Band Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals

Transcription

1 Year 8 Maths Assessment Criteria Assessment 1 Band Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals Use disability tests to find factors and identify primes the definition of HCF and LCM Find and use the HCF and LCM of two numbers the first 5 cube numbers using prime factors the laws of indices when Use, multiply and divide numbers written in index form multiplying and dividing Round numbers to a given power of 10 and use rounding to make estimates. Use trial and improvement to find square and cube roots Measures, perimeter area and volume calculate the area of trapeziums. calculate the area and circumference of circles. Convert between imperial and metric units convert between metric units of volume and area. the formulae for area of a trapezium know the parts of a circle the formulae for area and circumference of circles conversions for key imperial/metric units

2 Expressions and formulae factorise an expression by finding HCF simplify expressions that involve brackets, powers and division substitute positive and negative integers into a formula or expression Derive formulae change the subject of formulae including fractions and brackets that - x - = +, and negative squared = positive Band Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers Use divisibility rules all my tables up to 12x12 and Decimals add, subtract, multiply and divide negative numbers cubes and cube roots to 5 3 find HCF and LCM of 2 integers use prime factor decomposition Measures, perimeter area and volume calculate the area of triangles and parallelograms. convert between metric and imperial units of measure the formulae for area of a triangle and parallelogram conversions for key imperial/metric units Expressions and formulae substitute positive integers into formulae/expressions rearrange basic formulae e.g. a = bc to c = a/b the rules of BIDMAS apply to algebra

3 Band Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals order and compare decimals Recognise and use multiples and factors Recognise and use cube and square numbers, cube and square roots decimal place value Understand decimal place value Measures, perimeter area and volume calculate area of squares and rectangles. convert between metric units of measurement. metric units of measure for length, weight and capacity. the formula for area of a rectangle Expressions and formulae Simplify expressions involving negative terms and where there is more than 1 unknown Write/use formulae using algebra how to recognise like terms

4 Band Topic Mastery Statements Essential Knowledge Whole Numbers and Decimals I can use negative numbers in the context of temperature. I can find multiples and factors of a number I can identify square numbers I know my multiplication tables I know square numbers to 100 Measures, perimeter and area Expressions and formulae I can find the perimeter of a shape by measuring. I can find the area of a shape by counting squares. I can write/use formulae in words I can understand and use basic algebraic notation e.g. a + a = 2a I know that letters can be used to represent unknown numbers

5 Band Topic Mastery Statements Essential Knowledge Whole Numbers and Decimals I can find multiples of 2,3,4,5,8 I know place value up to I know the symbols > and < Measures, perimeter and area I can read a scale. I can convert between 12 and 24-hour time. I can read money from a calculator and write it properly. I can work out real-life money and time and calendar problems. I know number of days in a year, months and days per month. Assessment 2 Band Topic Mastery Statements- I can Essential Knowledge - I know Fractions, Apply the four operations with decimal numbers decimals and Add and subtract fractions and mixed numbers with different denominators percentages Find one number as a percentage of another Find 17½% by doing 10%, 5%, etc. Order fractions, decimals, percentages including negative numbers to 3 dp. Angles and shapes Use bearings to describe direction. Know the exterior angles of a shape add up to 360 To find missing angles on parallel lines degrees. Calculate interior and exterior angles for regular Recognise alternate and corresponding angles. polygons Recognise the different types of polygons Identify and use congruence

6 Band Graphs Topic Mastery Work out Statements- the gradient of I can a line Essential Knowledge - I know Fractions, Interpret use mixed Distance/ numbers Time and other real-life graphs. percentage and decimal equivalents for Find the midpoint of a pair of coordinates decimals and compare and order fractions fractions with a denominator of 2,3,4,5,8,10 Mental percentages multiply pairs of fractions in simple cases Calculations Perform mental addition, subtraction, multiplication That multiplying by 0.1 is the same as dividing by 10 write a fraction in its lowest terms by cancelling and division That dividing by 0.1 is the same as multiplying by 10 common factors write large and small numbers in standard form Angles and shapes describe the properties of different the symbols for describing same length lines, Statistics use quadrilaterals. the data handling cycle. Know parallel definitions lines, right hypothesis, angle, equal qualitative, size angles, Estimate Use some the properties mean, median of polygons and modal class from a quantitative reflection lines data, primary and secondary data, grouped frequency table containing discrete data grouped the angles and in ungrouped a triangle data sum and to 180 outliers. draw a frequency polygon Understand that the angles inequality a quadrilateral signs sum to 360 Interpret and compare pie charts Know I know how what to calculate tessellating the means range Use and interpret scatter graphs to recognise correlation, draw line of best fit and make Understand. correlation descriptions Graphs predictions. plot the graph Understand of a linear outliers equation and make decisions whether Recognise or not the to equations include them of sloping when drawing lines and the line of best fit lines parallel to the axes Plot and interpret a time series graph Mental calculations I can multiply and divide by 10,100,1000, and 0.1 and 0.01 round to a given number of decimal places Statistics construct a frequency diagram for continuous data use two-way tables to record and interpret data plot a scatter diagram calculate a mean, median and mode from a frequency table BIDMAS definitions continuous, discrete data, correlation, mean median that the mean = sum of data number of pieces of data Band Topic Mastery Statements- I can Essential Knowledge - I know

