Using language, symbols, and texts resources

Students recognise equal and different likelihoods when playing a game of chance and explain their reasoning.

Students predict whether two dice games are fair and give their reasons. They then play each game (investigate) fifty times and explain their results.

Students predict the outcome of throwing five dice and confirm their predictions by conducting an experiment and calculating probabilities. After discussing how to get better estimates, they pool their results with others to get a more accurate estimate of how good their predictions were.

Students throw two dice, add the numbers together, construct a tally chart of results, and compare theoretical with observed outcome.

Students count the number of pairs thrown in a series of throws of three dice to evaluate the long-run relative frequency of getting a pair.

Students predict the outcome of 100 coin tosses, then carry out a test of their prediction, recording their results.

Students use survey data about sports results to estimate the probability of the next person's answer.

Students explain who is most likely to win a game based on spinners, and how the game could be made fair.

Students decide which statement about a dot plot is incorrect and explain their reasoning.

Students read information and make statements about the information from two bar graphs.

Students interpret a back stem-and-leaf graph to answer questions about a measurement investigation.

Students calculate an average and a percentage from raw data and comment on these findings.

Students conduct a statistical investigation into the sentence length of different types of books by making and comparing dot plots.

Students consider three different sampling methods for a survey and decide if each is a fair sample, explaining their answer.

Students identify fractions that are greater than a half, explain their reasoning, and identify how far from half some fractions are.

Students use rounding to estimate totals then discuss this as a method of estimation.

Task: calculate answer to questions about speed, distance, and time. Assessment focus: using a formula.

Students compare the overall distribution of two graphs and describe their reasons.

Students draw a scatterplot of a table of data and describe the relationship between the two variables.

Students find subsequent shapes in a repeated pattern and show how to work out another shape based further on in the pattern.

Students calculate the number of containers needed for given amounts of fruit for a recipe.

Students identify fractions that are greater than a half and explain their reasoning. They also identify how far from half some fractions are and name a fraction closer to half than one given.

Students identify fractions that are greater than one, explain their reasoning and identify how far from one some fractions are.

Students write number sentences for story problems, and create story problems from number sentences.

Students use number properties to solve problems without calculating.