## Unit 1: Number and operation

**Duration**

11 Weeks

**Learner Profile Attributes**

- Knowledgeable.
- Thinkers

**Key Concept**

- Form

**Related Concept(s)**

- Representation Systems

**Global Context**

- Orientation in Space and Time

**Statement of Inquiry**

Different systems and forms of representation develop as civilisations evolve and humans interact.

**Summative Assessment Criteria**

- Criterion A
- Criterion B

**ATLs (Skills)**

- S – Listen actively to other perspectives and ideas
- SM – Plan short and long term assignments; meet deadlines

**Curriculum Standards**

- B1.1 Rational Numbers read and represent whole numbers up to and including one million, using appropriate tools and strategies, and describe various ways they are used in everyday life.
- B1.2 Rational Numbers read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines.
- B1.3 Rational Numbers compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts.
- B1.4 Fractions, Decimals, and Percents read, represent, compare, and order decimal numbers up to thousandths, in various contexts.
- B1.5 Fractions, Decimals, and Percents round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts.
- B1.6 Fractions, Decimals, and Percents describe relationships and show equivalences among fractions and decimal numbers up to thousandths, using appropriate tools and drawings, in various contexts.
- B2.1 Properties and Relationships use the properties of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and whole number percents, including those requiring multiple steps or multiple operations.
- B2.2 Math Facts understand the divisibility rules and use them to determine whether numbers are divisible by 2, 3, 4,5, 6, 8,9, and 10.
- B2.3 Mental Math use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used.
- B2.4 Addition and Subtraction represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms.
- B2.5 Addition and Subtraction add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts.
- B2.6 Multiplication and Division represent composite numbers as a product of their prime factors, including through the use of factor trees.
- B2.7 Multiplication and Division represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms.
- B2.8 Multiplication and Division represent and solve problems involving the division of three-digit whole numbers by decimal tenths, using appropriate tools, strategies, and algorithms, and expressing remainders as appropriate.
- B2.9 Multiplication and Division multiply whole numbers by proper fractions, using appropriate tools and strategies.
- B2.10 Multiplication and Division divide whole numbers by proper fractions, using appropriate tools and strategies.
- B2.11 Multiplication and Division represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies.
- B2.12 Multiplication and Division solve problems involving ratios, including percents and rates, using appropriate tools and strategies.