7 Fractions, write fractions as mixed numbers decimals and add and subtract fractions with denominators that are multiples of the same number percentages express one number as a fraction of another simplify fractions multiply a fraction by an integer find a percentage of a quantity find a fraction of a quantity find families of equivalent fractions write decimals as fractions Angles and shapes measure angles using a protractor. calculate missing angles on a straight line and at a point. describe the properties of different triangles Graphs work out the equation of a vertical or horizontal line I can interpret some real-life graphs what an improper fraction is the % symbol that percent relates to the number of parts per hundred percentage and decimal equivalents for ½, ¼, 1/5, 2/5, 4/5 that angles on a line sum to 180 degrees and angle around a point sum to 360 degrees. that vertically opposite angles are equal how to estimate an angle size the terms for parts of a circle. the triangles that are equilateral, isosceles, scalene, right angled the graphs of y=x and y=-x Mental calculations use mental strategies for addition and subtraction of decimals use mental methods of multiplication and division with decimals Statistics draw a pie chart calculate the range and mode from a frequency table the definitions - mode, range and frequency basic circle angle facts Band Topic Mastery Statements- I can Essential Knowledge - I know

8 Fractions, decimals and percentages find equivalent fractions convert simple fractions to decimals add and subtract fractions with the same denominator write and number of tenths or hundredths as a decimal what a numerator and denominator are decimal equivalents of ½, ¼, 3/4 Angles and shapes distinguish between regular and irregular polygons. name special types of quadrilateral. Identify types of triangle Graphs draw and label axes plot coordinates in all four quadrants use a table of values to draw a straight-line graph Draw a conversion graph terms degrees, regular, irregular, quadrilateral, polygon there are 360 in a full turn and 180 in a half turn. Recognise and name acute, right, obtuse and reflex angles Mental calculations Use the order of operations including brackets use mental methods of multiplication and division with whole numbers solve problems using addition, subtraction, multiplication and division with whole numbers Times- tables up to 10 Statistics interpret and construct bar charts and time the definitions of median and mean graphs calculate median and mean from a set of data Band Topic Mastery Statements Essential Knowledge

9 Fractions, decimals and percentages I can recognise fractions up to 1/10 of a number up to 100 I can add and subtract fractions with the same denominator to 1 whole I know and recognise ⅓,¼,⅕,1/10 Angles and shapes I can use the compass points to give directions. I can identify if an angle is more or less than a right angle I can identify horizontal, vertical and parallel lines. I know the terms parallel, perpendicular, vertical, horizontal I know how to label parallel sides and perpendicular lines I know the points of the compass. Graphs I can plot coordinates in the first quadrant Whole number I can add and subtract using 3 digit numbers. calculations Statistics I can construct and interpret bar charts I can construct and interpret pictograms (where one picture represents more than one item) I can read information from lists, diagrams and charts I can complete a tally chart and frequency table I can compare two or more diagrams or charts I can calculate the mode and range from a set of data Assessment 3 Band Topic Mastery Statements - I can Essential Knowledge- I know Transformations and symmetry Enlarge a shape from a given point using a fractional scale factor. Know shapes will reduce in size if enlarged by a fractional scale factor Describe transformations including repeated transformations. All the symmetries for quadrilaterals

10 Understand and use more complex scales (e.g. 1:25000). Equations Solve equations with non-integer solutions Solve equations that contain fractions Solve equations with unknowns on both sides Solve non-linear equations by trial and improvement Written and calculator Use standard written methods to solve problems methods Calculator methods, powers and roots. Interpreting calculator display. Constructions Construct an angle bisector, a perpendicular bisector of a line, a perpendicular from a point on a line and from a point to a line Apply construction knowledge to loci. Use three figure bearings Sequences Write a formula for the nth term of a linear sequence recognise and use quadratic sequences and simple geometric progressions (r is rational) describe a general sequence with a recursive formula 3D Shapes Use Isometric paper to draw simple 3D objects Draw plans and elevations Calculate the volume and surface area of prisms Calculate volume and surface area of cylinders. Ratio and Proportion Solve problems using ratio and proportion Compare proportions Understand that equations can have non-integer solutions Know how to simplify fractions BIDMAS including powers and roots. Simple loci Know how to find the constant multiplier Know which way the isometric paper goes Know the formula for volume of a prism Know the difference between ratio and proportion Probability Calculate the probability of two events occurring by listing all the outcomes. Know that the more times an experiment is repeated, the more accurate the estimate. Use tree diagrams to calculate probabilities Know probability notation associated with Venn diagrams Calculate estimates of probabilities from experiments. P(A B) and P(AUB) Use Venn diagrams to calculate probabilities Band Topic Mastery Statements - I can Essential Knowledge- I know

