Mathematics ACT Grade 9
- Using the metre as a formal unit to measure perimeter
- Using the formal unit of the centimetre to measure length and perimeter
- Introduction to Volume: using the cubic centimetre as a standard unit
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The Kilogram
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Introduction to the square centimetre
- Solve and record division using known facts and sharing
- The Gram
- Multiples and factors of whole numbers
- The numbers 1000 to 9999
- Addition up to the number 999
- Constructing Models
- Using the Cubic Centimetre to Measure Volume
- Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
- Area of a Circle
- Area of Regular Polygons and Composite Figures
- Subtraction up to the number 999
- Multiplication using extended algorithms
- Division with and without a remainder
- Dividing two and three-digit numbers by a single-digit number
- The Numbers 10 000 to 99 999
- Addition to 9999 and beyond
- Subtraction involving four-digit numbers and beyond
- The numbers 100 000 to One Million and beyond
- Read and calculate distances on a map using the formal unit kilometre
- Compare and convert formal units of measurement
- Larger Areas: Square Metre, Hectare, Square Kilometre
- Mixed numerals
- Improper Fractions
- Multiplying and Dividing Equivalent Fractions
- Reducing Fractions to Lowest Equivalent Form
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Finding the Area of a Triangle and Other Composite Shapes
- Area of a Trapezium
- Area of a Rhombus
- Sign Words
- Problem Solving Strategies
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Word Problems with Numbers
- Word Problems with Money
- Word Problems with Length
- Word Problems with Mass
- Word Problems with Area
- Word Problems with Volume/Capacity
- Introducing the Formula for Volume
- Using the Cubic Metre to Measure Volume
- Solving Problems about Volume Part 1
- Solving Problems about Volume Part 2
- Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity
- The relationship between the common units of capacity: the litre and the millilitre
- Recognise the need for a larger formal unit to measure volume and capacity
- Estimate, measure and compare the capacity of containers
- Converting between the formal measures
- The Tonne
- Surface Area of a Cube/Rectangular Prism
- Surface Area of a Triangular/Trapezoidal Prism
- Surface Area of a Cylinder and Sphere
- Finding the volume of prisms
- Volume of a Cylinder and Sphere
- Multiplication by 2 and 3 Digits
- Divide whole numbers by a 2-digit divisor
- Adding and Subtracting Fractions with Different Denominators
- Multiplying Fractions
- Multiplying mixed numbers
- Multiplying Fractions by Whole Numbers
- Fractions of Whole numbers
- Finding reciprocals of fractions and mixed numbers
- Dividing fractions
- Dividing mixed numbers
- BODMAS
- Adding decimals with a different number of decimal places
- Subtracting decimals with a different number of places
- Multiplying decimals by single-digit numbers
- Dividing decimals by whole numbers
- Multiplication of decimals by decimals to two decimal places
- Dividing numbers by decimals
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Understanding percentages
- Changing fractions and decimals to percentages tenths and hundredths
- Changing Percentages to Fractions and Decimals
- One Quantity as a Percentage of Another
- Brain Teasers
- Algebraic Expressions
- Substitution into Algebraic Expressions
- Directed Numbers: Addition and Subtraction
- Directed Numbers: Multiplication and Division
- Simplifying Algebraic Expressions: Adding Like Terms
- Simplifying Algebraic Expressions: Subtracting Like Terms
- Adding indices when multiplying terms with the same base
- Subtracting indices when multiplying terms with the same base
- Multiplying indices when raising a power to a power
- Multiplying indices when raising to more than one term
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Measuring Angles
- Adjacent Angles
- Complementary and Supplementary Angles
- Simplifying Algebraic Expressions: Combining Addition and Subtraction
- Simplifying Algebraic Expressions: Multiplication
- Simplifying Algebraic Expressions: Division
- Simplifying Easy Algebraic Fractions
- Simplifying Algebraic Fractions Using the Index Laws
- Algebraic Fractions resulting in Negative Indices
- Expanding Algebraic Expressions: multiplication
- Expanding Algebraic Expressions: Negative multiplier
- Expanding and simplifying algebraic expressions
- Vertically Opposite Angles
- Angles at a Point
- Parallel Lines
- Additional questions involving parallel lines
- Angle Sum of a Triangle
- Exterior angle theorem
- Special triangles
- Quadrilaterals
- Geometric Constructions
- Terms raised to the power of zero
- Congruent triangles: Tests 1 and 2
- Congruent triangles: Tests 3 and 4
- Proofs and Congruent Triangles
- Similar Triangles
- Using Similar Triangles to Calculate Lengths
- Examples involving overlapping triangles
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Frequency Table
- Frequency histograms and polygons
- Relative Frequency
- The Range
- The Mode
- The Mean
- The Median
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Trigonometric Ratios
- Using the Calculator
- Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
- Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
- Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
- Unknown in the Denominator [Case 4]
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Bearings: The Compass
- Angles of Elevation and Depression