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Before lesson: The teacher will make the best use of their time in the first two lessons, by doing assessment during this lesson, since no new teaching is taking place. Hence create 2 3 assignments per learner (one variable length and one standard length) , ready for the first lesson (and we have no idea of the learners pace of learning).
In the lesson You will need your android device. Pep talk - see above and
Give out the 8Q assignment (today’s date) and sort the Saturday and Sunday assessments by first name (to make it easier to find them). Keep a list of all the Saturday assignments you give out. TOP TIP keep 3 piles of assignments today’s/Saturday/Sunday (with the assessed assignments at the back). Once learners ask for a second assignment, the teacher can begin to assess these assignments (on the android device, remember tap with your non-writing hand and tick/bell with your writing hand). |
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Before lesson: Time spent getting the learners pace for practice (P4P)approximately correct is worthwhile and making sure learners complete a recently created assignment every lesson, will make planning easier and teaching more efficient.
In the lesson Explaining the purpose of the second lesson - finding more about what learners know in the topic theme FDPR (fraction, decimal, percentage ratio) + doing revision - so that the teacher can teach on firm learning foundations and the timely practice app can ensure that learners retain their learning. Ask some questions, “hands up if you…”
Reassure this is what you expect. Continue to explain: “If you answered a question correctly last lesson, you will get a similar question to answer this lesson (or next), which will help the timely practice app be sure of what skills you already know of on a topic. Next lesson I (your teacher) will start using this data to make teaching and learning easier” Show the decimalFraction dashboard, explain that the learners are anonymised and you won’t be saying who is which letter, but they can see what the app has found out so far about the class' learning on the topics (low number = easier, high number = harder; white = needs to learn, grey = might need to learn). Explain that next lesson, when you look again, there may be some blue squares = the app has found out all the skills the learner has already learned and remembered on the topic. Learners should start with the assignment dated today (except absent learners, who will start with the L1 8Q assignment). The teacher may want to cross off out from the table, assignments that they assess during the lesson from the table. |
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Before lesson:
5. Prepare teaching of decimalFraction by taking a new snapshot of decimalFraction dashboard (see Plan Teaching).
If there are any learners who won’t be learning decimalFraction layer 1 or 2
6. If the learner
7. Create the assignments
In the lesson Show the snapshot of decimalFraction dashboard to the class - explain what it shows (as above if layer 1 is: white - learn layer 1, blue learn layer 2, grey do more pre assess). Explain that the app is continuing to build up information for other topics every time the teacher assesses the assignments and that the class is likely to learn this topic three times during the year, so learners who were absents for a pre assess lesson, or who need to do more pre assess will learn more on this topic next term if not before. Give out assignments to those who won’t be learning layer 1 or 2 and mini-white boards and pens to those that will. Encourage learners with assignments to ignore the teaching, if they can. Teach layer 1 and give out the practise-learn worksheet for layer 1 (to the appropriate learners) and continue to teach layer 2 to those who are to learn layer 2. Encourage imagining shading in a 100 square to help them if they get stuck - perhaps cut up some 2cm graph paper which they can use as an aid memoire. Ask learners to ask for the answers when they have finished their worksheet, self-assess and then continue with their assignments as before. During the second part of the lesson, the teacher is likely to have time to assess some completed assignments, remember to cross them off from the table. |
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Before lesson
In the lesson Show the snapshot of decimalXdiv dashboard to the class - explain what it shows (as above if layer 7 is: white - learn layer 7, blue: learn layer 8 (or harder), dark grey: do more pre assess). Explain that the app is continuing to build up information for other topics every time the teacher assesses the assignments and that the class is likely to learn this topic 2 to 3 times during the year, so learners who were absents for a pre assess lesson, or who need to do more pre assess will learn more on this topic this year. Give out assignments to those who won’t be learning decimalXdiv and mini-white boards and pens to those that will. Encourage learners with assignments to ignore the teaching, if they can. Teach layer 7 and give out the practise-learn worksheet for layer 7 (to the appropriate learners) and continue to teach layer 8 or higher to those who are to learn layer 8 or higher. Encourage writing out all steps e.g. 7 x 6 = 42; 0.7 x 6 = 4.2; 0.07 x 6 = 0.42 etc Ask learners to ask for the answers when they have finished their worksheet, self-assess and then continue with their assignments as before. During the second part of the lesson, the teacher is likely to have time to assess some completed assignments, remember to cross them off from the table. |
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Before the lesson:Think back - did any learner’s complete their assignment annoyingly early? - Look at the last page of each weekday assignment, did the learner
Did any learners do some work on their (weekend dated) Spare Assignment?
