5 Maths Gems #73

Welcome to my 73^rd gems post. This is where I percentage simply about of the latest news, ideas too resources for maths teachers.

1. GCSE Paper 2 too 3
So, we've had the start novel GCSE papers! Like everyone else, I was total of nerves too excitement on the day. Years of grooming too it in conclusion happened. Many teachers volition encounter their Year eleven students for revision sessions at simply about betoken over the side past times side 2 weeks. If you're looking for resources for those sessions, depository fiscal establishment agree out corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.

2. GCSE Workout
Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource

I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.

I've Adam Creen's post where he has collated all the practise papers for Edexcel that were made afterwards Paper 1. There's a lot to direct from! If you're AQA too then caput over to corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.

2. GCSE Workout
Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource

I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.

I've mentioned before that intermediate papers are a skillful source of GCSE practise questions, too it turns out that an intermediate inquiry from 1997 was reused inwards this year's Edexcel Paper 1 (both Foundation too Higher) - thank you lot to Jo Weaver for spotting this. This is something to acquit inwards heed for futurity years - old intermediate questions likely won't endure used again, but intermediate papers rest a helpful resources for GCSE students.

3. Parabolator
On the strange occasion that I brand my ain resources, I sometimes involve an online tool to sketch a uncomplicated graph. When I made my corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.

2. GCSE Workout
Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource

I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.

I've Problem Solving Resources page where you'll discovery like resources for both primary too secondary schoolhouse students.

Update
In example you lot missed them, hither are my recent posts:

• corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.
  
  
  2. GCSE Workout
  Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource
  
  
  
  I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.
  
  I've New Influenza A virus subtype H5N1 Level Timings
• corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.
  
  
  2. GCSE Workout
  Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource
  
  
  
  I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.
  
  I've #malcolmswanday
• corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.
  
  
  2. GCSE Workout
  Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource
  
  
  
  I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.
  
  I've Calculators for the New Influenza A virus subtype H5N1 Level

Over the coming months I'll likely endure blogging a fair amount nigh preparing for the novel Influenza A virus subtype H5N1 level. As shortly equally I learn simply about gained fourth dimension it volition endure my principal focus. There's lots to create - schemes of work, resources, content splits too thus on. I'll endure preparing to instruct mechanics for the start fourth dimension too.

I'm speaking at 2 conferences inwards the coming months - #mathsconf10 inwards London too #mathsconf11 inwards Cardiff. Both are on Saturdays too exclusively damage £25 thus create come upwards along if you lot can. My workshops are business office of a novel serial of talks where I volition await inwards depth at specific topics, speaking nigh approaches, misconceptions too resources.

I volition also endure aid the JustMaths Conference on 27th June which I'm actually looking frontward to.

Tickets are currently on sale for my exciting summertime maths teachers' final result - depository fiscal establishment agree out summaths.weebly.com for details.

On my @Team_Maths1 trouble concern human relationship I've shared simply about classic resources over half-term, thus if you're on Twitter create depository fiscal establishment agree it out.

Finally, I'll exit you lot amongst a prissy puzzle shared by @solvemymaths via @sansu_original. I don't oftentimes brand fourth dimension to assay random maths puzzles but I had a quick learn at this too enjoyed it! What's the ratio AB:BC?

5 Maths Gems #73

Welcome to my 73^rd gems post. This is where I percentage simply about of the latest news, ideas too resources for maths teachers.

1. GCSE Paper 2 too 3
So, we've had the start novel GCSE papers! Like everyone else, I was total of nerves too excitement on the day. Years of grooming too it in conclusion happened. Many teachers volition encounter their Year eleven students for revision sessions at simply about betoken over the side past times side 2 weeks. If you're looking for resources for those sessions, depository fiscal establishment agree out corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.

2. GCSE Workout
Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource

I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.

