Download Geometry - Troup ISD

Geometry/Geometry Pre-AP Currriculum Map 2008-2009
Troup High School
10th Grade
NOTE: The Geometry class and the Geometry Pre-AP class are distinguished by the inclusion of special projects for the latter. These include
group projects and individual research projects, which may be completed on or off campus as appropriate. (See below.)
GT modifications: Special projects: Student-produced podcast(s), Research projects (e.g. Create most efficient sprinkler design plan,
Determine most efficient bus route based on pick-up distribution, Campus Improvement Project (research a construction plan and
optimize for geometrical efficiency), Who Uses Geometry guest speaker program, Shadow Day career project, etc.
SE modifications: (one or more of the following) Reduced assignment length, extended or indefinite time to do assignments, use some or all
student-created notes on tests, provide notes to students, allow students to use teacher notes on test, alternate (to proofs) extra credit
opportunities.
TA TEKS: Teacher: Elmo Projecting System, Promethean Board, Podcast creation, Geometer’s Sketchpad software, Promethean screencapture software, TI Smartview calculator simulation software, Apple moviemaking software, video camera and sound equipment (for
podcast production).
Student: Apple laptop computer used for notetaking, project creation (Pre-AP), Geometer’s Sketchpad, video camera and sound
equipment (Pre-AP)
Nine Weeks Content
Skills
Assessment
TEKS
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1st
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A REVIEW OF
ALGEBRA
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Solve single variable equations.
Solve single variable inequalities and graph the
solution set.
Solve systems of equations.
Solve quadratic equations.
Solve quadratic equations in application
situations.
Write equations of lines given different
information.
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Daily Assignments
TEST
TAKS Review
A.6.D, A.7.B,
A.8.B, A.10.A
G.4, G.7.A, G.
7.C
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GEOMETRY BASICS
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ANGLE BASICS
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Model basic terms of geometry.
Identify/define points, lines, planes, and their
intersections.
Find the distance between two points on a number
line and two points on a coordinate plane.
Find the midpoint of a segment on a number line
and on a coordinate plane.
Identify and classify angles.
Use the Angle Addition Postulate to find the
measures of angles.
Identify and use congruent angles and the bisector
of an angle.
Identify and use adjacent, vertical,
complementary, supplementary and liner pairs of
angles.
Apply properties of complementary and
supplementary angles to word problems.
Construct angles and their bisectors.
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Daily Assignments
Cumulative TEST
TAKS Review
Daily Assignments
Cumulative TEST
TAKS Review
G.2.A, G.2.B,
G.4, G.5.A
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PARALLEL LINES &
ANGLES
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ANGLES OF
POLYGONS
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QUADRILATERALS
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Identify parallel lines and planes and skew lines.
Identify angles formed by two lines cut by a
transversal.
Determine if angles formed by two lines cut by a
transversal are congruent or supplementary.
Apply algebra to parallel lines and angles.
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Classify triangles both by length of sides and
measure of angles.
Use the sum of the angles of a triangle to
determine measures.
Recognize and apply relationships between sides
and angles in a triangle.
Apply the Triangle Inequality Theorem.
Identify and name polygons.
Find the sum of the measures of interior angles of
polygons.
Find the sum of the measures of the exterior
angles of polygons and the measure of one
exterior angle of a polygon.
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Recognize and apply the properties of a
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parallelogram.
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Recognize and apply the properties of a rectangle. •
Recognize and apply the properties of squares and
rhombi.
Recognize and apply properties of a trapezoid.
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Daily Assignments
Activity-Parallel Lines
Investigation
Cumulative TEST
TAKS Review
G.2.B, G.4, G.
5.A, G.7.B, G.
9.A
Daily Assignments
Activity-Triangle
Inequality with Straws
Cumulative TEST
TAKS Review
G.2.B, G.4, G.
5.A, G.5.B, G.
9.B
Daily Assignments
Cumulative TEST
TAKS Review
G.4, G.5.A, G.
5.B, G.7.B, G.
9.B
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Nine Weeks Content
Skills
Assessment
-5-
TEKS
2nd
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SPECIAL TRIANGLES •
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Use properties of isosceles triangles.
Use properties of medians, altitudes, and angle
bisectors.
Use the Pythagorean Theorem and its Converse.
Apply the Pythagorean Theorem to word
problems.
Use the properties of 45°-45°-90° Triangles.
Use the properties of 30°-60°-90° Triangles.
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Recognize and use ratios and proportions.
Find trigonometric ratios using right triangles.
Use proportional parts of parallel lines to solve
problems.
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Identify similar figures
Solve problems involving similar figures
Use similar triangles to find information about
segments and angles
Use proportional parts of triangles to solve
problems.
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RATIO AND
PROPORTIONS
SIMILARITY
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AREA & PERIMETER
OF POLYGONS
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Understand and apply the meaning of area and
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perimeter of a polygon.
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Know and use the formulas for the area and
perimeter of a rectangle.
Know and use formulas for the areas and
perimeters of parallelograms.
Know and use the formulas for the areas and
perimeters of triangles.
Know and use formulas for the area and perimeter
of rhombi and trapezoids
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Daily Assignments
Cumulative TEST
TAKS Review
Daily Assignments
Cumulative TEST
TAKS Review
Daily Assignments
Cumulative TEST
TAKS Review
G.4, G.5.A, G.
