In samewerking met LeadSA
nooi ons alle leerders, ouers en onderwysers uit
In collaboration with LeadSA
we invite all learners, parents and teachers
om ons Hoofrekenprogram plus aanlynoefeninge gratis af te laai.
Dis ontwerp vir leerders in Gr 4-6 en almal wat nog hul nie tafels en kombinasies ken nie - leerders wat hierdie nie baie goed ken nie, sal nié die meer ingewikkelde somme kan baasraak nie en dus nie vorder in Wiskunde nie.
Kliek hier vir meer inligting en 'n skakel om die werkvelle af te laai.
to download our Mental Maths programme with online exercises for free.
Is is designed for Gr 4-6 learners or anyone who has not mastered tables and bonds - learners need to know these basic facts by heart or they will not be able to master the more difficult sums.
Click here for more info and a download link.
Gaan asseblief ondertoe vir 'n skakel om die gratis basiese stel hoofrekenwerkvelle af te laai.
Please scroll down for a link to our page to download the free basic set of mental math worksheets.
HOOFREKEN / MENTAL MATHS
"Op die eerste dag het my klas 'n gemiddeld van 68,8% behaal vir hul spoedtoetse.
Teen Dag 10 was die gemiddeld 94% - 'n 25% verbetering - verstommend!
Ek glo dit sal hul Wiskunde-punte die res van die jaar opstoot."
WERKVELLE EN AANLYNOEFENINGE
WORKSHEETS AND ONLINE TESTS
Baie Graad 4-6 leerders sukkel met moeiliker Wiskunde-bewerkings (soos lang deling en -vermenigvuldiging, asook die optel en aftrek van breuke) omdat tafels en basiese Wiskunde-kennis nie vasgelê is nie.
Ons spreek hierdie probleem aan met:
v 300 werkvelle met hoofreken geskik vir die intermediêre fase (± Graad 4 tot 7-vlak )
v Die eerste tien "Basiese Hoofreken"-werkvelle word gebruik om vas te stel of leerders hul tafels en kombinasies ken - ideaal vir die begin van die jaar.
v Daarna volg werkvelle wat meer ingewikkeld is en toets of begrippe in die intermediêre fase vasgelê is.
v Werkvelle is gegradeer volgens moeilikheidsvlak - Vlak 1 is makliker, min of meer Gr.4-standaard, terwyl Vlak 4, ± Gr.7-standaard, die moeilikste is.
v Daar is ook remediërende werkvelle om spesifieke probleme aan te spreek, bv. leerders wat sukkel met deel; met nul en een, ens.
v Die meeste werkvelle het 50 vrae elk en kan aan die begin van 'n les gebruik word - sowat 5 tot 10 minute, of soos deur die opvoeder bepaal word.
v Dit werk veral goed by groot klasse, waar mondelinge hoofreken nie so suksesvol is nie.
v Memorandums vir elke werkvel is ook beskikbaar, asook tabelle met tafels en kombinasies wat leerders kan gaan leer, en grafieke waarop resultate aangeteken kan word.
v Aanlynoefeninge is ook beskikbaar wat leerders by die skool of tuis kan oefen.
Many Grade 4-6 learners struggle with more difficult Math concepts (e.g. adding of fractions and long division) simply because they do not know their bonds and tables.
We address this problem with:
v 300 mental maths worksheets for the intermediary phase (± Grade 4 to 7-level)
v The first set of ten "Basic Mental Maths" worksheets may be used at the beginning of the year to establish whether learners know their basic times tables and bonds.
v The following sets of worksheets are more difficult and test learners' knowledge of necessary concepts.
v Worksheets are graded - Level 1 is easier, more or less Gr 4-standard, and Level 4, ± Gr 7-standard, more difficult.
v There are a few remedial worksheets as well, e.g. to address specific problems, e.g. division, problems with 0 and 1.
v Most worksheets have 50 questions and they are ideal to use for 5 to 10 minutes at the beginning of a lesson, or as determined by the teacher
v These worksheets are used successfully in large classes where oral mental maths often fails.
v Also available are memorandums for worksheets, fact sheets with times tables to learn as well as graphs for learners to record results.
v Learners can also use our online exercises to practise at school or at home.
