This student was able to find dozens of triangles with an area of 4 square units using patterns on the geo-board. There are many activities you can try to consolidate your knowledge of area. Try IXL Maths practise, compare area and perimeter of two figures or Mathletics and Rainforest maths. Maths 300 is also an excellent resource for learning about the area of triangles. Click on the green triangle on the desktop of the computers in the pod or the lab to connect to Maths 300 activities.
Using grid paper, create triangles of fixed base and height length (for example, 5cm base and 4cm perpendicular height). Cut out these shapes and try to form squares or rectangles with them, so you can easily calculate the area. You will find that the height of the rectangle formed with the pieces of the triangle is half the height of the original triangle. So, the area of a triangle is equal to half x base x height.
Go to Technomaths to complete the student survey about your Maths learning in Semester 1. I have decided to use another blog for maths posts to keep current work closer to the top of the page. So make sure you bookmark the Technomaths website for future use.
Year 6/7 classes have enjoyed having a student teacher, Zac Doherty, over the past couple of weeks. Zac is a past student doing his Graduate Diploma of Education teaching practicum rounds. Students have learnt about measuring length and perimeter and now we are starting to look at area of squares, rectangles, triangles and composite shapes.
Here is a link to the Learning Federation interactive “Area of triangles“, which shows why we use the formula “the area of a triangle is equal to half the base multiplied by the height”.
This HOTmaths activity is also a great way to learn about area and perimeter. The HOTmaths site has several free activities and links to investigations (in pdf format) suitable for middle years students.
This a simple site for learning more about area and perimeter. Maths Playground has a good explanation of perimeter versus area and some interactive activities for students to learn more.
By the end of this unit of work you should be able to do the following:
- Identify, name, measure and draw six different types of angles (acute, right, obtuse, straight, reflex and revolutions)
- Identify, name, measure and draw six types of triangles (acute, right, obtuse, equilateral, isoceles and scalene)
- Identify and name six different quarilaterals (square, rectangle, rhombus, parallelogram, trapezium and kite)
- Identify and draw perpendicular and parallel lines
- Identify and calculate vertically opposite, alternate, corresponding, complementary, supplementary and co-interior angles.
- Calculate missing angles in triangles and quadrilaterals.
- Accurately draw regular polygons and calculate angles in regular polygons.
Each of the following activities matches with specific learning outcomes.
Acute and Obtuse angles – Guess the random angle
Measuring Angles – What’s my Angle?
Naming and measuring angles – Kidport Measuring Angles
Vertically opposite, corresponding and alternate angles – Exploring relationships of Angles
Types of triangles – sort into Venn diagrams – Sorting Triangles
Angles in a triangle add to 180 degrees – Exploring Angles: Resize a triangle
Calculate angles using opposite, complementary and supplementary angles – Exploring triangles.
Go to Voicethread and add your voice or text comments about triangles.
Properties of Quadrilaterals from BBC KS3 Bitesize
Shape sorter – Exploring Quadrilaterals Sort shapes based on lines of symmetry – Symmetry Sort
More Exploring Quadrilaterals
Check out this new tool, Blabberize, where you can upload a photo or image and make it talk, using a recording of your own voice. How do you think we could use it in Maths and Science classes?
Farm shed at Churchill Island, off Phillip Island, Victoria, Australia.
In term 2, Year 6/7 students will be starting a unit on Angles. Why is it important to learn how to identify, measure, draw and name angles? You can see in the picture above that angles are all around us in the built environment. Here are just some of the jobs where knowing about angles is necessary: Architect, Builder, Carpenter, Cartographer, Engineer, Fashion Designer, Graphic Designer, Landscape Gardener, Pattern-maker, Pilot, Surveyor and Welder. Sportspeople, such as golfers, soccer players and snooker players also use angles. Perhaps you can think of some others? Please add them to the comment space below.
Over the next few weeks your class will be working in three groups, rotating through diferent activities. One group will be working on Rotograms, another group will be using their netbooks to explore some ICT tasks and the third group will be doing teacher-led activites with me. You will need a protractor, a ruler and a compass for this unit of work. If you are in the ICT group you can choose from the following activites: The Year 7 Maths and Science wiki has links to sites where you can learn more about angles. If you go to the FUSE site and search for the resource package 4J2LK7, you will find some more interactive games and learning tasks to use on your netbooks. BBC KS3 Bitesize has Revision pages, an activity and a test about angles. For each of the sites you visit, you should write a short review of how helpful the activity was for your learning.
- What did you learn?
- Was the activity easy or challenging?
- Would you recommend the site for other students wanting to learn about angles?
- How would you rate the site out of 10? (where 10/10 is awesome!)