5.D, G.7.B, G.
8.C, G.11.C
G.4, G.5.A, G.
9.A, G.9.B, G.
11.C
G.4, G.5.A, G.
5.B, G.11.A,
G.11.B, G.
11.C
G.2.B, G.4, G.
8.A
Daily Assignments
Cumulative TEST
TAKS Review
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MORE AREA OF
POLYGONS
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PRISMS
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PYRAMIDS
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Define and identify center, radius, and apothem of •
a regular polygon.
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Calculate the area of regular triangles using radii •
and apothems.
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Calculate the area of regular quadrilaterals using
radii and apothems.
Calculate the area of regular hexagons using radii
and apothems.
Determine the effect that changing dimensions has
on the area of two-dimensional figures.
Find the area of polygons in which dimensions
have been changed.
Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
Use top, front, side, and corner views of prisms to •
create accurate representations.
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Use and identify nets that representative of prisms •
Calculate the Lateral Area, Total Area, and
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Volume of right, regular prisms.
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Determine the effects that changing dimensions
will have on area and volume, and apply this
pattern to problems.
Daily Assignments
Quizzes
Activity-Net Building
Cumulative TEST
TAKS Review
Identify and draw nets of pyramids and their parts •
Calculate the Lateral Area, Total Area, and volume •
of a right pyramid.
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Determine the effect that changing dimensions has •
on area and volume of a pyramid, and apply this
pattern to problems.
Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
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G.2.B, G.4, G.
5.B, G.8.A, G.
9.B, G.11.D
G.2.B, G.4, G.
5.B, G.6.A, G.
6.B, G.6.C, G.
8.D, G.9.D, G.
11.D
G.2.B, G.4, G.
5.B, G.5.D, G.
6.B, G.8.D, G.
9.D, G.11.C,
G.11.D
Nine Weeks Content
Skills
Assessment
-8-
TEKS
3rd
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CIRCLES
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CYLINDERS, CONES, •
& SPHERES
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COORDINATE PLANE •
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ARCS & SECTORS
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Identify the basic parts of a circle.
Calculate the area and circumference of a circle.
Calculate the area of shaded regions.
Recognize tangents.
Use properties of tangents to solve problems.
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Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
G.2.B, G.4, G.
5.A, G.8.A, G.
9.C
Identify the parts of a cylinder.
Calculate the Lateral Area, Total Area, & Volume
of a cylinder.
Identify the parts of a cone.
Calculate the Lateral Area, Total Area, and
Volume of a cone.
Identify the parts of a sphere.
Calculate the Lateral Area, Total Area, and
Volume of a Sphere.
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Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
G.2.B, G.4, G.
5.B, G.6.B, G.
8.D, G.9.D, G.
11.D
Graph ordered pairs on a coordinate plane.
Locate images of figures by reflection.
Describe symmetry of figures.
Locate images of figures by translations.
Locate images of figures by dilation.
Recognize major arcs, minor arcs, semicircles,
and central angles.
Find measures of arcs and central angles.
Recognize and use relationships among arcs,
chords, and diameters.
Calculate the arc length and area of sectors.
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Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
G.4, G.5.C, G.
7.A, G.7.C, G.
10.A, G.11.A
G.2.B, G.4, G.
5.A, G.8.B, G.
9.C
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Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
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CIRCLES & ANGLES
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DEDUCTIVE
REASONING
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CONGRUENT
TRIANGLES
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Understand and apply theorems involving
properties of inscribed angles.
Understand and apply theorems involving
properties of angles formed by secants and
tangents.
Understand and apply theorems involving
properties of segments in circles.
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Daily Assignments
Quizzes
Cumulative TEST
TAKS Review
G.2.B, G.4, G.
5.A, G.5.B, G.
9.C
Write Conditional statements.
Write the converse, inverse, and contrapositive of
conditional statements.
Use properties of equality in algebraic and
geometric proofs.
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Daily Assignments
Quizzes
If-Then Story Board
TEST
G.1.A, G.3.A,
G.3.C, G.3.D,
G.3.E, G.4
Name and label corresponding parts of congruent •
triangles.
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Construct triangles using SSS, SAS, and ASA.
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Prove two triangles congruent using SSS, SAS,
and ASA.
Prove that corresponding parts are congruent
using CPCTC.
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Daily Assignments
Quizzes
Cumulative TEST
G.1.A, G.3.B,
G.3.C, G.3.D,
G.3.E, G.4, G.
10.B
4th
TAKS Review
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Describe functional relationships in a variety of StudyIsland.com self-paced All math
ways.
modules, Tests, practice
TEKS
Demonstrate an understanding of the properties TAKS tests
and attributes of functions.
Demonstrate an understanding of linear functions.
Formulate and use linear equations and
inequalities.
Demonstrate an understanding of quadratic and
other nonlinear functions.
Demonstrate an understanding of geometric
relationships and spatial reasoning.
Demonstrate an understanding of two- and threedimensional representations of geometric
relationships and shapes.
Demonstrate an understanding of the concepts and
uses of measurement and similarity.
Demonstrate an understanding of percents,
proportional relationships, probability, and
statistics in application problems.
Demonstrate an understanding of the
mathematical processes and tools used in problem
solving.
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