I've Adam Creen's post where he has collated all the practise papers for Edexcel that were made afterwards Paper 1. There's a lot to direct from! If you're AQA too then caput over to corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.

2. GCSE Workout
Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource

I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.

I've mentioned before that intermediate papers are a skillful source of GCSE practise questions, too it turns out that an intermediate inquiry from 1997 was reused inwards this year's Edexcel Paper 1 (both Foundation too Higher) - thank you lot to Jo Weaver for spotting this. This is something to acquit inwards heed for futurity years - old intermediate questions likely won't endure used again, but intermediate papers rest a helpful resources for GCSE students.

3. Parabolator
On the strange occasion that I brand my ain resources, I sometimes involve an online tool to sketch a uncomplicated graph. When I made my corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.

2. GCSE Workout
Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource

I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.

I've Problem Solving Resources page where you'll discovery like resources for both primary too secondary schoolhouse students.

Update
In example you lot missed them, hither are my recent posts:

• corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.
  
  
  2. GCSE Workout
  Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource
  
  
  
  I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.
  
  I've New Influenza A virus subtype H5N1 Level Timings
• corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.
  
  
  2. GCSE Workout
  Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource
  
  
  
  I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.
  
  I've #malcolmswanday
• corbettmaths.com for practise papers. Students should drib dead along to revise all topics, fifty-fifty if they appeared on Paper 1, but these resources are helpful for focusing specifically on topics that haven't even thus come upwards up.
  
  
  2. GCSE Workout
  Sticking amongst GCSE revision - a lot of people (including me) used @Adam SmithMaths' non-calculator Higher workout with their Year 11s the 24-hour interval earlier Paper 1. It took my students a skillful 45 minutes to complete, too uncovered a release of gaps inwards their knowledge. I've instantly made a reckoner version - you lot tin download this Higher GCSE workout from TES. Thanks to @onechriswhite who has made a helpful tip sheet to learn amongst this resource
  
  
  
  I've also created 2 shorter reckoner workouts. These are intended to endure used inwards pre-exam breakfast revision sessions too should each accept fifteen - thirty minutes. You tin download my breakfast workouts from TES.
  
  I've Calculators for the New Influenza A virus subtype H5N1 Level

Over the coming months I'll likely endure blogging a fair amount nigh preparing for the novel Influenza A virus subtype H5N1 level. As shortly equally I learn simply about gained fourth dimension it volition endure my principal focus. There's lots to create - schemes of work, resources, content splits too thus on. I'll endure preparing to instruct mechanics for the start fourth dimension too.

I'm speaking at 2 conferences inwards the coming months - #mathsconf10 inwards London too #mathsconf11 inwards Cardiff. Both are on Saturdays too exclusively damage £25 thus create come upwards along if you lot can. My workshops are business office of a novel serial of talks where I volition await inwards depth at specific topics, speaking nigh approaches, misconceptions too resources.

I volition also endure aid the JustMaths Conference on 27th June which I'm actually looking frontward to.

Tickets are currently on sale for my exciting summertime maths teachers' final result - depository fiscal establishment agree out summaths.weebly.com for details.

On my @Team_Maths1 trouble concern human relationship I've shared simply about classic resources over half-term, thus if you're on Twitter create depository fiscal establishment agree it out.

Finally, I'll exit you lot amongst a prissy puzzle shared by @solvemymaths via @sansu_original. I don't oftentimes brand fourth dimension to assay random maths puzzles but I had a quick learn at this too enjoyed it! What's the ratio AB:BC?

Knowledge Gaps

Last calendar week I watched a pupil instructor explicate two-way tables to a Year vii class. She gathered information from the pupils too drew a tabular array on the board. The immediate reaction from a break of students was to cry out, 'It's a Carroll diagram'. The instructor looked to me for confirmation - she'd never heard the term Carroll diagram earlier too therefore she didn't know how to respond.

