1. Integrating Algorithms and Coding into the Mathematics Classroom
Chris paragreen
Bernie mcgrath

2. I.T. subjects at KHS No stand-alone subjects until Yr 10
Teaching of ICT “integrated into the curriculum”
Design technologies covered in the Arts
Excel taught within some Maths units
At Yr 10 we offer programming and robotics
Digicon Integrating Algorithms and Coding into the Mathematics Classroom

3. Algorithms Level Content Description 7
Design and implement mathematical algorithms using a simple general purpose programming language 8 9 10
Use algorithms and related testing procedures to identify and correct errors
Apply set structures to solve real-world problems
Implement algorithms using data structures in a general-purpose programming language
Level
Elaborations 9
using a sort algorithm to determine the median of a set of numbers
exploring variation in proportion and means of random samples, drawn from a population
Level
Elaborations 7
finding the sum of a set of consecutive numbers using a loop structure
constructing geometric patterns such as a honeycomb, using dynamic geometry functionality
Level
Elaborations 8
debugging search and sort programs
testing a number for divisibility
Level
Elaborations 10
using two-dimensional arrays such as matrices to represent and implement sequences of transformations of sets of points in the plane
using pointers in algorithms
Digicon Integrating Algorithms and Coding into the Mathematics Classroom

4. Digital Technologies Level Content Description 7
Design algorithms represented diagrammatically and in English, and trace algorithms to predict output for a given input and to identify errors 8 9 10
Develop and modify programs with user interfaces involving branching, iteration and functions using a general-purpose programming language
Design algorithms represented diagrammatically and in structured English and validate algorithms and programs through tracing and test cases
Develop modular programs, applying selected algorithms and data structures including using an object-oriented programming language
Level
Elaborations 9
designing algorithms to solve real-world problems and describing algorithms using flow charts and structured English, for example START, END, IF and UNTIL
recognising that different algorithms can solve a problem with different trade-offs
Level
Elaborations 8
creating digital solutions that provide user navigation and prompts with controlled repetitions, for example an information kiosk that has layers of buttons and prompts the user three times before returning to the beginning
Level
Elaborations 8
developing and modifying digital solutions by implementing instructions contained in algorithms using a programming language
developing a digital game that manipulates models of real-world objects
programming a robot to recognise particular objects and to treat them differently, for example to choose objects based on colour
Level
Elaborations 7
investigating and designing some common algorithms, such as to search, sequence, sort, merge and control data structures
checking the accuracy of an algorithm before it is implemented, for example desk checking it with test data to see if the instructions produce the expected results
Level
Elaborations 7
using diagrams to describe key decisions, for example creating flowcharts using digital systems to describe a set of computational instructions
using structured English to express algorithmic instructions, for example using conventional statements such as ‘while’ and ‘endwhile’ in a ‘while loop’ when describing interactive instruction
Level
Elaborations 9
tracing algorithms to predict results and program state for a given input, for example desk checking or using an interactive debugging tool
using tracing techniques to test algorithms, for example desk checking an algorithm for a given input by stepping through the algorithm while keeping track of contents of the variables
Level
Elaborations 10
coding separate modules that perform discrete functions but collectively meet the needs of the solution
defining classes that represent the attributes and behaviour of objects in the real world or in a game
selecting different types of data structures such as an array, record and object to model structured data
Digicon Integrating Algorithms and Coding into the Mathematics Classroom

5. Focus on Year 7 Level Content Description 6A
Design algorithms involving branching and iteration to solve specific classes of mathematical problems 7A
Design and implement mathematical algorithms using a simple general purpose programming language 8A
Use algorithms and related testing procedures to identify and correct errors 6D
Design, modify and follow simple algorithms represented diagrammatically and in English, involving sequences of steps, branching, and iteration 7D
Design algorithms represented diagrammatically and in English, and trace algorithms to predict output for a given input and to identify errors 8D
Develop and modify programs with user interfaces involving branching, iteration and functions using a general-purpose programming language
Digicon Integrating Algorithms and Coding into the Mathematics Classroom

6. Use related testing procedures to identify and correct errors
Focus on Year 7
Design, modify and follow simple algorithms involving branching and iteration
trace algorithms to predict output for a given input and to identify errors
Use related testing procedures to identify and correct errors
Digicon Integrating Algorithms and Coding into the Mathematics Classroom

7. An algorithm in Measurement
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8. Teaching the Cartesian Plane
Digicon Integrating Algorithms and Coding into the Mathematics Classroom
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9. Transformations and Iteration
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10. What’s your school doing?
Forum
Questions?
Comments?
What’s your school doing?
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11. Thank you
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