Adjust the initial positions of two cars and their speeds and see/calculate where they overtake. This is a lovely Geogebra applet to introduce distance-time graphs and give an application for the intersection of straight lines. A game provides a competitive element which students love. In this way they can concentrate on what operations to carry out to solve the equation and rely on the computer to do the rest (a tick comes in the form of a green squiggle). The balance scales have been removed, but the applet provides scaffolding by checking the steps of working as the students go along. This VM from The Freudenthal Institute is best used after Algebra Balance Scales. To see how best to exploit this activity see Balancing Equations Solving Equations Game A great way to introduce solving equations. Negative values are represented by balloons lifting up each side. You can create a visual image of the equation then remove or add items from both sides to solve it. This virtual manipulative from NLVM allows you to solve equations using a balance scale. Solving Linear Equations Algebra Balance Scales Numbers can be expressed as fractions or as decimals. The interface is simple to use and it stresses sequences notation, using ‘n’, rather than function notation in ‘x’. Students can see the ‘n’ terms, the nth terms and a graph of these terms. Students can experiment with a variety of sequence's formulae using the variable ‘n’ (as opposed to ‘x’) - see Physical World Sequences. To find out how best to exploit this number grid read what John has to say about them.Ī useful VM from the excellent Freudenthal Institute. You can preset the relationships for use with a class. How few cells can you uncover in order to predict all the others? Each cell has two parts: a calculation (yellow), and a result (blue). Oodles of potential for this lovely show me/hide me grid from John Mason. The father activity gives away a little too much for this investigation, but this VM is superb! Number Grid Sequences You can separate the cube and look at different layers individually for up to 5 by 5 by 5 cube. This lovely animation saves loads of time (and the need to have enough multilink cubes for the whole class) to recreate the classic painted cubes activity. You can records results in a table in notepad. Lots of functionality on this virtual manipulative, which takes a little getting used to: select input, press calculate then try to work out the two functions and fill in operation 1 and 2. Students love the function machine noises!Īnother guess the function game, but this time the function is made up of two steps. A simple introduction to functions that can be played with a whole class or individually. Choose the input, receive the output and guess the function. Skills tested: collecting like terms, substitution and expanding brackets.Ī game to get students to guess the operation of a single stage functions. The gamer is encouraged to practise their algebraic skills at the same time as avoiding thse pesky ghosts, and eating the one with the correct answer. Why is it that I'm still surprised how much children enjoy even the simplest of games? No 21st Century graphics in this game of pacman, but still lots of fun. Entries are listed by topic subheading, although its not always easy to separate so its worth looking through the lists! Where possible they will link to an example of how they can be used in the classroom. The following page lists some examples of some of the best freely available virtual manipulatives on the web for teaching Algebra. 'Great tools, freely available on the web for teaching Algebra!' Geogebra: Modelling Animations Discovery.Engaging Starters, inspiration, inquiry.Homework:effective Feedback + Real Applications.'Hands-On' no screen tasks + Covid data?.
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