Embedded Files
content
content
Curriculum
Curriculum
Grade 7:
E2.4 construct circles when given the radius, diameter, or circumference
B1.6 round decimal numbers to the nearest tenth, hundredth, or whole number, as applicable, in various contexts
C2.2 evaluate algebraic expressions that involve whole numbers and decimal numbers
C2.3 solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions
E2.3 use the relationships between the radius, diameter, and circumference of a circle to explain the formula for finding the circumference and to solve related problems
E2.5 show the relationships between the radius, diameter, and area of a circle, and use these relationships to develop the formula for measuring the area of a circle and to solve related problems
C1.2 create and translate repeating, growing, and shrinking patterns involving whole numbers and decimal numbers using various representations, including algebraic expressions and equations for linear growing patterns
C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns involving whole numbers and decimal numbers, and use algebraic representations of the pattern rules to solve for unknown values in linear growing patterns
Knowledgehook's Math Background, Misconception Charts and Gap Closing Resources
Knowledgehook's Math Background, Misconception Charts and Gap Closing Resources
These resources are available in your Knowledgehook account. They are also linked in this Google Doc. However, you must be logged into your browser or app with your DSB1 account to access this file.
Knowledgehook's math background charts explore the big ideas in detail and address best practices and tips for remediation. Their misconceptions charts include tips for understanding, preventing, and/or remediating common learning gaps, misconceptions, and errors for this topic. The Remediation questions can be assigned to students in order to assess individual students' specific remediation needs.
Topics for this unit:
Circumference and Area of Circles
Evaluating Algebraic Expressions
Perimeter and Area of Composite Shapes
Representing Number Patterns as Linear Relations
Solving Simple Linear Equations
Grade 7 & 8 Knowledgehook Support ChartsMarian Small's Gap Closing
Marian Small's Gap Closing
Gap Closing resources are designed for students who need additional support in mathematics. For each topic in the resource, there is a diagnostic and a set of intervention materials. Diagnostics are designed to uncover the typical problems students have with a specific topic.
Pedagogy
Pedagogy
Sample Lesson
Sample Lesson
Explore the relationship between circumference and diameter with a Desmos lesson that explores the value of π using Indigenous Ways of Knowing. This lesson was created by Dr. Lisa Lunney Borden and addresses E2.3 and E2.4. The video below showcases the lesson by Erin Buchmann (Indigenous Coach) and Dana McBride (Gr 7-12 Math Learning Coach). You’ll learn about sharing Indigenous Ways of Knowing pi and hear several excellent ideas for making connections beyond the math classroom.
Connections to Real-Life Contexts with 3-Act Math Tasks
Connections to Real-Life Contexts with 3-Act Math Tasks
3-Act math tasks are a great way to weave together proportional reasoning and mathematical modelling. Visit the Mathematical Modelling page on this site for lots of 3-act math task resources.
3-Act Tasks Involving Circles and Linear Patterning and Algebra:
(and tons more online…)
Visual Lesson Approaches to Support Student Understanding
Visual Lesson Approaches to Support Student Understanding
Online simulations that power inquiry and understanding
"This website was created to assist in building a better conceptual understanding of mathematics through the use of visuals. The images, videos and resources shared here are intended to help all teachers, parents and students understand that Math Is Visual and we should take every opportunity to teach it that way."
Kyle Pearce's blog post on maximizing the effectiveness of these resources
Assessment Ideas
Assessment Ideas
Introductory Video
Knowledgehook
Knowledgehook
Knowledgehook is an Instructional Guidance System (IGS) that uses engaging assessments to unlock insights and expert guidance for math teachers.
Create assessments from question banks aligned with the new 2020 Ontario Mathematics Curriculum
Assign work as "Game Shows" (class-wide activity similar to Kahoot) or as self-paced "Missions"
Reports and built-in individualized gap closing materials activities support teachers in remediation efforts
Parental portal allows parents to view their child's progress and send encouraging messages
DSB1 premium upgrade (You must be logged into Google with your DSB1 account to see this document.)
Teacher Essentials support document
Use ongoing, progressive rubrics (provided below) to record student progress based on triangulated data, like observations and conversations.
sample template for Reasoning & Proving Rubric
Rubrics for each of the new overall expectations
Here's a great blog post by Damian Cooper called What is “Triangulation” in the Assessment Context? which will help support our understanding of how we can assess as we move towards giving students messier and more real problems where the process of problem-solving is valued in addition to "the right answer."
Documenting Conversations & Observations - Tracking Sheets.pdf
Use Showbie to create Problem-Solving Portfolios where students can work on problems with increasing complexity as they master the concepts and monitor their progress.
Technology
Technology
Virtual Manipulatives
Virtual Manipulatives
Colour Tiles App
Colour Tiles App
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