The same matter happened to me inwards my NQT year. I introduced two-way tables to Year vii too a pupil said 'Miss, that's only a Carroll diagram. We learnt these at principal school'. I'd never heard of them, too therefore I googled the Definition inwards front end of the class. I found that Carroll diagrams are a type of two-way table. They organise information inwards the same way, but they exhibit the private pieces of data, rather than frequencies.

Neither Venn nor Carroll diagrams are specifically mentioned inwards the current Primary National Curriculum but it's probable that most children volition accept seen them at Key Stage 2. Students are required to "interpret too nowadays information using bar charts, pictograms too tables" too it seems that Carroll diagrams are usually taught here. But afterwards Key Stage 2 they are never seen again. I await that students notice it a fleck strange when their maths teachers aren't familiar amongst maths they've learnt at principal school. I wondered if there's anything else that gets lost inwards the primary-secondary transition.

Arrays
Last calendar week I delivered my start fortnightly 'More Able Maths' session at a local principal school. Initially I was expecting to live on working amongst Year 6, but instead I was assigned to a grouping of Year iii children, followed yesteryear a grouping of Year 4s. At start I wasn't certain what variety of matter to prepare, but I had approximately useful input from Twitter, summation my real helpful principal instructor friend Helen gave me loads of information, including her school's 'Pitch too Expectations' documents for Year iii too 4.

During my start session I was leading a give-and-take most foursquare too cube numbers when ane kid got stuck trying to think nine x 9. I asked if anyone could advise a expert means of working it out. One kid suggested drawing an array. Ah, an array... Now I know that arrays are all the rage inwards the U.S.A. of America because I run into them mentioned on Twitter quite often, but of a abrupt I wished I'd paid to a greater extent than attention. I think he meant that drawing nine rows of nine dots too counting them would live on ane means of working out nine x 9. We discussed to a greater extent than efficient alternatives, such equally nine x 10 - 9.

Back at school, I chatted to my colleagues most arrays. Arrays are used at principal schoolhouse equally a means of explaining the concepts of multiplication too division. Most of us don't role them at secondary schoolhouse because that agreement is good established yesteryear the fourth dimension students acquire to us, too to a greater extent than efficient methods accept been introduced. Even though it's unlikely I volition start using arrays inwards my teaching, I would produce goodness from finding out to a greater extent than most how they are used.

CPD Priorities
Realising that I accept gaps inwards my noesis of pre-secondary marking mathematics confirmed what I already knew - that I would produce goodness from spending fourth dimension at a principal school, observing too getting involved inwards the pedagogy of younger children. I'm certain this would live on beneficial to most secondary teachers, but our pedagogy commitments don't permit us the chance for this variety of CPD. Our timetables are such that nosotros rarely accept fourth dimension to educate our agreement of how children larn too what they learn. When nosotros produce acquire fourth dimension for dependent area noesis development, our priorities ofttimes prevarication elsewhere - for illustration I'm currently focusing on learning FP2 (which I'm pedagogy for the start fourth dimension this week) too learning to a greater extent than most the novel GCSE qualification. I'm lucky that my ain immature lady starts principal schoolhouse inwards September - I'm looking frontwards to seeing how she learns maths, I think it volition live on fascinating.

Knowledge Gaps

Last calendar week I watched a pupil instructor explicate two-way tables to a Year vii class. She gathered information from the pupils too drew a tabular array on the board. The immediate reaction from a break of students was to cry out, 'It's a Carroll diagram'. The instructor looked to me for confirmation - she'd never heard the term Carroll diagram earlier too therefore she didn't know how to respond.

The same matter happened to me inwards my NQT year. I introduced two-way tables to Year vii too a pupil said 'Miss, that's only a Carroll diagram. We learnt these at principal school'. I'd never heard of them, too therefore I googled the Definition inwards front end of the class. I found that Carroll diagrams are a type of two-way table. They organise information inwards the same way, but they exhibit the private pieces of data, rather than frequencies.

