Math Magic Land
Number
Numbers to 10 millionRead numbers up to 10 million in words, Write numbers in the millions from words, Find the value of a digit in millions10 skillsDecimals to thousandthsFind the value of a digit in a decimal, Split decimals into tenths and hundredths, Read and write decimals with thousandths11 skillsRounding and estimatingRound whole numbers to the nearest 10,000 or 100,000, Round large numbers to the nearest million, Round a number to the place you are asked12 skillsNegative numbersCompare and order negative numbers, Place negative numbers on a number line, Find the opposite of a number13 skillsSquares, cubes and primesFind square numbers and their positions, Find the square root of a square number, Find which two square numbers a number is between10 skillsFactors, multiples and divisibilityFind common multiples of two numbers, Find the lowest common multiple of two numbers, Find common factors of two numbers14 skills
Calculation
Adding and subtracting large numbersAdd and subtract large whole numbers, Add numbers up to 7 digits in columns, Subtract numbers up to 7 digits in columns11 skillsMultiplying large numbersMultiply 3- and 4-digit numbers by a 1-digit number, Multiply multiples of 10, 100 and 1000 in your head, Multiply by doubling and halving13 skillsDividing large numbersEstimate quotients using nearby multiples, Divide multiples of 10, 100 and 1000 in your head, Divide 3-digit numbers by a 1-digit number14 skillsOrder of operations and bracketsUse the order of operations, Do mixed calculations in your head, Spot mistakes in the order of operations11 skills
Fractions, decimals and percentages
Multiply and divide by 10, 100 and 1000Multiply and divide decimals by 10, 100 and 1000, Divide whole numbers by 1000 to make thousandths, Multiply and divide by powers of 10 in two steps6 skillsFractions of amountsFind a fraction of an amount, Find a fraction of a length, mass or capacity, Find a fraction of an amount of baht10 skillsMixed numbers and fractions as divisionChange mixed numbers to improper fractions, Change improper fractions to mixed numbers, Find the two wholes a fraction lies between8 skillsSimplifying and comparing fractionsWrite fractions in their simplest form, Find missing numbers in equivalent fractions, Simplify fractions in one step using the HCF10 skillsAdding and subtracting fractionsFind a common denominator for two fractions, Add and subtract fractions with different denominators, Add fractions with totals greater than 113 skillsMultiplying and dividing fractionsEstimate fraction products, Multiply a fraction by a whole number, Multiply a mixed number by a whole number15 skillsFractions, decimals and percentagesRead percentages on a hundred grid, Find the percentage of a shape that is shaded, Find the missing percentage to make 100%13 skillsPercentages of amounts and discountsFind 1%, 5%, 10% and 50% of a number, Build harder percentages from easy ones, Find 25% and 75% of an amount13 skillsAdding and subtracting decimalsSplit and regroup decimals to help calculate, Estimate decimal sums and differences, Add and subtract decimals11 skillsMultiplying decimalsEstimate decimal products to place the point, Multiply decimals by a 1-digit number, Multiply decimals by multiples of 108 skillsDividing decimalsEstimate answers to decimal divisions, Divide decimals by a 1-digit number, Divide whole numbers to give a decimal answer10 skills
Shape and space
Quadrilaterals and circlesName quadrilaterals, Spot parallel and perpendicular sides in quadrilaterals, Describe the properties of quadrilaterals11 skillsAnglesName types of angles, Estimate and measure angles with a protractor, Find angles on a line, at a point and on a clock11 skills3D shapes and netsCount faces, edges and vertices of solids, Find faces, edges and vertices from the base shape, Name the shape of a slice through a solid7 skillsCoordinates, translation and reflectionRead and plot coordinates in four quadrants, Plot pairs from two rules on a grid, Name the quadrant from the signs of a point13 skillsRotations and tessellationsDescribe turns by angle and direction, Rotate points and shapes 90° about a point, Rotate shapes a half turn about a point7 skillsLine and rotational symmetrySpot shapes with rotational symmetry, Find the order of rotational symmetry, Compare line symmetry and rotational symmetry5 skills
Measure, time and money
Money, change and best buysFind change in baht and satang, Work out change from 100, 500 or 1000 baht, Work out change from 1000 baht after shopping10 skillsConverting units of measureConvert lengths with decimals in mm, cm, m and km, Convert masses with decimals in g and kg, Convert capacities with decimals in ml and l7 skillsTime, decimal hours and timetablesConvert between seconds, minutes, hours and days, Change between 12-hour and 24-hour times, Change decimal hours into hours and minutes7 skillsArea and perimeterFind the perimeter of quadrilaterals, Find a missing side from the perimeter, Use the area formula for rooms and gardens11 skillsVolume, capacity and surface areaTell capacity and volume apart, Find how much more fills a container, Find the volume of shapes made from cubes8 skills
Patterns, algebra and ratio
Ratios and sharingWrite a ratio or fraction for two groups, Write a ratio in the right order, Use a ratio to find the fraction of the total14 skillsProportion and scaleSpot and complete direct proportion, Use a double number line to find amounts, Decide if two amounts are in proportion11 skillsNumber sequences and patternsCount on and back in decimal and fraction steps, Fill gaps in sequences with decimal steps, Continue sequences with mixed number steps16 skillsFunction machines and formulaeFind outputs of two-step function machines, Work backwards through a function machine, Find the rule of a function machine10 skillsWriting and using expressionsWrite an expression from words, Match an expression to its meaning in words, Read letter shorthand like 3n and n/411 skillsSolving equationsFind the value of a letter in an equation, Solve one-step equations with adding or subtracting, Solve one-step equations with multiplying or dividing10 skillsInequalities, pairs and combinationsFind whole numbers that make an inequality true, Write an inequality for a situation, Find all whole-number pairs for an equation6 skills
Data and chance
Averages and rangeFind the mode and range of a data set, Find the median of a data set, Find the median of an even number of values9 skillsProbabilityDescribe likelihood in words, fractions and percentages, Place events on a 0 to 1 probability scale, Find and compare probabilities9 skillsCollecting and showing dataRead tally charts, Spot questions that need data to answer, Put the steps of a data investigation in order12 skillsLine graphs and judging dataRead line graphs and find change over time, Read a conversion graph between units, Compare two lines on one line graph6 skills
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