Skip to navigation Skip to main content

WS02 - Fundraiser

Mathematics, Year 6

By the end of Year 6, students use integers to represent points on a number line and in the Cartesian plane. They solve problems using the properties of prime, composite and square numbers. Students order common fractions, giving reasons, and add and subtract fractions with related denominators. They use all 4 operations with decimals and connect decimal representations of measurements to the metric system. Students solve problems involving finding a fraction, decimal or percentage of a quantity and use estimation to find approximate solutions to problems involving rational numbers and percentages. They use mathematical modelling to solve financial and other practical problems involving percentages and rational numbers, formulating and solving the problem, and justifying choices. Students find unknown values in numerical equations involving combinations of arithmetic operations. They identify and explain rules used to create growing patterns. Students create and use algorithms to generate sets of numbers, using a rule. 

 

They interpret and use timetables. Students convert between common units of length, mass and capacity. They use the formula for the area of a rectangle and angle properties to solve problems. Students identify the parallel cross-section for right prisms. They create tessellating patterns using combinations of transformations. Students locate an ordered pair in any one of the 4 quadrants on the Cartesian plane. 

 

They compare distributions of discrete and continuous numerical and ordinal categorical data sets as part of their statistical investigations, using digital tools. Students critique arguments presented in the media based on statistics. They assign probabilities using common fractions, decimal and percentages. Students conduct simulations using digital tools, to generate and record the outcomes from many trials of a chance experiment. They compare observed frequencies to the expected frequencies of the outcomes of chance experiments. 

Number

AC9M6N04

apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers

Number

AC9M6N07

solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

Number

AC9M6N08

approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies

Number

AC9M6N09

use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made

Statistics

AC9M6ST01

interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape

Statistics

AC9M6ST03

plan and conduct statistical investigations by posing and refining questions or identifying a problem and collecting relevant data; analyse and interpret the data and communicate findings within the context of the investigation

Annotations

 

1. Creates and uses a table to record information and data. 

 

2. Estimates the quantity of items to be sold. 

 

3. Demonstrates fluency with rounding decimals by calculating the cost of items to the nearest whole dollar amount when estimating and calculating forecasted sales. 

 

4. Calculates the percentage of forecasted sales as a loss and uses it to determine the total forecasted profit of sales. 

5. Uses a table to record and determine the total budgeted costs, including calculations for percentage discounts. 

 

6. Demonstrates understanding and fluency with determining percentage discounts.

7. Applies reasoning skills to determine prices for different deals. 

8. Demonstrates an underlying understanding of the concepts associated with profit and loss.

9. Moves flexibly between different representations of a reasonable estimate, representing the estimation as a fraction and an approximated percentage. 

 

10. Uses findings from a statistical investigation to make decisions as part of the modelling process.  

11. Collects data for numerical and categorical variables, and uses the findings, to justify choices made as part of the modelling process.

12. Reasons mathematically to estimate expected sales to budget for costs, based on inferences from the collected data.

13. Draws on qualitative data to reflect on the successfulness of their approach.