Friday, March 18, 2011

Maths Swap (Addition and Subtraction)

WARM-UPS
ADDITION BINGO
Adjust the level to challenge yourself, from easy to extremely hard.




DARTBOARD ADDITION
Solve the addition problem then tap the dartboard to check your answer.

  1. Centre number plus U, TU
  2. Numbers that Add to 1, 10, 100
  3. Doubles and halves to 100 (All levels)
  4. Add fractions, decimals and percentages
  5. Fractions of amounts
  6. Make a quantity



MAGIC SQUARES
Insert digits until each row equals the magic number.




NUMBER FACTS GRIDS
These grids are a great warm-up activity.




KNOWLEDGE

How many more counters will you need to add to make five?




KNOWLEDGE: BONDS WITHIN ...


Learn the basics first!




KNOWLEDGE: BONDS TO ...


These pairs of numbers add to 10.




KNOWLEDGE: FAMILY OF FACTS


Have you heard of the 'Family of Facts'?  It's all about the numbers that 'live' together!



Make your own family of facts with these templates!
  1. Triangles
  2. Houses
  3. Dominoes 
  4. Domino Flash Cards


Work out the fact families for each table.  




KNOWLEDGE: PLACE VALUE

Check your understanding of place value with these materials.  




  1. Add 4 + 5 and check the answer.  
  2. Then try 40 + 50 and check the answer.  



"Try 20 plus 20.  How about 30 + 20?  What did you find out?"





STRATEGIES

E-CA

  1. Fingers: Use your fingers to solve simple addition sums.
  2. Counters: Use double sided counters to practise adding to five.
  3. Counters: Count all objects to solve addition problems.
  4. Fly Flips: Learn to add numbers to 10 with fly flips.
  5. Number strips: These are handy to learn to add!
  6. Number strips: Try subtracting with a number strip.  It's easy!
  7. Number strips: Learn to subtract with a number strip.
  8. Bead strings: Practise counting with bead strings.
  9. Arrow cards: Add tens and ones and show this with arrow cards. 
  10. Counters in containers: Learn to count on with counters!




CA-AC
YARDSTICK ADDITION
Here's a little trick to help you count on when the larger number is given first.

  • Work out 3 + 8 counting on.
  • Work out 8 + 3 counting on.
  • Which method was easier?
  • 2 + 65!


MISSING NUMBERS
Use the number line to help you solve the problem.




AC
YARDSTICK SUBTRACTION
Use your ruler and learn to count down to solve subtraction problems.





Add and subtract tens with this amazing number line!



"Find out when you need to use regrouping in addition."



THE SUPER SEQUENCER
Enter your starting number and practise jumping up or down in tens.



NZ MATHS: PLACE VALUE BLOCKS
Build your starting number then add on the tens.





TENS AND ONES (TUTORIAL)
TENS AND ONES (PRACTISE)
Learn to add the tens separately and then the ones separately.  Afterwards, combine the two numbers.  



HORIZONTAL ADDITION
HORIZONTAL SUBTRACTION
Learn to use the power of hundreds, tens and units in these BRILLIANT activities.



EXPANDED ADDITION
Cement your learning.  Visit this activity to see tens and ones grouped in a slightly different way.




NZ MATHS: PLACE VALUE BLOCKS
Create 45 with tens and ones.  How many tens and ones do you need to add to create 67?



Use the following alternative strategies to solve similar problems.


  1. Nearest 10
  2. Compensate

Practise

  1. Difference bar, easy: random questions.
  2. Difference bar, easy: build your own.
  3. Difference bar, hard: random questions.
  4. Difference bar, hard: build your own. 



COUNTER SQUARE
It's not quite a 1,000 chart but it's a start.




