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

This practical task investigates the effect of temperature on the rate at which corn pops. Students collect data and make a conclusion.

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

Task: Identify patterns in a table and suggest ways to make a toy travel further. Assessment focus: interpreting data; energy; forces.

Students identify a correct statement about the comparing the overall distribution of two dot plots.

Students identify multiples of 4 and of 6, and explain their reasoning.

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

Students answer questions based on multiplication or division by 25, and explain how they arrived at their answer.

Task: Identify direction of currents and explain reason for pattern. Assessment focus: convection patterns.

Students conduct a practical, statistical investigation. They decide on a Topic and question, conduct the survey, complete the tally chart, construct a bar graph of the major ideas and make statements about the results.

Students use raw data to construct a table and then a bar graph of the number of runs scored in softball games. Students are also required to make a statement about the results.

Students identify the larger of two improper fractions and drag a number of improper and mixed fractions into ascending order.

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 show or explain how two different fraction numbers can represent the same fraction.

Task: Complete a diagram of part of the water cycle and answer a question about rain. Assessment focus: Question a) – the water cycle and conventions of diagrams; question b) – evaporation of a solution.

Task: Watch a video of two sofas burning, record the results, and use the evidence to make inferences about fire retardants. Assessment focus: using observations to provide evidence.

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

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

Students conduct a statistical investigation about their prediction of the most common words used in English. They make graphs, describe their shape, and compare their own graph with ones that other students produce.

Students identify true and false statements, and provide a description of the most important features of a time series graph.

Students identify the order of rotational symmetry for a number of shapes.

Task: Use data in a table to construct a graph and answer questions about the patterns. Assessment focus: interpreting tables and graphs.

Students sort different shapes into tessellating and not tessellating categories and explain their reasoning.

Students are required to make summary statements about the projected population growth of Māori from a composite bar graph published by Statistics New Zealand.

Students interpret a back-to-back bar graph comparing and identifying a pattern in the data.