Classifying Real Numbers Worksheet

Published 20 September 2021

Mathematicians are alluring bodies – they apprehension patterns, accomplish access and actualize solutions based on research. Without mathematicians, area would we be today? We absolutely wouldn’t accept computers, skyscrapers or alike basal ability of the accustomed world.

Thinking like a mathematician is absolutely a able accomplishment that we can all learn, which is why Cambridge International added an aspect to its Cambridge Primary and Lower Secondary Mathematics chic frameworks to advice acceptance do aloof that. It is alleged Thinking and Animate Mathematically (TWM).

If you are not accustomed with TWM, again you can analysis out our antecedent blog on the 8 TWM characteristics. For those of you who would like to jump in and see what these activities attending like in practice, you’re in luck! In this blog, you’ll acquisition activities from our primary mathematics alternation Stages 1 and 2. Anniversary one helps acceptance practise and advance TWM skills. Download them beneath and try them with your class.

Download specialising worksheet

Learner’s book 2, action 5

This assignment develops learners’ acquaintance of the anatomy of the 100 aboveboard and challenges them to both add and decrease tens and ones from the numbers aural it. The final allotment of the action gives learners the befalling to specialise (TWM.01) as they acquisition examples that amuse the criteria. This action relates to acquirements cold 2Ni.04 (Estimate, add, decrease accomplished numbers with up to two digits (no regrouping of ones or tens).

Possible access

For these activities, aboriginal accomplish abiding that there are no 100 squares displayed about the classroom. Introduce the assignment by assuming the accomplished chic a baby area of a 100 aboveboard with all of the numbers abounding in.

Ask learners to allocution to their accomplice about the patterns that they notice. Back learners allotment their account with the class, alert them to ask any questions that they ability accept about the anatomy of a 100 square. Affectation a baby area of a 100 aboveboard with missing numbers, and accommodate time for learners to altercate this with their partners. Can anyone explain how they apperceive which numbers are missing? What patterns in the 100 aboveboard did you use to acquisition the missing numbers?

Give learners some time to assignment calm in pairs. Encourage them to altercate their account with anniversary other, answer how they apperceive what the missing numbers will be. Bring the chic aback calm for a mini absolute and alert learners to explain how the missing numbers can be begin in altered ways.

Finally, accommodate time for learners to assignment calm on the aftermost square. If any learners do not apprehension the appropriate property, assignment with them to advice them see that the cardinal in the top bend has antipodal digits from the cardinal in the basal corner. For the plenary, ask learners to allotment the grids they begin with this property. What do all of these grids accept in common? Some learners ability apprehension that the chiffre changeabout happens in grids area the askew is the aforementioned askew as the 100 aboveboard (e.g. with 11, 22, 33, 44, 55 as the diagonal). Why does this happen?

Key questions

Possible abutment

Some learners will account from accepting a 100 aboveboard in advanced of them and you allurement them to acquisition accurate numbers in the 100 square. If learners charge added support, alert them to calculation on or aback from 1 or 10 and again ask if they can see a quicker way of animate that out. For example, learners can calculation on ten to assignment out 27 10 = 37 and again they ability apprehension that the tens chiffre has added by one, and the new cardinal is one row bottomward in the 100 square.

Possible addendum

Encourage learners to draw a new ‘square’ from 1 to 99 with alone nine numbers action beyond in anniversary row instead of ten. What patterns do they apprehension now?

Download the characterising and classifying worksheet

Learner’s book 1, exercise 15.1

Ask learners to assignment out their age in years and months. Learners usually apperceive how abounding years old they are. They will charge to assignment out how abounding months they accept been alive.

Learners will be characterising their age, putting it into the aforementioned architecture as Zara’s so that they can compare. We again ask learners to analyze with Zara, who is 6 years and 3 months old, classifying themselves as earlier or adolescent than her or conceivably alike the aforementioned age as her. Some learners may be able to extend the classifying to draw up a account of those who are adolescent than Zara and those who are older. They will be generalising the repeating adjustment of the months of the year and specialising to acquisition out their own age.

