High School Math BC Learning Standards

Content Learning Standards

Curricular Competencies

Big Ideas

Algebra allows us to generalize relationships through abstract thinking.

The meanings of, and connections between, each operation extend to powers and polynomials.

Constant rate of change is an essential attribute of linear relations and has meaning in different representations and contexts.

Trigonometry involves using proportional reasoning to solve indirect measurement problems.

Representing and analyzing situations allows us to notice and wonder about relationships.

operations on powers with integral exponents

financial literacy: gross and net pay

prime factorization

functions and relations: connecting data, graphs, and situations

linear functions: slope and equations of lines

arithmetic sequences

systems of linear equations

multiplication of polynomial expressions

polynomial factoring

primary trigonometric ratios

Develop thinking strategies to solve puzzles and play games

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

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

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 world views, perspectives, knowledge, and practices to make connections with mathematical concepts

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

Develop, demonstrate, and apply mathematical understanding 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

Content

Curricular Competencies

operations on powers with integral exponents

financial literacy: gross and net pay

prime factorization

functions and relations: connecting data, graphs, and situations

linear functions: slope and equations of lines

arithmetic sequences

systems of linear equations

multiplication of polynomial expressions

polynomial factoring

primary trigonometric ratios

Reasoning and modelling

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 mathematical understanding 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 Learning Standards

Curricular Competencies

Big Ideas

Proportional reasoning is used to make sense of multiplicative relationships.

3D objects can be examined mathematically by measuring directly and indirectly length, surface area, and volume.

Flexibility with number builds meaning, understanding, and confidence.

Representing and analyzing data allows us to notice and wonder about relationships.

create, interpret, and critique graphs

primary trigonometric ratios

metric and imperial measurement and conversions

surface area and volume

central tendency

experimental probability

financial literacy: gross and net pay.

Develop thinking strategies to solve puzzles and play games

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

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

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 world views, perspectives, knowledge, and practices to make connections with mathematical concepts

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

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

Content Learning Standards

Curricular Competencies

Big Ideas

Decomposition helps us solve difficult problems by managing complexity.

Algorithms are essential in solving problems computationally.

Programming is a tool that allows us to implement computational thinking.

Solving problems is a creative process.

ways to represent basic data types

ways to model mathematical problems

basic programming concepts

variable scope

ways to construct and evaluate logical statements

use of control flow to manipulate program execution

development of algorithms to solve problems in multiple ways

techniques for operations on and searching of arrays and lists

problem decomposition through modularity

uses of computing for financial analysis

Develop flexible thinking to analyze and create algorithms

Explain and justify mathematical ideas and decisions in many ways

Represent computer science ideas in concrete, pictorial, symbolic, and pseudocode forms

Use computer science and mathematical vocabulary and language to contribute to discussions in the classroom

Take risks when offering ideas in classroom discourse

Reflect on mathematical and computational thinking

Connect mathematical and computer science 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 computer science concepts

Explore, analyze, and apply mathematical ideas and computer science concepts using reason, technology, and other tools

Model with mathematics in situational contexts

Think creatively and with curiosity and wonder when exploring problems

Develop, demonstrate, and apply conceptual understanding through experimentation, inquiry, and problem solving

Visualize to explore and illustrate computer science 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

Content

Curricular Competencies

Content Learning Standards

Curricular Competencies

Big Ideas

Similar shapes and objects have proportional relationships that can be described, measured, and compared.

Optimization informs the decision-making process in situations involving extreme values.

Logical reasoning helps us discover and describe mathematical truths.

Statistical analysis allows us to notice, wonder about, and answer questions about variation.

forms of mathematical reasoning

financial literacy: compound interest, investments and loans

angle relationships

graphical analysis: linear inequalities, quadratic functions, systems of equations, optimization

applications of statistics

scale models

Develop thinking strategies to solve puzzles and play games

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

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

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 world views, perspectives, knowledge, and practices to make connections with mathematical concepts

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

Develop, demonstrate, and apply mathematical understanding 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

forms of mathematical reasoning

angle relationships

graphical analysis:- linear inequalities - quadratic functions - systems of equations - optimization

applications of statistics

scale models

financial literacy: compound interest, investments and loans

Reasoning and modelling

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 mathematical understanding 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 Learning Standards

Curricular Competencies

Big Ideas

Mathematics has developed over many centuries and continues to evolve.

Mathematics is a global language used to understand the world.

