Number Bond: An Essential Strategy of Singapore Math

Number Bond: An Essential Strategy of Singapore Math

Number bonds show how numbers are split or combined. An essential strategy of Singapore maths, number bonds reflect the ‘part-part-whole’ relationship of numbers.

By Gbenga Ayanfe

WHAT IS A NUMBER BOND?

Number bonds let students split numbers in useful ways. They show how numbers join together, and how they break down into component parts. When used in year 1, number bonds forge the number sense needed for early primary students to move to addition and subtraction. As students progress, number bonds become an essential mental problem solving strategy.

HOW DO NUMBER BONDS WORK?
Number bonds are represented by circles connected by lines. The ‘whole’ is written in the first circle, while the ‘parts’ are in the adjoining circles.

 HOW TO TEACH NUMBER BONDS?
Children are usually introduced to number bonds through the concrete, pictorial, and abstract approach. Here’s just one way to introduce and teach number bonds.


1. THE CONCRETE STEP
Children start out by counting familiar real-world objects that they can interact with. They then use counters to represent the real-world objects. From here, they progress to grouping counters into two groups.
By putting five counters into two groups, children learn the different ways that five can be made. For example, 3 and 2 as illustrated below. With further exploration, children work out other ways to break numbers into two groups.


2. THE PICTORIAL STEP

Now that they understand the concept with hands-on objects and experience, children progress to writing number bonds in workbooks or on whiteboards. Early number bond explorations might simply reflect the two groups of counters that they created during the concrete step, along with other combinations.

3. THE ABSTRACT STEP
With the concrete and pictorial steps done and dusted, children progress to representing abstract problems using mathematical notation (for example, 3 + 2 = 5).

TAKING THE CONCEPT A STEP FURTHER

Number bonds also develop problem solving strategies such as ‘making ten’ with ten frames, multilink or unifix cubes.

By mastering number bonds early on, pupils build the foundations needed for subsequent learning and are better equipped to develop mental strategies and mathematical fluency. By building a strong number sense, pupils can decide what action to take when trying to solve problems in their head.

This example shows how a pupil would develop their number sense, or mathematical fluency, by using number bonds to perform a mental calculation.

Ten is the most important number in our decimal (base ten) number system, so it is vital that our children learn to recognize it in any disguise. When the student knows the bonds for ten automatically, we move on to 20, then 100, then any number we desire.

“My Number Bond App by Prime Academy Tech will gracefully enhance students’ integration into the concept of Number Bond, the Singaporean way” – Check it up!

Don’t “Drill.” Play Games!

Here are a few number bond games to enjoy with your children:

  • Throw two dice and tell how many more you would need to make 10. (On the rare throws of 11 or 12, the answer is a negative number.)
  • Throw 3 dice and tell how many more it takes to make 20.
  • One player names any number 0-100, and the other tells how many more it takes to make 100.
  • You could also play the last game with math cards[take out the jokers and face cards, leaving just ace (1) through 10], turning up one for the tens place and one for the ones, to make a two digit number.
  • 10’s Concentration — Turn all the math cards face down on the table. On her turn, each player turns up two cards. If they add up to 10, she gets to keep them and try again. If one of the cards is a 10, she gets to keep it and turn up another card. Whoever takes the most cards, wins.
  • Use Number Bond App! –Check My Number Bond App!

-Credit: www.mathsnoproblem.com

Need a great PC app to help children learn Number Bond in a fun and interesting way? – Get My Number Bond App!

 

School Fees Maker App is a Simple, Editable, Effective and User-friendly School Fees Maker. It runs off-line on Microsoft Excel, designed with Ms VBA.

IT AUTOMATICALLY COMPUTES A CUSTOMISED SCHOOL FEES DETAILS FOR EACH STUDENT AND SENDS IT TO EMAIL.

Features of School fees maker

  • It is a macro-enabled excel app therefore, it opens up in excel.
  • It is editable and can be customized to meet your needs.
  • It runs off-line. you only need the internet to send mails.
  • It is easy to use and user-friendly.
  • It can be used for the whole school. It can accommodate over 3,500 students at once.
  • You can send mails via outlook, gmail or yahoo.
  • You can print or send termly fees or session fees.
  • You can use up to 5 different currencies.

The Details of The App

The INFO PAGE

This is the information page where the following information are inputted:

  • The School Details
  • The Name of the Classes– Do not put SPACE or any other special characters (/ – : ; ‘()!@#$%^&*) in the Classes column.
  • The terms
  • The Present Session
  • The Name, position and signature of the head of School or Account officer: To change the signature, Right-Click on it and Click Change Picture, then select your own signature from your system.

Note: It should be an image, i.e. jpeg of png.

The next column is the Students’ details column.

Based on the name of the classes inputted the classes column, a database template is created for each class. Where you type the name, email and discount (if any) for each student. In the discount column, only the number is typed while the number is automatically formatted as percentage. That is, just type 15 instead of 15%.

School Fees Details Page

On this page, you select the currency from the drop-down.

In the detail column, you list the details of your school fees.

The next thing is to write the amount of each detail of the school fees for each class term by term.

Term Bill Page

This is the page that displays the termly school fees for each student in the school according to their class and term.

To change the logo, Right-Click on it and Click Change Picture, then select your own logo from your system.

The procedure for displaying the school fees of a student is as follows:

  • Click the TERM box, select the term from dropdown
  • Click the CLASS box, select the class from dropdown
  • Click the NAME box, select the name of the student

Then, you’ll have his School fees details displayed.

Don’t forget to include the school’s Bank details and school fees due date.

Session Bill Page

This is the page that displays the total session school fees for each student in the school according to his class.

The procedure for displaying the school fees of a student is as follows:

  • Click the CLASS box, select the class from dropdown
  • Click the NAME box, select the name of the student

Then, you’ll have his School fees details displayed.

Don’t forget to include the school’s Bank details and school fees due date.

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