Decide on the lesson focus: This lesson and lesson 6 can be tricky: ideally the teacher will continue to teach some new learning, but sometimes, especially if poor attendance is an issue, allocating lesson 5 to completing assignments and doing no new teaching will make
The best topic to teach this lesson is the topic with the highest proportion of blue/white/very light grey showing and the lowest proportion of darker grey/swirling blue circle showing. FDPR topics likely to be ready to teach to the class are:
Also why not look at these algebra topics which might be ready (because most learners may not know much/anything/much, so pre assess can be very quick)
If the teacher is going to
In the lesson with no new teaching: Start with a timely practice assignment, as learners enter welcome them, indicate their assignment and say that a timer will go off half way through the lesson. When the timer goes off, ask learners to put down their pens, they will be able to continue in a little while. Engage the class in questions about pre assess e.g. hands up if you had (or point to on the a page to)
Ask if learners are finding their questions
Then ask learners to see how much many of the remaining questions in their assignment they can finish before the end of the lesson. In the lesson with new teaching: It is helpful to split the lesson into a sandwich: start with timely practice, do the teaching, continue with timely practice. If the topic you will teach has a large spread of attainment, you may like to make the lesson into a club sandwich: timely practice, teach some learners, timely practice, teach other learners, timely practice/practise-learn worksheets. |
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Layer 3 is the most critical layer - do learners know how to write a fraction, from a diagram? Learners who don’t know how to do this, should probably be taught in a small group (but there is no reason, why they can’t “watch” the teaching of layer 4 or higher layers). Some learners can answer questions on harder layers, but not layer 3 (because they confuse the standard fraction notation, with e.g. a “bookies way of describing fractions e.g. 1/3 (1 to 3) writing 2/3 instead of 12/4”5”), learning layer 3 is, in these cases, even more important. |
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Many learners can answer layer 3 questions, without knowing why, but this can be addressed through learning layers 4 and abovethink aloud or asking probing questions when teaching other layers. In the very unlikely event that a learner has mastered layers 1 to 7 but (this is unlikely for learners below the 15th percentile) there is a problem because simplestForm has not been pre assessed, you may want its easiest to not teach this topic to these few learners, or you may want to add simplestForm to the SOL and return to teach this topic laterthis/these learner(s). |
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Focus on correctly repeating “we say nought point four three, which is forty three hundredths” when a learner says “nought point forty three”, but otherwise don’t be worried about place value for this topic, it will be dealt with in decimalFraction and numberDIV10etc |
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With timely practice this is “just as hard to teach a spread of attainment” as with traditional maths teaching, but with timely practice the learning will stick, so each cycle of the curriculum this will get easier. The teacher might like to teach
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With timely practice this is “just as hard to teach a spread of attainment” as with traditional maths teaching, but with timely practice the learning will stick, so in each cycle of the curriculum this will get easier. The teacher might like to teach fractionOF which is halfOF in one lesson and fractionOF layers 10, 11 and 16 in a different lesson. There are likely to be some learners who have several “firm learning foundations, so it might be sensible to avoid teaching 10, 11 and 16 for the first curriculum spiral. |
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Learners below the 15 percentile often haven’t retained learning on this topic, so it can be really quick to pre assess, hence its suggested as lesson 1. Layer 1 is easy to learn, and learners are often engaged by the concept that “mathematicians are so lazy they can’t be bothered to write 2 x p so they miss out the times sign” concept. |
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This is deliberately made simple in layer 1 - learners don’t need to plot coordinates, nor continue tables of values - they merely need to draw a line segment through the given points across the full width of the graph paper. So don’t discount this topic as “too hard”. For layer 2, the learner doesn’t need to be able to plot coordinates, better that they use “go right one square and up (or down) … squares”. This helps the learner to get a natural sense of gradient, and find errors in their plotting of graphs later. |