STELLE WERKVELLE BESKIKBAAR / AVAILABLE SETS OF WORKSHEETS
Vlak / Level 2
Basic worksheets / Basiese werkvelle
(for all learners / vir alle leerders)
A1Mental Level2 (+-x÷).doc
A2Mental Level2 (+-x÷) 0&1 .doc
E2Mental Level2 (+) big numbers, no regroup.doc
E3Mental Level2 (-) big numbers, no regroup.doc
F3Mental Level2 Multiply with zeros.doc
G1Mental Level2 (+-) inverse.doc
G2Mental Level2 (x÷) inverse.doc
G3Mental Level2 (+-x÷) inverse.doc
I1Mental Level2 Count forward.doc
J1Mental Level2 (÷x) Fraction of number.doc
J2Mental Level2 (÷x) Fractions mixed exercises (A).doc
K1Mental Level2 (+x) Perimeter, area.doc
L1Mental Level2 (÷) Short Division.doc
L2Mental Level2 (x) Short Multiplication.doc
L3Mental Level2 (+x-) Calculations in columns.doc
M1Mental Level2 (+-x÷) Circles.doc
M2Mental Level2 Input-output.doc
N1Mental Level2 (x) x10, x100, x1000.doc
N2Mental Level2 (x) x10,100,1000 money.doc
N3Mental Level2 (÷) ÷10, ÷100, ÷1000.doc
O1Mental Level2 (+-x÷) Multiple operations.doc
P2Mental Level2 (x÷) Simplify fractions.doc
P3Mental Level2 (x÷) Proper to decimal fractions.doc
P5 Mental Level2 Mixed to improper fractions.doc
P6Mental Level2 Equivalent fractions.doc
P7Mental Level2 Fractions mixed exercises (B).doc
P8Mental Level2 Add Subtract fractions.doc
P9Mental Level2 Preparation for decimal fractions.doc
Q1Mental Level2 Rounding.doc
R1Mental Level2 (x+-) Frenzies.doc
S1Mental Level2 (x+-) Mixed exercises.doc
T1Mental Level2 (+) Adding money.doc
U1Mental Level2 Time.doc
Vlak / Level 1
Diagnostic & remedial / Diagnosties & remediërend
(jonger leerders of dié wat hulp benodig / younger learners or those who need help)
B1Mental Level1 (x) 0-12.doc
B2Mental Level1 (x) 0-5.doc
B3Mental Level1 (x) 6-12.doc
C1Mental Level1 (÷) 1-12.doc
C2Mental Level1 (÷) 1-5.doc
C3Mental Level1 (÷) 6-12.doc
D1Mental Level1 (x÷) 0-12.doc
E1Mental Level1 (+-) up to 20.doc
Vlak / Level 3
Advanced / Gevorderd
(verrykking vir sterker leerders / enrichment for stronger learners)
A3Mental Level3 (+-x÷) big numbers .doc
A4Mental Level3 (+- up to 30, x÷) 100 sums.doc
E4Mental Level3 (-) bigger numbers.doc
F1Mental Level3 (x) 12-16x.doc
F2Mental Level3 (x) 17-21x.doc
G4Mental Level3 (+-x÷) inverse mixed.doc
G5Mental Level3 (+-x÷) inverse mixed bigger numbers.doc
H1Mental Level3 (+x) Multiples-Veelvoude.doc
I2Mental Level3 Count forward.doc
K2Mental Level3 (+x) Perimeter, area.doc
P1Mental Level3 (x÷) Equivalent fractions (3).doc
Vlak / Level 4
T1Mental Level4 Powers Roots (Gr 7).doc
T2Mental Level4 (x÷) calculations with integers.doc
Vir elke werkvel is daar 'n memorandum met antwoorde / For every worksheet we provide a memo with answers
NOTAS VIR OPVOEDERS
Hoewel u die werkvelle op enige manier kan gebruik of inkorporeer in u klas, gee ons die volgende voorstelle:
a) Die tabel hierbo dui die nommers van elke oefening aan en wat elkeen behels.
