Block 1 Level 3 Rounding Percentages Time Length and Area Statistics S1 Information Night Block 1 Level 3 Rounding Percentages Time Length and Area Statistics

Rounding and Estimating Benchmarks Recalls quickly multiplication and division facts to the 10th multiplication table. Solves multiplication and division problems working with integers Rounds decimal fractions to three decimal places. Uses rounding to routinely estimate the answers to calculations.   Key Points For this topic pupils knowledge on place value is vital eg 5.678(5 units 7 tenths 6 hundredths 8 thousandths) especially when it come to rounding to decimal places. To decide how we round follow the rule “5 or more round up, 4 or less round down” Pupils are taught the mathematical methods to multiply and divide by 10, 100, 1000. It is vital they remember to move numbers up or down. The quick method of adding zeros is only used for whole numbers. We extend this method to help us multiply by multiples of 10, 100 and 1000 eg 20, 300, 4000 etc.

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Percentages Key Points Benchmarks Converts fractions, decimal fractions or percentages into equivalent fractions, decimal fractions or percentages. Uses knowledge of fractions, decimal fractions and percentages to carry out calculations with and without a calculator. Solves problems in which related quantities are increased or decreased proportionally.   Key Points To convert a percentage to a fraction 𝑝𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 100 then simplify eg 17% = 17 100 Fractions should be given in their simplest form eg 20 100 = 1 5 17% as a decimal 0.17, 20% = 0.20 , 4% = 0.04 Calculate percentages without a calculator by either converting to simple fractions or using 10% and 1% to help. Calculator method involves dividing the percentage by 100 then x by the amount.

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Time Key Points Benchmarks   Applies knowledge of the relationship between speed, distance and time to find each of the three variables. Calculates time durations across hours and days. . Key Points Pupils need to be familiar with the three formulae for finding distance, speed and time. Time needs to be written in decimal format for calculations eg, 2 hours 15 minutes = 2.25 hours Time needs converted back into hours and minutes when decimal time is given as an answer. Eg. 3.75hours = 3 hours 45 minutes.

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Length and Area Key Points Benchmarks Chooses appropriate units for length, area and volume when solving practical problems. Converts between standard units to three decimal places and applies this when solving calculations of length, capacity, volume and area. Calculates the area of a 2D shape where the units are inconsistent. Finds the area of compound 2D shapes constructed from squares, rectangles and triangles. Key Points Being able to identify the correct measurement unit and measuring exact lengths in a variety of different units. Perimeter is the total distance around the outside of the shape. Area is the amount of space inside the shape. Area of a Rectangle = Length x Breadth Area of a Triangle = 1 2 x base x height Area is always measured in 𝑢𝑛𝑖𝑡𝑠 2

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Statistics Key Points Using rulers to draw graphs. Benchmarks Sources information or collects data making use of digital technology where appropriate. Interprets data sourced or given. Describes trends in data using appropriate language, for example, increasing trend. Determines if information is robust, vague or misleading by considering, for example, the validity of the source, scale used, sample size, method of presentation and appropriateness of how the sample was selected. Collects data by choosing a representative sample to avoid bias. Organises and displays data appropriately in a variety of forms, for example, compound bar and line graphs and pie charts, making effective use of technology as appropriate. Key Points Using rulers to draw graphs. Bar Charts must follow the rule “space – bar – space – bar …” Should be able to interpret and create bar graphs, line graphs, pie charts etc.

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