SS5.1
Design and construct different rectangles given either perimeter or area, or both (whole numbers), and draw conclusions.

[C, CN, PS, V]

Indicators for this outcome
(a)

Construct (concretely or pictorially) and record the dimensions of two or more rectangles with a specified perimeter and select, with justification, the dimensions that would be most appropriate in a particular situation (e.g., a rectangle is to have a perimeter of 18 units, what are the dimensions of the possible rectangles, which rectangle would be most appropriate if the rectangle is to be the base of a shoe box or a dog pen).

(b)

Critique the statement "A rectangle with dimensions of 1 cm by 8 cm is different from a rectangle with dimensions of 8 cm by 1 cm". (Note: Any dimensions could be used to demonstrate the idea of orientation and point of view.)

(c)

Construct (concretely or pictorially) and record the dimensions of as many rectangles as possible with a specified area and select, with justification, the rectangle that would be most appropriate in a particular situation (e.g., a rectangle is to have an area of 24 units², what are the dimensions of the possible rectangles, which rectangle would be most appropriate if the rectangle is to fence off the largest garden possible or be the base of a box on a shelf that is 10 units by 8 units).

(d)

Critique the statement: "A rectangle with dimensions of 3 cm by 4 cm is different from a rectangle with dimensions of 2 cm by 5 cm". (Note: Any dimensions with the same perimeter could be used to demonstrate the idea of same perimeter not necessarily resulting in the same area or shape of the rectangle).

(e)

Generalize patterns discovered through the exploration of the areas of rectangles with the same perimeter and through the exploration of the perimeters of rectangles with the same area (e.g., greater areas do not imply greater perimeters and vice versa, the rectangle for a situation closest to a square will have the greatest area, or the rectangle with the smallest width for a given perimeter will have the smallest area).

(f)

Identify situations relevant to self, family, or community where the solution to problems would require the consideration of both area and perimeter, and solve the problems.

Loading...
R002372
Math Pre-Assessment 5: Finding Each Student's Pathway
This professional resource provides educators with pre-assess tools to identify gaps in their students’ mathematical understanding. Assessment tools are available for each of the mathematical strands. This resource may be used to target individual student supports for informed intervention. The resource includes an access code to the publisher’s Online Teaching Centre.
Media and Formats : Book
Price : $299.95
Record posted/updated: July 2, 2021
R011452
Math in Science
This book from the series The Amazing World of Math explores how mathematics relates to many scientific discoveries and inventions and how we see the world around us. Measuring the Earth, calculating time and using different number systems are some of the topics included in this book.
Media and Formats : Book
Price : $34.60
Record posted/updated: July 2, 2021
R012380
Open Questions for Rich Math Lessons. Grades 4-6 (WNCP)
The resources in this series provide a range of open questions that cover the various parts of a problem-solving lesson. These questions may be used to discuss math concepts, to provide practice for concepts and skills, to create extra challenges for students or to act as models for developing your own open questions. Each book in the series focuses on a specific strand: Number, Patterns and Relations/Statistics and Probability and Shape and Space.
•  Open Questions for Rich Math Lessons. Grades 4-6, Number Strand
•  Open Questions for Rich Math Lessons. Grades 4-6, Patterns and Relations, Statistics and Probability
•  Open Questions for Rich Math Lessons. Grades 4-6, Shape and Space
Media and Formats : Book
Price : $54.95 ea.
Record posted/updated: February 10, 2020
R012349
MathUP Classroom Grades K-8 (National Edition)
MathUP Classroom is an online tool for teachers and students designed to build mathematics content knowledge while providing connections to improve understanding and to meet the needs of all students. Components for teachers include: topic overviews, teaching, assessment and differentiation ideas and curriculum correlations. Resources for students include: lessons on strand-based topics, Number Talks, Brain Benders, Wonder Tasks, Cross-strand Tasks and digital puzzles, games and supporting activities. The Ontario Edition topics that originally formed the basis for the online materials in the National Edition have been replaced or will be replaced in the future with topics that meet WNCP requirements.
(More information)
Media and Formats : Website
Price : Contact the publisher for licensing options and prices.
canadiancontent
Record posted/updated: February 7, 2023
R011628
Math in Art and Sports
This book from the series The Amazing World of Math explores how numbers, angles and shapes are found everywhere in art and sports. The rules of composition and dimension in visual art, rhythm in poetry and music, and angles in basketball and golf are some of the topics included in this book.
Media and Formats : Book
Price : $34.60
Record posted/updated: July 2, 2021
R044342
Elementary and Middle School Mathematics: Teaching Developmentally (5th Canadian ed.)
This professional resource offers suggestions to teach concepts and procedures specific to mathematics in grades K-8 students. There are suggestion to differentiate instruction for English Language Learners, advanced learners, and learners with difficulties. The resource references real experiences and assessment practices to address the foundations of how children learn. This edition focuses on mathematical inquiry through rich tasks and classroom discourse. There is a companion website listed for blackline masters, activities, additional tools and expanded lessons.
(More information)
Media and Formats : Book
Price : See publisher.
Record posted/updated: May 18, 2022