Access thousands of brilliant resources to help your child be the best they can be. What is a number sentence? We explain what a number sentence is and how primary-school children are taught to write number sentences or fill in gaps in number sentences in KS1 and KS2.

Arrays, multiplication and division Jennie Pennant, with the help of Jenni Way and Mike Askew, explores how the array can be used as a thinking tool to help children develop an in-depth understanding of multiplication and division.

Using Arrays to Explore Numbers Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations.

An array is formed by arranging a set of objects into rows and columns. Each column must contain the same number of objects as the other columns, and each row must have the same number as the other rows.

Building Multiplication Facts and Tables Arrays can be used for building multiplication facts in a meaningful way. Before drilling and memorising tables, children must understand how these facts are derived.

For example, by progressively adding another column of three objects, children can build the three-times tables for themselves. This representation not only assists in understanding the process, but provides a visual image for children to draw upon as they begin to use and memorise the basic number facts.

Using arrays to explore larger numbers Arrays can be helpfully used to explore calculations such as 13 x 5 where the array can be split into useful chunks such as 10 and 3. This means that children can use their known number facts to work out calculations.

After a while drawing all the dots can get very tedious!

The blank array then becomes a very useful tool for helping children model their thinking and work out how to do more complex multiplications in an informal way. Here's a child using the blank array, as a thinking tool, to help them work out 15 x The blank array helps children to use other strategies, such as compensating, when carrying out multiplication.

Here, to work out 34 x 9, the child has decided to do 34 x 10 and then take off the 34 x 1. Beyond the blank array this 'dividing the multiplication into easy parts' strategy can be formalised into the grid method.

The children can see how the 'abstract' grid method overlays the array and formalises the blank array into a standard form. Division as the Inverse Operation of Multiplication Of the four operations, division is the most troublesome for young students.

Full understanding of division tends to lag well behind the other operations. For many children opportunities to explore the concept with concrete materials are curtailed well before they perceive the relationships between division and the other four operations.

One such relationship, the inverse relationship between division and multiplication, can be effectively illustrated using arrays.

Language clearly plays an important role in being able to express the mathematical relationships and the physical array supports this aspect of understanding by giving the children a concrete image to talk about.

Placing the mathematics into a real-life context through word problems can facilitate both understanding of the relationship and its expression through words.

For example, "The gardener planted 3 rows of 5 seeds. How many seeds did she plant?

How many seeds in each row? Further exploration of the array reveals two more ways of expressing inverse relationships: The word problems can be adapted to describe these operations and highlight the similarities and differences between the four expressions modelled by the one array.

We can set this up as an array with the value of one side missing. Using known multiplication facts the value of the missing side can be built up. So the child can see that 22 lots of 8 is the same as The array is a very powerful tool for supporting the development of children's thinking around both multiplication and division.

Here is a PDF version of this article.Any time you refer to, comment on, paraphrase, or quote another writer’s information, you must document this in your essay through the use of a citation.

May 16, · Adherence to font size, type density, line spacing and text color requirements is necessary to ensure readability and fairness.

Although font requirements apply to all attachments, they are most important and most heavily scrutinized in attachments with page limits. There are a number of signs that people may use to indicate division.

The most common one is ÷, but the backslash / is also used.

Sometimes people will write one number on top of . Math Test - Addition, subtraction, decimals, sequences, multiplication, currency, comparisons, place values, Algebra and more!

Letter case (or just case) is the distinction between the letters that are in larger upper case (also uppercase, capital letters, capitals, caps, large letters, or more formally majuscule) and smaller lower case (also lowercase, small letters, or more formally minuscule) in the written representation of certain lausannecongress2018.com writing systems that distinguish .

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Multiplication Number Sentence Worksheets - Lesson Worksheets