Honors Geometry Curriculum |
Quarter ONE
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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1-1 |
Introduction to
geometry |
9.B.4 |
We have copied, but
not |
yet applied to
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this sheet |
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1-2 |
Measurement of angles
and segments
Collinear |
9.B.4 |
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1-3 |
Colllinearity,
Betweenness, Assumptions |
9.B.4 |
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1-4 |
Beginning 2 column
proof |
9.C.4c |
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1-5 |
Division of segments
and angles |
9.B.4 |
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1-6 |
Paragraph Proofs
(optional) |
9.C.4c |
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1-7 |
Deductive Structure |
9.C.4b |
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1-8 |
Statements of Logic |
9.C.4a |
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1-9
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Probability OMIT |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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2-1 |
Perpendicularity |
9.B.4 |
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2-2 |
Complementary,
supplementary angles |
9.B.4 |
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2-3 |
Drawing Conclusions |
9.C.4c |
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2-4 |
Congruent Complements
and supplements |
9.B.4, 9.C.4c |
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2-5 |
Addition and
Subtraction properties |
9.B.4, 9.C.4c |
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2-6 |
Multiplication and
Division properties |
9.B.4, 9.C.4c |
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2-7 |
Transitive and
substitution |
9.B.4, 9.C.4c |
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2-8 |
Vertical Angles |
9.B.4, 9.C.4c |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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3-1 |
What are congruent
figures? |
9.B.4 |
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3-2 |
Proving Triangles
Congruent |
9.B.4, 9.C.4c |
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3-3 |
CPCTC and circles |
9.B.4, 9.C.4c |
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3-4 |
Beyond CPCTC |
9.B.4, 9.C.4c |
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3-5 |
Overlapping Triangles |
9.B.4, 9.C.4c |
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3-6 |
Types of Triangles |
9.B.4 |
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3-7 |
Angle-Side Theorems |
9.B.4, 9.C.4c |
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3-8 |
The HL Postulate |
9.B.4, 9.C.4c |
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Chapter |
Teach |
Quiz |
Review |
Project |
Test |
Total |
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1 |
8 |
2 |
2 |
1 |
1 |
14 |
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2 |
8 |
2 |
2 |
1 |
1 |
14 |
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3 |
8 |
2 |
2 |
1 |
1 |
14 |
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42 |
Quarter TWO
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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4-1 |
Detours and Midpoints |
9.B.4 |
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4-2 |
Case of the Missing
Diagram |
9.C.4b |
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4-3 |
A Right-Angle Theorem |
9.B.4, 9.C.4c |
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4-4 |
Equidistance Theorems |
9.B.4, 9.C.4c |
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4-5 |
Parallel Lines |
9.B.4 |
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4-6 |
Slope |
9.B.4 |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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5-1 |
Indirect Proof
(optional) |
9.C.4c |
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5-2 |
Proving Lines Parallel |
9.B.4, 9.C.4c |
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5-3 |
Congruent Angles with
Parallel lines |
9.B.4, 9.C.4c |
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5-4 |
Four-sided Polygons |
9.B.4 |
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5-5 |
Properties of
Quadrilaterals |
9.B.4, 9.C.4c |
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5-6 |
Proving Parallelograms |
9.C.4c |
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5-7 |
Proving Special
Quadrilaterals |
9.C.4c |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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6-1 |
Relating Lines to
Planes |
9.B.4, 9.C.4c |
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6-2 |
Perpendicularity of
line/plane |
9.B.4, 9.C.4c |
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6-3 |
Facts about parallel
planes |
9.B.4, 9.C.4c |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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7-1 |
Triangle Applications
Theorems |
9.C.4b |
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7-2 |
Proof-oriented
Triangle Theorems |
9.C.4b, 9.C.4c |
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7-3 |
Formulas involving
Polygons |
9.B.4, 9.C.4b |
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7-4 |
Regular Polygons |
9.B.4, 9.C.4b |
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Chapter |
Teach |
Quiz |
Review |
Project |
Test |
Total |
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4 |
6 |
1 |
1 |
1 |
1 |
10 |
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5 |
6 |
2 |
2 |
1 |
1 |
12 |
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6 |
3 |
0 |
1 |
0 |
1 |
5 |
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7 |
5 |
1 |
1 |
2 |
1 |
10 |
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FINALS |
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2 |
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3 |
5 |
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42 |
Quarter THREE
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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8-1 |
Ratio and Proportion |
9.C.4b |
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8-2 |
Similarity |
9.B.4 |
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8-3 |
Proving similar
triangles |
9.B.4, 9.C.4c |
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8-4 |
Congruence and
proportions in similar triangles |
9.B.4, 9.C.4c |
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8-5 |
Three Proportion
Theorems |
9.C.4c |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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9-1 |
Review of Radicals and
Quadratic Equations |
6.B, 6.C, 8.A, 8.C |
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9-2 |
Intro to Circles |
9.B.4 |
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9-3 |
Congruent Angles with
Parallel lines |
9.B.4, 9.C.4b, 9.C.4c |
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9-4 |
Pythagorean Theorem |
9.B.4 |
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9-5 |
Distance Formula |
9.C.4b |
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9-6 |
Families of Right
Triangles |
9.C.4b |
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9-7 |
Special Right
Triangles |