Societal needs across cultures have influenced the development of mathematics.

Tools and technology are catalysts for mathematical development.

Notable mathematicians in history nurtured a sense of play and curiosity that led to the development of many areas in mathematics.

number and number systems:written and oral numbers, zero, rational and irrational numbers, pi, prime numbers

patterns and algebra: early algebraic thinking, variables, early uses of algebra, Cartesian plane, notation, Fibonacci sequence

geometry: of lines, angles, triangles, Euclid's five postulates, geometric constructions, developments through time

probability and statistics: Pascal's triangle, games involving probability, early beginnings of statistics and probability

tools and technology: development over time, from clay tablets to modern-day calculators and computers

cryptography: use of ciphers, encryption, and decryption throughout history, modern uses of cryptography in war and digital applications

Develop thinking strategies to solve historical puzzles and play games

Explain and justify mathematical ideas and decisions in many ways

Use historical symbolic representations to explore mathematics

Use mathematical vocabulary and language to contribute to discussions in the classroom

Take risks when offering ideas in classroom discourse

Reflect on mathematical thinking

Connect mathematical concepts with each other, with other areas, and with personal interests

Reflect on the consequences of mathematics culturally, socially, and politically

Use mistakes as opportunities to advance learning

Incorporate First Peoples worldviews, perspectives, knowledge, and practices to make connections with mathematical concepts

Explore, analyze, and apply historical mathematical ideas using reason, technology, and other tools

Think creatively and with curiosity and wonder when exploring problems

Critique multiple strategies used to solve mathematical problems throughout history

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 and cultural practices, including local First Peoples

Content Learning Standards

Curricular Competencies

Big Ideas

Algebra allows us to generalize relationships through abstract thinking.

The meanings of, and connections between, operations extend to powers, radicals, and polynomials.

Quadratic relationships are prevalent in the world around us.

Trigonometry involves using proportional reasoning to solve indirect measurement problems.

real number system

powers with rational exponents

radical operations and equations

polynomial factoring

rational expressions and equations

quadratic functions and equations

linear and quadratic inequalities

trigonometry: non-right triangles and angles in standard position

financial literacy: compound interest, investments, loans

Develop thinking strategies to solve puzzles and play games

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

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

Reflect on mathematical thinking

Connect mathematical concepts with each other, with other areas, and with personal interests

Use mistakes as opportunities to advance learning

Incorporate First Peoples world views, perspectives, knowledge, and practices to make connections with mathematical concepts

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

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

Content

Curricular Competencies

real number system

powers with rational exponents

radical operations and equations

polynomial factoring

rational expressions and equations

quadratic functions and equations

linear and quadratic inequalities

trigonometry: non-right triangles and angles in standard position

financial literacy: compound interest, investments, loans

Reasoning and modelling

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, with other areas, and with personal interests

Use mistakes as opportunities to advance learning

Incorporate First Peoples worldviews, perspectives, knowledge, and practices to make connections with mathematical concepts

Content Learning Standards

Curricular Competencies

Big Ideas

Proportional reasoning is used to make sense of multiplicative relationships.

Mathematics informs financial decision making.

3D objects are often represented and described in 2D space.

Flexibility with number builds meaning, understanding, and confidence.

Representing and analyzing data allows us to notice and wonder about relationships.

financial literacy: personal investments, loans, and budgeting

rate of change

how probability and statistics are used in different contexts

interpreting graphs in society

3D objects: angles, views, and scale diagrams

Develop thinking strategies to solve puzzles and play games

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

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

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 world views, perspectives, knowledge, and practices to make connections with mathematical concepts

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

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

Content Learning Standards

Curricular Competencies

Big Ideas

Design involves investigating, planning, creating, and evaluating.

Constructing 3D objects often requires a 2D plan.

Transferring mathematical skills between problems requires conceptual understanding and flexible thinking.

Proportional reasoning is used to make sense of multiplicative relationships.

Choosing a tool based on required precision and accuracy is important when measuring.

measuring: using tools with graduated scales; conversions using metric and imperial

similar triangles: including right-angle trigonometry

2D and 3D shapes: including area, surface area, volume, and nets

3D objects and their views (isometric drawing, orthographic projection)

mathematics in the workplace

financial literacy: business investments and loans

Develop thinking strategies to solve puzzles and play games

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

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

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

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

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

Content

Curricular Competencies

Content Learning Standards

Curricular Competencies

Big Ideas

The concept of a limit is foundational to calculus.