Neither Venn nor Carroll diagrams are specifically mentioned inwards the current Primary National Curriculum but it's probable that most children volition accept seen them at Key Stage 2. Students are required to "interpret too nowadays information using bar charts, pictograms too tables" too it seems that Carroll diagrams are usually taught here. But afterwards Key Stage 2 they are never seen again. I await that students notice it a fleck strange when their maths teachers aren't familiar amongst maths they've learnt at principal school. I wondered if there's anything else that gets lost inwards the primary-secondary transition.

Arrays
Last calendar week I delivered my start fortnightly 'More Able Maths' session at a local principal school. Initially I was expecting to live on working amongst Year 6, but instead I was assigned to a grouping of Year iii children, followed yesteryear a grouping of Year 4s. At start I wasn't certain what variety of matter to prepare, but I had approximately useful input from Twitter, summation my real helpful principal instructor friend Helen gave me loads of information, including her school's 'Pitch too Expectations' documents for Year iii too 4.

During my start session I was leading a give-and-take most foursquare too cube numbers when ane kid got stuck trying to think nine x 9. I asked if anyone could advise a expert means of working it out. One kid suggested drawing an array. Ah, an array... Now I know that arrays are all the rage inwards the U.S.A. of America because I run into them mentioned on Twitter quite often, but of a abrupt I wished I'd paid to a greater extent than attention. I think he meant that drawing nine rows of nine dots too counting them would live on ane means of working out nine x 9. We discussed to a greater extent than efficient alternatives, such equally nine x 10 - 9.

Back at school, I chatted to my colleagues most arrays. Arrays are used at principal schoolhouse equally a means of explaining the concepts of multiplication too division. Most of us don't role them at secondary schoolhouse because that agreement is good established yesteryear the fourth dimension students acquire to us, too to a greater extent than efficient methods accept been introduced. Even though it's unlikely I volition start using arrays inwards my teaching, I would produce goodness from finding out to a greater extent than most how they are used.

CPD Priorities
Realising that I accept gaps inwards my noesis of pre-secondary marking mathematics confirmed what I already knew - that I would produce goodness from spending fourth dimension at a principal school, observing too getting involved inwards the pedagogy of younger children. I'm certain this would live on beneficial to most secondary teachers, but our pedagogy commitments don't permit us the chance for this variety of CPD. Our timetables are such that nosotros rarely accept fourth dimension to educate our agreement of how children larn too what they learn. When nosotros produce acquire fourth dimension for dependent area noesis development, our priorities ofttimes prevarication elsewhere - for illustration I'm currently focusing on learning FP2 (which I'm pedagogy for the start fourth dimension this week) too learning to a greater extent than most the novel GCSE qualification. I'm lucky that my ain immature lady starts principal schoolhouse inwards September - I'm looking frontwards to seeing how she learns maths, I think it volition live on fascinating.

Calculator Woes

One of the Year xi classes I learn is what nosotros telephone phone a withdrawal group. They all got a Grade 0 inward their Higher GCSE mock dorsum inward Nov thus nosotros moved them to Foundation tier. This was definitely the right decision. I learn them for 2 double periods a week. The pupils inward this detail grouping are really complex. Trying to learn them has been the most challenging affair I receive got e'er done. I'm crossing my fingers that they all larn a Grade iv this summer.

Last calendar week I attempted to engage this bird inward a revision lesson amongst ane of the revision mats I of late made. This required calculators, which I lent them. This detail revision mat was deliberately designed to seat gaps inward their noesis of how to work basic information processor functions. I really chop-chop discovered that at that topographic point were indeed many gaps. In this post I promise to assist teachers of similar GCSE classes live on aware of things to hold off out for together with address.

The outset enquiry to displace me occupation organization was this ane on multiplying fractions:

The respond they wrote downward was 4.2. There are 2 worrying things well-nigh this: 

1. that they don't recognise that the respond should live on greater than 21 (an expanse model would live on a expert way to demonstrate this)
2. after almost v years of using calculators at secondary school, they don't know where the mixed number primal is. 

