KyleMeunierMath

**__Focus on Concepts__**
 * Lesson Topic and Description:** Right Triangles
 * Special Right Triangles
 * sin, cos, tan
 * Pythagorean Thm.
 * 30-60-90 right triangles
 * isoscles right triangles, 45-45-90 triangles

**__Provision for Acceleration and Compression of Content__**

 * Do not teach how to do pythag. thm. (can already do)
 * Provide why it works.
 * Special right triagles, 3-4-5, 6-8-10 etc.
 * Special right triagles, 3-4-5, 6-8-10 etc.

**__Enrichment__**
intro reciprocal ratios relate to vectors develop multiple proofs of the Pythagorean theorem
 * Projects applying use of concepts
 * More advanced problems

**__More Advanced Reading and Vocabulary__**

 * ‍‍‍‍‍‍‍‍‍‍

**__Use of Primary Sources, Artifacts, and Real World Objects__**

 * Use of measuring devices to create your own items
 * use indirect measurement and trig

**__Interdisciplinary Connections__**

 * connection with construction, engineering, architecture in designing of objects

**__Includes In-Depth and Critical Analysis__**

 * students discover the ratio for special right triangles

**__Fosters Creative Expression__**

 * Allow students to create their own item using right triangles

‍ **__Exploration of Areas of Choice__**

 * ==** present situations where several methods can be used and they pick which they prefer **==

Knowledge or Remembering- State and label the parts of a right triangle. Comprehension or Understanding - How would you find the length of the hypotenuse given the legs? Application or Applying - Given the angle of elevation and horizontal distance between yourself and a flagpole find the height of flagpole. Analysis or Analyzing - Find the lengths of the sides of a right triangle using more than one technique. Synthesis or Evaluating - Given a set of data find the angles and lengths of a right triangle. Evaluation or Creating - Use measuring devices to design your own contraption using right triangles. Develop a list of instructions that can be read and re-created by someone else.


 * Unit Name and Lesson Plan Title: Right Triangles-Pythagorean Theorem**

(include appropriate citations and copyright permissions if not original work) Kyle Meunier: Grade 9 and Geometry Honors
 * Author: Grade and Subject:**

(brief description including objective, type of lesson, use of grouping, etc.)
 * Annotation:**

**Student Learning Outcomes or Objectives:** (as a result of this lesson, what will the students will be able to KUD? must include how outcomes relate to overall unit objectives, standards, and Big Ideas/ concepts) Students will be able to find the length of each side of a triangle using pythagorean theorem. They will be able to apply the theorem to determine if a triangle is right, acute, or obtuse. They will be able to solve applications using a right triangle. (likely some or all will be above grade, may be from more than one subject, includes skills) See state standards....not with me.... One day (include numbers of items needed, all technology needed, titles and authors of any materials needed)
 * Standards:**
 * Total Duration:**
 * Materials and Equipment Needed:**

**Lesson and Learning Activities:**
 * **Steps including time for each:** Cover how to use theorem. Provide example problems. Student work in pairs to solve example problems. Challenging applications will be tried in groups. (logical progression, clear teaching instructions with good detail; how students are working; type of learning)
 * **Lesson attachments or weblinks:** (for particular steps with guidance for what, who and how to use it)
 * **Differentiation within High Ability Group:** Students who can solve and apply theormem will be asked to develop a proof of theorem. (for students who have already mastered material or who can work at a higher level than other high ability students )

**Assessment:** **Students will be asssessed in informally in class while working within their groups. Students will be formally assessed in a test.** (measures identified Student Learning Outcomes; clear directions for students; evidence of higher level thinking is included; written materials attached; scoring system attached including any rubric, checklist, etc. )