Etymology of "algebra". Solve simple equations using inverse operations. Simplify algebraic expressions by collecting like terms.
Importance of using correct mathematical language. Descriptions of acute, right and obtuse angles as well as parallel and perpendicular lines. We compare and contrast the geometric properties of different triangles and quadrilaterals. First end sketch explores naming shapes through their properties. Second end sketch looks at different types of angles and how they relate to shapes. Final sketch looks at the properties of a rhombus.
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 look at the connection between fractions, x decimals and percentages and how to convert between them. We show that percentages are amounts out of 100 which may simplify to an equivalent fraction. Division by 100 is used to convert percentages to decimals. Equivalent fractions and place value denominators are used to convert between decimals and fractions. We introduce the concept of a recurring decimal
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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