b) Begin met die Basiese Hoofreken A1 en doen een oefening per dag met die hele klas.
c) Gee vooraf die volgende inligting aan leerders:
v Moenie vashaak by 'n som nie. As jy nie die antwoord ken nie, gaan aan met die volgende som en keer terug as jy klaar is.
v As jy klaar is voor die tyd om is, gaan weer deur jou antwoorde en maak seker dat alles reg is.
d) Leerders kry 5 minute om 'n toets te doen (A1-10). Vir ander oefeninge kan opvoeders die tyd verminder of vermeerder soos nodig.
e) Daarna ruil hul om en elke leerder merk iemand anders s'n.
f) Die opvoeder lees die vrae én antwoorde uit (bv. 6 x 5 = 30) - hierdie dien as verdere ouditiewe vaslegging van tafels.
g) Die leerder wat nasien, tel die punte op, skryf dit in, teken daaronder en gee terug.
h) Elke leerder teken nou self sy/haar punte op die grafiek aan (kies self: blok- of lyngrafiek, of gebruik verskillende tipes - dis goeie vaslegging vir datahantering).
i) Leerders kan ook hul totaal en/of gemiddelde bereken (hul kan sakrekenaars hiervoor gebruik) - dit verbeter hul begrip van datahantering.
j) Leerders doen verbeteringe vir huiswerk, merk dit op hul tafelblad (met 'n 'highlighter' of kleurpotlood) en gaan leer die somme wat hulle verkeerd gehad het.
k) Nadat die eerste groep oefeninge (A1) voltooi is, kan u die klas volgens hul resultate hierin verdeel in twee groepe.
l) Die swakker groep doen die Vlak 1-oefeninge (intervensie) - u behoort nou duidelik te kan sien waar elkeen se probleem lê, bv. by deling.
m) Indien 'n assistent of remediërende opvoeder beskikbaar is, kan hy/sy die swakker groep help, of u kan dit ook gee as tuisprogram.
n) Die sterk groep, wat reeds hul tafels en kombinasies goed ken, gaan voort met die ander Vlak 2 en die Vlak 3-oefeninge. Sodoende vorder elke leerder volgens sy/haar vlak.
o) Swakker leerders kan óók die Vlak 2 en 3-oefeninge doen - u kan hulle meer tyd gee om dit te voltooi, of hul kan dit uitwerk op papier.
p) Pryse en kompetisies is baie motiverend - gee belonings vir volpunte of 'n mooi verbetering, of maak gee 'n beloning vir die hele klas om 'n sekere gemiddeld te bereik.
q) Gebruik die reeks Quia-oefeninge op die internet wat hierby aansluit - sien http://www.thinkonline.co.za/quia.htm vir die volledige lys. Leerders kan hierdie ook gebruik om na skool of tuis te gaan oefen.
There are many ways to use and incorporate these worksheets in your teaching. A few suggestions for inexperienced educators:
a) The table shows the number of each exercise and what the exercise entails.
b) Starting with the Basic Mental Maths set A1, do one exercise per day with the whole class.
c) Ensure that the learners are aware of the following before commencing:
v Don’t get stuck on one sum. If you do not know the answer, continue with the next sum and return to it once you have completed the rest.
v If you finish with time to spare, go through your work again and check that your answers are correct.
d) Learners get exactly 5 minutes to complete a test (A1-A10). More or less time can be given for other exercises.
e) They then swap tests and everyone marks someone else’s work.
