Course ...



Course: GEOMETRY

Unit of Study: SIMILAR POLYGONS & RIGHT TRIANGLES

Unit Essential Question: How can you determine if two figures are similar? How do you solve a right triangle for missing measures? (How do you decide which method to use when solving a right triangle?)

Beginning Date: 11/28/2011 Ending Date: 12/02/2011

State competency goal and objective: 2.03a: Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: a) Triangles. 1.01: Use the trigonometric ratios to model and solve problems involving right triangles.

| | | |Teacher Input | | |

| | | |(2. Presentation) | | |

|Date | |Activating Strategy/ | | |Closure |

| |Essential |Emotional Hook |Student Active Participation |Summarizing Activity | |

| |Question (s): |(1. Start the lesson) |(3. Guided practice) |(5. Evaluation) | |

| | | | | |Homework |

| | | |Additional Student Activities | | |

| | | |(4. Independent practice) | | |

| |How do you determine if two | |Instruction: [pic] | |3, 2, 1… |

| |triangles are similar? |Warm- ups: |8.4 Similar Triangles | |3 examples of similar |

|11/28/11 |How do you prove that two |1.[pic] 2. [pic] |Brain Pop Movie: Similar Triangles | |triangles |

| |triangles are similar? | |8.5 Proving Triangles are Similar | |2 things you learned |

| | |3. simplify: 12/20 = |Guided Practice: |Quiz: 8.1 to 8.3 |1 question/ thing you are |

| | | |Review of 8.1 & 8.2 & 8.3 - popsicle sticks | |unclear of. |

| | |4. |Similar triangles – Kuta | | |

| | | |Perimeter of Similar Triangles | |Section 8.4: pp. 483-487 |

| | | |Independent Practice: | |#9-17 all, 18-26 all, 33-38 |

| | | |CHP.8.8.4.A.POSTULATE.FOR.SIMILAR.TRIANGLES.PPT.doc | |all, 40-46 even |

| | | |Quiz: 8.1 to 8. 3 | | |

| | |Warm- ups: |Instruction: [pic] | |Popsicle stick questioning: |

|11/29/11 |How do you use proportions |Give a written explanation |8.6 Proportions and Similar Triangles /PowerPoint- continued |8.6 Guided notes with |Randomly choose students to |

| |to find missing lengths in |of how to solve for x, y, |Guided Practice: |Checkpoint exercises. |recap main points of lesson.|

| |figures? |and z. |8.6 Guided notes with examples | | |

| | | |Chapter Review: pp. 516-518 # 1-17 all | |Chapter Test: p. 519 #1-17 |

| | | |Independent Practice: | |all |

| | | |Proportional parts in triangles and parallel lines | | |

| | | |Review of Chapter 8: group- basketball review | | |

| |Are all right triangles | |Instruction: |Ticket out the door. |Answer the first essential |

| |similar? And how would you |KWL- Right triangles and |9.1 Similar Right Triangles & 9.2 Pythagorean Theorem |1. On a bicycle trip, Gina |question. |

| |prove or disprove? |similar right triangles |Guided Practice: |rode her bike up a steep | |

| |How and when do you use | |9.1 / 9.2 notes with examples. Discussion. |hill. She measured her |Section 9.2: pp. 538-540 |

|11/30/11 |Pythagorean Theorem to solve|Brain Pop: The Pythagorean |Independent Practice: |distance to be 2.5 miles. |#6-30 even |

| |right triangles? |Theorem |Chapter 8 Test: CHAPTER 8.TESTS- similar to test |She knew that the horizontal| |

| | | |Algebra Review: Radicals ( Grade 8- maintain) |distance was 1.9 miles. How | |

| | | |Section 9.1: pp. 531-534 #11-30 all |high was the hill? | |

| | | | |2. [pic]Find the missing | |

| | | | |side. | |

| |How and when do you use | |Instruction: |Create a graphic organizer |What is the converse of |

| |Pythagorean Theorem to solve| |9.3 The Converse of the Pythagorean Theorem & 9.4 Investigation: Special Right |for how and when you use the|P.T.? |

| |right triangles? |Have students write the |Triangles |Pythagorean theorem to solve|How do you classify triangle|

| |Given three lengths, how do |converse of math theorems & |Guided Practice: |right triangles. |using P.T.? |

| |you determine the triangle |statements. |9.4 Concept Activity: Investigate Special Right Triangles in pairs. |(Be sure you use steps/ | |

|12/1/11 |type (acute, obtuse, right)?| |(McDougal Littell: Geometry book) |procedures) [pic] | |

| | | |Independent Practice: | | |

| | | |9.3 Homework Quiz: HW.QUIZ.9.3.doc | | |

| | | |Check Pythagoras | | |

| | | |Instruction: | | |

| |How and when do you use |Pythagorean Theorem |9.4: Special Right Triangles | |30 60 90.pdf |

|12/2/11 |45-45-90 rules and 30-60-90 | |Guided Practice: |Fill in the L- Learned | |

| |rules? | |9.4 Guided notes [pic] |column on your KWL chart | |

| | | |Independent Practice: | | |

| | | |Chapter 9: Quiz 1- 9.1 to 9.3 | |None |

| | | |Concentration: partners, take turns as review | | |

|Literacy enhancements/Key |Dilations Scale factor |Radical | Similar |Pythagorean theorem |Special right triangles: |

|Vocabulary: |Scalar multiplication |short leg |Proportion |Hypotenuse |30-60-90 |

| |Extremes & Means |long leg |cross product |Legs |45-45-90 |

| |Geometric mean |rationalize |ratio corresponding sides |Right triangle Right angle |3:4:5 |

|Adaptations/ |Use patty paper |Use geometer’s sketchpad as technology |*Let students write the converse- good |Pair students- triangles/squares. | |

|Differentiation: |Use graph paper |opener (preview version) |review of logic. |-Strong. -Weak | |

-----------------------

[pic]

[pic]

[pic]

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download