Featuring:

In **Mathematical Miscellany #54** I featured two excellent resources from Curriculum for Wales; a third is now available, “**The Foundations of Algebra**” is suitable for progression step 3 of the new #CurriculumForWales (age 11). The workbook contains chapters on patterns, commutativity, distributivity & associativity.

I do like the above exercise which as the Teacher’s Guide acknowledges is based on Don Steward’s work, **directed number arithmetic speed up** and Chris McGrane’s **Alternative representation of integers**. A further useful resource for such an exercise is Jonathan Hall’s **Directed Number MCQ Generator** on MathsBot with which you can generate all the addition and subtraction multiple-choice questions you want; choose between Counters on or off.

As with the other two resources, a very comprehensive **teacher’s guide** is also available. You can see the contents here, this resource with its carefully chosen and varied activities and exercises will help students with the foundations of Algebra.

On the subject of negative numbers, from **PhET simulations** we have another excellent resource in their latest addition to the Mathematics collection. To use the number line as a model for ordering real numbers and also to illustrate operations with negative numbers we can use the excellent, **Number Line: Distance**. Also available are **Number Line: Integers**, and **Number Line: Operations**. All are excellent for students to explore.

This resource has been added to my post on **Negative Numbers** which looks at some resources to develop understanding of operations with positive and negative integers and exercises for practice.

A popular post on this blog is on **Venn Diagrams**, first written in 2016 this has recently been checked and updated with some new resources including always excellent resources from Amanda Austin on Dr Austin Maths. Included in her **Probability resources** you will find an excellent section on Set Notation and Venns.

GeoGebra retweeted this from Javier Cayetano Rod

…the translation:

“Adding some leaves to the stem of a flower can be the perfect excuse to talk about translations and turns in space @debora_pereiro . Added to the flower generator in @geogebrahttps://geogebra.org/m/duqthjva“

Which in turn led me to this amazing GeoGebra collection, **Flowers 3D**, Author: **Deborah Pereiro Carbajo**.

Have look at **Flowers from Curves**, simply brilliant!

Explore the collection – you could be a while!

Complete Maths has made Robert Smith’s session “**Web Autograph, a First Look**” freely available

I wrote earlier this year on the excellent **Math Whiteboard**. This is completely free to use; If you create a whiteboard you can then get a link for that whiteboard which you can share. When I have created a whiteboard I then save a second copy so I can always return to the original.

With an **individual subscription** ( currently $15 for a year) it is possible to access all the features of Fluid Math including as an authoring tool for creating Math Whiteboard activities. It is also possible to save your activities.

A new feature is available – the ability to create answer boxes to check for correct answers. You can see examples using this feature **here**.