Mathematical Competencies

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 

Content

• real number system

• polynomial factoring

• quadratic functions and equations

• linear and quadratic inequalities

• powers with rational exponents

• radical operations, functions and equations

• absolute value functions and equations

• rational expressions and equations

• trigonometry: non-right triangles and angles in standard position