Differential calculus develops the concept of instantaneous rate of change.

Integral calculus develops the concept of determining a product involving a continuously changing quantity over an interval.

Derivatives and integrals are inversely related.

functions and graphs

limits: left and right limits, limits to infinity, continuity

differentiation: rate of change, differentiation rules, higher order, implicit, applications

integration: approximations, fundamental theorem of calculus, methods of integration, applications

Develop thinking strategies to solve puzzles and play games

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

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

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 world views, perspectives, knowledge, and practices to make connections with computer science concepts

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

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

functions and graphs

limits: - left and right limits - limits to infinity - continuity

differentiation: - rate of change - differentiation rules - higher order, implicit - applications

integration: - approximations - fundamental theorem of calculus - methods of integration - applications

Reasoning and modelling

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 computer science concepts

Content Learning Standards

Curricular Competencies

Big Ideas

Decomposition and abstraction help us to solve difficult problems by managing complexity.

Algorithms are essential in solving problems computationally.

Programming is a tool that allows us to implement computational thinking.

Solving problems is a creative process.

Data representation allows us to understand and solve problems efficiently.

access variables in memory

ways in which data structures are organized in memory

uses of multidimensional arrays

classical algorithms, including sorting and searching

use of Big-O notation to help predict run-time performance

recursive problem solving

persistent memory

encapsulation of data

ways to model mathematical problems

Develop fluent, flexible, and strategic thinking to analyze and create algorithms

access variables in memory

ways in which data structures are organized in memory

uses of multidimensional arrays

classical algorithms, including sorting and searching

use of Big-O notation to help predict run-time performance

recursive problem solving

persistent memory

encapsulation of data

ways to model mathematical problems

Explore, analyze, and apply mathematical ideas and computer science concepts using reason, technology, and other tools

Model with mathematics in situational contexts

Think creatively and with curiosity and wonder when exploring problems

Develop, demonstrate, and apply conceptual understanding through experimentation, inquiry, and problem solving

Visualize to explore and illustrate computer science 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

Content

Curricular Competencies

Content Learning Standards

Curricular Competencies

Big Ideas

Probabilistic thinking informs decision making in situations involving chance and uncertainty.

Modelling data requires an understanding of a variety of functions.

Mathematical analysis informs financial decisions.

Through explorations of spatial relationships, we can develop a geometrical appreciation of the world around us.

geometric explorations: constructions, conics, fractals

graphical representations of polynomial, logarithmic, exponential, and sinusoidal functions

regression analysis

combinatorics

odds, probability, and expected value

financial planning

Develop thinking strategies to solve puzzles and play games

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

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

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

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

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

geometric explorations:-  constructions - conics- fractals

graphical representations of polynomial, logarithmic, exponential, and sinusoidal functions

regression analysis

combinatorics

odds, probability, and expected value

financial planning

Reasoning and modelling

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

Curricular Competencies

geometric constructions

parallel and perpendicular lines: circles as tools in constructions, perpendicular bisector

circle geometry

constructing tangents

transformations of 2D shapes: isometries, non-isometric transformations

non-Euclidean geometries

Reasoning and modelling

Develop thinking strategies to solve puzzles and play games

Engage in spatial reasoning in a dynamic environment

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 geometric 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, justify, and evaluate geometric ideas and decisions in many ways

Represent mathematical ideas in concrete, pictorial, and symbolic forms

Use geometric vocabulary and language to contribute to discussions in the classroom

Take risks when offering ideas in classroom discourse

Connecting and reflecting

Reflect on geometric 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

Big Ideas

Diagrams are fundamental to investigating, communicating, and discovering properties and relations in geometry

Finding invariance amidst variation drives geometric investigation

Geometry involves creating, testing, and refining definitions

The proving process begins with conjecturing, looking for counter-examples, and refining the conjecture, and the process may end with a written proof

Geometry stories and applications vary across cultures and time

Content Learning Standards

Curricular Competencies

Big Ideas

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.