Their respond of 4.2 came from them inputting the fraction ½ together with and then using the cursor to displace dorsum together with lay a 3 inward front end of it. The information processor sees this every bit 3 x ½ rather than the intended 3 + ½. 

In this province (though patently non all others), writing 3½ means 'three together with a half' together with nosotros telephone phone it a 'mixed number' - I'm pretty certain my pupils know this much. But when I went circular together with corrected each of them individually they all swore blind that they had never earlier been shown the mixed number button.

Now, I receive got been didactics teenagers long plenty to know that the former 'we've never been taught this' line is unremarkably nonsense. However inward this instance it may good live on true. When nosotros learn fraction arithmetics nosotros practise thus inward lessons that deliberately don't involve calculators. So unless these pupils receive got had a 'calculator skills' lesson together with then perhaps they haven't been shown it.

The instant enquiry to displace me occupation organization was this one:

Thankfully all but ane pupil wrote downward the right respond without using a information processor because they receive got some agreement of house value (phew!). The pupil who got it wrong wrote ane seventh. 

He could receive got typed 7% inward his information processor together with and then pressed the S-D push together with it would receive got done it for him. The pct push exactly divides past times 100. It's null particular but it's at that topographic point if they demand it. For example, recollect well-nigh the diverse ways to practise this question: 

We know that the most efficient affair to type into your information processor is 43 x 1.16. If pupils are non au fait amongst multipliers together with then peradventure they tin give notice type 16% x 43 instead, making work of the pct button, together with and then add together their respond to 43.

Do they practise this? Hell no. Interestingly this is a theme where most students working at Grades 1 - 3 are really expert at non-calculator methods. They volition receive got done a lot of piece of work on using multiplicative reasoning to uncovering 10%, 5% together with 1%. I'm super pleased that they tin give notice practise this, but it's frustrating to encounter them work this method when they receive got a information processor at their disposal.

The side past times side enquiry that alerted me to a noesis gap was this one:

There were 2 issues here: 1. non knowing where the cube root push is (I've known pupils to practise 3√64 inward the past) together with 2. non next the enterprise of operations. Some of them wrote xv x 4, having worked out the cube root of 64 on their information processor afterwards quest me the whereabouts of the button. I reminded them that their information processor has 'been taught the enterprise of operations together with understands it well', thus nosotros tin give notice trust it to correctly evaluate the multiplication outset if nosotros type inward the whole calculation inward ane go. The job of course of report comes amongst something similar this:

In this instance the information processor does indeed follow the enterprise of operations, thus if you lot type -3² together with then it volition correctly foursquare the 3 earlier multiplying it past times negative one. But of course of report that's non what nosotros wanted it to do. So if nosotros insist on squaring negative 3 using a calculator, together with then nosotros must lay it inward brackets. In fact if using a information processor I'd advise putting all substituted values inward brackets ie typing inward 5(-3)² -2(-3). I'd prefer to encounter this ane done without a information processor actually though. 

Evaluating the foursquare of a negative incorrectly using a information processor is a job that persists. We know that GCSE students brand this error all the fourth dimension when asked to plot quadratic graphs. They goal upward amongst weird looking 'parabolas'. I remind them that they know they've gone wrong if their graph isn't symmetrical. Pupils must work brackets if they work a information processor to foursquare a negative! I experience similar I've said this a ane K k times together with I volition proceed maxim it until I'm blueish inward the face. 

The side past times side enquiry is ane that I deliberately included inward the resources to describe my pupils' attending to a useful information processor button. In my enquiry well-nigh prime numbers, most of them assumed that 51 is prime. I pointed out that using the FACT push volition present the prime factorisation of that number, which is rather exciting.  If they're asked to write a number every bit a production of primes it volition likely live on inward the non-calculation paper, but it's notwithstanding helpful to know this function. It gave me the chance to receive got a helpful conversation amongst my pupils well-nigh what prime numbers are. 

