# Counting / Combinatorics

## 5 files05/06/2016

(Used for Tiffin Year 8 scheme of work)

(a) Appreciate that if different selections are independent, each with a number of choices, then the total number of combinations is the product of these.

(b) Understand and use factorial function.

(c) Understand and use 'choose' function.

(d) Solve a variety of arrangement problems.# Probability (pre-GCSE)

## 8 files11/05/2016

(Used for the Tiffin Year 8 scheme of work)

(a) Determine probabilities using matching outcomes/total outcomes.

(b) Understand the concept of a 'sample space'. Identify the sample space for both a single event and two combined events (e.g. adding two dice) and use to calculate probabilities.

(c) Understand the difference between experimental and theoretical probabilities. Calculate experimental probabilities/relative frequencies and estimate the most likely count given the number of trials and a probability.# Robot Path Activity

## 2 files11/05/2016

Activity in which students have to count the total number of possible paths for a robot given certain restrictions on its movements, in order to work out probabilities.

# Bounds (pre-GCSE)

## 2 files11/05/2016

(Used for Tiffin Year 8 scheme of work)

Identify upper and lower bounds for a measurement to a given degree of accuracy, both with decimal places and significant figures (subsequent calculations involving bounds are not required).# Laws of Indices (pre-GCSE)

## 4 files11/05/2016

(Used to the Tiffin Year 8 scheme of work)

(a) Know laws of indices for multiplying, dividing, raising a power to a power. Understand negative and zero indices.

(b) Be able to raise a whole term to a power, e.g. (3m^2)^4 = 81m^8.

(c) Be able to raise a fraction to a power, e.g. (3/2)^-3 = 8/27.