Download Lesson plan - South Williamsport Area School District

South Williamsport Area School District
Course Plan Template
Teacher: Chris Lusk/Dave Rovenolt
School Year: 2014-2015
Course: Geometry
Intended Grade Level: 10/9
Course Summary: The Geometry course is designed so that students are challenged to develop
21st century skills such as critical thinking and creative problem solving, while engaging in
exciting careers within science, Technology, Engineering and Mathematics related fields. The
topics that will be covered will include, but not be limited to, Geometric structure, congruence,
similarity and measurement.
Course Outcomes:
By the end of the course, students will know:
- The basic tools that make up the foundation of geometry.
- What makes two objects congruent and the different relationships that present themselves
when objects are congruent.
- What makes two object similar. and the different relationships that present themselves when
objects are similar.
- Ways to find different measurements in geometric figures.
By the end of the course, students will be able to:
- Use the definitions, postulates and theorems to write paragraph and two column proofs.
- Prove that two figures are congruent or use congruent figures to prove other relationships
within figures.
- Prove that two figures are similar or use similar figures to prove other relationships within
figures.
- Calculate area, surface area and volume.
Standards Targeted1
- Common Core State Standards.
Units of Study
Unit Topic
Primary Learning Outcome
Unit 0 – Preparing for Geometry
-
Review Basic Algebra Skills to prepare for
Geometry
Unit 1 – Tools of Geometry
-
The students will be able to find different
measurements from distance to perimeters,
areas, and volumes.
1
Indicate primary Standards emphasis:
- PA Core - Math / ELA / Science & Technology / History & Social Studies
- National Content Standards (Name and Type)
- Industry Recognized Standards (Name and Type)
Revised - April 30, 2017
Course plans represent district curriculum. They will be posted to building web pages accessible to the school and community.
South Williamsport Area School District
Course Plan Template
Unit 2 – Reasoning and Proof
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Unit 3 – Parallel and Perpendicular Lines
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Unit 4 – Congruent Triangles
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Unit 5 – Relationships in Triangles
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Unit 6 – Quadrilaterals
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Unit 7 – Proportion and Similarity
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Make conjectures and find counterexamples
for statements.
Use deductive reasoning to reach valid
conclusions.
Write proofs involving segment and angle
theorems.
Identify and prove angle relationships that
occur with parallel lines and a transversal
Use slope to analyze a line and to write its
equation.
Find the distance between a point and a line
and between two parallel lines.
Apply special relationships about interior
and exterior angles of triangles.
Identify corresponding parts of congruent
triangles and prove triangles are congruent.
Learn about the special properties of
isosceles and equilateral triangles.
Learn about special segments and points
related to triangles.
Learn about relationships between the sides
and angles of triangles.
Learn to write indirect proofs.
Find and use the sum of the measures of
the interior and exterior angles of a
polygon.
Recognize and apple properties of
quadrilaterals.
Compare quadrilaterals.
Identify similar polygons and use ratio and
proportions to solve problems.
Identify and apply similarity
transformations.
Use scale models and drawings to solve
problems.
Unit 8 – Right Triangles and Trigonometry
-
Use the Pythagorean Theorem
Use properties of special right triangles.
Use trigonometry to find missing measures
of triangles.
Unit 9 – Transformations and Symmetry
-
Name and draw figures that have been
reflected, translated, rotated and dilated.
Recognize and draw compositions of
transformations.
Identify symmetry in two and three
dimensional figures.
-
Revised - April 30, 2017
Course plans represent district curriculum. They will be posted to building web pages accessible to the school and community.
South Williamsport Area School District
Course Plan Template
Unit 10 – Circles
-
Unit 11 – Areas of Polygons and Circles
-
Unit 12 – Extending Surface Area and Volume
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Unit 13 – Probability and Measurement
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Learn the relationships between central
angles, arcs and inscribed angles in a circle.
Define and use secants and tangents.
Use an equation to identify or describe a
circle.
Find areas of polygons.
Solve problems involving areas and sectors
of circles.
Find scale factors using similar figures.
Find lateral areas, surface areas, and
volumes of various solid figures.
Investigate Euclidean and Spherical
Geometries
Use Properties of Similar Solids.
Represent sample spaces.
Use permutations and combinations with
probability.
Find probabilities by using length and area.
Find probabilities of compound events.
Advanced Learner Recommendations
*Advanced Learners with GIEPs: All Specially Design Instruction is followed as outlined by the student's
Gifted Individualized Education Plan.
Struggling Learner Recommendations
*Struggling Learners with IEPs: All accommodations/modifications are followed as outlined by the
student's Individualized Education Plan. Examples: extended time, small group testing, study guides, test
read aloud, and modifications made to the regular education curriculum.
*Struggling Learners without IEPs: Available during the daily FLEX period to ask questions or review
materials, restating of directions, and instruction that incorporates the different types of learning
modalities (ex: visual, auditory, or kinesthetic).
*Implement Note Cards to help with learning the postulates and theorems.
Revised - April 30, 2017
Course plans represent district curriculum. They will be posted to building web pages accessible to the school and community.