Year 7 Key Performance Indicators Maths (Number)

Transcription

1 Key Performance Indicators Maths (Number) M7.1 N1: I can use the four operations to answer calculations involving decimals. Use correct notation for recurring decimals, know the denominators of simple fractions that produce recurring decimals, convert a recurring decimal to a fraction. Use the four operations with decimals. Multiply 2&3 digit numbers and multiply by zero, add and subtract decimals. M7.2 N2: I can use directed numbers to solve problems. Problem solve using the four operations with negative numbers. Use the four operations to calculate with negative numbers. M7.3 N3: I can use the order of operations to solve problems. Solve BIDMAS problems where Answer order of operation questions students put brackets in the correct involving all the operations. place. Understand about indices and roots and that addition and subtraction are equal. M7.4 N4: I can round numbers to a given degree of accuracy. Round numbers to a given number of significant figures and use this to approximate calculations. Round numbers to a given number of decimal places. Can add and subtract numbers and get a negative answer. Use negative numbers in everyday situations. Use the order of operations to solve problems involving add, subtract, multiply and divide. Round numbers to the nearest whole number. Add and subtract integers with varying significant figures. M7.5 N5: I can find highest common factors and lowest common multiples and express numbers as a product of their primes. Use the distributive law to take out common factors. Use Venn diagrams to find the LCM of two large numbers. Find the LCM of two numbers. Use prime factor trees and Venn diagrams to find the HCF of two large numbers. Find the HCF of two numbers. Express numbers as a product of their primes. M7.6 N6: I can find square, cube and prime numbers and square roots. Find estimates to square roots and Find square and cube roots without find positive and negative roots. a calculator. Find square and cube numbers. Write numbers on and understand number line in both directions, order negative numbers. Answer order of operation questions using addition, subtraction and multiplication. Round numbers to the nearest 10, 100 or Find factors and multiples of numbers. Recognise prime numbers. Investigate prime numbers.

2 M7.7 N7: I can use the index laws including calculating with negative and fractional indices. Apply index laws for multiplication and division of positive integer powers and simplify expressions. Establish index laws for positive powers. Know and use the laws of indices to simplify simple expressions. Calculate using squares, square roots, cubes and cube roots, use index notation, find the reciprocal. Understand algebraic powers. M7.8 N8: I can use a calculator effectively. Use your calculator to work out any Know what all of the buttons do on a calculations and understand what it calculator and use them to answer means for a root to go over a whole calculations. calculation. Use a calculator to work out any power. M7.9 N9: I can understand the implications of multiplication and division of the powers of 10. Understand the effect of dividing by an integer power of 10. Know what all of the buttons do on a calculator and use them to answer calculations. Multiply and divide by simple powers of 10 and know the use of powers of 10. Calculate squares of decimal numbers and find square roots. Recognise the square and cube numbers. Begin to work with and explore the rules of indices. Use a calculator effectively when working out squares and cubes. Experiment with the movement of numbers when multiplying and dividing by 10, 100 and 1000.

