They can be downloaded for free by registering on the TES website. Often pupils are very quick to tell me that they find algebra difficult before even giving it a try, but when introduced to it in the right way they are amazed that it was actually far easier than they thought. This collection of resources is designed to provide an introduction to algebra topics, making them accessible to all; however, I have tried to include as many adaptable resources as possible so that they can be easily adapted to provide more challenge.
They begin to understand unit and non-unit fractions as numbers on the number line, and deduce relations between them, such as size and equivalence.
They should go beyond the [0, 1] interval, including relating this to measure. Pupils understand the relation between unit fractions as operators fractions ofand division by integers.
They continue to recognise fractions in the context of parts of a whole, numbers, measurements, a shape, and unit fractions as a division of a quantity.
Pupils practise adding and subtracting fractions with the same denominator through a variety of increasingly complex problems to improve fluency. Measurement Pupils should be taught to: The comparison of measures includes simple scaling by integers for example, a given quantity or measure is twice as long or 5 times as high and this connects to multiplication.
Pupils continue to become fluent in recognising the value of coins, by adding and subtracting amounts, including mixed units, and giving change using manageable amounts.
The decimal recording of money is introduced formally in year 4. Pupils use both analogue and digital hour clocks and record their times. In this way they become fluent in and prepared for using digital hour clocks in year 4. Geometry - properties of shapes Pupils should be taught to: Pupils extend their use of the properties of shapes.
They should be able to describe the properties of 2-D and 3-D shapes using accurate language, including lengths of lines and acute and obtuse for angles greater or lesser than a right angle.
Pupils connect decimals and rounding to drawing and measuring straight lines in centimetres, in a variety of contexts. Statistics Pupils should be taught to: They continue to interpret data presented in many contexts. Year 4 programme of study Number - number and place value Pupils should be taught to: They begin to extend their knowledge of the number system to include the decimal numbers and fractions that they have met so far.
They connect estimation and rounding numbers to the use of measuring instruments. Roman numerals should be put in their historical context so pupils understand that there have been different ways to write whole numbers and that the important concepts of 0 and place value were introduced over a period of time.
Number - addition and subtraction Pupils should be taught to: Number - multiplication and division Pupils should be taught to: Pupils practise to become fluent in the formal written method of short multiplication and short division with exact answers see Mathematics appendix 1.
Pupils solve two-step problems in contexts, choosing the appropriate operation, working with increasingly harder numbers. This should include correspondence questions such as the numbers of choices of a meal on a menu, or 3 cakes shared equally between 10 children.
Number - fractions including decimals Pupils should be taught to: They extend the use of the number line to connect fractions, numbers and measures. Pupils understand the relation between non-unit fractions and multiplication and division of quantities, with particular emphasis on tenths and hundredths.
Pupils make connections between fractions of a length, of a shape and as a representation of one whole or set of quantities. Pupils continue to practise adding and subtracting fractions with the same denominator, to become fluent through a variety of increasingly complex problems beyond one whole.
Pupils are taught throughout that decimals and fractions are different ways of expressing numbers and proportions.
This includes relating the decimal notation to division of whole number by 10 and later They practise counting using simple fractions and decimals, both forwards and backwards. Pupils learn decimal notation and the language associated with it, including in the context of measurements.
They make comparisons and order decimal amounts and quantities that are expressed to the same number of decimal places. They should be able to represent numbers with 1 or 2 decimal places in several ways, such as on number lines.
They use multiplication to convert from larger to smaller units. They relate area to arrays and multiplication. Pupils compare and order angles in preparation for using a protractor and compare lengths and angles to decide if a polygon is regular or irregular.
Pupils draw symmetric patterns using a variety of media to become familiar with different orientations of lines of symmetry; and recognise line symmetry in a variety of diagrams, including where the line of symmetry does not dissect the original shape.
Geometry - position and direction Pupils should be taught to: They read, write and use pairs of co-ordinates, for example 2, 5including using co-ordinate-plotting ICT tools.Math homework help.
Hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus.
Online tutoring available for math help. Proportions & Ratios. This lesson is mostly dedicated to practice, but let's start with a quick review of ratios and proportions. A ratio is a comparison between two different quantities.
For. To simplify a trigonometric expression, enter the expression to simplify and apply the trygonometric_calculator function. Thus, for the simplification of the following expression `cos(x+pi)+2*sin(x)`, enter trygonometric_calculator(cos(x+pi)+2*sin(x)), after calculation the simplified form of the trigonometric expression is returned.
Math High School Resources. Click on a section below to view associated resources.
HLT Topics In ( cr.) Provides an opportunity to explore topical areas of interest or needed by students. May be used also for special honors courses. May be repeated for credit. Variable hours. HLT First Aid and Cardiopulmonary Resuscitation ( cr.) Focuses on the principles and techniques of safety, first aid, and cardiopulmonary resuscitation.
The two numbers of a ratio are separated by a colon, just as the two numbers in a fraction are divided by a fraction bar. Ratio to Fraction Calculator is an online tool to change ratio into fraction.
Ratio to Fraction Calculator is a tool which makes calculations easy and fun.