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When teaching quadratic functions (finding parameters by simultaneous equations and also by quadratic regression), show students how to import an image into Desmos, select a suitable alignment and then select points to be able to use quadratic regression in GDC.

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I use it for inquiry and interpretation of graphs. But I scaffold it to focus on communication, using the appropriate mathematical terms and defining variables, being precise with language, and communication and reasoning

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Here are descriptions of eight real-world processes. For each, try to sketch a suitable graph. If you are not familiar with the background science, then try to use what you do know to reason through what a graph might look like.

You do not need to calculate or plot exact points, just sketch graphs that give the general shape.

As you produce your sketches, make a list of the features that you are considering.

Temperature of a cup of tea over time.

Height of the valve on a bicycle tyre as the bicycle moves forwards.

Height of a tennis ball thrown straight up and then caught.

Distance fallen by a parachutist jumping out of a plane.

Reading on the odometer (mile counter) of a car driving on a motorway.

Radius of a spherical balloon as it is inflated.

Volume of water remaining in a cup as water is sucked out through a straw.

Distance along a tape measure measured in inches compared with distance measured in metres.

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Picture the process I | Thinking about Functions | Underground Mathematics

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Here are descriptions of eight real-world processes. For each, try to sketch a suitable graph. If you are not familiar with the background science, then try to use what you do know to reason through what a graph might look like. You do not need to calculate or plot exact points, just sketch graphs that give the general shape.

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If you are using stats, here is an amazing source: Guide to Country Comparisons - The World Factbook (cia.gov)

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Country Comparison pages are presorted lists of data from selected Factbook data fields. Country Comparison pages are generally given in descending order - highest to lowest - such as Population and Area. The two exceptions are Unemployment Rate and Inflation Rate, which are in ascending - lowest to highest - order. Country Comparison pages are available for the following fields in eight of the twelve Factbook categories.

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Country Comparison pages are presorted lists of data from selected Factbook data fields. Country Comparison pages are generally given in descending order - highest to lowest - such as Population and Area. The two exceptions are Unemployment Rate and Inflation Rate, which are in ascending - lowest to highest - order.

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If using the investigation tasks (e.g. in Oxford textbook), have students submit a write-up to enable them to work on structure, communication, and mathematical presentation.

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Example of a task I use for our 13year old students, aimed at long-term development of IA skills

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Students collect data they believe is normally distributed and explore whether it is normally distributed using the Chi-square goodness of fit test and other math. They develop their understanding of the math while they also get practice using online graphing tools and spreadsheets.

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To familiarise students with using Desmos, I have them take a picture of a building in the city that has a curved element to its structure. I will then have them insert the picture into desmos so that it aligns nicely with the axes, identify points points along the curved structure, and then try to create a function that models this curve using their GDC.

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This is what my SL AI students are working on while I'm at this workshop

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loads of Paper 3 exercises that can be mini exploration practice (ask students to write an intro, aim, body, conclusion) 

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loads of Paper 3 exercises that can be mini exploration practice (ask students to write an intro, aim, body, conclusion) 

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homework check - writing mathematics using tech

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homework check - writing mathematics using tech

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I have students write out on their laptops one solution of the homework assigned to (1) check to see if it was done and (2) practice their writing maths on the laptop.

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They use this spreadsheet to paste two downloads from CIA factbook - it pairs the data for them, and gets rid of unmatched data points

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I do this with my Class 1 SL AA students after we've covered quadratic functions. It gives them a chance to learn to use equation editor and Geogebra, and I spend a lesson teaching them these things

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A mini exploration I have tried (given to me by an instructor of a IA online workshop)

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I get students to compete in teams for 4-5 different candy-centric events. Then with all the data results gathered from each event (with different means and different standard deviations), they have to think through how they can determine the ultimate winner of the whole event (leading them to discover z-values, and their usefulness in real-life situations).

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type 1 are pattern investigation tasks, and type 2 are modelling tasks, and are useful to practice solving IA style questions.

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Choose a degree of accuracy for your homework problem, share with the class and debate which is best and why

write one line of reflection in each answer of HW (does my answer make sense? what does it mean in the context of the real life situation?)

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Desmos and Quadratic function modelling activity

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Desmos and Quadratic function modelling activity

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Presentation and Mathematical communication 

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Presentation and Mathematical communication 

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Regularly swap books with peers and give feedback on showing working, clarity, etc

- do you understand your classmates work? do you follow?

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Use Geogebra instead of GDC to graph in everyday problems

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Use Geogebra instead of GDC to graph in everyday problems

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This is a modelling task I do with my 14 year old students, 2 years before they start IB. Building up skills in using Desmos, exploring and experimenting with functions, using an equation editor, and beginning skills of explanation. I've had some submissions that are better than many of the IA drafts I receive!

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https://www.geogebra.org/m/r4589veb

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IA practice

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Session 7 - Population Growth activity.pdf

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Free online apps bundle from GeoGebra: get graphing, geometry, algebra, 3D, statistics, probability, all in one tool!

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All worksheets from http://www.malinc.se/math/ divided into chapters according to the menu at the site.

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Collection of tasks/projects for Grade 7 and up

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Collection of tasks/projects for Grade 7 and up

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Includes developing skills with Desmos and Geogebra, mathematical writing. Tasks generally include instructions, tips and hints, grading criteria, and an example piece of work that students can use as a template.