9.C.4b |
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9-8 |
Pythagorean theorem
and space figures |
9.C.4b |
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9-9 |
Intro to Trigonometry |
9.D.4 |
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9-10 |
Trigonometric Ratios |
9.D.4 |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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10-1 |
The Circle |
9.B.4, 9.C.4c |
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10-2 |
Congruent Chords |
9.B.4, 9.C.4c |
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10-3 |
Arcs of Circles |
9.B.4, 9.C.4c |
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10-4 |
Secants and Tangents |
9.B.4, 9.C.4c |
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10-5 |
Angles related to
Circles |
9.B.4, 9.C.4c |
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10-6 |
More Angle-Arc
Theorems |
9.B.4, 9.C.4c |
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10-7 |
Inscribed and
Circumscribed Polygons |
9.B.4, 9.C.4.a,
9.C.4.b |
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10-8 |
Power Theorems |
9.B.4, 9.C.4c |
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10-9 |
Circumference and Arc
Length |
9.B.4, 9.C.4c |
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Chapter |
Teach |
Quiz |
Review |
Project |
Test |
Total |
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8 |
5 |
2 |
2 |
1 |
1 |
11 |
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9 |
10 |
2 |
3 |
1 |
1 |
17 |
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10 |
7 |
2 |
2 |
2 |
1 |
14 |
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42 |
Quarter FOUR
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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11-1
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Understanding Area |
9.B.4, 9.C.4c |
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11-2 |
Areas of Parallelograms and Triangles |
9.B.4, 9.C.4c |
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11-3 |
Area
of a Trapezoid |
9.B.4, 9.C.4c |
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11-4 |
Areas of Kites and related figures |
9.B.4, 9.C.4c |
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11-5 |
Areas of regular Polygons |
9.B.4, 9.C.4c |
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11-6 |
Area
of circles, sectors and segments |
9.B.4, 9.C.4c |
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11-7 |
Ratio of Areas |
9.B.4, 9.C.4c |
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11-8 |
Hero’s and Brahmagupta’s Formulas
(optional) |
9.B.4, 9.C.4c |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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12-1 |
Surface area of Prisms |
9.B.4, 9.C.4c |
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12-2 |
Surface Area of
Pyramids |
9.B.4, 9.C.4c |
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12-3 |
Surface Area of
Circular Solids |
9.B.4, 9.C.4c |
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12-4 |
Volumes of Prisms and
Cylinders |
9.B.4, 9.C.4c |
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12-5 |
Volumes of Pyramids
and Cones |
9.B.4, 9.C.4c |
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12-6 |
Volumes of Spheres |
9.B.4, 9.C.4c |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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13-1 |
Graphing Equations |
8.B |
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13-2 |
Equations of Lines |
8.C, 8.D |
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13-3 |
Systems of Equations |
8.C, 8.D |
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13-4 |
Graphing Inequalities |
8.B |
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13-5 |
Three dimensional
graphing and reflections |
9.A.4b
9.B.4 |
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13-6 |
Circles |
9.B.4 |
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13-7 |
Coordinate Geometry
Practice |
8.B, 8.C, 8.D |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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14-1
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Locus |
9.A.4b, 9.C.4a |
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14-2 |
Compound Locus
(optional) |
9.A.4b, 9.C.4a |
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14-3 |
Concurrence Theorems
(optional) |
9.B.4 |
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14-4 |
Basic Constructions |
9.A.4b |
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14-5 |
Applications of Basic Constructions
(optional) |
9.A.4b |
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14-6 |
Triangle Constructions
(optional) |
9.A.4b |
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Sections |
Geometry Topics |
State Goals |
PSAE/PLAN questions |
Applications |
Websites |
Quiz/Test |
Manipulatives |
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15-1
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Number Properties
(optional) |
8.B |
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15-2 |
Inequalities in a Triangle
(optional) |
9.B.4 |
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15-3 |
The
Hinge Theorem
(optional) |
9.B.4 |
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Chapter |
Teach |
Quiz |
Review |
Project |
Test |
Total |
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11 |
7 |
2 |
1 |
1 |
1 |
12 |
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12 |
6 |
1 |
1 |
1 |
1 |
10 |
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13 |
6 |
2 |
2 |
1 |
1 |
12 |
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14 |
2 |
1 |
0 |
0 |
0 |
3 |
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FINALS |
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2 |
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3 |
5 |
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42 |
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Each quarter has a table with the
suggested number of days for introducing new materials (teach), quizzing,
reviews, projects, and chapter testing. It is imperative that the
chapters are completed in the quarter in which they appear since the
semester exams will contain material from those chapters.
A minimum of two projects per quarter
should be completed. Topics may be chosen from the following list or from
other sources. These projects can be assigned as either cooperative group
projects, individually, or a combination of the two.
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GEOMETRY PROJECT IDEAS: |
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Quarter 1 |
Quarter 2 |
Quarter 3 |
Quarter 4 |
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Perspective Drawings |
Height of the Pole –
Mirror |
Height of the Pole –
Hypsometer |
Roof My House |
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Elevation Drawings |
Golden Rectangle |
Height of the Pole -
Clinometer |
Resurface the Track |
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Carpet the School |
Replace Ceiling Tiles |
Pythagorean Theorem
Proof |
Resurface the Parking
Lot |
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Geometry Scavenger
Hunt |
Design a Park |
Pyramid / Paper Plates |
GPS – Land Area |
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