Etymology of "algebra". Solve simple equations using inverse operations. Simplify algebraic expressions by collecting like terms.

We convert between fractions, decimals and percentages utilising equivalent fractions and percentage as a fraction out of 100. We see a recurring decimal.

Meanings of and connections between fractions, decimals and percentages. End sketch analyses the "giving 110%" platitude associated with sport commentary.

We construct pie charts and connect the sector angles with fractions, decimals and percentages. We calculate unknowns using angles and proportions from a pie chart.

We show how scale factors are used in maps and models. Two dimensional objects in a coordinate plane are enlarged using a scale factor. End sketch illustrates proportion.

We calculate area and perimeter of compound shapes, emphasising the importance of using the correct units in measurement and calculations.

We emphasise the importance of using correct geometric language and rules. We compare and contrast properties of 2-D shapes. End sketches explore geometric properties of some 2-D and 3-D shapes.

We decompose natural numbers into products of prime factors and discuss why prime numbers are significant today. End sketches define primes and introduce simple sequences.

We look at how to decide whether a natural number is prime or composite by working out it's factors. The end sketch introduces square numbers and square roots.

Motivational clip showing that mathematics may seem difficult but those difficulties can be overcome with effort and training. We also discuss some applications of mathematics.

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