I recollect they were impressed past times this button. 'This push is peng, fam'.

I had shown them it before, dorsum inward January. I'd also shown them the push they tin give notice work for fourth dimension conversions. They were impressed together with then too, but had clearly forgotten all well-nigh these buttons which is unfortunate.

The concluding enquiry of involvement is this ane on criterion form.

Like fractions, criterion shape is ofttimes taught inward a non-calculator context. And fifty-fifty if nosotros receive got a calculator, it doesn't assist us convert betwixt criterion shape together with ordinary numbers. However, if we're asked to work criterion shape inward a calculation together with nosotros receive got a information processor to hand, it mightiness live on helpful to know how to work the x10^x button. 

On reflection, this resources ended upward existence to a greater extent than than exactly a revision mat. It helped me seat together with address meaning gaps inward information processor knowledge, albeit much to a greater extent than in conclusion infinitesimal than I would receive got liked. They should receive got been using these buttons for years. 

I should bring upward that when I took on this bird at Christmas at that topographic point were fifty-fifty to a greater extent than gaps inward their information processor knowledge. At outset they weren't making work of the Ans button. Plus, to practise nation 5.7² they would type 5.7 x 5.7 because they didn't know well-nigh the x² button. So nosotros receive got made some progress. 

Ironically, every bit they left the classroom I reminded them that they should select compasses together with a protractor to their maths seek together with they told me that they don't demand to because it is all provided for them inward a pencil case. 'Oh. In that instance exactly brand certain you lot select your calculator. It has to live on the ane you've been using for the in conclusion v years - the ane you lot know how to use'. 'Nah lady friend - they furnish calculators too, we'll exactly work whatever they give us'. 

*******

This lesson got me thinking. I receive got a feeling that many schools don't practise plenty amongst calculators. In every schoolhouse where I've taught Year 7 nosotros haven't used calculators at all for the entire twelvemonth - this is such a shame when at that topographic point are many opportunities to explore together with brand sense of numbers inward Year 7 using calculators. Also, although nosotros demand to construct fluency amongst arithmetics inward Year 7, I am convinced nosotros should allow calculators for topics such every bit angles. It makes sense, together with pupils similar it.

Pupils demand to live on explicitly shown how to work their calculators throughout secondary schoolhouse - I recollect that teachers ofttimes assume pupils already know the head keys. We demand to deport inward heed that much of it may non live on obvious to a novice.

If you lot currently learn Year vi or Year 7 together with then you lot mightiness desire your bird to receive got constituent inward MEI's Calculator Crunch inward June. In this challenge at that topographic point volition live on nine daily problems to solve using a calculator. MEI volition live on providing 2 lesson plans too.

There are lots of fun 'know your calculator' activities inward my resources library. These are great, but nosotros must brand certain that information processor work is embedded throughout the topics nosotros learn too, non exactly covered separately. I'm certain that some schools already practise this actually well.

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Note that the information processor pictures inward this post are from my 'peng' Casio fx-83GTX which was kindly given to me past times Science Studio (and engraved amongst Mrs Morgan, which I love!). The buttons I've featured are inward the same seat on the Casio fx-83GT together with fx-85GT (the ubiquitous calculators inward the electrical current Year xi cohort).

Calculator Woes

One of the Year xi classes I learn is what nosotros telephone phone a withdrawal group. They all got a Grade 0 inward their Higher GCSE mock dorsum inward Nov thus nosotros moved them to Foundation tier. This was definitely the right decision. I learn them for 2 double periods a week. The pupils inward this detail grouping are really complex. Trying to learn them has been the most challenging affair I receive got e'er done. I'm crossing my fingers that they all larn a Grade iv this summer.

