Grade 8 Social Studies

Big Ideas

• Exploration, expansion and colonization had varying consequences for different groups.

Content         

• Exploration, expansion, and colonization
  • The Americas
• Scientific and technological innovations
  • Arab world, Ibn Battuta, Islamic Golden Age (e.g., the diffusion of arts and mathematics
  • European (Portuguese, Spanish, British) navigation tools and locations
  • Cartography and navigation

Competencies

• Use social studies inquiry processes and skills to ask questions; gather, interpret, and analyze ideas; and communicate findings and decisions
  • Demonstrate an ability to interpret scales and legends in graphs, tables, and maps (e.g., climograph, topographical map, pie chart)
• Identify what the creators of accounts, narratives, maps, or texts have determined is significant
  • Create a timeline of key events during this period and rank which are the most significant

Grade 9 Social Studies

Big Ideas

• Emerging ideas and ideologies influence societies and events.

Content

• Political, social, economic and technological revolutions
  • Advances in science and technology

Competencies

Use social studies inquiry processes and skills to:

• Ask questions
• gather, interpret and analyze ideas
• Communicate findings and decisions
• Identify and clarify a problem or issue
• Interpret information and data from maps, graphs and tables
• Construct graphs, tables and maps to communicate ideas and information

Grade 8 Math

Big Ideas

• A number represents, describes and compares the quantities of ratios, rates and percents.
• Computational fluency and flexibility extend to operations with fractions.

Content

• Two-step equations with integer coefficients, constants, and solutions
  • Solving and verifying 3x – 4 = –12
• Pythagorean theorem
  • Find a missing side of a right triangle

Competencies

• Estimate reasonably
  • Use referents, approximation and rounding strategies
  • Think creatively and with curiosity and wonder when exploring problems
• Develop and apply mathematical understanding through play, inquiry and problem solving
• Explain and justify mathematical ideas and decisions
  • Use mathematical arguments

Grade 9 Math

Big Ideas

• The principles and processes underlying operations with numbers apply equally to algebra.
• Analyzing the validity, reliability and representation of data enables us to compare and interpret.

Content

• Operations with rational numbers
  • Addition
  • Subtraction
  • multiplication, division
  • order of operations
• Multi-step one-variable linear equations
  • Solving and verifying 1 + 2x = 3 – 2/3(x + 6)

Competencies

• Use reasoning and logic to explore, analyze and apply mathematical ideas
  • Make connections using
    • inductive and deductive reasoning,
    • predicting, generalizing,
    • drawing conclusions through experiences
• Estimate reasonably
  • Use referents, approximation and rounding strategies
• Apply multiple strategies to solve problems
  • Includes familiar, personal, and from other cultures
• Explain and justify mathematical ideas and decisions
  • Use mathematical arguments to support personal choices
  • Anticipate consequences

Grade 11 Math

Big Ideas

• Logical reasoning helps us discover and describe mathematical truths.

Content

• Forms of mathematical reasoning
  • Logic, conjecturing, inductive and deductive thinking, proofs, game/puzzle analysis, counter-examples
• Angle relationships
  • Properties, proofs, parallel lines, triangles and other polygons, angle constructions

Competencies

• Model with mathematics in situational contexts
  • Including real-life scenarios and open-ended challenges that connect mathematics with everyday life
• Develop and apply mathematical understanding through play, story, inquiry
  • Includes structured, guided, and open inquiry
  • Determine what is needed to make sense of and solve problems
• Reflect on mathematical thinking
  • Share the mathematical thinking of self and others, including evaluating strategies and solutions, extending, posing new problems and questions

Grade 12 Math

Big Ideas

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

Content

• Geometric explorations: constructions
  • Perpendicular bisector
  • Tangents
  • Polygons
  • Tessellations
  • Geometric art

Competencies

• Explore, analyze and apply mathematical ideas using reason, technology and other tools
  • Graphing technology
  • Dynamic geometry
  • Calculators
  • Virtual manipulatives
  • Concept-based apps
• Model with mathematics in situational contexts
  • Use math concepts and tools to solve problems and make decisions 
  • Including real-life scenarios and open-ended challenges that connect math with everyday life
• Develop and apply conceptual understanding of mathematical ideas through play, story, inquiry
  • Includes structured, guided, and open inquiry
• Determe what is needed to solve problems