Geometry Lesson Plans

How to teach Geometry using Mangahigh - transformations

Get your students engaged in transforming shapes using Mangahigh’s maths game ‘TranStar’. Students start by reflecting and rotating shapes in space, dynamically seeing the results of their transformations. They progress onto positive, negative and fractional scale factor enlargement puzzles as they navigate their ‘TranStar’ through the galaxy.

Lesson idea for teaching transformations

Example of blended learning lesson

55 mins
• Play through the first 4 level of ‘TranStar’ with the whole class on the whiteboard. This will introduce them to the basic principles of the game. Challenge the students to predict the outcome of each move in advance.
• Set two ‘TranStar’ activities to your class called ‘Reflections, rotations & translations - TranStar’ and ‘Introducing integer/fractional enlargements - TranStar’. Move through the class offering help where needed and challenge students to explain their choices. Use your Mangahigh analytics platform to check progress and support struggling students.
• What have they learnt about transformations? What type of questions have they seen? What would harder transformation questions look like?
• Students return to the ‘TranStar’ activities. For the most able, set an additional activity ‘Advanced composition: all types - TranStar’. Use your Mangahigh analytics platform to identify any students who have struggled with the first activity ‘Reflections, rotations & translations - TranStar’ and support them or encourage them to work with their peers.
• Draw these graphs on the board and ask the students to write down the steps of transformations needed to solve the image.

How to teach Geometry using Mangahigh - recognise regular polygons

Introduce your students to regular polygons through the use of Mangahigh’s adaptive quiz ‘Recognise regular polygons’. Students will start with ‘Easy’ questions to help introduce new ideas and then move onto ‘Medium’ questions with some scaffolded support. Students then progress onto ‘Hard’ questions that really test their understanding, and the most able will move on to ‘Extreme’ questions that will challenge even the brightest students.

Lesson idea for teaching recognising polygons

Example of blended learning lesson

55 mins
• On the whiteboard write down the factor tree for 34. Discuss which of these numbers are prime factors and why.
• Set the Mangahigh activity ‘Recognise regular polygons’. Each time students play through the activity they will answer 10 questions. Encourage students to make at least three attempts, i.e. attempt at least 30 questions. Students will receive a bronze medal award and thus demonstrate they have a secure understanding if they can prove their competency at the hard questions. The most able students might achieve a silver or gold medal by answering extreme questions. Move through the class offering help where needed and challenge students to explain their solutions. Use your Mangahigh analytics platform to check progress and support struggling students.
• Play through the activity ‘Recognise regular polygons’ from your Mangahigh teacher platform on the whiteboard with the whole class. Challenge students to explain their solutions.
• Students return to ‘Recognise regular polygons’. For the most able, set an additional activity ‘Recognise congruent shapes’. Use your Mangahigh analytics platform to identify any students who have struggled with the first activity ‘Recognise regular polygons’ and support them or encourage them to work with their peers.
• Draw an equilateral septagon on the board with one side labeled 3cm, and an equilateral octagon with one side labeled 2cm, students attempt to name the shape, show how they would work out the perimeter and then solve the perimeter.

Selection of geometry activities

Curriculum-aligned activities

• Describe 3D Shapes

Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces.

• Understand Position, Direction and Movement

Follow and give instructions involving position, direction and movement.

• Basic Angle Rules

Use angles at a right angle and use perpendicular lines. Spot right angles of any orientation on a square grid. Understand the term complementary angles. Also use the rule that angles on a straight line at a specific point sum to 180. Solve problems involving straight line angles. Understand the term supplementary angles. Also use the rule that angles at a point sum to 360. Known as a full turn.

• Recognise congruent shapes

Know the definition of congruence and say if 2 shapes are congruent, simple shapes only.

• Use Pythagoras' Theorem To Find The Hypotenuse

Use Pythagoras theorem in 2D to find the hypotenuse in a right angled triangle using the lengths of the other two sides. Understand a picture proof of the theorem. Include practical problems e.g. ladders and walls.

• The Identity tan(x) = sin(x) / cos(x)

Use the identity tanx = sinx / cosx to prove other identities or solve problems.

We’re loved by both teachers and students globally. Here’s the proof!

• Mangahigh turns our students into “maths addicts“ who compete with each other for top scores and gold medals. And since the quizzes reward both accurate recall of knowledge and deep conceptual understanding, every hour they spent having fun makes them better mathematicians. Five stars.

Tom Ding

• I have used Mangahigh in my classroom for over 5 years. What keeps me coming back are the math games and wide range of concepts that are offered. But the best part is the fact that the kids LOVE to play it. I have students beg me to assign them Teacher Challenges! Begging for more math work? I am ok with that!!

Renee Hernandez

Green Elementary School, Allen, Texas

• Kids loved it; an ADHD student who has NEVER before been able to focus in the last periods of the day; he wouldn't stop till he got a medal! Absolutely phenomenal! His mother is overjoyed, and the rest of the maths staff room were gobsmacked!

Joseph Peacock

Emanuel School, NSW