f) The educator reads out the questions as well as the answers (e.g. 6 x 5 = 30) – this serves as a further auditory reinforcement of their tables.
g) The learner marking the work, counts the marks, fills them in and signs the test before returning it to the appropriate learner.
h) Each learner then plots his/her results on the graph. (The choice is yours: bar graph or line graph, or a variety of types – good consolidation of data handling skills).
i) Learners can also calculate their totals and/or average marks (calculators may be used for these calculations).
j) Learners do the corrections for homework, mark them on the tables worksheet using a highlighter or a coloured pencil crayon, and then go and learn those that were wrong.
k) After completing the first group of ten exercises (A1), you can use the results to divide your class into two groups.
l) The weaker group then does the Level 1 exercises (intervention) – you should now be able to identify where each learners struggles (e.g. division).
m) If an assistant or remedial teacher is available, he/she could assist the weaker group, or you could give it as part of the homework programme.
n) The strong group, those who already know their tables and combinations well, continue with the other Level 2 and Level 3 exercises. In this way, each learner is able to progress at his/her own pace.
o) Weaker learners can also do the Level 2 and 3 exercises – give them extra time or allow them to do their calculations on paper.
p) Competitions and prizes are very motivating – reward full marks or a good improvement, or challenge the whole class to achieve a better average.
q) Use our set of Quia internet exercises at http://www.thinkonline.co.za/quia.htm to practise at school or at home.
Download these worksheets for free from http://www.thinkonline.co.za/gratis.htm
Werkvel / Worksheet Level 2 ~ Tafels feiteblad / Tables factsheet
Uitstekende speletjie om hoofreken en getalbegrip te bevorder
Excellent game to improve mental maths and number concept
Download these cards for free from http://www.thinkonline.co.za/gratis.htm ~ print and cut out
Each card has a different combination of 4 numbers. Cards are worth 1, 2 or 3 points, rated by difficulty.
Look at the middle of a card to determine its point value: 1 dot = 1 point; 2 dots = 2 points; 3 dots = 3 points
Be the first player to make 24 with all 4 numbers on the card.
You can add, subtract, multiply or divide. You have to use all four numbers. Each number may be used only once.
For example: if the numbers are 2, 2, 6, 8:
You could make 24 by explaining (8-2) x (6-2) = 24.
(There might be more than one solution)
Don't get mixed up with a 6 and a 9 - every number is underlined, so you can clearly see the difference!
Count off a stack of cards from the deck (we suggest you use 12 cards for any easy start).
(We suggest two players against each other so that every child is involved - rotate partners after 10-15 minutes and shuffle the cards.
A tournament where winners play against winners, etc. works well and keeps everyone challenged)
All players are playing at the same time, for the same top card.
Start playing using only one point or two point cards. Add the "three point" cards as you get better.
To win a card, you must be the first to figure out how to make 24.
Claim your card by saying "I got it". If you are the first to claim the card and correctly explain a solution, you win that card.
Once you take that card, the next card is in play.
The winner is the one with the most points after all cards are claimed.
Total your score by adding up the point value of your cards.
For example: If you have 4 "one point" and 3 'two point" cards at the end of the game, your score is 10
Click here for an order form in MSWord-format.
Kliek asseblief hier vir 'n bestelvorm in MSWord-formaat.
Please click here for an order form in pdf-format.
Kliek asseblief hier vir 'n bestelvorm in pdf-formaat.
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Think Online versprei leermateriaal wat afgelaai word - dis gebaseer op die SA-leerplan, en opgestel en getoets deur ervare opvoeders.
Think Online distributes downloadable learning material, based on the South African curriculum and designed and tested by experienced teachers.
Skole betaal 'n bedrag per jaar om toegang te kry tot al ons leermateriaal - kliek asseblief hier vir meer besonderhede.
Schools pay one amount per year to obtain access to all our learning material - please click here for more information.