Pi Day Special Offer To celebrate Pi Day, take 31% off any individual membership subscription when you use discount code PIDAY2020 at checkout, or click this direct link. (This weekend only) Just in time for Pi Day 2020! We have streamlined the site structure, and added bread-crumbs for navigation. Hopefully this makes it easier to […]

## Negative Numbers on the Number Line

Visualization is an important focus in Singapore math and the number line is one tool we used frequently to visualize relationships between numbers. However in 6th or 7th grade, when students are introduced to negative numbers, things can get a bit tricky when dealing with negative numbers on the number line. For example, -3 –

## Comparing Fractions using the Same Whole

A reader raised an interesting question in our previous post on Understanding the Concept of Same Whole in Fractions. Specifically, using a physical interpretation as an example: 3 out of 4 of Ellie’s pencils are red while 5 out of 7 of Tim’s pencil are red. Who has the “greater” fraction? After all, we can

## Double Before-After Bar Model Problem

Sometimes one bar model is not enough. Here’s an interesting double bar model problem using before-after relationships. If Abby gives \$10 to Ben, then they will have the same amount of money. If Ben gives \$20 to Abby, then she’ll have four times as much as he has. How much money does each of them

## Percentage Conversion

If you’re on social media lately, you might have seen this twitter post that has gone viral. This is indeed a percentage conversion identity that can be especially handy when you have to do mental calculations involving percentages. x% of y = y% of x This comes from the fact that percentage is nothing but

## One Bar Model for Two Different Types of Question

We recently came across two entirely different question types and solved them using the exact same bar model. Geometry Type of Question Here’s the first question: The figure below is made up of two overlapping shapes, a triangle and a square. The ratio of the area of the triangle to the area of the square

We call this an advanced bar model problem. How would you solve this 5th-grade question using bar models? Mr. Lim had some stickers and stamps for his class. The number of stickers was half as many as the number of stamps. After giving each student in the class 3 stickers and 8 stamps, Mr Lim

## Three Meanings of the Minus Sign

We often see bright kids in 5th or 6th grade getting the deer-in-the-headlights look when it comes to dealing with equations with multiple negative or minus signs. Often it is good to stop and think about the different roles the humble minus sign take on in integer arithmetic. In fact, at this level, there are

## Article on Singapore math from Economist.com

On Aug 30, 2018, there was an article from The Economist, titled “What other countries can learn from Singapore’s schools“. Since it says “copying allowed”, we have copied the article here for your reference. WHEN the island of Singapore became an independent country in 1965, it had few friends and even fewer natural resources. How

## 2018 Singapore Math In-Depth National Conference and Standards Institute

This summer, I had the privilege of presenting at two of my favorite National Conferences again, 2018 Singapore Math In-Depth National Conference and 2018 Winter Standards Institute! The 2018 Winter Standards Institute was held in San Diego this year, Jan 29 to Feb 2, 2018 where I presented four days on Middle School Curriculum and Leadership, focusing

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