G6 math curriculum

Grade 6 Math: Big Ideas

• Mixed numbers and decimal numbers represent quantities that can be decomposed into parts and wholes
• Computational fluency and flexibility with numbers extend to operations with whole numbers and decimals
• Linear relations can be identified and represented with variables and line graphs and can be used to form generalizations
• Properties of objects and shapes can be described, measured and compared using volume, area, perimeter and angles
• Data from the results of an experiment can be used to predict the theoretical probability of an event and to compare and interpret

Grade 6 Math: Curricular Competencies

Reasoning and Analyzing

• Use logic and patterns to solve puzzles and play games
• Use reasoning and logic to explore, analyze and apply mathematical ideas
• Estimate reasonably
• Demonstrate and apply mental math strategies
• Use tools or technology to explore and create patterns and relationships and text conjectures
• Model mathematics in contextualized experiences

Understanding and Solving

• Apply multiple strategies to solve problems in both abstract and contextualized situations
• Develop, demonstrate and apply mathematical understanding through play, inquiry and problem-solving
• Visualize to explore mathematical concepts
• 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

Communicating and Representing

• Use mathematical vocabulary and language to contribute to mathematical discussions
• Explain and justify mathematical ideas and decisions
• Communicate mathematical thinking in many ways
• Represent mathematical ideas in concrete, pictorial and symbolic forms

Connecting and Reflecting

• Reflect on mathematical thinking
• Connect mathematical concepts to each other and to other areas of personal interest
• Use mathematical arguments to support personal choices
• Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

Grade 6 Math: Content

Students are expected to know the following:

• Small to large numbers
• Multiplication and division facts to 100
• Order of operations with whole numbers
• Factors and multiples - greatest common factor and least common multiple
• Improper fractions and mixed numbers
• Introduction to ratios
• Whole-number percents and percentage discounts
• Multiplication and division of decimals
• Increasing and decreasing patterns using expressions, tables and graphs as functional relationships
• One-step equations with whole number coefficients and solutions
• Perimeter of complex shapes
• Area of triangles, parallelograms and trapezoids
• Angle measurement and classification
• Volume and capacity
• Trianges
• Combinations of transformation
• Line graphs
• Single-outcome probability, both theoretical and experimental
• Financial literacy - simple budgeting and consumer math

Core Competencies

From the BC curriculum: https://curriculum.gov.bc.ca/competencies

The core competencies in the new BC curriculum are sets of intellectual, personal, social and emotional proficiencies that all students need to develop in order to engage in deep and life-long learning. The three core competencies are: communication, thinking and personal and social. Core competencies are evident in every area of learning, however, they manifest themselves uniquely in each discipline. Students practice these competencies daily as they are an integral part of the learning in all curriculum areas.

Communication: The set of abilities that students use to impart and exchange information, experiences and ideas, to explore the work around them and to understand and effectively engage in the use of digital media.

Thinking (creative and critical): The knowledge, skills and processes associated with intellectual development. It is through their competency as thinkers that students take subject-specific concepts and content and transform them into a new understanding. Thinking competence includes specific thinking skills as well as habits of mind and metacognitive awareness.

Personal and social: The set of abilities that relate to students’ identity in the work, both as individuals and as members of their community and society. Personal and social competency encompasses the abilities students need to thrive as individuals, to understand and care about themselves and others and to find and achieve their purposes in the world.

Grade 6: BC Math Curriculum