3 Key Performance Indicators Maths (Shape) M7.10 S1: I can visualise different units and converting between metric and imperial units. Convert cm cubed to ml and litres and vice versa. Convert between metrics and imperial. Identify sensible measures for weight, length and capacity. M7.11 S2: I can read scales. Problem solve using scales. Read scales where the increase is a decimal number. M7.12 S3: I can recognise the properties of 2d shapes. Shade squares to make it so the pattern meets different criteria to do with symmetry and rotational symmetry. Begin to use congruency and similarity to solve simple problems in triangles and quadrilaterals. State the order of rotational symmetry of a shape. Describe symmetry and solve problems involving symmetry. Know and use the criteria for two shapes to be similar. M7.13 S4: I can calculate the area and perimeter of 2d shapes including circles. Solve problems using area and Find the area of parallelograms and perimeter. Work out the area of the trapezia. Find the area of different shaded region using area of circles circles and know the formula. and other shapes. M7.14 S5: I can use surface area and volume of 3d solids to solve problems. Problem solve using surface area and volume. Calculate the surface area of different shapes. Find the volume of compound 3D shapes. Read scales when they go up by 2 or 5. Investigate the properties of different triangles, squares and rectangles. Reflect shapes in mirror lines. Know and use the criteria for congruence of triangles, identify congruent shapes. Find the area and perimeter of triangles and parallelograms. Find the circumference of different circles and understand the formula. Measure and make nets on square paper and use these to state the surface area. Find the volume of cubes and cuboids. Measure in cm and mm and recognise what different measures look like e.g. 1kg is a bag of sugar. Read scales when the increase is by 1. Identify the lines of symmetry in different shapes. Draw lines of symmetry onto shapes and recognise when a shape has reflectional symmetry. Identify the properties of different 2D and 3D shapes. Find the area and perimeter of squares and rectangles. Investigate Pi. Make nets of different shapes and link this to surface area. Find the volume by counting cubes. Identify faces, edges and vertices of 3D shapes.

4 M7.15 S6: I can find and measure angles in polygons. Calculate interior and exterior angles Find the exterior angles of a regular in a polygon. Solve angle problems polygon. Find missing angles in in parallel lines. parallel lines. M7.16 S7: I can complete transformations of 2D shapes. Describe transformations stating all Complete rotations, reflections, key points. translations and enlargements. Find missing angles in a triangle and a quadrilateral and around a point. Complete reflections and translations. M7.17 S8: I can construct bisectors and shapes, and solve loci problems. Loci - equidistant between two points, equidistant between two lines, around a rectangle and produce shapes and paths by using a description of loci. Construct regular shapes by dividing 360 by the number of sides. Construct a perpendicular bisector and an angle bisector and construct nets of different 3D shapes. M7.18 S9: I can use Pythagoras' Theorem to find missing side lengths of right angled triangles and use to solve problems. Use Pythagoras' theorem to solve problems and given the coordinates of A and B find the length of AB. Solve problems involving finding the long and short sides of right angled triangles. Find the short side of a right angled triangle. Measure the angles in different triangles and quadrilaterals and see if you can come up with the sum of interior angles. Find missing angles on a straight line. Recognise left right, anticlockwise and clockwise, quarter, half and 3/4 turns. Name 2D and 3D shapes and identify if shapes are congruent. Construct and measure angles and construct all varieties of triangles. Find the long side of a right angled triangle.

5 Key Performance Indicators Maths (Algebra) M7.19 A1: I can find inputs and outputs of function machines. Find the operation performed in a Find outputs and inputs of a two step function machine. function machine. M7.20 A2: I can construct and solve algebraic equations from worded descriptions. Write expressions and formula in Construct expressions from worded context. Construct and solve descriptions. Solve real life problems equations that involve multiplying out involving equations. brackets by a negative number and collecting like terms. M7.21 A3: I can manipulate and simplifying algebraic expressions. Simplify simple expressions Write and simplify algebraic involving index notation and expressions. Expand and simplify expressions involving brackets and two sets of brackets. Factorise powers, expand and factorise single brackets. quadratics. M7.22 A4: I can substitute into expressions and understand graphs. Substitute positive and negative Substitute positive numbers into integers into all types of quadratic expressions. Draw linear expressions. Draw quadratic graphs. graphs and read the intercept and Recognise when two lines are the gradient from an equation written parallel or perpendicular and find the in the form y=mx+c. Work out when equation of a linear graph. a point lies on a line. Find the input of a function machine using inverse operations. Write expressions from words involving multiplication, division, add and subtract. Solve linear equations with whole numbers. Simplify by collecting like terms. Expand and factorise single brackets. Substitute positive numbers into linear expressions. Plot coordinates in all four quadrants. Find the gradient and the mid-point of a line segment. Find the output of a one step function machine. Write simple expressions using addition and subtraction e.g.: Sue is x years old and Dave is 2 years older and construct functions. Use arithmetic operations with algebra. Identify the highest common factor of two algebraic expressions. Plot coordinates in the positive quadrant. Read off the y intercept of a graph. Recognise lines on a graph such as x=1 or y=-3.

