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Transcript

Lesson Title: 5.1 Congruent Triangles Lesson Length: 2 days HSCEs: G2.3.1 Lesson Objectives: Students will be able to determine if two triangles are congruent based on the congruent postulates or theorems. Lesson Opener: What does the term congruent mean? Give a picture of a triangle and have them label/pick out the “sides” and the “angles”. Ask them to point the side opposite a specific angle. Ask them how to label the points (small case or upper case). Definitions/Vocabulary to Cover: side, angle, right angle, hypotenuse, leg, reflexive 1 Examples to Cover: Is there enough information given to prove the triangles are congruent? If so, state the postulate or theorem. 2 3 Lesson Title: 5.2 Proving Triangles are Congruent Lesson Length: 1 day HSCEs: G.2.3.1, G.2.3.2 Lesson Objectives: Students will be able to write proofs regarding congruent triangles. Lesson Opener: What does the term congruent mean? Draw two apparently congruent triangles….now mark sides & angles to make them congruent. What if you weren’t given all the necessary information, what would you need to do? Definitions/Vocabulary to Cover: midpoint, congruent, parallel, lines cut by a transversal, parallel lines cut by a transversal, reflexive property 4 Special Note: you may want to revisit doing a 2 column proof using algebraic equations. 5 Lesson Title: 5.3 Similar Triangles Lesson Length: 1 day HSCEs: G2.3.3, G2.3.4, G2.3.5 Lesson Objectives: Students will be able to show triangles are similar using the correct postulate or theorem. Lesson Opener: What does the term similar mean? Is everyone in this room similar to each other? In what way? How do you think the terms “similar” and “congruent” are related? Definitions/Vocabulary to Cover: similar, similarity statement, ratio, scale factor, proportion. Examples: Are the triangles similar? If so, list the congruent angles. Is so, what is the scale factor? 1. State if the triangles are similar. If so, write the similarity statement and the postulate or theorem. 2. 3. 6 4. 5. 6. 7. 7 Lesson Title: 5.4 Using Similar Triangles Lesson Length: 1 day HSCEs: G2.3.4, G2.3.5 Lesson Objectives: Students will be able to find the missing measurements using similar triangles. Lesson Opener: What does the term similar mean? Can a triangle have side lengths: 12, 14, 5 while another triangle has sides 12, 14, 10 and still be considered similar? If you know two triangles are similar and triangle A has sides 13,15, x but you know the second triangle is twice as big, can you determine the side lengths of triangle B? Definitions/Vocabulary to Cover: similar, ratio, scale factor, proportion Examples: 1. Find KJ 3. Solve for x. 2. What is the scale factor? 4. Solve for x. 8 9