High School Block:

Mathematics Connections

Mathematics Connections 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 Connections is designed to foster 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 numeracy continuum, with the essential support of 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 once they have acquired sufficient skills to enter appropriate prescribed mathematics courses, the program may also serve learners who, due to age limitations, will need to pursue alternate pathways.

Some learners will enter Mathematics Connections after acquiring basic numeracy skills through Mathematics Essentials. Others will join Mathematics Connections as their first New Brunswick course in Mathematics. Mathematics Essentials is a credit course in the Flexible Credit Hours cluster, while Mathematics Connections is a credit course in the Mathematics cluster.

Mathematics Connections 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 Connections, 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
  • Determining appropriate units of measure
  • Familiarizing with abstract ways of thinking

Processes

  • Using fingers and manipulatives
  • Standard measurement
  • Creating graphs

Fluency

  • Computation skills and representations of numbers
  • Automaticity (with foundational facts)
  • Conversion between formats, representations, and equivalents of numbers
  • Ways to present information/data

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
  • Decimal notation
  • Equations
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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:

  • Identify patterns that repeat
  • Determine if sets are equal or unequal in amount
  • Predict elements or extend repeating patterns
  • Place benchmarks of zero, five, 10, 20, 50, 100 … 1 000
  • Explain the place value of each digit of given numbers
  • Extend given increasing and decreasing patterns
  • Extend patterns found in tables and charts
  • Order numbers, decimals, and mixed sets of fractions
  • Match equivalent fractions and decimals
  • Extend number lines to compare and order integers
  • Determine all factors of given perfect squares
  • Determine the square roots of given perfect squares
  • Determine the squares of given numbers
  • Record percentages in decimal and fractional forms and vice-versa

Skill Descriptor: Describe fractions.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Represent fractions greater than one concretely or pictorially
  • Order sets of fractions using patterns, benchmarks, numerators, and denominators

Skill Descriptor: Describe percentage, ratio, and rate.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Represent percent concretely or pictorially
  • Express percentages in decimal and fractional forms and vice-versa
  • Apply rounding to solutions

Big Idea: Operations

Skill Descriptor: Demonstrate fluency in addition and subtraction with flexibility, efficiency and accuracy to solve problems

Global Competencies: CM, CTPS

Achievement Indicators:

  • Solve addition and subtraction problems

Skill Descriptor: Demonstrate fluency in multiplication and division facts with flexibility, efficiency and accuracy to solve problems

Global Competencies: CM, CTPS

Achievement Indicators:

  • Solve multiplication and division problems

Skill Descriptor: Add, subtract, multiply, and divide decimals to solve problems (1-digit whole number multipliers and 1-digit natural number divisors).

Global Competencies: CM, CTPS, SASM

Achievement Indicators:

  • Add, subtract, multiply, and divide decimals
  • Solve problems including money and measurement

Skill Descriptor: Add, subtract, multiply, and divide fractions and mixed numbers to solve problems (limited to positive sums and differences).

Global Competencies: CM, CTPS

Achievement Indicators:

  • Express improper fractions as mixed numbers and vice-versa
  • Multiply and divide positive fractions by whole numbers
  • Add, subtract, multiply, and divide fractions and mixed numbers
  • Simplify fractions and mixed numbers

Skill Descriptor: Add and subtract positive and negative integers to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Add and subtract integers to solve problems involving temperature and money

Skill Descriptor: Multiply and divide integers to solve problems (2-digit by 1-digit).

Global Competencies: CM, CTPS

Achievement Indicators:

  • Multiply and divide integers
  • Solve division of integers problems (2-digit by 2-digit) with the use of technology

Skill Descriptor: Apply the order of operations (including whole numbers, integers, positive fractions, and decimals).

Global Competencies: CM, CTPS

Achievement Indicators:

  • Apply the order of operations to solve multi-step problems with and without technology
  • Apply combinations of operations and number forms to solve problems

Strand: Statistics and Probability

Big Idea: Data Analysis

Skill Descriptor: Collect data.

Global Competencies: CL, CM, CTPS

Achievement Indicators:

  • Create questions to answer, record results, and draw conclusions
  • Design and administer questionnaires for collecting data and recording results

Skill Descriptor: Justify elements and compare graphs to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Create tables of values from patterns
  • Create tables of values from graphs
  • Create and label graphs from tables of values or sets of data (limited to linear graphs with discrete elements)

Skill Descriptor: Use tables of values and compare graphs to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Create tables of values using substitution for variables
  • Create graphs of linear relations from tables of values (limited to discrete elements)

Skill Descriptor: Identify points and transformations in the four quadrants of the Cartesian Plane using integral ordered pairs.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Label the axes of the four quadrants of the Cartesian Plane and identify the origin
  • Plot points in the four quadrants of the Cartesian Plane given integral ordered pairs

Strand: Shape and Space

Big Idea: Measurement

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

Global Competencies: CM, CTPS

Achievement Indicators:

  • Identify personal referents for one centimetre, one metre, one square centimetre, one square metre, one gram, one kilogram, one millimetre, one kilometre, one millilitre, one litre
  • Match standard units to referents

Skill Descriptor: Describe angles.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Measure angles in various orientations
  • Create and label angles in various orientations using a protractor

Skill Descriptor: Apply formulae to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Apply the formulae for area of rectangles and area of triangles

Skill Descriptor: Apply properties of circles to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Demonstrate diameter is twice the radius in circles
  • Demonstrate circumference is approximately three times the diameter in circles
  • Demonstrate the sum of central angles of circles is 360°

Skill Descriptor: Apply the Pythagorean Theorem to solve problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Represent the Pythagorean Theorem concretely, pictorially, symbolically, or using technology
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