AC9M5ST01 Year 5 Mathematics

AC9M5ST01 – Year 5 Mathematics: null

Strand

Statistics

Substrand

Statistics

This Content Descriptor from Year 5 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

Content Descriptor

acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables, to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the data

Elaborations

• recognising that ordinal data is a form of categorical data even though the data being collected might be numbers; for example, a rating scale using numbers \(1 – 5\) to represent the categories people can choose from when asked, “What rating would you give this film out of \(5\)?”
• determining the mode for a set of data and discussing that there may be more than one mode
• identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations
• acquiring data through chance experiments, discussing and reporting on the distribution of outcomes and how this relates to equal and unequal outcomes
• using digital systems to validate data; for example, recognising the difference between numerical, text and date formats in spreadsheets; setting data types in a spreadsheet to make sure a date is input correctly
• exploring how travel and online shopping websites and apps collect ordinal data from users to provide customer satisfaction and popularity ratings, and how they use recommendation algorithms to assist customers in travel planning or retail purchasing
• investigating data relating to Australia’s reconciliation process with First Nations Australians, posing questions, discussing and reporting on findings

Achievement Standard This Supports

This Content Descriptor contributes to the following Achievement Standard:

Year 5 ASMATY5

Year 5 Mathematics Achievement Standard

By the end of Year 5, students use place value to write and order decimals including decimals greater than one. They express natural numbers as products of factors and identify multiples. Students order and represent add and subtract fractions with the same or related denominators. They represent common percentages and connect them to their fraction and decimal equivalents. Students use their proficiency with multiplication facts and efficient calculation strategies to multiply large numbers by one- and two-digit numbers and divide by single-digit numbers. They check the reasonableness of their calculations using estimation. Students use mathematical modelling to solve financial and other practical problems, formulating and solving problems, choosing arithmetic operations and interpreting results in terms of the situation. They apply properties of numbers and operations to find unknown values in numerical equations involving multiplication and division. Students create and use algorithms to identify and explain patterns in the factors and multiples of numbers. They choose and use appropriate metric units to measure the attributes of length, mass and capacity, and to solve problems involving perimeter and area. Students convert between 12- and 24-hour time. They estimate, construct and measure angles in degrees. Students use grid coordinates to locate and move positions. They connect objects to their two-dimensional nets. Students perform and describe the results of transformations and identify any symmetries. They plan and conduct statistical investigations that collect nominal and ordinal categorical and discrete numerical data using digital tools. Students identify the mode and interpret the shape of distributions of data in context. They interpret and compare data represented in line graphs. Students conduct repeated chance experiments, list the possible outcomes, estimate likelihoods and make comparisons between those with and without equally likely outcomes.