Unit 1: Number and operation
9 Weeks
Learner Profile Attributes:
Key Concept:
Related Concept(s):
- Quantity
- Representation
- Simplification
Global Context:
- Orientation in Space and Time
Statement of Inquiry:
Representing and simplifying quantities in different forms can help explore discoveries and developments.
Summative Assessment Criteria:
ATLs (Skills):
- T – Make connections between subject groups and disciplines
- C – Make inferences and draw conclusions
Curriculum Standards:
- B1.1 Rational and Irrational Numbers represent and compare very large and very small numbers, including through the use of scientific notation, and describe various ways they are used in everyday life.
- B1.2 Rational and Irrational Numbers describe, compare, and order numbers in the real number system (rational and irrational numbers), separately and in combination, in various contexts.
- B1.3 Rational and Irrational Numbers estimate and calculate square roots, in various contexts.
- B1.4 Fractions, Decimals, and Percents use fractions, decimal numbers, and percents, including percents of more than 100% or less than 1%, interchangeably and flexibly to solve a variety of problems.
- B2.1 Properties and Relationships use the properties and order of operations, and the relationships between operations, to solve problems involving rational numbers, ratios, rates, and percents, including those requiring multiple steps or multiple operations.
- B2.2 Math Facts understand and recall commonly used square numbers and their square roots.
- B2.3 Mental Math use mental math strategies to multiply and divide whole numbers and decimal numbers up to thousandths by powers of ten, and explain the strategies used.
- B2.4 Addition and Subtraction add and subtract integers, using appropriate strategies, in various contexts.
- B2.5 Addition and Subtraction add and subtract fractions, using appropriate strategies, in various contexts.
- B2.6 Multiplication and Division multiply and divide fractions by fractions, as well as by whole numbers and mixed numbers, in various contexts.
- B2.7 Multiplication and Division multiply and divide integers, using appropriate strategies, in various contexts.
- B2.8 Multiplication and Division compare proportional situations and determine unknown values in proportional situations, and apply proportional reasoning to solve problems in various contexts.
Unit 2: Patterns & equations
9 Weeks
Learner Profile Attributes:
Key Concept:
Related Concept(s):
- Change
- Models
- Representations
Global Context:
- Globalisation and Sustainability
Statement of Inquiry:
Representing patterns of change as relationships can help determine the impact of human decision-making on the environment.
Summative Assessment Criteria:
- Criterion B
- Criterion C
- Criterion D
ATLs (Skills):
- T – Identify trends and forecast possibilities
- R – Locate, organize, analyze, synthesize, and ethically use information from a variety of courses and media (including digital social media and online networks)
Curriculum Standards:
- C1.1 Patterns identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing and shrinking patterns on the basis of their constant rates and initial values.
- C1.2 Patterns create and translate repeating, growing, and shrinking patterns involving rational numbers using various representations, including algebraic expressions and equations for linear growing and shrinking patterns.
- C1.3 Patterns determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in growing and shrinking patterns involving rational numbers, and use algebraic representations of the pattern rules to solve for unknown values in linear growing and shrinking patterns.
- C1.4 Patterns create and describe patterns to illustrate relationships among rational numbers.
- C2.1 Variables and Expressions add and subtract monomials with a degree of 1, and add binomials with a degree of 1 that involve integers, using tools.
- C2.2 Variables and Expressions evaluate algebraic expressions that involve rational numbers.
- C2.3 Equalities and Inequalities solve equations that involve multiple terms, integers, and decimal numbers in various contexts, and verify solutions.
- C2.4 Equalities and Inequalities solve inequalities that involve integers, and verify and graph the solutions.
- C3.1 Coding Skills solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves the analysis of data in order to inform and communicate decisions.
- C3.2 Coding Skills read and alter existing code involving the analysis of data in order to inform and communicate decisions, and describe how changes to the code affect the outcomes and the efficiency of the code.
Unit 3: Geometry and Measurement
Duration: 9 Weeks
Learner Profile Attributes:
Key Concept:
Related Concept(s):
Global Context:
- Personal and Cultural Expression
Statement of Inquiry: Artistry and creativity are enhanced through an understanding of how measurement helps to define forms.
Summative Assessment Criteria:
ATLs (Skills):
- T – Design improvements to existing machines, media, and technologies
- T – Make connections between subject groups and disciplines
Curriculum Standards:
- E1.1 Geometric Reasoning: Create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry.
- E1.2 Geometric Reasoning: Construct three-dimensional objects when given their top, front, and side views.
- E1.3 Location and Movement: Plot and read coordinates in all four quadrants of a Cartesian plane, and describe the translations that move a point from one coordinate to another.
- E1.4 Location and Movement: Describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations.
- E2.1 The Metric System: Measure length, area, mass, and capacity using the appropriate metric units, and solve problems that require converting smaller units to larger ones and vice versa.
- E2.2 Angles: Use a protractor to measure and construct angles up to 360°, and state the relationship between angles that are measured clockwise and those that are measured counterclockwise.
- E2.3 Angles: Use the properties of supplementary angles, complementary angles, opposite angles, and interior and exterior angles to solve for unknown angle measures.
- E2.4 Area and Surface Area: Determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas.
- E2.5 Area and Surface Area: Create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas.
- E2.6 Area and Surface Area: Determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together.
Unit 4: Data Management
7 Weeks
Learner Profile Attributes:
Key Concept:
Related Concept(s):
- Representation
- Justification
Global Context:
- Identities and Relationships
Statement of Inquiry: Being able to represent relationships effectively can help justify characteristics and trends in communities.
Summative Assessment Criteria:
ATLs (Skills):
- R – Communicate information and ideas effectively to multiple audiences using a variety of media and formats
- T – Identify trends and forecast possibilities
Curriculum Standards:
- D1.1 Data Collection and Organization: Describe the difference between discrete and continuous data, and provide examples of each.
- D1.2 Data Collection and Organization: Collect qualitative data and discrete and continuous quantitative data to answer questions of interest about a population, and organize the sets of data as appropriate, including using intervals.
- D1.3 Data Visualization: Select from among a variety of graphs, including histograms and broken-line graphs, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs.
- D1.4 Data Visualization: Create an infographic about a data set, representing the data in appropriate ways, including in tables, histograms, and broken-line graphs, and incorporating any other relevant information that helps to tell a story about the data.
- D1.5 Data Analysis: Determine the range as a measure of spread and the measures of central tendency for various data sets, and use this information to compare two or more data sets.
- D1.6 Data Analysis: Analyze different sets of data presented in various ways, including in histograms and broken-line graphs and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions.
- D2.1 Probability solve various problems that involve probability, using appropriate tools and strategies, including Venn and tree diagrams
- D2.2 Probability determine and compare the theoretical and experimental probabilities of multiple independent events happening and of multiple dependent events happening