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

Develop thinking strategies to solve puzzles and play games

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

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

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 world views, perspectives, knowledge, and practices to make connections with mathematical concepts

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

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

Content

Curricular Competencies

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

Reasoning and modelling

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

Curricular Competencies

role of statistical thinking in research and the scientific method

observational and experimental studies

common graphical representations of variation

use of summary statistics to describe variation

association between two variables

probability models for variation

intuition and appreciation of inferential concepts, such as confidence intervals and hypothesis tests

use of software and technology to enhance statistical ideas

communication of statistical findings

Reasoning and modelling

Develop thinking strategies to solve puzzles and play games

Explore, analyze, and apply statistical ideas using reason, technology, and other tools

Estimate reasonably and demonstrate fluent, flexible, and strategic thinking about number

Model with statistics in situational contexts

Think creatively and with curiosity and wonder when exploring problems

Understanding and solving

Develop, demonstrate, and apply conceptual understanding of statistical ideas through play, story, inquiry, and research

Visualize to explore and illustrate variation within and between variables

Apply flexible and strategic approaches to explore statistical questions in abstract and situational contexts

Explore research questions with persistence and a positive disposition

Engage in statistical thinking to answer questions 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 statistical ideas and decisions in many ways

Represent statistical ideas in concrete, pictorial, and symbolic forms

Use statistical vocabulary and language to contribute to discussions in the classroom

Take risks when offering ideas in classroom discourse

Connecting and reflecting

Reflect on statistical thinking

Connect statistical 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 statistical concepts

Content Learning Standards

Curricular Competencies

Big Ideas

Statistics plays an integral role in research, decision making, and policy in society.

The research question and practical and ethical issues determine whether a statistical study should be observational or experimental.

Statistical analysis allows us to explore, describe, model, and explain variation.

We can develop statistical thinking to help make inferences intuitive.

Statistical findings gain value through effective communication.

role of statistical thinking in research and the scientific method

observational and experimental studies

common graphical representations of variation

use of summary statistics to describe variation

association between two variables

probability models for variation

intuition and appreciation of inferential concepts, such as confidence intervals and hypothesis tests

use of software and technology to enhance statistical ideas

communication of statistical findings

Develop thinking strategies to solve puzzles and play games

Engage in statistical thinking to answer questions connected with place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Explain and justify statistical ideas and decisions in many ways

Represent statistical ideas in concrete, pictorial, and symbolic forms

Use statistical vocabulary and language to contribute to discussions in the classroom

Take risks when offering ideas in classroom discourse

Reflect on statistical thinking

Connect statistical 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 statistical concepts

Explore, analyze, and apply statistical ideas using reason, technology, and other tools

Estimate reasonably and demonstrate fluent, flexible, and strategic thinking about number

Model with statistics in situational contexts

Think creatively and with curiosity and wonder when exploring problems

Develop, demonstrate, and apply conceptual understanding of statistical ideas through play, story, inquiry, and research

Visualize to explore and illustrate variation within and between variables

Apply flexible and strategic approaches to explore statistical questions in abstract and situational contexts

Explore research questions with persistence and a positive disposition

Reasoning and analyzing

Understanding and solving

Communicating and representing

Connecting and reflecting

Big Ideas

Curricular Competencies

Content

operations with rational numbers (addition, subtraction, multiplication, division, and order of operations)

Reflect on mathematical thinking

Use mathematical vocabulary and language to contribute to mathematical discussions

Apply multiple strategies to solve problems in both abstract and contextualized situations

Use logic and patterns to solve puzzles and play games

The principles and processes underlying operations with numbers apply equally to algebraic situations and can be described and analyzed.

exponents and exponent laws with whole-number exponents

Connect mathematical concepts to each other and to other areas and personal interests

Explain and justify mathematical ideas and decisions

Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Use reasoning and logic to explore, analyze, and apply mathematical ideas

Computational fluency and flexibility with numbers extend to operations with rational numbers.

operations with polynomials, of degree less than or equal to 2

Use mathematical arguments to support personal choices

Communicate mathematical thinking in many ways

Visualize to explore mathematical concepts

Estimate reasonably

Continuous linear relationships can be identified and represented in many connected ways to identify regularities and make generalizations.

two-variable linear relations, using graphing, interpolation, and extrapolation

Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

Represent mathematical ideas in concrete, pictorial, and symbolic forms

Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Demonstrate and apply mental math strategies

multi-step one-variable linear equations

Use tools or technology to explore and create patterns and relationships, and test conjectures

Similar shapes have proportional relationships that can be described, measured, and compared.

spatial proportional reasoning

Model mathematics in contextualized experiences

Analyzing data by determining averages is one way to make sense of large data sets and enables us to compare and interpret.

statistics in society

financial literacy - simple budgets and transactions