Unit Presentation
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Ryan Woodson Rogers High School Geometry Right Triangle Unit
Goals
The student will be able to
Use the Pythagorean theorem to solve problems (T.2.G.4a) Use the Converse of the Pythagorean theorem to determine whether a triangle is right, obtuse, or acute (T.2.G.4b) Use the properties of special right triangles (45-45-90, 3060-90) to solve problems (T.2.G.5) Be able to solve problems using Sine, Cosine, and Tangent, including problems involving angles of depression and elevation to determine lengths and angles (T.2.G.6, T.2.G.7) Solve problems involving the altitude of a right triangle (T.2.G.6)
Methods
Discovery Quizzes/ Activities
Direct Instruction/ Guided Practice
Students will discover patterns on their own Teacher will guide students as to the why and define specific methods to solve problems
Individual Practice
Students will apply the methods to solve problems on their own
Special Circumstances
Differentiation
Discovery quiz
Individual practice
Lower students remediate the previous learning High students discover new learning High students can help direct learning Teacher can assist those who are struggling There are problems at the end of the homework that the high students will be asked to consolidate many lessons together
Further Differentiation
Modified tests Students are allowed to utilize notes on homework and daily quizzes, as well as a reference sheet on the test
Assessment
Daily Quizzes
Question/Answer time
Allows teacher to evaluate learning and determine whether to remediate or what points to reemphasize Students will be called upon to answer questions and solve problems Students will have the opportunity to ask questions they may have
Post-Assessment
Students will demonstrate their understanding
If a student underperforms he/she will have the opportunity to re-take the unit exam after remediation
One more thing
It doesn’t matter how much you drill the kids, they will not get it unless they believe they can. And with this unit the concepts that they did the best on were the ones where I gave them problems and let them solve the problems the old way, and then notice the new pattern
Goals
The student will be able to
Use the Pythagorean theorem to solve problems (T.2.G.4a) Use the Converse of the Pythagorean theorem to determine whether a triangle is right, obtuse, or acute (T.2.G.4b) Use the properties of special right triangles (45-45-90, 3060-90) to solve problems (T.2.G.5) Be able to solve problems using Sine, Cosine, and Tangent, including problems involving angles of depression and elevation to determine lengths and angles (T.2.G.6, T.2.G.7) Solve problems involving the altitude of a right triangle (T.2.G.6)
Methods
Discovery Quizzes/ Activities
Direct Instruction/ Guided Practice
Students will discover patterns on their own Teacher will guide students as to the why and define specific methods to solve problems
Individual Practice
Students will apply the methods to solve problems on their own
Special Circumstances
Differentiation
Discovery quiz
Individual practice
Lower students remediate the previous learning High students discover new learning High students can help direct learning Teacher can assist those who are struggling There are problems at the end of the homework that the high students will be asked to consolidate many lessons together
Further Differentiation
Modified tests Students are allowed to utilize notes on homework and daily quizzes, as well as a reference sheet on the test
Assessment
Daily Quizzes
Question/Answer time
Allows teacher to evaluate learning and determine whether to remediate or what points to reemphasize Students will be called upon to answer questions and solve problems Students will have the opportunity to ask questions they may have
Post-Assessment
Students will demonstrate their understanding
If a student underperforms he/she will have the opportunity to re-take the unit exam after remediation
One more thing
It doesn’t matter how much you drill the kids, they will not get it unless they believe they can. And with this unit the concepts that they did the best on were the ones where I gave them problems and let them solve the problems the old way, and then notice the new pattern
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