Mathematics ACT Grade 7
- Introducing the concept of mass
- Using the formal unit of the centimetre to measure length and perimeter
-
The Kilogram
- The Gram
- Using the Cubic Centimetre to Measure Volume
- Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
- Multiplication using extended algorithms
- Multiplying 3 and 4-digit numbers by multiples of 100
- 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
- 24-hour time
- Average speed
- Time Zones
- 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
- Multiplying and Dividing Equivalent Fractions
- Reducing Fractions to Lowest Equivalent Form
- 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
-
Finding the Area of a Triangle and Other Composite Shapes
- Area of a Trapezium
- 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
- Multiplying 2-digit numbers by 2-digit numbers
- Multiplication by 2 and 3 Digits
- Multiplying 3-digit numbers by 4-digit numbers
- Multiplying 4-digit numbers by 4-digit numbers
- Repeated subtraction with divisors less than 20 with no remainders
- Repeated subtraction by multiples of 10 with divisors less than 20 with no remainders
- Repeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
- Repeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
- Repeated subtraction by multiples of 10 with divisors less than 20 with remainders
- Repeated subtraction with divisors greater then 20 with remainders as fractions
- Repeated subtraction with divisors less than 35 with some remainders
- Repeated subtraction with divisors less than 55 with dividends of 3 and 4-digits with some remainders
- Repeated subtraction with divisors greater than 50 with dividends of 000's and some remainders
- Using divide, multiple and subtraction in the bring down method
- Sign Words
- Problem Solving Strategies
-
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
- Divide whole numbers by a 2-digit divisor
- Rounding Decimals
- Decimals to three decimal places
- Adding decimals with a different number of decimal places
- Subtracting decimals with a different number of places
- Multiplying decimals by 10, 100 and 1000
- Dividing decimals by 10, 100 and 1000
- Multiplying decimals by single-digit numbers
- Dividing decimals by whole numbers
- Multiplication of decimals by decimals to two decimal places
- Dividing numbers by decimals
-
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
-
Measuring Angles
- Adjacent Angles
- Complementary and Supplementary Angles
- Simplifying Algebraic Expressions: Combining Addition and Subtraction
- Simplifying Algebraic Expressions: Multiplication
- Simplifying Algebraic Expressions: Division
- 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
- Solving Two-Step Equations
- Solving Equations Containing Binomial Expressions
- Angle Sum of a Triangle
- Exterior angle theorem
- Special triangles
- Quadrilaterals
- Geometric Constructions