## Estimating Radicals Warm-Up - Section 1: Warm-Up: Estimating Radicals

# The Pythagorean Theorem

Lesson 1 of 6

## Objective: Students will be able to prove the Pythagorean Theorem and solve problems using the Pythagorean Theorem.

*50 minutes*

#### Warm-Up: Estimating Radicals

*15 min*

While students work on the Estimating Radicals Warm-Up, which requires them to estimate radicals by identifying the two integers between which they fall, I quickly scan students’ pre-assessments. The pre-assessments for this unit give me an idea of the extent to which I will need to review the skills used to simplify radicals and radical expressions; it may also uncover some misconceptions that I will need to address during the unit.

#### Resources

*expand content*

Today I use a powerpoint to launch a discussion around the Pythagorean Theorem. Most of my students have seen this important theorem before, perhaps several times. Today, as a whole class, we prove the Theorem. In this class, students have just finished a unit on measurement and dimensionality. Building on what they learned, we will decompose a given diagram and determine each area in terms of the parameters a, b, and c, using the resulting expressions to prove the Pythagorean Theorem (**MP3, MP4**).

*expand content*

#### Debrief and Notes

*10 min*

Like most lessons, I debrief the big ideas of the lesson by having students take notes in their notetakers. I circulate the room as students take notes, checking to see if students want (or need) more examples to try. In general, this part of the lesson goes smoothly, but I am prepared to provide more practice if it is necessary.

*expand content*

##### Similar Lessons

###### Introduction to Pythagorean Theorem

*Favorites(73)*

*Resources(21)*

Environment: Suburban

###### A thought is an idea in transit

*Favorites(4)*

*Resources(19)*

Environment: Urban

###### Day Four & Five

*Favorites(11)*

*Resources(8)*

Environment: Urban

- UNIT 1: Creating Classroom Culture to Develop the Math Practices
- UNIT 2: Introducing Geometry
- UNIT 3: Transformations
- UNIT 4: Discovering and Proving Angle Relationships
- UNIT 5: Constructions
- UNIT 6: Midterm Exam Review
- UNIT 7: Discovering and Proving Triangle Properties
- UNIT 8: Discovering and Proving Polygon Properties
- UNIT 9: Discovering and Proving Circles Properties
- UNIT 10: Geometric Measurement and Dimension
- UNIT 11: The Pythagorean Theorem
- UNIT 12: Triangle Similarity and Trigonometric Ratios
- UNIT 13: Final Exam Review

- LESSON 1: The Pythagorean Theorem
- LESSON 2: Converse of the Pythagorean Theorem and Special Right Triangles Investigation
- LESSON 3: Pythagorean Triples and Special Right Triangles
- LESSON 4: Distance in Geometry
- LESSON 5: The Pythagorean Theorem in Circles
- LESSON 6: Pythagorean Theorem Unit Assessment