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WS04 - Travel itinerary

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

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

AC9M6N09

use mathematical modelling to solve practical problems, involving 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

Measurement

AC9M6M03

interpret and use timetables and itineraries to plan activities and determine the duration of events and journeys


x
1

Identifies flights that allow enough time between landing at Sydney and departing to Tamworth.

8 19 5 40
2

Applies a percentage amount to calculate discounted prices.

23 30 5 40
3

Uses multiplication to determine the total cost for 11 nights.

30 34 5 40
4

Schedules appropriate pick-up and drop-off times according to flight departures and arrivals.

38 45 5 40
5

Distinguishes between cost per person and cost per couple.

47 57 5 40
6

Accounts for all categories of expenditure when calculating the total cost.

59 66 5 40
7

Explains how the pick-up and drop-off times for the car rental were influenced by the flight schedules.

69 75 5 40
8

Recognises that a fixed budget is a necessary consideration when planning a travel itinerary.

76 80 5 40
Transcript

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