Last calendar week I attempted to engage this bird inward a revision lesson amongst ane of the revision mats I of late made. This required calculators, which I lent them. This detail revision mat was deliberately designed to seat gaps inward their noesis of how to work basic information processor functions. I really chop-chop discovered that at that topographic point were indeed many gaps. In this post I promise to assist teachers of similar GCSE classes live on aware of things to hold off out for together with address.

The outset enquiry to displace me occupation organization was this ane on multiplying fractions:

The respond they wrote downward was 4.2. There are 2 worrying things well-nigh this: 

1. that they don't recognise that the respond should live on greater than 21 (an expanse model would live on a expert way to demonstrate this)
2. after almost v years of using calculators at secondary school, they don't know where the mixed number primal is. 

Their respond of 4.2 came from them inputting the fraction ½ together with and then using the cursor to displace dorsum together with lay a 3 inward front end of it. The information processor sees this every bit 3 x ½ rather than the intended 3 + ½. 

In this province (though patently non all others), writing 3½ means 'three together with a half' together with nosotros telephone phone it a 'mixed number' - I'm pretty certain my pupils know this much. But when I went circular together with corrected each of them individually they all swore blind that they had never earlier been shown the mixed number button.

Now, I receive got been didactics teenagers long plenty to know that the former 'we've never been taught this' line is unremarkably nonsense. However inward this instance it may good live on true. When nosotros learn fraction arithmetics nosotros practise thus inward lessons that deliberately don't involve calculators. So unless these pupils receive got had a 'calculator skills' lesson together with then perhaps they haven't been shown it.

The instant enquiry to displace me occupation organization was this one:

Thankfully all but ane pupil wrote downward the right respond without using a information processor because they receive got some agreement of house value (phew!). The pupil who got it wrong wrote ane seventh. 

He could receive got typed 7% inward his information processor together with and then pressed the S-D push together with it would receive got done it for him. The pct push exactly divides past times 100. It's null particular but it's at that topographic point if they demand it. For example, recollect well-nigh the diverse ways to practise this question: 

We know that the most efficient affair to type into your information processor is 43 x 1.16. If pupils are non au fait amongst multipliers together with then peradventure they tin give notice type 16% x 43 instead, making work of the pct button, together with and then add together their respond to 43.

Do they practise this? Hell no. Interestingly this is a theme where most students working at Grades 1 - 3 are really expert at non-calculator methods. They volition receive got done a lot of piece of work on using multiplicative reasoning to uncovering 10%, 5% together with 1%. I'm super pleased that they tin give notice practise this, but it's frustrating to encounter them work this method when they receive got a information processor at their disposal.

The side past times side enquiry that alerted me to a noesis gap was this one:

There were 2 issues here: 1. non knowing where the cube root push is (I've known pupils to practise 3√64 inward the past) together with 2. non next the enterprise of operations. Some of them wrote xv x 4, having worked out the cube root of 64 on their information processor afterwards quest me the whereabouts of the button. I reminded them that their information processor has 'been taught the enterprise of operations together with understands it well', thus nosotros tin give notice trust it to correctly evaluate the multiplication outset if nosotros type inward the whole calculation inward ane go. The job of course of report comes amongst something similar this:

In this instance the information processor does indeed follow the enterprise of operations, thus if you lot type -3² together with then it volition correctly foursquare the 3 earlier multiplying it past times negative one. But of course of report that's non what nosotros wanted it to do. So if nosotros insist on squaring negative 3 using a calculator, together with then nosotros must lay it inward brackets. In fact if using a information processor I'd advise putting all substituted values inward brackets ie typing inward 5(-3)² -2(-3). I'd prefer to encounter this ane done without a information processor actually though. 

Evaluating the foursquare of a negative incorrectly using a information processor is a job that persists. We know that GCSE students brand this error all the fourth dimension when asked to plot quadratic graphs. They goal upward amongst weird looking 'parabolas'. I remind them that they know they've gone wrong if their graph isn't symmetrical. Pupils must work brackets if they work a information processor to foursquare a negative! I experience similar I've said this a ane K k times together with I volition proceed maxim it until I'm blueish inward the face. 

