Mathematics Year 1

Mathematics Year 1 Units

Content Skills

Integers
Fractions & Decimals
Ratios & Proportions
Geometry
Algebra
Operations with Rational Numbers
Place Value & Comparing Numbers

• Integers, factors, multiples, rational numbers
• Add, subtract, multiply and divide whole numbers, fractions and decimals. Comparing and ordering
• Ratios, measurement, percent, rates, proportions
• Finding perimeter, area and volume of 2D shapes, cylinders and basic prisms
• predicting the next term in a linear sequence, finding general rules for algebraic expressions
• Adding and subtracting fractions with like and unlike denominators, Mixed Numbers, Improper Fractions, Simplifying, Multiplying fractions
• Positive and negative integers using a number line, adding and subtracting using a number line, comparing integers, budget related vocabulary, decimals

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Mathematics Year 2

Mathematics Year 2 Units

Content and Skills

Number sense
Expressions & Equations
Ratios & Proportions
Geometry
Probability & Statistics
Graphing & Data

• Integers, fractions, decimals, percent, absolute value, order of operations, estimation, sequences
• Order of operations, simplifying expressions, solving one and two step equations algebraically, graphing linear equations and points on a coordinate plane, comparing inequalities, solving and graphing inequalities
• Use ratios to solve problems, find unit rates, write and solve proportions, constant of proportionality, graph proportional relationships, percent equation, distance, rate and time
• Angle properties, properties of polygons, perimeter, area, volume, surface area
• Data collection, construct circle graphs, histograms, line plots, measures of central tendency, box and whiskers, make inferences about populations, find probability of simple events, mutually exclusive events, and combined events
  

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Mathematics Year 3

Mathematics Year 3 Units

Pre-Algebra
The Number System
Proportional and Non-proportional relationships & functions
Geometry-Transformations
Geometry-Volume
Geometry-Pythagorean theorem

Algebra
Exponents & Radicals
Geometry-Angle Relationships
Systems of Equations
Quadratics
Algorithms of Arithmetics

Content and Skills

• Explain relationships between numbers
• Observe patterns in proportional and non-proportional linear relationships.
• Performing transformations about the coordinate plane
• Use derived formulas for volume of cone, cylinder and sphere
• Apply the Pythagorean theorem in real-world situations; proof of theorem and its converse; apply the Pythagorean theorem to find the distance between two points

• Apply the laws of exponents; simplify complex numbers; what is a radical number.
• Using informal argument to establish facts about the angle sum and interior angle measurements.
• Analyze and solve pairs of simulates linear equations.
• Graph quadratic functions and examine the graph to find the axis of symmetry, vertex and roots.
• Understanding basic algebraic algorithms and observe patterns to create shortcuts

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