Using inverses is the foundation of solving equations and can be extended to relationships between functions.
Understanding the characteristics of families of functions allows us to model and understand relationships and to build connections between classes of functions.
Transformations of shapes extend to functions and relations in all of their representations.
Reasoning and Analyzing
Develop thinking strategies to solve puzzles and play games
Explore, analyze, and apply mathematical ideas using reason, technology, and other tools
Estimate reasonably and demonstrate fluent, flexible, and strategic thinking about number
Model with mathematics in situational contexts
Think creatively and with curiosity and wonder when exploring problems
Understanding and Solving
Develop, demonstrate, and apply conceptual understanding of mathematical ideas through play, story, inquiry, and problem solving
Visualize to explore and illustrate mathematical concepts and relationships
Apply flexible and strategic approaches to solve problems
Solve problems with persistence and a positive disposition
Engage in problem-solving experiences connected with place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures
Communicating and Representing
Explain and justify mathematical ideas and decisions in many ways
Represent mathematical ideas in concrete, pictorial, and symbolic forms
Use mathematical vocabulary and language to contribute to discussions in the classroom
Take risks when offering ideas in classroom discourse
Connecting and Reflecting
Reflect on mathematical thinking
Connect mathematical concepts with each other, other areas, and personal interests
Use mistakes as opportunities to advance learning
Incorporate First Peoples worldviews, perspectives, knowledge, and practices to make connections with mathematical concepts
transformations of functions and relations
exponential functions and equations
geometric sequences and series
logarithms: operations, functions, and equations
polynomial functions and equations
rational functions
trigonometry: functions, equations, and identities