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This helps learners get a sense of negative number, so is valuable to introduce early onteach this topic. |
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With timely practice this is “just as hard to teach a spread of attainment” as with traditional maths teaching, but often there isn’t a wide spread of attainment. (The teacher can remember that with timely practice the learning will stick, so each cycle of the curriculum, teaching this topic will get easier), in the below 15th percentile classes. The teacher might like to teach layer 1 to the whole class (or all the class that haven’t yet mastered layer 4) as
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This topic may take some time to pre assess completely, hence teacher will probably want to leave this topic until most other algebra topics are taught. Teaching simplifySD may muddle some learners with their recently learned simplifyPQ skill - if this happens - its best to remove the simplifySD layer, as simplifyPQ has many more layers than simplifySD. |
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This topic may take some time to pre assess completely, hence teacher will probably want to leave this topic until most other algebra topics are taught. With timely practice this is “just as hard to teach a spread of attainment” as with traditional maths teaching, but often there isn’t a wide spread of attainment. (The teacher can remember that with timely practice the learning will stick, so each cycle of the curriculum, teaching this topic will get easier). If there is a wide spread of attainment, it may be easier to teach to groups at their table or clustered around a flip chart, rather than teaching to the whole class. FYI If learners have mastered layer 2 and layer 4, no need to teach layer 3. |
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If everyone is still doing pre asses, select a teaching order which maximises topics where most learners are pre assessed
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There may be quite a bit of shame attached to not being able to do these skills. The first 3 layers, avoid the learner having to place the ruler accurately, so make good scaffold to layer 5. |
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Have tracing paper ready + be ready to show how to use it (using a flip chart rather than a whiteboard may help). Share strategies on how to tell left from right? The common misconception is counting the squares between the two shapes. |
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| Have tracing paper ready.
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Have tracing paper ready + be ready to show how to use it (using a flip chart rather than a whiteboard may help). Encourage slowly turning the page to check if diagrams are correct |
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Perhaps start with practise-learn layer 1 worksheet as a warm up? Make sure you pronounce the shape names, and then get learners to parrot them back. |
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It is quite helpful if only the lowest attaining learners are learning volume together, as far more learners than one expects don’t know how to visualise in 3D given from an isometric drawing. Having multlink available and colouring the cubes in the diagram to match might help. |
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FYI perimeter is saved for next term. There are a number of layers building up to “area of rectangle = width** times height”, this is partly because low attaining learners don’t know many times table facts, but also IMHO one can’t remain a low attaining learner if one can use the power of multiply (and v.v.) ** FYI I find that using the word length times width adds unnecessary confusion for many learners, as it muddles with width, depth and height measurements of furniture and the generic us of length. |
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It is quite helpful if only the lowest attaining learners are learning layer 1 and 2 without teaching harder layers - using scale factor has a high working memory load, so encourage learners to show their workings out. |
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Have tracing paper ready + be ready to show how to use it (using a flip chart rather than a whiteboard may help). |
Topic Themes: Probability/Statistics and Integer
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Primary schools are generally excellent at teaching this, so if there are problems with this skill - the small bite approach will hopefully help fix them. |
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Sorry this topic isn’t well developed, but the 2 layers that currently exist are really helpful for improving place value skills. Please do request extra layers from this topic, or the easier topic place1value99 and the harder topic place10000valueUP |
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