11 Transformations and symmetry Enlarge a shape when given a positive integer scale factor. Recognise the order of rotational symmetry of a shape. Rotate and translate a shape. Use a combination of transformations That order 1 means no rotational symmetry Equations Solve 2 step equations e.g. 2x+4=10 Solve equations with brackets Solve real life equations Written and calculator Written methods of division 3 digits by 2 digits(long methods division) Order of operations. Multiplying and dividing negatives and adding and subtracting negatives Constructions Recognise and sketch nets of prisms and pyramids. Construct SSS triangles Construct ASA triangle Sequences Generate terms of a sequence from a position- to- term rule Deduce expressions to calculate the nth term 3D shapes Recognise and sketch nets of prisms and pyramids. Calculate the volume of cuboids. Calculate the surface area of cuboids Ratio and Proportion Divide a quantity in a given ratio Use the unitary method Find the best buy. Inverse operations BIDMAS That there can be more than one correct net How to find the common difference That there can be more than one correct net The formula for volume of a cuboid How to convert between fractions, decimals and percentages Probability Use two-way tables Use equally likely outcomes to find a probability Use an experiment to estimate probability That mutually exclusive events sum to 1. The probability notation P(A ) Band Topic Mastery Statements - I can Essential Knowledge- I know

12 Transformations and symmetry Reflect in the co-ordinate axes. Understand and use simple scales (e.g.1cm :5km) Which axis is x Which axis is y Equations Solve one step equations e.g. x+5=11 >,<,, symbols Written and calculator methods Use written methods of division 3 digits by 2 digits. (long division) Add and subtract decimals Understand decimal place value. Constructions Construct triangles and quadrilaterals Draw angles using a protractor. That cuboids have matching pairs of faces There are 360 degrees in a circle Sequences Generate terms of a sequence from a term- toterm rule Recognise and use sequences of triangular, square and cube numbers and simple arithmetic progressions Square numbers up to 100 Cube numbers up to 125 3D shapes Recognise and sketch nets of cuboids Find volume by counting cubes. Ratio and Proportion Reduce a ratio to its simplest form Use ratio and proportions in solving problems Construct a scale drawing That cuboids have matching pairs of faces Probability Calculate probability based on equally likely events. The probability notation P(A) Show probabilities on a number line Sort objects using three Venn diagrams Band Topic Mastery Statements - I can Essential Knowledge

13 Transformations and symmetry I can reflect horizontally and vertically. I can rotate a shape I can tessellate shapes. I know the definition of object and image Equations I can use functions machines I know the difference between input and output Written and calculator methods I can use written and mental methods of multiplication. I can by 10 and 100 I can do written and mental calculationsadding and subtracting up to 3 digits. I know times- tables up to 10 Constructions I can measure and draw angles I can use a pair of compasses to draw a circle. Sequences I can continue a number sequence I can generate the terms of a sequence from patterns and diagrams I can describe how a sequence continues in words I know the first few triangle numbers 3D Shapes I can recognise and sketch nets of cubes. I know a net of a cube has six identical squares Ratio and Proportion I can use ratio notation I know the notation 1:100, 2:3 Probability I can use language associated with probability I can sort objects using two Venn diagrams Band Topic Mastery Statements Essential Knowledge Transformations and I can draw lines of symmetry on shapes symmetry and pictures. I know the meaning of likely, unlikely, evenchance, impossible and certain I know that a ruler is required to draw straight lines

14 Equations I can use inverse operations for addition, subtraction, multiplication and division Written and calculator I can add and subtract 3 digit numbers methods I can multiply and divide two-digit whole numbers by a single digit I can solve problems using x and in real life situations Constructions I can recognise and name prisms, cylinders and cones. I can draw lines to the nearest mm. Sequences I can recognise and use multiples of 3,4,8,50,100 I know that multiplying is the inverse of division. I know Place value I know abbreviation for millimetres 3D shapes Recognise and name prisms, cylinders and cones.