Unit Plan: Circumference, Area and Volume

Math / Grade 7

Big Ideas

The constant ratio between the circumference and diameter of circles can be used to describe, measure and compare spatial relationships.


  • Relationship
  • Space (spatial awareness)
  • Cause and effect

Essential Questions

Students will keep considering…

  • N/A

Evaluative Criteria

Teachers should consider how summative assessments should be based on clear criteria and include a variety of ways for students to show demonstrate their learning.

  • N/A

Monitoring Progress

Teacher will monitor progress:

Teachers can monitor progress through ongoing formative assessment including but not limited to:

  • N/A

  • N/A


How will teachers and their students reflect on and evaluate the completed project?

Teacher Reflection

  • What aspects of the unit went well
  • What did students struggle with
  • What did you struggle with?
  • What would you add/revise the next time you taught this unit?
  • Were there any unintended outcomes?
  • Were students engaged?

Stage 2 – Evidence

Authentic Performance Tasks

AUTHENTIC PERFORMANCE TASK: Assessing for Understanding
Students will be able to demonstrate their understanding by:

PERFORMANCE TASKS RATIONALE:  All of the following activities require students to be actively engaged in the learning task.  Students will assume roles, argue opinions, share anecdotes, challenge classmates, debate issues, consume products, analyze human behavior, create authentic metrics, and make recommendations.  For some students these activities will come easily.  For others, teacher encouragement will be needed.  Teachers will pay close attention to creating a safe atmosphere in the class for students to express personal opinions.   They will also encourage all students to take risks with their learning when debating, role playing, or playing simulation games using curriculum material that is new to them.

> Click here to learn more about Performance Tasks


What is a GRASPS task?


  • Which sized pizza boxes are needed for small, medium and large pizzas?
  • Which pizza restaurants have the best buy? Most pizza for the cost?

Goal – comparing areas of different sized circles and connecting to the volume of a rectangular prism

Role – Owner of a Pizzeria

Audience – yourself and your customers

Situation – You own a small pizzeria and have limited storage space.  You need to purchase pizza boxes for the various sizes of pizza that you make.  These boxes need to take up the least amount of space in your shop.  You will need to calculate the area and circumference of your various pizzas, to determine which volume of pizza boxes would be most effective for this purpose. 

Product – create physical models or drawings that show the circumference and area of your various pizzas, as well as the volume of the associated pizza boxes

Differentiation – provide formula sheets as necessary, make physical models to reinforce understanding, providing scaffolding templates as needed

Indigenous connections: FNESC Math Unit on Surface Area and Volume of Bentwood Boxes.

Other Evidence

OTHER EVIDENCE: Assessing for Knowledge and Skills

Students will show they have acquired Stage 1 knowledge and skills by:

  • N/A

The following resources are made available through the British Columbia Ministry of Education. For more information, please visit BC’s New Curriculum.


Big Ideas

The Big Ideas consist of generalizations and principles and the key concepts important in an area of learning. The Big Ideas represent what students will understand at the completion of the curriculum for their grade. They are intended to endure beyond a single grade and contribute to future understanding.

Visit the Ministry of Education for more information

Core Competencies

orangecommunicationCommunications Competency

The set of abilities that students use to impart and exchange information, experiences and ideas, to explore the world around them, and to understand and effectively engage in the use of digital media

bluethinkingThinking Competency

The knowledge, skills and processes we associate with intellectual development

greensocialSocial Competency

The set of abilities that relate to students’ identity in the world, both as individuals and as members of their community and society

Visit the Ministry of Education for more information

Curricular Competencies & Content

Curricular Competencies are the skills, strategies, and processes that students develop over time. They reflect the “Do” in the Know-Do-Understand model of curriculum. The Curricular Competencies are built on the thinking, communicating, and personal and social competencies relevant to disciplines that make up an area of learning.

Visit the Ministry of Education for more information

Additional Resources

First People's Principles of Learning

To read more about First People’s Principles of Learning, please click here.

For classroom resources, please visit the First Nations Education Steering Committee.