Introduction to the Pythagorean Theorem (Shefchik)

Learning Target: I can find the measures of the sides of a right triangle using the Pythagorean Theorem and square roots.

Pythagorean Theorem Intro

Open Ended

What do you notice? What do you wonder?

Draw

Highlight the HYPOTENUSE on the right triangle below.

Draw

Highlight the LEGS on the right triangle below.

Multiple Choice

The Pythagorean Theorem only works with _____ triangles.

• Acute

• Right

• Obtuse

• Three-Sided

Multiple Choice

How do I find the value of x?

$$x^2=24$$

• Divide 24 by 2

• Divide 24 by 4

• Multiply 24 by itself

• Find the square root of 24

Draw

Class Example

Draw

Show your work:

Multiple Choice

Missing Hypotenuse:

Which equation could be used to solve for x?

• $$15^2+20^2=x^2$$

• $$15^2+x^2=20^2$$

• $$20^2-15^2=x^2$$

• $$x^2+20^2=15^2$$

Drag and Drop

Missing Hypotenuse:



What is x?

Placeholder

Drag these tiles and drop them in the correct blank above

25

19.4

5

24

​Turn and Talk

Multiple Choice

Missing Leg:

Which equation could be used to solve for x?

• $$9^2+15^2=x^2$$

• $$9^2+x^2=15^2$$

• $$15^2+x^2=9^2$$

• $$81^2+x^2=225^2$$

Draw

Now solve for x.

Multiple Choice

Find the length of x.

• 12.7 ft

• 17 ft

• 49 ft

• 289 ft

Drag and Drop

This triangle ​ ​

Placeholder

a right triangle.

Drag these tiles and drop them in the correct blank above

is not

is

Drag and Drop

This triangle ​ ​

Placeholder

a right triangle.

Drag these tiles and drop them in the correct blank above

is

is not

Poll

Learning Target: I can find the measures of the sides of a right triangle using the Pythagorean Theorem and square roots.

• 1

• 2

• 3

• 4

• 5