Learners will additionally be characterising their age, putting it into the aforementioned architecture as Zara’s so that they can compare. We again ask learners to analyze with Zara, who is 6 years and 3 months old, classifying themselves as earlier or adolescent than her or conceivably alike the aforementioned age as her. Some learners may be able to extend the classifying to draw up a account of those who are adolescent than Zara and those who are older.

Download the conjecturing and acceptable worksheet

Learner’s book 1, action 1

This assignment provides opportunities for learners to advance accent to call and analyze (in particular) breadth and thickness, and to acquisition altered means of barometer these two attributes. Alert learners to accomplish conjectures afore the action begins. They can ten advance their acumen abilities in adjustment to argue others.

Possible access

Begin by agreeable learners to actualize their own snake application their best of abstracts (within reason!). You may ambition to accumulate a alternative of paper, card, ribbon, dough, aqueduct cleaners, cubes, glue, tape, etc. for this purpose.

Try not to say too abundant by way of addition so that learners accept the abandon to adjudge how their snake will attending and to actualize it in whatever way they choose. You may ambition to accord them some time to accede how they will accomplish it afore you accord them the materials.

It ability be account allurement a few learners to allotment their affairs with the accomplished chic afore anybody begins the applied aspect of the task, as this may abutment those who are disturbing for ideas.

As the learners complete their snakes, ask them to sit in pairs or baby groups. Allure anniversary abecedarian to acquaint the others about their snake, again affectation the questions in the learner’s book:

As you broadcast annular the room, attending out for those learners who are answer their conjectures, for example, by anxiously lining up snakes to analyze lengths, or by application cubes to admeasurement lengths of alone snakes.

In the plenary, you could ask some learners to allotment their means of acceptable others. You could address up their justifications and affectation them in the classroom forth with the snakes.

Key questions

Possible abutment

Some learners may charge advice chief how to actuate whether one snake is longer/thicker than another, decidedly if the two are absolutely similar. If this is the case, you could allure addition abecedarian or accumulation to appearance them what they accept found.

Possible extension

You could claiming learners to band up the snakes in adjustment of length/thickness. You could additionally allure them to accomplish a longer/shorter/thinner/thicker snake than any in the set so far.

Download the classifying worksheet

Learner’s book 1: exercise 14, catechism 5

This assignment provides opportunities for learners to practise application accepted words to call data, including ‘more’, ‘less’, ‘most’ or ‘least’. Learners will be characterising and classifying as they analyze and array animals to acquisition out how abounding altered pets there are.

Lists and tables can be ambagious and some learners may not bethink which is which. However, if you address a continued account with the chic and articulation the alpha complete of account and long, they complete the same.

This will be remembered, abnormally if you accomplish a continued account with fun items that the chic can chronicle to. Block graphs could be fabricated application absolute blocks afore the chic see ones printed. This will reinforce the chat ‘block’ back actuality asked to complete a block graph. Consistently accomplish access amid the words and real-life examples that learners can chronicle to.

Block graph: a blueprint that is fabricated application blocks, with anniversary block represents the aforementioned bulk of something

List: a almanac of abbreviate pieces of advice usually abiding one beneath the added so that they can be apprehend calmly or counted

Table: an adjustment of facts and numbers in rows or blocks

Download the critiquing and convalescent worksheet

Learner’s book 2, exercise 1.3

Zara asks learners whether it is always, sometimes or never accurate that they alone charge to attending at tens of numbers. Zara is absolutely alms learners three hardly altered conjectures.

Learners will charge to investigate comparing and acclimation numbers to adjudge which, if any, of the conjectures they accede with. By aggravating to argue themselves that one of the conjectures is true, learners may ascertain that the assumption is incorrect. This is critiquing and improving.

When learners accept accomplished a conclusion, ask them to explain how they apperceive they are correct. This will accord you the befalling to appraise what the learners anticipate is abundant to argue themselves and you.

If you accept enjoyed these activities, you can acquisition the added in our Cambridge Primary and Lower Secondary Mathematics resources.

To acquisition out how you can advice your acceptance anticipate like mathematicians, go to our hub folio and analysis out our learner’s books, workbooks and teacher’s resources.

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