MYP3.1 Angle Rules

• Maths
• Secondary Education
• Age 12,13

Unlocking Angle Secrets

Learning Objective

At the end of the lesson, you will be able to find missing angle rules using angles around a point, angles on a straight line, and in a triangle.

Introduce the learning objective to the students. Explain that by the end of the lesson, they will have the skills to find missing angles using various rules.

What do you already know about finding missing angles?

Angles Around a Point

Angles around a point add up to 360 degrees.

Explain the concept of angles around a point to the students. Show examples of angles around a point and their sum.

Interactive Activity: Angles Around a Point

Drag and drop the angles to complete the circle. Calculate the missing angle.

Provide an interactive activity where students can practice finding missing angles around a point. Instruct them to drag and drop the angles to complete the circle and calculate the missing angle.

If two of the angles around a point are 80 degrees and 110 degrees, what is the measure of the missing angles?

1. 100 degrees
2. 170 degrees
3. 250 degrees
4. 60 degrees

If one of the angles around a point is 60 degrees, what is the sum of the other missing angles?

1. 180 degrees
2. 120 degrees
3. 300 degrees
4. 240 degrees

What is the sum of the missing angles around a point?

1. 270 degrees
2. 180 degrees
3. 360 degrees
4. 90 degrees

Angles on a Straight Line

Angles on a straight line add up to 180 degrees.

Explain the concept of angles on a straight line to the students. Show examples of angles on a straight line and their sum.

Interactive Activity: Angles on a Straight Line

Drag and drop the angles to form a straight line. Calculate the missing angle.

Provide an interactive activity where students can practice finding missing angles on a straight line. Instruct them to drag and drop the angles to form a straight line and calculate the missing angle.

Angles in a Triangle

The sum of angles in a triangle is always 180 degrees.

Explain the concept of angles in a triangle to the students. Show examples of triangles and their angle sums.

Interactive Activity: Angles in a Triangle

Drag and drop the angles to form a triangle. Calculate the missing angle.

Provide an interactive activity where students can practice finding missing angles in a triangle. Instruct them to drag and drop the angles to form a triangle and calculate the missing angle.

Combining Angle Rules

Use the angle rules you've learned to find missing angles in complex figures.

Explain to the students that they can combine the angle rules they've learned to find missing angles in more complex figures. Encourage them to apply their knowledge to solve challenging problems.

Example Problem 1

Given two angles in a figure, find the missing angle using angle rules.

Present an example problem to the students. Provide step-by-step instructions on how to find the missing angle using the angle rules they've learned.

Example Problem 2

Given three angles in a figure, find the missing angle using angle rules.

Present another example problem to the students. Provide step-by-step instructions on how to find the missing angle using the angle rules they've learned.

Practice Activity

Solve the following problems using the angle rules.

Provide a set of practice problems for the students to solve independently or in groups. Encourage them to apply the angle rules they've learned to find the missing angles.

Summary

Recap the angle rules you've learned: angles around a point, angles on a straight line, and angles in a triangle.

Summarize the key angle rules covered in the lesson. Reinforce the concept of angles around a point, angles on a straight line, and angles in a triangle.

Final Assessment

Apply your knowledge to solve the given problems. Good luck!

Administer a final assessment to evaluate the students' understanding of finding missing angles using the angle rules covered in the lesson. Encourage them to apply their knowledge to solve the given problems.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.