Tuesday 29 November 2011

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)

Friday 25 November 2011

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.

Monday 21 November 2011

Local Blogs

There are now several excellent blogs somehow to mathematics is carried out by the local population, including a few new ones, so I thought that would be a good idea to mention here these related:

Andrew Gelman of Columbia Statistics Department runs the very active Statistical Modeling, causal inference and Social Science blog, which boasts a wealth of all kinds of different subjects, from technical ones about statistics, to social sciences applications.Emanuel Derman, who began his career as a HEP theorist, was one of the early migrants to the financial industry and now has here teaches at Columbia in the Financial Engineering program, a new blog at Reuters. His last book was the very interesting my life as a Quant, this autumn, he has a new coming out right models worn Badly. Cathy O'Neil, a mathematician who learned here for a while before you change career path, starting with a job at the hedge fund D.E. Shaw, has recently started with the beautiful Mathbabe blog. I think I mentioned this already, but one of my colleagues, Johan de Jong (Cathy's husband) also has a blog, the stacks Project Blog. If your metrics to evaluate blogs like "quality of information is" x "degree of abstraction and technical", are the best blog in the world.

If you have comments on these blogs, I encourage you to post them there rather than here. I would be interested in hearing about any other local mathematics/physics related blogs that I am not aware of.

Update: another local mathematics, physics-related blog has made its debut today, Davide Castelvecchi degrees of freedom. It is part of a network of new blogs today being launched by Scientific American, who is based in New York.


Thursday 17 November 2011

Toddlers and Math

Learning mathematical concepts actually beginning with toddlers. After all, think about how excited a toddler is when they tell you they are going to be 2 years or 3 years old. They are so quick to parrot those numbers, although they are still not sure about conservation of number or number correspondence. However, it is a great time to promote number concepts and develop a joy of math in concrete methods. discover what these early number concepts are and how to use them to promote and develop the significance of those years toddler and beyond.

See also: math concepts learned in kindergarten.


Sunday 13 November 2011

Source of the Week: reflective symmetry

There is quite a lot of work in the year 6 on symmetry and the subject often comes in the key stage 2 SATs.

This number includes important vocabulary and by the end of the year 6 children must know and be able to read, write and use the following quite tricky words:

Mirror, line of symmetry, line symmetry, symmetrical, reflect, reflection, translation, axis of symmetry, reflective symmetry.

They must also be able for symmetry with the help of a mirror and by folding testing.

Children are expected to outline the reflection of a simple form in a line of the mirror where no or only a part of the shape's edges parallel or perpendicular to the line of the mirror.

This might seem simple, but actually prove problematic to many children. A small mirror or tracing paper can be a great help with this.

Year 6 maths worksheet: reflective symmetry

Wednesday 9 November 2011

Year 6 equivalent fractions

Here is another page of equivalent fractions. A part of each pair of fractions is missing and the missing numerator or denominator should be entered. Remember, equivalent fractions are fractions that have the same total value.

One interesting way to check whether two groups equivalent is to perform a couple of multiplications; What is known as cross multiplication. To verify that a/b is equal to c/d just multiply a by d, and then (b) multiplying c. If the two answers are equal then the fractions equivalent. This is a really good way to check to see if the answers are correct.

Equivalent fractions (pg 2)

Friday 4 November 2011

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)