6 Key Performance Indicators Maths (Data) M7.23 D1: I can calculate the averages and the range from a frequency table. Find a set of numbers given the mean, median, mode and range. Calculate the mean from a frequency table and a grouped frequency table. Compare sets of data using the mean, median, mode and range. Know which average best represents a set of data. Calculate the mode from a frequency table and a grouped frequency table. Find the mean, median, mode and the range of a set of data. Design suitable grouped data tables to collect data. M7.24 D2: I can display and interpret data using graphs and charts. Construct and interpret line graphs Compare different charts, tables and and pie charts, dual bar charts, line graphs and interpret grouped scatter graphs. Use a line of best fit data tables. Draw scatter graphs and to predict results. describe their correlation. M7.25 D3: I can calculate probabilities including experimental probabilities. Work out the probability of an event Calculate experimental probability. not happening. M7.26 D4: I can read and draw real-life graphs and use to solve problems. Draw and use graphs to solve distance-time problems. Interpret real life graphs and plot graphs of a function derived from a real life problem. Interpret data in charts, tables and diagrams, record data in a frequency table. Draw a line of best fit onto a scatter graph. Probe scale 0-1, probability based on equally likely outcomes. Draw and interpret conversion graphs, distance-time graphs, line graphs, real life graphs. Find mean, and mode of small sets of data, find the median when you have an odd number of data. Put numbers in and out of a frequency table. Draw tally charts. Draw tally charts, bar charts, pictograms, stem and leaf diagrams and line graphs. Plot points onto a scatter graph. Use the vocabulary for probability and write in words the probability of events happening or not happening. Read times and distances from real life graphs and begin to solve problems for them.

7 Key Performance Indicators Maths (Ratio) KPI R7.1: I can apply the four operations to fractions Order fractions by finding common Find equivalent fractions and denominators. Solve problems by simplify them. Write improper finding fractions of amounts. Add fractions as mixed numbers and vice and subtract mixed number versa. Find more complicated fractions. fractions of amounts such as 3/5. Add and subtract fractions with different denominators. KPI R7.2: I can solve percentage of amounts problems Can calculate percentage increase and decrease. Calculate compound interest and repeat percentage change. multiplier method. Can find other, more difficult, percentages. Solve percentage problems using the decimal KPI R7.3: I can convert, compare and order fractions, decimals and percentages Express a quantity as a simplified Compare and order fractions, fraction or a percentage of another decimals and percentages. quantity. Convert between fractions, decimals and percentages. KPI R7.4: I can solve proportion problems including "best-buy" problems Solve word problems involving ratio Use the unitary method to solve and proportion. simple word problems involving proportion. KPI R7.5: I can write, simplify and use ratios Share amounts into ratios. Write a ratio into the form 1:n. Shade a fraction of an amount to compare the size of two fractions. Write shaded shapes as mixed numbers. Find simple fractions of amounts 1/2, 1/3 etc. Multiply and divide fractions. Can find 10%, 5% and multiples of 5%. Write percentage change as a decimal. Write percentages (and decimals) as fractions. Order decimals. Solve problems with direct proportion. Simplify ratios either by finding a HCF or by dividing until it s in its simplest form. Shade a fraction of an amount. Can write what fraction is shaded as an improper fraction. Split objects into simple fractions and learn the associated language. Recognise that percent means out of 100. Write percentages as decimals. Write decimal as a percentage and vice versa. Use place value to write the value of digits in a number. Given the price of several items work out the price of 1. Write two or more items into ratios.

8 KPI R7.6: I can compare proportions and solve direct proportion problems Solve problems involving direct proportion. Use percentages to compare proportions. Use fractions to compare proportions. Identify the common equivalent fractions decimals and percentages.