The side past times side enquiry is ane that I deliberately included inward the resources to describe my pupils' attending to a useful information processor button. In my enquiry well-nigh prime numbers, most of them assumed that 51 is prime. I pointed out that using the FACT push volition present the prime factorisation of that number, which is rather exciting.  If they're asked to write a number every bit a production of primes it volition likely live on inward the non-calculation paper, but it's notwithstanding helpful to know this function. It gave me the chance to receive got a helpful conversation amongst my pupils well-nigh what prime numbers are. 

I recollect they were impressed past times this button. 'This push is peng, fam'.

I had shown them it before, dorsum inward January. I'd also shown them the push they tin give notice work for fourth dimension conversions. They were impressed together with then too, but had clearly forgotten all well-nigh these buttons which is unfortunate.

The concluding enquiry of involvement is this ane on criterion form.

Like fractions, criterion shape is ofttimes taught inward a non-calculator context. And fifty-fifty if nosotros receive got a calculator, it doesn't assist us convert betwixt criterion shape together with ordinary numbers. However, if we're asked to work criterion shape inward a calculation together with nosotros receive got a information processor to hand, it mightiness live on helpful to know how to work the x10^x button. 

On reflection, this resources ended upward existence to a greater extent than than exactly a revision mat. It helped me seat together with address meaning gaps inward information processor knowledge, albeit much to a greater extent than in conclusion infinitesimal than I would receive got liked. They should receive got been using these buttons for years. 

I should bring upward that when I took on this bird at Christmas at that topographic point were fifty-fifty to a greater extent than gaps inward their information processor knowledge. At outset they weren't making work of the Ans button. Plus, to practise nation 5.7² they would type 5.7 x 5.7 because they didn't know well-nigh the x² button. So nosotros receive got made some progress. 

Ironically, every bit they left the classroom I reminded them that they should select compasses together with a protractor to their maths seek together with they told me that they don't demand to because it is all provided for them inward a pencil case. 'Oh. In that instance exactly brand certain you lot select your calculator. It has to live on the ane you've been using for the in conclusion v years - the ane you lot know how to use'. 'Nah lady friend - they furnish calculators too, we'll exactly work whatever they give us'. 

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This lesson got me thinking. I receive got a feeling that many schools don't practise plenty amongst calculators. In every schoolhouse where I've taught Year 7 nosotros haven't used calculators at all for the entire twelvemonth - this is such a shame when at that topographic point are many opportunities to explore together with brand sense of numbers inward Year 7 using calculators. Also, although nosotros demand to construct fluency amongst arithmetics inward Year 7, I am convinced nosotros should allow calculators for topics such every bit angles. It makes sense, together with pupils similar it.

Pupils demand to live on explicitly shown how to work their calculators throughout secondary schoolhouse - I recollect that teachers ofttimes assume pupils already know the head keys. We demand to deport inward heed that much of it may non live on obvious to a novice.

If you lot currently learn Year vi or Year 7 together with then you lot mightiness desire your bird to receive got constituent inward MEI's Calculator Crunch inward June. In this challenge at that topographic point volition live on nine daily problems to solve using a calculator. MEI volition live on providing 2 lesson plans too.

There are lots of fun 'know your calculator' activities inward my resources library. These are great, but nosotros must brand certain that information processor work is embedded throughout the topics nosotros learn too, non exactly covered separately. I'm certain that some schools already practise this actually well.

*******

Note that the information processor pictures inward this post are from my 'peng' Casio fx-83GTX which was kindly given to me past times Science Studio (and engraved amongst Mrs Morgan, which I love!). The buttons I've featured are inward the same seat on the Casio fx-83GT together with fx-85GT (the ubiquitous calculators inward the electrical current Year xi cohort).