Home › Courses › Geometry and Area: Investigate, Calculate and Design
Mathematics · Year 7 · Ready-made course
Five Year 7 Mathematics lessons on the perimeter and area of rectangles, squares and triangles, composite and irregular shapes, and converting units of area (mm², cm², m², ha, km²). Each lesson teaches through worked examples, checks understanding after each idea, uses a TEU interactive and ends with graded practice. The course finishes with a community park design challenge.
Copy it into your account, change anything you like, and share it with your class using a class code or your LMS. Free for 30 days.
Across 5 lessons: 5 interactive activities, 8 knowledge checks, 10 practice tasks, 5 reflections and 12 data tables, using 4 different TEU interactives. Every lesson opens with a real question or scenario, states its learning intention, lists its learning outcomes and checks understanding with instant feedback.
Two backyards both need exactly 20 m of fencing. One fits a trampoline and a vegetable patch; the other barely fits a bench. How can the same fence hold such different spaces?
Students learn to tell perimeter and area apart, calculate both for rectangles and squares, and work backwards to find a missing side.
1 interactive activity · 2 knowledge checks · 2 practice tasks · 1 reflection · 4 data tables
Cut a rectangular piece of paper along its diagonal. You get two identical triangles. What does that tell you about the area of each triangle?
Students learn to explain where the triangle area formula comes from and use it for any triangle.
1 interactive activity · 2 knowledge checks · 2 practice tasks · 1 reflection · 2 data tables
An L-shaped living room needs new carpet and new skirting boards. The carpet depends on the area, and the skirting depends on the perimeter. Where would you even start?
Students learn to break complicated shapes into simple ones to find their perimeter and area efficiently.
1 interactive activity · 1 knowledge check · 3 practice tasks · 1 reflection · 2 data tables
A bedroom has an area of 12 m². A student says that's 1 200 cm², because there are 100 cm in a metre. The real answer is a hundred times bigger. Why?
Students learn how units of area are related, how to convert between them, and how to choose sensible units.
1 interactive activity · 1 knowledge check · 2 practice tasks · 1 reflection · 3 data tables
Your local council has an empty block and a list of requirements. You are the designer. Can you fit everything in and prove your plan works?
Students learn to use perimeter, area and unit conversions together to solve a realistic design problem and justify our decisions.
1 interactive activity · 2 knowledge checks · 1 practice task · 1 reflection · 1 data table
Each one can also be used on its own or in your own lessons.
Every copy of a course is yours. Reorder or remove lessons, rewrite text, swap questions and add your own interactives, images and video. Students join with a class code (no student accounts needed) or from Canvas, Moodle, Schoolbox or Brightspace, and you see each student's answers and progress as they work.
Five evidence-led Year 7 History lessons: how we know about human origins, the deep histories and continuing cultures of First Nations Australians, innovation and adaptation in deep time,…
Five Year 7 lessons that build from what makes an ecosystem to food chains and food webs, then apply them to a real Western Australian case of environmental change, the 2010–11 Shark Bay…
This page describes a course in The Education Universe library. Teaching it with a class needs a TEU licence or the free trial. Lessons are updated from time to time.