High School Block:

Mathematics Essentials

Mathematics Essentials is designed to address the unique needs of students who have limited or interrupted formal education (SLIFE). This curriculum honours the diverse range of prior knowledge(s), skills, and experiences that SLIFE have, while connecting through targeted instruction to numeracy skills that they have not yet been provided the opportunity to learn. Mathematics Essentials is designed to foster English language development while acquiring numeracy skills in a transitional sheltered context that is intentionally connected to learners’ personal needs. Learners will progress through essential components of the Mathematics continuum, with flexibility in course duration and modes of instruction. As the course is designed to consider specific linguistic goals alongside numeracy skills, learners will benefit from intentional instruction in academic strategies, including the abstract nature of mathematics. While the primary design is for learners to exit the course once they have acquired sufficient skills to enter appropriate prescribed mathematics courses, this course may also serve learners who, due to age limitations, will need to pursue alternate pathways.

Learners are expected to enrol in Mathematics Connections after gaining experience in Mathematics Essentials. Mathematics Essentials is a credit course in the Flexible Credit Hours cluster, while Mathematics Connections is a credit course in the Mathematics cluster.

Mathematics Essentials provides opportunities to develop mathematics skills across the continuum of learning, including opportunities to build English proficiency and academic skills as well as to become familiar with abstract ways of thinking. Developed mathematics skills and New Brunswick Global Competencies will lead to increased success in future mathematics courses, post-secondary, work ready, and life contexts. In Mathematics Essentials, mathematics instruction and assessment are differentiated to the experiences of individual learners including linguistic scaffolds.

For Educators:

➔ PL Hub: Mathematics

CONTEXTS AND CONCEPTS

Strategies

  • Familiarizing with and discussing procedures and strategies
  • Determining when to use and developing mental procedures and strategies
  • Familiarizing with abstract ways of thinking

Processes

  • Using fingers and manipulatives
  • Standard measurement
  • Creating graphs

Fluency

  • Computation skills and representations of numbers

Communication

  • Linguistic scaffolding
  • Using visual references (e.g., hands-on, tangible objects when possible; colour photographs when possible)
  • Representing mathematics concretely, pictorially, symbolically
  • Saying number names in a variety of languages
  • Using home and community languages that are contextually meaningful
  • Becoming familiar with math vocabulary, math symbols and math models
  • Numeral writing
  • Using mathematical vocabulary
  • Using mathematical symbols
  • Standard notation
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GRADE 9-12

Strand: Number

Big Idea: Number Sense

Skill Descriptor: Describe numbers, ways of representing numbers, relationships among numbers, and number systems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Name numerals
  • Recite a range of number names within the counting sequence
  • Skip count by twos, fives, and 10s starting at zero
  • Identify even and odd numbers in sequences
  • Represent place value of numbers concretely
  • Order sets of numbers in ascending and descending order
  • Sort sets of numbers by even and odd
  • Represent numbers and place value to 100

Skill Descriptor: Describe fractions.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Compare unit fractions
  • Represent equivalent fractions concretely and pictorially
  • Represent fractions less than one concretely and pictorially
  • Represent fractions of a set or whole
  • Record fractions represented by the shaded and non-shaded parts of regions, sets, and wholes

Skill Descriptor: Describe decimals (tenths, hundredths).

Global Competencies: CM, CTPS, SASM

Achievement Indicators:

  • Represent equivalent fractions and decimals
  • Represent money values using decimals
  • Record decimals for parts of a set, parts of a region, and parts of units of measure
  • Record fractions as decimals and vice-versa

Big Idea: Operations

Skill Descriptor: Apply foundational and derived addition and subtraction facts with flexibility, efficiency, and accuracy to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Represent addition and subtraction in numbers to 10
  • Represent addition and subtraction derived facts with answers to 20 concretely and pictorially
  • Represent addition and subtraction in numbers to 100 concretely and pictorially
  • Record addition and subtraction symbolically

Skill Descriptor: Apply foundational and derived multiplication and division facts with flexibility, efficiency and accuracy to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Represent multiplication and division concretely, pictorially, or symbolically
  • Apply foundational and derived multiplication and division facts
  • Apply the commutative property
  • Apply the distributive property

Strand: Statistics and Probability

Big Idea: Data Analysis

Skill Descriptor: Collect first-hand and second-hand data.

Global Competencies: CL, CM, CTPS, SASM

Achievement Indicators:

  • Create questions that can be answered by gathering information about self and others, first-hand, and second-hand data
  • Organize collected data
  • Answer questions using collected data, line plots, charts, and lists

Skill Descriptor: Explore graphs to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Compare graphs of displayed data to determine common attributes
  • Label title and axes of graphs

Skill Descriptor: Create graphs to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Identify mathematical relationships using charts and diagrams
  • Compare graphs where different intervals or correspondences are used

Skill Descriptor: Interpret graphs to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Compare graphs to determine their attributes
  • Create graphs representing sets of data that include title, axes, intervals, and legend
  • Create graphs with and without the use of technology

Strand: Patterns and Relations

Big Idea: Algebra

Skill Descriptor: Solve one-step equations.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Identify unknowns in problems
  • Represent problems as equations
  • Record equations where the unknown is represented by a letter variable
  • Solve single-variable equations with the unknown in any of the terms

Strand: Shape and Space

Big Idea: Measurement

Skill Descriptor: Relate life to measurements of time.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Describe time as a sequence of events using language like first, next, yesterday, today, tomorrow, longer, shorter, before, after, next, a long time ago
  • Order days of the week
  • Order months of the year
  • Read dates on calendars
  • Explain time in relation to cycles (daily routine, nature, seasons, culture, etc.)
  • Express significant events using calendar dates
  • Measure time using standard and non-standard units
  • Express time orally and numerically from a 12-hour analog and digital clock
  • Express time using formats as appropriate to contexts (e.g., 14 h 00; 14:00)

Skill Descriptor: Estimate and measure using personal referents and measurement tools.

Global Competencies: CM, CTPS, SASM

Achievement Indicators:

  • Measure and record length and width of 2D shapes
  • Measure and record length, width, and height of concrete 3D objects
  • Measure and record the perimeter of regular and irregular 2D shapes and concrete 3D objects
  • Measure and record area of regular and irregular 2D shapes
  • Create line segments using rulers
  • Explain the relationship between place value and standard units of measure
  • Measure and record mass of concrete 3D objects
  • Measure and record volume of liquid
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