 498-502 |
EOC, TMA |
|
Instructional Objective
0821.10 Identify the parts of a circle and
calculate measurements of them. |
Standard Reference
G.2.1.1a, G.2.2.1a, G.2.2.2e,f, G.1.1.1a,b,c,
G.1.3.1a,b, G.4.1.1e |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use vocabulary associated with circles. |
p. 522-524 |
EOC, TMA |
|
02 |
Find angles and arcs related to circles and
segment lengths formed inside and outside circles.
(e.g., central and inscribed angles, and angles
formed by chords, secants, tangents) |
p. 529531, 536-539, 544-548, 552-555, 561-563,
569-571 |
EOC, TMA |
|
03 |
Develop the equation of a circle from given
information and identify the center and radius
of a circle equation. |
p. 575-577 |
EOC, TMA |
|
04 |
Find the circumference of circles and arc lengths. |
p. 523, 530 |
EOC, TMA |
|
Back to Top |
|
Unit
11 |
Areas of Polygons & Circles |
2 weeks |
|
Instructional Objective
0821.11 Use formulas to determine planar measurements
of polygons and circles. |
Standard Reference
G.1.1.1a,b,c, G.2.2.1a,b,c, G.2.1.1a,b,
G.4.2.1a,b, G.4.1.2a,b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find areas and perimeters of polygons. |
p. 595-597, 601-604, 610-612 |
EOC, TMA |
|
02 |
Calculate the area of circles, sectors and segments
of circles. |
p. 610-612, 623-624 |
EOC, TMA |
|
03 |
Determine how changes in dimensions affect the
perimeter and area of geometric figures. |
p. 617-618 |
EOC, TMA |
|
Instructional Objective
0821.12 Perform calculations for lateral area
and surface area of three-dimensional figures. |
Standard Reference
G.2.1.1a,b,c, G.2.1.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify three-dimensional figures and their
parts. (e.g., face, edge, vertex) |
p. 636-639 |
EOC, TMA |
|
02 |
Calculate the surface area of three-dimensional
objects. |
p.644, 649-651, 655-656, 640-662, 666-667, 671-673 |
EOC, TMA |
|
Instructional Objective
0821.12 Perform calculations for volume of
three-dimensional figures. |
Standard Reference
G.2.1.1a,b, G.2.2.1a,b,c, G.4.1.2b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the volume of three-dimensional objects. |
p. 688-690, 696-698, 702-703 |
EOC, TMA |
|
02 |
Determine how changes in dimensions affect the
surface area and volume of three-dimensional
figures. |
p. 711 |
EOC, TMA |
Back to Top
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