Unit Plan: Circumference, Area and Volume
Math / Grade 7
The constant ratio between the circumference and diameter of circles can be used to describe, measure and compare spatial relationships.
- Space (spatial awareness)
- Cause and effect
Students will keep considering…
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.
Teacher will monitor progress:
Teachers can monitor progress through ongoing formative assessment including but not limited to:
How will teachers and their students reflect on and evaluate the completed project?
- 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.
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: Assessing for Knowledge and Skills
Students will show they have acquired Stage 1 knowledge and skills by:
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.
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
The knowledge, skills and processes we associate with intellectual development
The set of abilities that relate to students’ identity in the world, both as individuals and as members of their community and society
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.