Page 28 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

other languages and/or digital and multimodal resources. Teachers recognize and value the variety of representations that students use, as each student may have different prior access to and experiences with mathematics. While encouraging student engagement and affirming the validity of
their representations, teachers support students in reflecting on the appropriateness of their representations and refining them. Teachers support students as they make connections among various representations that are relevant to both the student and the audience they are communicating with, so that all students can develop a deeper understanding of mathematical concepts and relationships. All students are supported in using the different representations appropriately and as needed to model situations, solve problems, and communicate their thinking.
Selecting Tools and Strategies
Students develop the ability to select appropriate tools, technology, and strategies to perform particular mathematical tasks, to investigate mathematical ideas, and to solve problems.
Tools. All students should be encouraged to select and use tools to illustrate mathematical ideas. Students come to understand that making their own representations is a powerful means of building understanding and of explaining their thinking to others. Using tools supports students as they:
• identify patterns and relationships;
• make connections between mathematical concepts and between concrete and abstract
representations;
• test, revise, and confirm their reasoning;
• remember how they solved a problem;
• communicate their reasoning to others, including by gesturing.
Technology. A wide range of technological and digital tools can be used in many contexts for students to interact with as they learn and extend concepts, and do mathematics.
Students can use:
• computers, calculators, probes, and computer algebra systems to perform complex operations; create graphs; and collect, organize, and display data;
• digital tools, apps, and social media to investigate mathematical concepts and develop an understanding of mathematical relationships;
• statistical software to manipulate, analyse, represent, sort, and communicate real-life data sets of all sizes;
• coding software to better understand the structures and relationships of mathematics;
• dynamic geometry software and online geometry tools to develop spatial sense;
• computer programs to represent and simulate mathematical situations (i.e., mathematical
modelling);
• communications technologies to support and communicate their thinking and learning;
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