Measurement

 application of estimations using personal units, such as pace length and arm span, and comparison with measures using formal units, such as metres and centimetres  use of ruler and tape measure (linear scale) and trundle wheel (circular scale) to validate estimates of length  setting of temperature in Celsius on a circular scale; for example, on an oven, and estimation of temperature in degrees Celsius  displays of data as a column or bar graph  reading of analogue clocks to the nearest quarter of an hour  construction and interpretation of a daily timetable  identification of events which are equally likely  construction of an appropriately labelled bar graph  estimation of angle in terms of quarter turns and half turns  investigation of the fairness of events such as gambling and games through experimentation  comparison of the likelihood of everyday events and linking of events with statements about how likely they are to occur  understanding of the distinction between discrete and continuous scales
 * **Progressing towards level 3** || **Progressing towards level 4** || **Progressing towards level 5** || **Progressing towards level 6** ||
 * **2.25 use** of formal units of measurement; for example, metres to measure length, and hour, minute and second for time
 * 2.5 estimation** and measurement of mass, volume and capacity of common objects; for example, kilogram of flour, litre of soft drink
 * 2.75 calculation** of area through multiplication of the length of a rectangle by its width

• **Continuum links** •[| Formal units for measuring] •[|Reading clocks to quarter hours] ||  **3.25** **estimation** and measurement of perimeter of polygons conversion between metric measurements for length; for example, 0.27m = 27cm estimation and measurement of angles in degrees to the nearest 10° use of fractions to assign probability values between 0 and 1 to probabilities based on symmetry; for example, Pr(six on a die) = 1/6 identification of mode and range for a set of data awareness of the accuracy of measurement required and the appropriate tools and units subdivision of a circle into two sectors according to a given proportion for arc length design of questionnaires to obtain data from a sample of the population sorting of data using technology simulation of simple random events calculation and analysis of the stability of a sequence of long run frequencies where the number of trials increases, say from 5 to 10 to 20 to 100 interpretation of pie charts and histograms identification of the median for a set of data  • **Continuum links** • [|Reading clocks to nearest minute] • [|Extending work with formal units] • [|Converting between measurement units]
 * 3.5 estimation** and measurement of surface area; for example, use of square metres, and area of land; for example, use of hectares
 * 3.75****conversion** between metric units; for example, L to mL, and understanding of the significance of thousands and thousandths in the metric system

• [|Time intervals] || **4.25** development and use of formulas for the area and perimeter of triangles and parallelograms determination of the internal and external angle sums for a polygon and confirmation by measurement estimation of the likely maximum and minimum error associated with a measurement appropriate use of zero to indicate accuracy of measurement; for example, a piece of timber 2.100m long is accurate to the nearest mm recognition of the mean value of a set of measurements as the best estimate, and that the range could represent the associated error calculation of total surface area of prisms, including cylinders, by considering their nets contrast between the stability of long run relative frequency and the variation of observations based on small samples construction of dot plots, and stem and leaf plots to represent data sets use of random numbers to assist in probability simulations and the arithmetic manipulation of random numbers to achieve the desired set of outcomes calculation of theoretical probability using ratio of number of ‘successful’ outcomes to total number of outcomes use of tree diagrams to explore the outcomes from multiple event trials display and interpretation of dot plots, and stem and leaf plots, including reference to mean, median and mode as measures of centre • **Continuum links**
 * 4.5** use of appropriate units and measurement of length, perimeter, area, surface area, mass, volume, capacity, angle, time and temperature, in context
 * 4.75** understanding of the distinction between error and percentage error

• [|Area of a circle] || **5.25** conversion between units and between derived units use of pythagoras theorem to calculate the length of a hypotenuse use of symmetry and scale to calculate side lengths in triangles representation of compound events involving two categories and the logical connectives and, or and not using lists, grids (lattice diagrams), tree diagrams, venn diagrams and karnaugh maps (two-way tables) and the calculation of associated probabilities representation of statistical data using technology calculation and application of ratio, proportion and rate of change such as concentration, density and the rate of filling a container use of pythagoras theorem to calculate the length of a side other than a hypotenuse use of trigonometric ratios to calculate unknown sides in a right-angled triangle display of data as a box plot including calculation of quartiles and inter-quartile range and the identification of outliers qualitative judgment of positive or negative correlation and strength of relationship and, if appropriate, application of gradient to find a line of good fit by eye use of pythagoras theorem in three-dimensional applications calculation of unknown angle in a right-angled triangle using trigonometric ratios use of surveys as a means of obtaining information about a population, including awareness that sample results will not always provide a reasonable estimate of population parameters placement of a line of best fit on a scatter plot using technology and, where appropriate, use of a line of best fit to make predictions
 * 5.75** conversion between degrees and radians, and use of radians when calculating arc length and area of sectors

• [|Converting between derived units]
 * Continuum links**

• [|Deeper understanding of Pythagoras' theorem] || Mind map on Key words using MS Word (ICT) || **Literacy Tasks**- Summarise formulas or generalised concept in a table, Written response, Verbal response, Reading task || || ||   ||   || Estimating distances Line Length How long is your pace? School ground layout How long is a one-second pendulum? Perimeters of rectangles How far is it round a circle? Round and round ||  ||   ||   || Type in the content of your page here.
 * **Literacy Tasks**- Key words, say aloud, Key word search, jumbled word activity, Posters, Think board || **Literacy Tasks**- Thinking tools, meaning with examples, Construct a glossary with key terms.(Research) || **Literacy Tasks**- Word splash, Written response, Verbal response, Reading task
 * **Maths Tasks:**
 * **RIME-/open ended activities**
 * **Worded problems** ||  ||   ||   ||
 * **Assessments** ||  ||   ||   ||
 * **Pre test** ||  ||   ||   ||
 * **Post test** ||  ||   ||   ||
 * **Assessments** ||  ||   ||   ||
 * **Pre test** ||  ||   ||   ||
 * **Post test** ||  ||   ||   ||