| OUTCOME/
ESSENTIAL
QUESTION |
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How
can I apply good reasoning?
Where is geometry in real life? |
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Patterns
Conditionals
Algebraic Properties
Optical Illusions
Structure of Geometry
Coordinate Geometry |
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Recognize
and use inductive reasoning, symmetry, congruence,
similarity (3-1-K, 3-1-A)
Write and solve equation using segment and angle
relationships, midpoint and slope of line
Demonstrate meaning of vocabulary |
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Check
Homework
Quizzes
Tests |
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How
can I make sure 2 lines are parallel in real life?
What are the relationships between 2 lines and how
can I apply them? |
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Vocabulary
Parallel and Perpendicular Lines
Laws of Logic, Styles of Proofs
Solving Systems of Equations |
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Use
slope of lines to write equations (2-3-K, 2-3-A,
3-1-K, 3-1-A, 3-2-K, 3-4-K, 3-4-A, 1-2-K, 2-2-K,
2-2-A, 1-4-K)
Identify different types of lines
Use laws of logic-syllogism, detachment,
contrapositive
Identify angle relationships |
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Check
Homework
Quizzes
Tests |
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Why
are triangles important?
Can I determine different types of triangles? |
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Angles
of Triangles
Congruence in Triangles
Isosceles Triangles and Properties
Right Triangle Properties |
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Classify
by sides and angles (2-4-K, 2-4-A, 3-1-K, 3-1-A,
3-2-K, 3-2-A)
Use interior and exterior angle relationships
Use congruence postulates/theorems
Use isosceles and right triangle relationships to
solve problems |
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Check
Homework
Quizzes
Tests |
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| What
do the centers of a triangle tell us and how can I
find them? |
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Special
segments of a triangle
Inequalities in one and two triangles
Use properties of angle and perpendicular bisectors,
median and altitudes |
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Name
4 centers and how they are found (2-2-K, 2-2-A,
2-4-K, 2-4-A, 3-1-K, 3-1-A, 3-3-K, 3-3-A)
Draw conclusions using inequality theorems
Construct the 4 centers of the triangles to draw
conclusions |
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Constructions
Test on Constructions
Test on Vocabulary and Applications |
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What
are polygons?
Do the same properties of triangles apply to other
polygons? |
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Convex
and Concave Polygons
Sort Quadrilaterals by Type and Properties
Distance Formula |
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Classify
and identify by number of sides, convex/concave,
regular (3-1-K, 3-1-A, 3-2-K, 3-2-A, 3-4-K, 3-4-A,
4-2-K)
Find measures of angles
Use properties of quads to solve noncoordinate
settings |
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Check
Homework
Quizzes
Tests |
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How
are ratio and proportions useful in real problems?
How does similarity differ from congruence? |
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Properties
of Ratio and Proportion
Similar Polygons
Proving Triangles Similar |
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Use
proportions/scale factor to solve problems (3-1-K,
3-1-A, 3-2-K, 4-1-K)
Use triangle's similarity to solve applications
Use proportions to solve problems |
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Check
Homework
Quizzes
Tests |
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How
does a right triangle differ from other triangles?
Why are right triangles useful? |
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Pythagorean
Theorem
Geometric Mean
Right Triangle Formulas
Right Triangle Trig
Simplifying Radicals |
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Apply
geometric mean and proportionality of right
triangles to solve problems(2-4-A, 3-2-K, 3-2-A,
3-1-K, 3-1-A, 1-4-K)
Be able to use formulas for all triangles to solve
for sides and angles |
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Check
Homework
Quizzes
Tests |
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How
does perimeter and area differ?
How do I measure area and perimeter of complex
shapes? |
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| Area/Perimeter
Formulas for Polygons, Circles and Sectors |
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Use
formulas correctly (1-4-A, 3-1-K, 3-1-A, 3-2-K,
3-2-A)
Solve application problems using the correct
formulas |
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Check
Homework
Quizzes
Tests |
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Why
is volume and capacity so important?
How can I measure volume and capacity of solids? |
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| Volume/Surface
Area Formulas for Prism, Spheres, Cones, Cylinders |
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| Use
formulas correctly to solve application problems
(1-4-A, 2-4-K, 2-4-A, 3-1-K, 3-1-A, 3-2-K, 3-2-A) |
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Check
Homework
Quizzes
Tests |
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