| Curricular Competency |
Understand and appreciate the complexities of digital citizenship |
New Media 12 |
Comprehend and connect (reading, listening, viewing) |
|
| Big Ideas |
Through explorations of spatial relationships, we can develop a geometrical appreciation of the world around us. |
Foundations of Mathematics 12 |
No CCG |
| Keyword: explorations |
Elaboration: Sample questions to support inquiry with students:What can we construct using a straightedge and compass?What properties change and stay the same when we vary a square, parallelogram, triangle, and so on?How are circles, ellipses, parabolas, and hyperbolas related?Where are conics found in the world around us?How does nature exhibit fractal properties?What patterns do we see in fractals? |
|
| Big Ideas |
Mathematical analysis informs financial decisions. |
Foundations of Mathematics 12 |
No CCG |
| Keyword: decisions |
Elaboration: Sample questions to support inquiry with students:How do we make decisions regarding our financial options?What are the repercussions of our financial decisions (e.g., in the short term versus the long term)?What factors influence our willingness to take financial risks? |
|
| Big Ideas |
Modelling data requires an understanding of a variety of functions. |
Foundations of Mathematics 12 |
No CCG |
| Keyword: Modelling |
Elaboration: Sample questions to support inquiry with students:How do we know what type of regression best models a given set of data?What factors would affect the reliability of a regression analysis?What are the limitations associated with regression models? |
|
| Big Ideas |
Probabilistic thinking informs decision making in situations involving chance and uncertainty. |
Foundations of Mathematics 12 |
No CCG |
| Keyword: Probabilistic thinking |
Elaboration: Sample questions to support inquiry with students:How do we make decisions involving probabilities?How reliable is a test that is 98% accurate?What is the difference between reliability and accuracy?What information is needed when considering the likelihood of an event? |
|
| Content |
financial planning |
Foundations of Mathematics 12 |
No CCG |
| Keyword: financial planning |
Elaboration: developing a personal financial portfoliomortgagesriskchanging interest rates and/or paymentscredit cardsexploring banking options and financial markets |
|
| Content |
odds, probability, and expected value |
Foundations of Mathematics 12 |
No CCG |
| Keyword: odds, probability |
Elaboration: mutually exclusive, non–mutually exclusive, conditional probability, binomial probabilityVenn diagrams |
|
| Content |
combinatorics |
Foundations of Mathematics 12 |
No CCG |
| Keyword: combinatorics |
Elaboration: permutations, combinations, pathways, Pascal’s Triangle |
|
| Content |
regression analysis |
Foundations of Mathematics 12 |
No CCG |
| Keyword: regression analysis |
Elaboration: polynomial, exponential, sinusoidal, logarithmicapplying the appropriate regression model |
|
| Content |
graphical representations of polynomial, logarithmic, exponential, and sinusoidal functions |
Foundations of Mathematics 12 |
No CCG |
| Keyword: representations |
Elaboration: using technology onlyusing characteristics of a graph to identify these functions |
|
| Content |
geometric explorations:- constructions
- conics
- fractals
|
Foundations of Mathematics 12 |
No CCG |
| Keyword: constructions |
Elaboration: perpendicular bisector, tangents, polygons, tessellations, geometric art |
| Keyword: conics |
Elaboration: locus definition and constructions, conic sections, applications |
| Keyword: fractals |
Elaboration: understanding fractals as an iteration of a simple instructionconstructing and analyzing models of fractals, such as Cantor’s dust, Serpinski’s triangle, Koch’s snowflakeconnecting fractals with nature |
|
| Curricular Competency |
Incorporate First Peoples worldviews, perspectives, knowledge, and practices to make connections with mathematical concepts |
Foundations of Mathematics 12 |
Connecting and reflecting |
| Keyword: Incorporate |
Elaboration: by:collaborating with Elders and knowledge keepers among local First Peoplesexploring the First Peoples Principles of Learning (http://www.fnesc.ca/wp/wp-content/uploads/2015/09/PUB-LFP-POSTER-Princi…; e.g., Learning is holistic, reflexive, reflective, experiential, and relational [focused on connectedness, on reciprocal relationships, and a sense of place]; Learning involves patience and time)making explicit connections with learning mathematicsexploring cultural practices and knowledge of local First Peoples and identifying mathematical connections |
| Keyword: knowledge |
Elaboration: local knowledge and cultural practices that are appropriate to share and that are non-appropriated |
| Keyword: practices |
Elaboration: Bishop’s cultural practices: counting, measuring, locating, designing, playing, explaining (http://www.csus.edu/indiv/o/oreyd/ACP.htm_files/abishop.htm)Aboriginal Education Resources (www.aboriginaleducation.ca)Teaching Mathematics in a First Nations Context, FNESC (http://www.fnesc.ca/resources/math-first-peoples/) |
|
| Curricular Competency |
Use mistakes as opportunities to advance learning |
Foundations of Mathematics 12 |
Connecting and reflecting |
| Keyword: mistakes |
Elaboration: range from calculation errors to misconceptions |
| Keyword: opportunities to advance learning |
Elaboration: by:analyzing errors to discover misunderstandingsmaking adjustments in further attemptsidentifying not only mistakes but also parts of a solution that are correct |
|
| Curricular Competency |
Connect mathematical concepts with each other, other areas, and personal interests |
Foundations of Mathematics 12 |
Connecting and reflecting |
| Keyword: Connect mathematical concepts |
Elaboration: to develop a sense of how mathematics helps us understand ourselves and the world around us (e.g., daily activities, local and traditional practices, popular media and news events, social justice, cross-curricular integration) |
|
| Curricular Competency |
Reflect on mathematical thinking |
Foundations of Mathematics 12 |
Connecting and reflecting |
| Keyword: Reflect |
Elaboration: share the mathematical thinking of self and others, including evaluating strategies and solutions, extending, posing new problems and questions |
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