Mathematical Task Design: Variation by Ben Sinclair https://padlet.com/bsinclair6/lm5zp1akfmm38d97 Variation Theory (Marton, Watson, Mason...); Theory of Instruction (Engelmann and Carnine) en-us 2020-11-08 15:57:05 UTC 2026-01-31 01:04:42 UTC hello@padlet.com https://padlet.net/icons/png/1f468-1f3eb.png bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901755143 2020-11-08 16:03:48 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901755143 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901755437 2020-11-08 16:04:01 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901755437 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901755595 2020-11-08 16:04:08 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901755595 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901756548 2020-11-08 16:04:46 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901756548 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901756916 2020-11-08 16:04:58 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901756916 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901757256 2020-11-08 16:05:14 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901757256 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901759032 2020-11-08 16:06:31 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901759032 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901760326 2020-11-08 16:07:22 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901760326 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901760555 2020-11-08 16:07:32 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901760555 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901760799 2020-11-08 16:07:42 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901760799 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901761014 2020-11-08 16:07:51 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901761014 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901761647 2020-11-08 16:08:16 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901761647 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901894705 Please add any feedback for today's session below.]]> 2020-11-08 17:36:30 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901894705 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901898120 2020-11-08 17:38:48 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901898120 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901898568 2020-11-08 17:39:08 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901898568 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901899445 Add ideas, comments and questions below, or submit a pic of any written work.]]> 2020-11-08 17:39:47 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901899445 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901900550 Add ideas, comments and questions below, or submit a pic of any written work.]]> 2020-11-08 17:40:23 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901900550 TASK 1 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901905597 Add you comments and questions below:]]> 2020-11-08 17:43:43 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901905597 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901960636 Add your answers to the comments below:]]> 2020-11-08 18:23:00 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/901960636 1,2,2,3 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904171447 2020-11-09 14:00:23 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904171447 2,4,4,6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904172940 2020-11-09 14:00:43 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904172940 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904178029 2 4 4 6 ]]> 2020-11-09 14:01:48 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904178029 1223 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904188958 2020-11-09 14:03:55 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904188958 5, 10, 10 , 15 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904193350 2020-11-09 14:04:50 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904193350 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904195097 0,0,0,0]]> 2020-11-09 14:05:09 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904195097 2446 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904197396 2020-11-09 14:05:38 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904197396 Rather long but good building of difficulty if used across years https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904259447 2020-11-09 14:18:34 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904259447 There are spelling errors throughout and the pages are quite busy which could be difficult to focus on https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904270088 The bodies of text could be more concise and include only necessary information to manage cognitive load and students interest in the topic

]]> 2020-11-09 14:20:50 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904270088 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904272090 There are a lot of tasks, is the idea you choose the ones which you prefer or suit the class you are teaching best?]]> 2020-11-09 14:21:17 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904272090 Very word heavy which might put pupils off https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904273075 2020-11-09 14:21:26 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904273075 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904275359 The amount of text is quite off putting when first reading them]]> 2020-11-09 14:21:56 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904275359 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904281469 I like the introduction of averages through blocks, it offers a good pictorial representation of each average]]> 2020-11-09 14:23:13 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904281469 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904286168 I like purposeful practice 2, it uses variation theory well]]> 2020-11-09 14:24:09 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904286168 For simultaneous equations, a real-life example could be multiple people describing the same numbers/thing, but in different ways https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904470138 e.g. Jeff says two numbers add up to 10, Alice says one of the numbers is 4 more than the other one]]> 2020-11-09 15:01:47 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904470138 start by explaining what is a simultaneous equations? https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904480189 2020-11-09 15:03:45 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904480189 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904487917 non examples that feature more than 2 unknowns or non linear terms]]> 2020-11-09 15:05:21 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904487917 list the different methods of solving simultaneous https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904489422 2020-11-09 15:05:40 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904489422 non-examples: https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904494373 2 equations with only one variable
2 equations with only one variable in each one]]> 2020-11-09 15:06:39 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904494373 Graphical https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904496039 Show lines crossing on a graph, and show lines running parallel to compare

]]> 2020-11-09 15:06:57 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904496039 parallel lines! https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904497535 2020-11-09 15:07:15 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904497535 simultaneous equations are equations where we have multiple unknowns and information about the relationships between those unknowns https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904498059 2020-11-09 15:07:21 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904498059 two or more unknown quantities - two or more equations relating them. must find the values of the unknown which satisfy all the given equations https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904500457 2020-11-09 15:07:49 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904500457 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904509433 2020-11-09 15:09:31 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904509433 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904511817 something like 2x+7=13 and x=-4+7 and then replace the 7 with y]]> 2020-11-09 15:09:58 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904511817 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904654967 multiplying equations by a scalar]]> 2020-11-09 15:39:36 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904654967 substitution https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904655228 2020-11-09 15:39:39 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904655228 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904655837 Equating coefficients]]> 2020-11-09 15:39:46 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904655837 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904657270 2020-11-09 15:40:04 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904657270 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904657477 Solve a single equation]]> 2020-11-09 15:40:06 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904657477 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904657954 2020-11-09 15:40:12 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904657954 rearranging, substitution, simplifying https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904658638 2020-11-09 15:40:19 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904658638 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904658661 multiplication, addition, solving linear equation, substitution]]> 2020-11-09 15:40:19 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904658661 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904658694 linear equations substitution addition subraction division, fractions, negative numbers positive numbers 
basic balancing

]]> 2020-11-09 15:40:20 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904658694 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904660592 scale equations, add and subtract equations, solving for one unknown variable, ]]> 2020-11-09 15:40:40 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904660592 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904663174 find LCM of two numbers (3 and 2)]]> 2020-11-09 15:41:13 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904663174 taylorreardonallen1 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904663959 solving equations

]]> 2020-11-09 15:41:22 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904663959 Use different and very distinct numbers in each example so the students can see the method more clearly https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904693471 2020-11-09 15:47:41 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904693471 bsinclair6 https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904772271 2020-11-09 16:04:02 UTC https://padlet.com/bsinclair6/lm5zp1akfmm38d97/wish/904772271