Year 4 mathematics worksheet: tenths of rectangles

A good way of working with decimals is the use of shapes that are divided into ten equal parts. The form is a single whole and each part is a tenth, which can be written as 0.1.

This page has a selection of shapes and asks the child to write down the amount that is gray. When all parts of a shape are shady this counts as ten tenths, or entire one.

While the printed pages almost always display the decimal point located on the line most schools show like half way up the line: the main thing is that it appears clear.

This page can be found in our year 4 mathematics worksheets in Counting the number and category.

Tenths of rectangles (1)

Year 1 mathematics vocabulary

If a child does not respond on a mathematical question can it be because they don't understand the words or instructions used. Another problem can occur when a mathematical term has a different meaning in everyday English, for example, ' table '.

In the category of mathematics year 1 there is an excellent list of the vocabulary children needed to understand and use in year 1. For example, the following list has the new words that they are in school in year 1 encounter have to do with the compute and solve problems.

Words to do with the compute and solve problems:

plus near double

How much more is. ..?     how much less is. ..?

subtract min

half                                     halve

equals sign

number sense

operation

There are similar lists for the calculation, measures, and position. These words may greater be printed so that they can be used as ' flashcards ' or displayed on the wall.

Go to the year 1 vocabulary lists.

Year 5 mathematics: written multiplication

Here we have a second page questions that an intermediate step in the progress in the development of an efficient, standard written method of multiplication. It assumes a good knowledge of tables before you start.

This method breaks the task in four parts. For example, when multiplying 538 by 4, the four parts are:

1. the multiplication of 500 by 4

2. the multiplication of 30 at 4

3. multiplying 8 by 4.

4. Add the four answers to reach the final answer.

While this is a good method I prefer to work in the reverse order of starting with the units, then the trans-European networks and finally the hundreds, although if the child understand what happens it makes little real difference.

Multiply a number by a 3 digit number 1 digit (2)

Year 1 mathematics resources

All worksheets mathematics for year 1 must be found by clicking on the link for free math worksheets at the top of the page. The worksheets are organized into categories according to the directives of the primary framework for mathematics, although this is now revised.

The categories are:

Counting and number: watching small numbers in steps of one count and write numbers.

Some facts to know: count on and back in two and knowing addition facts to 5.

Calculation: including small numbers, and an introduction to add money

Understanding form: in this stage recognition of triangles, rectangles and squares, as well as the introduction of some 3D shapes

Measuring: using non-default measures and compare

Treatment data: mainly creating lists

Using and applying mathematics: number of stories and investigations.

While there is a significant amount of here is that it is next to nothing compared to the URBrainy site the best that I found online, with more than 1,700 colorful pages of mathematics for the year 1 is have, including full answers.

Go to our year 1 mathematics resources

Mathematics resources: Written addition

One of the most popular parts of the site for parents is our free math worksheets: four rules pages on written addition.

Many parents think that the methods they learned at school (and for many this would in the 1990s) different from today. This is only partially true. Since the beginning of the numeracy strategy and later that the primary framework for mathematics has been the emphasis on the preparation of children so they understand the written methods that they use. There's a lot of preparatory work and methods, often called "the pursuit of the standard written method ' so that cannot be known to parents, but the end result is pretty much the same. It is this intermediate stages which some parents find puzzling.

The default method is written the layout the sum vertically, with numbers will be added under each other. The units are added first, then the trans-European networks and so on. We have several worksheets to illuminate this method completely.

Go to written methods of addition

Impossible question in mathematics under paper

Well, it's not unusual for me an error with the articles and worksheets published here, but I don't have a team of proof readers to help me. Much more serious is the error in mathematics as the paper this year.

More than 6,000 students took the paper and the question with the highest number of brands was impossible to answer! The question that 8 brands of 72 is granted for the entire document. This meant that many students would have agonised about, wasting a lot of minutes in unsuccessfully trying to reach a correct answer.

A spokesman for the exam board said,

"We regret that there was a mistake ... and that our quality assurance procedures failed to identify this error.

