Grade 7:
C1.1 identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing patterns on the basis of their constant rates and initial values
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
C2.3 solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions
E1.2 draw top, front and side views, as well as perspective views, of objects and physical spaces, using appropriate scales
Grade 8:
C1.1 identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing and shrinking patterns on the basis of their constant rates and initial values
C1.2 create and translate repeating, growing, and shrinking patterns involving rational numbers using various representations, including algebraic expressions and equations for linear growing and shrinking patterns
C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in growing and shrinking patterns involving rational numbers, and use algebraic representations of the pattern rules to solve for unknown values in linear growing and shrinking patterns
C2.3 solve equations that involve multiple terms, integers, and decimal numbers in various contexts, and verify solutions
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:
Evaluating Algebraic Expressions
Representing Number Patterns as Linear Relations
Solving Linear Relations Problems
Solving Simple Linear Equations
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.
All DSB1 schools were provided with the book, classroom resource kit (lesson plans and reproducibles) and DVD (videos, whiteboard lesson slides, etc.).
If you’re unsure where to locate them, please check with your principal.
These books are a great resource for developing algebraic reasoning by:
Exploring linear relationships in a visual and concrete way;
Sequencing and connecting the big ideas to support a deep understanding;
Each lesson in From Patterns to Algebra includes:
Lesson overview
3-part math lesson
Teaching tips
Differentiation opportunities
Assessment strategies
Optional lesson extensions
Examples of student thinking
Examples of teachers’ experience (stumbling blocks, insights, etc.)
Grade 7 - Coding Lesson - $ 20 or 20%? In this coding lesson using Scratch, students can create a calculator in which they can compare two different discount structures. Depending on the number of items bought, the calculator will be able to provide savings from either choosing a 20% discount, or a $ 20 discount. Students get to utilize conditions and operations blocs in this activity. (Specific Expectations: C2.2, C2.3, C3.1, F1.4, B2.1, A1)
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 Linear Patterning and Algebra:
(and tons more online…)
access create your free teacher account at teacher.desmos.com
See a brief introductory video and a support page
Some activities for this topic include:
The From Patterns to Algebra package contains assessment resources including:
Assessment strategy suggestions
Blackline masters
Culminating tasks with scoring guides
Anecdotal observation rubric
Self-assessment rubric
Math log entries scoring guide
And more...
Introductory Video
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."
You can use Google Forms to quickly document evidence of learning during your conversations with and observations of your students. This PDF includes links to several Google Forms organized by strand. You'll need to copy and modify them to include your students' names.
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.