The 8 videos in this collection focus on all aspects of Arithmetic, from fractions to percentages and ratios.

Running Time

241 mins

Nb videos

8 videos included

Kanopy ID

1106049

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Fractions - Basic Ideas

Fractions are ways of writing parts of whole numbers. This unit looks at the basic concept of fractions -- what they are, what they look like, why we have them…

Fractions: Adding and Subtracting

This unit covers how to add and subtract simple fractions, and how to add and subtract mixed fractions by turning them into improper fractions.

Fractions: Multiplying and Dividing

This unit describes how to multiply fractions, and how to divide fractions by turning the second fraction upside down.

Decimals

This unit discusses the meaning of decimals and how they are related to fractions. Included are rounding to given numbers of decimal places or significant figures. Irrational numbers are also…

Percentages

This unit looks at the meaning of percentages and how to carry out calculations involving percentages. The use of the percentage button on calculators is also explained.

Ratios

A ratio is a way of comparing two or more similar quantities, by writing two or more whole numbers separated by colons.

Rules of Arithmetic

Evaluating expressions involving numbers is one of the basic tasks in arithmetic. But if an expression is complicated then it may not be clear which part of it should be…

Surds, and other Roots

Roots and powers are closely related, but only some roots can be written as whole numbers. Surds are roots which cannot be written in this way.

Integer Operations into Negative Zone

Key concepts explained: negative numbers, integers, addition and subtraction of integers.

Visualizing Decimals

Expand into the realm of decimals by probing the connection between decimals and fractions, focusing on decimals that repeat. Can they all be expressed as fractions? If so, is there a straightforward way to convert repeating decimals to fractions using the dots-and-boxes method? Of course there is!

Pushing the Picture of Fractions

Delve into irrational numbers--those that can't be expressed as the ratio of two whole numbers (i.e., as fractions) and therefore don't repeat. But how can we be sure they don't repeat? Prove that a famous irrational number, the square root of two, can't possibly be a fraction.

Algebra

The 18 videos in this collection focus on all aspects of Algebra, from logarithms to quadratic equations and partial fractions.

Integration

The 11 videos in this collection focus on all aspects of Integration, from integration as summation to integration leading to log functions.

Trigonometry

Similar triangles
--finding an unknown height in a similar triangle
--tangent ratios of varying angles
--hypotenuse, adjacent, and opposite sides
--using a calculator to find the tangent ratio of any angle
--using tangent ratios to find an unknown adjacent or opposite side length

Trigonometry

The 11 videos in this collection focus on all aspects of Trigonometry, from Pythagoras' theorem to cosec, sec and cot.

Sequences and Series

The 5 videos in this collection focus on all aspects of Sequences and Series.

Surprise! The Fractions Take Up No Space

Drawing on the bizarre conclusions from the previous lecture, reach even more peculiar results by mapping all of the fractions (i.e., rational numbers) onto the number line, discovering that they take up no space at all! And this is just the start of the weirdness.

Visualizing Ratio Word Problems

Word problems. Does that phrase strike fear into your heart? Relax with Professor Tanton's tips on cutting through the confusing details about groups and objects, particularly when ratios and proportions are involved. Your handy visual devices include blocks, paper strips, and poker chips.

Moving Bodies with Constant Mass

A compilation of the following programs: : Deceleration with parachutes, Acceleration with planes, Bows and Arrows, Differentiation of natural log of x (tutorial), Inverse Trig function - differentiation (tutorial), Exponential Functions (tutorial), Integrals that lead to log functions (tutorial), Integration by substitution (tutorial), Partial Fractions (tutorial) and Differential Equations -…

Functions and Graphs

The 8 videos in this collection focus on all aspects of Functions and Graphs.

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