Objective

Today we went back to triangles, specifically right triangles. First we reviewed the types of triangles and introduced this type.

We talked about 2 special types of right triangles, just for the sake of knowing them, because until we start solving right triangles with trigonometric functions, we won’t do anything with them.

Then, we moved onto the Pythagorean theorem, which is a²+b²=c².

Finally, we learned the area of a triangle, which is 1/2 x base x height.

Procedures

In this lesson, there were three pictures of right triangles. One picture of a generic right triangle, one is of a 45-45-90 degree triangle, and the other is of a 30-60-90 degree triangle. Again, as stated above, we won’t be using these until later, but I thought I would point out the special types.

The animation was a construction of a right triangle.

And finally, there was a picture of a right triangle with its hypotenuse missing so could use the Pythagorean theorem and find its area.

Examples

Find x

Find the Area of each triangle

Homework

Here are today’s worksheets

And here is the Khan Academy lesson for today.

<sub>Answers
1. 5; 2. 15; 3. 13; 4. 17
Red. 4; Grey. 16; Blue. 36; Pink. 64</sub>

Objective

This time around, we took a step back and learned about the basics of geometry. Hopefully you know what a point, line, ray, line segment, and planes are. If you don’t, here’s a refresher.

Point has no dimensions, and two points form a line. A line plus a point for the next dimension creates a plane. A ray is a line with one endpoint, whereas a line segment has two endpoints. It was a pretty easy lesson.

Procedures

Once again, in this lesson there are several pictures for each new term introduced.

Then, the constriction for a plane, explaining why you need three points to form a plane.  This animation really helped me, so I hope  it helps you!

There wasn’t much else, because this lesson was basically just definitions. It was all still important though. Onto the examples, then!

Examples

Decide whether the statement is true or false.

1. Point J lies on Line AK.

2. Line segment DC lies on Ray EC

3. Line JC contains point E.

4. Point G and Point H are collinear

Name the points that are coplanar with the given points

1. A, B, and C

2. E, F, and B

3. E, F, and G

4. B, C, and G

Homework

Here is today’s homework.

And here is the Khan Academy video for today.

<sub>Answers
1. True; 2. True; 3. False; 4. True
1. D; 2. A; 3. H; 4. F</sub>

Lesson One is located here

Objective

This lesson’s objective is for you to be able to classify triangles by their sides and angles. You will also learn the definition of obtuse, acute, and right angles and scalene, isosceles, and equilateral triangles. After you fully understand the difference between triangles, you will also learn to find angle measures in triangles.

Procedures

To help students, there were many things in that lesson to help them understand. There were pictures of each kind of triangle. It labeled congruent sides and angles.

In addition, there was an animation showing the construction of an equilateral triangle.

Afterwards, there was a picture of a triangle with it’s angle measures, showing they all added up to 180.

After the lesson, there will always be some sample problems, they are listed below. Try them if you can!

Examples

Classify each triangle by the length of it’s sides. See bottom for answers.

Now, find the measure of each missing angle! See bottom for answers.

Homework

Today’s online assignment is here. Tell me how you do!

The Khan Academy video for today is a proof of the Triangle Sum theorem

_{Answers
Figure 1: Isosceles; Figure 2: Equilateral; Figure 3: Scalene; Figure 4: Scalene
A. 60°; B. 130°; C. 40°; D. 40°}

What other curriculum is available for easy-to-use download online? Curriculum-kits, daily-lesson-plans, and preschool-supplies.