AC - EA
ANIMATION: POP STICKS (MAKING GROUPS OF 10)

  1. The Number Partner
  2. Tutorial: "Learn how to break up numbers into pairs of smaller numbers."
  3. Tutorial: Make one of the numbers a ten.
  4. Tutorial: Use your doubles!  
  5. Tens and Ones + Ones (Enter your own problem).
  6. Tens and Ones + Ones (Solve the given problem).
  7. Tens and Ones + Tens and Ones (Enter your own problem).








Learn to subtract like a pro!  Jump back to the nearest 10...

Teach Me!
  1. Subtraction in parts: tutorial.
  2. Subtract the tens then the ones: tutorial (alternative strategy). 
  3. Subtract the ones then the tens: tutorial (alternative strategy). 
Practise!
  1. Easy take away: random questions.
  2. Easy take away: make your own.
  3. Hard take away: random questions. 
  4. Hard take away: make your own.




Use this tool to show jumps on a number line.





EA
TEACHER TOOLS: PPT
ANIMATION: BRIDGE TO 10
ANIMATION: ANIMAL STRIPS
ANIMATION: OPEN NUMBER LINES
ANIMATION: NUMBER LINES ROUNDING

NEXT!
What is the next tidy number?  How many will need to be added?



JUMP MAKER
Use the number line to add numbers in parts.



NUMBER JUMPS
Use this tool to show jumps on a number line.



SPACE JUMPS
Jump through ten and then to your space rocket!



CATAPULT COUNT ON
Destroy the kings castle with your giant catapult!



BRIDGING SHUTTLE
Practise bridging addition problems through 10, 20 and 50.



Move 10, Adjust by 1

Practise adding and subtracting 9.  First move 10 then adjust by one.



TEACHER TOOLS: PPT

CUISENAIRE RODS
Practise comparisons of sets with cuisenaire rods.






TEACHER TOOLS: PPT




EA-AA

Make 567 with place value blocks.  What do you have to add in order to make 800?  




NZ MATHS: NUMBER LINE
TEACHER TOOLS: PPT
Jump like a frog to a 'tidy' number - then add up your jumps.  It's much easier this way!





Use the number line to represent addition and subtraction problems visually.  



Learn to look for the difference between the two numbers.




AA

Use the number line to model jumping up a tidy number...




Play around and learn with these fun blocks.  Add and count ten hundreds then convert them into thousands.  




Jump up in tens and stop BEFORE you reach the target number.  Then add the ones.  




Use the number line to record your thinking.




Learn to compensate with this fun little activity.  



Learn to solve problems like: 78 + 99.

METHOD ONE
  1. Make 78 with tens and ones.  
  2. Add on 100.
  3. But this is one too many!  
  4. Take one away.
METHOD TWO
  1. Transfer one from 78 to the 99.
  2. 77 + 100 = 177



Use the handy number line applet to model the problem.




'For a problem like 445 - 398, the fact that 398 is very close to a tidy number, namely, 400, suggests that a useful way of solving it is by equal additions, in this case, of 2.'  
  1. 445 - 398 = 47
  2. 447 - 400 = 47 (Easier!)






CALCULATION BALANCE
TEACHER TOOLS: PPT
Adjust the scale to the right and click 'check' to see if the equations are equal.






Learn to bust those easy combos first!  Make 10.




9,999... Watch the roll over.




Adding large numbers in your head can be a real challenge.  Take it easy by using the following methods:



Practise adding larger numbers.



A useful teacher tool to demonstrate regrouping of units and tens as well as standard form addition.




Subtracting large numbers can be difficult.  Try the following methods:   










Improve your estimation skills.  The faster and more accurate your answer the bigger the score.  





AA - AM

COMPARE TEMPERATURES
TEACHER TOOLS: PPT
Use the number line to help you find the difference between a positive and a negative temperature.  



ANIMATION: HILLS AND DALES
ANIMATION: HILLS AND DALES (SUBTRACTION)
ANIMATION: HILLS AND DALES (SUBTRACTION II)



TEACHER TOOLS: PPT




AM - AP

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