Maths at Home

How to Place Fractions on a Number Line To place fractions on a number line: Subtract one from the denominator of the fraction. Draw this many evenly-spaced lines between each whole number. Locate the whole number part of the fraction on the number line. Count on from here by the number of lines equal to […]

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Video Lesson: Finding an Angle in a Right-Angled Triangle Finding Angles Using Trigonometry Trigonometry relates angles and lengths in geometric shapes. Right-angled trigonometry involves the relationship between the lengths of the three sides of a right-angled triangle (the opposite, adjacent and hypotenuse) and its angles. In this lesson, we learn how to calculate missing angles

Video Lesson: Residual Plots What is a Residual? A residual is the difference between the observed value and the value predicted by the model at a given data point. A positive residual means that the observed value is above the trendline and a negative residual means it is below the trendline. The larger the residual,

Logarithm Laws: Video Lesson What are the Laws of Logarithms? The laws of logarithms are algebraic rules that allow for the simplification and rearrangement of logarithmic expressions. The 3 main logarithm laws are: The Product Law: log(mn) = log(m) + log(n). The Quotient Law: log(m/n) = log(m) – log(n). The Power Law: log(mk) = k·log(m).

Scientific Notation: Video Lesson What is Scientific Notation? Scientific notation can be used to represent both decimals less than one whole and very large whole numbers. Scientific notation is a concise way to represent both very large or very small numbers. Scientific notation involves a number between 1 and 10 being multiplied to a power

Simpson’s Rule for Area of a Shape: Video Lesson Simpson’s 1/3 Rule For Area Formula Simpson’s rule for finding the area of a shape is: Area=(w/3)×[yfirst + 4(yodd) + 2(yeven) + ylast], where w is the equal width between each measurement, yfirst and ylast are the first and last measurements, yodd is the sum of

Video Lesson How to Calculate Reverse Percentages All percentage changes can be reversed to find an original amount. The process of calculating an original amount following a percentage change is known as finding a reverse percentage. Reverse percentages are commonly used to find the original price of an item after a percentage change (discount or

Video Lesson: How to Multiply Exponents Rules for Multiplying Terms with Exponents If the base number is the same, keep the base number the same and add the exponents. If the base numbers are different but the exponent is the same, multiply the base numbers and raise it to the same exponent. If the base