"Because we have been alerted to this so early, we are able to take into account this error when the paper marker. We will also use this in the boundary rank. We have sent a letter to all schools and universities explain in more detail what we'll do.

"We once again apologize that this has happened."

Obviously some of the students think that this is a less than satisfactory result is as some would have spent a lot more than others on the question, leaving less time for the rest of the exam.

Read more

Mathematics and physics, in the summer 2011

This week in Philadelphia the String-Math 2011 Conference is underway, scheduled as the first of a series, with String-Math 2012 next summer in Bonn. Slides of the talks are listed here. There was also supposed to video, but the saved video seems to be a kind of UPenn login required, and I haven't been able to get the streaming video to work. Public talk by Cumrun Vafa crosses the classic message that strings have come to the rescue of physics, unifying QM and gravity, and which:

Flexible geometry of strings seems to explain all known interactions (at least in principle)

The techinical talks relate to a lot of ground, much of it having little to with string theory. Michael Douglas's talk surveys that related to find non-Perturbative formulations of quantum field theory hold that one could hope to have something to say about it exactly, but it contains many more questions than answers. I am most curious about David Ben-Zvi talk tomorrow, so hope that slides or video of that will be available.

The circle of ideas on gauge theory, geometric Langlands, TQFTs and representation theory gets even more attention than the mathematics of string theory this summer. In a few weeks will start with a two-part program on Luminy and then Cargese on double affine Hecke Algebras, the Langlands program, affine varieties of the flag, Conformal Field Theory, Super Yang-Mills theory. I do not know who the author is, but some person or group has written for the occasion a wonderful summary of the current activity in these and related areas of mathematics, see here. Next month, will be hosting a program KITP on non securities and dualities in QFT and Integrable systems that relate to some of the same topics will have.

In some other non-related news, if you understand French, you can listen to an interesting series of interviews with Pierre Cartier here. Finally, it was recently announced that $ 1 million this year is to share my colleague Richard Hamilton Shaw Prize for Mathematics with Demetrios Christodoulou. Richard Congratulations!

Year 3 Mathematics worksheet: time and calendars

An aspect to learn over time that is often neglected is the use of a calendar. They don't need any explanation for children who do not come across them before and they come in different formats. The month appears in this spreadsheet starts the week on Monday, although many start on Sunday. It may seem puzzling to children as to why there are some ' empty ' days at the beginning of the first week so it's a good idea to have a calendar with available all year.

This can lead to much discussion, such as the number of days in each month, why birthdays on any other day of the week every year etc.

Using a calendar (1)

Year 3 Mathematics: couples who make 100

When working out how much more to make a number of up to 100 it important not to mix up two different ways to do it. Let's ask the question:

' How much more there is of 45 to 100? "

One way to do this is to add 5 to 45, 50 and then count on 50 to 100. That is a total of 55.

Another way is to count on in dozens of 45 to 95, that is 50, and then add it to the extra 5, again making 55.

Watch out for children who get something confised, adding at from 40 to 100, 60, and then on another 5. This method will always lead to ten more than the correct answer.

The ultimate goal of questions such as these is to make the answers second nature or even know them off by heart. "

This page can be found in our annual 3, calculation of the section.

Full number of sentences (pg 2)

Source of the Week: 6 year mathematics challenge

Here is a bit tricky puzzle that is 6 years or upper juniors (9/11). Ideal for wet breaks!

Use only the digits 1 through 9 complete correct the number of sentences, both horizontally and vertically, so they all are.

A good knowledge of tables is needed, along with the ability to add and subtract mentally.

The hardest part of this puzzle is getting started and the best approach is to use process and improvement by picking one row or column that can have only a limited number of opportunities. This wouldn't be the first row or column down.

This particular puzzle to look at the first row is a x b – c = 34. Start by watching combinations of numbers that when multiplied, more than 34 (but no more than 43 if the maximum subtraction is 9) and then see what number can be subtracted to leave 34.

An important note about this: all calculations are done in the following order: Bodmas is not applicable.

1-9 (1A)