Year 9 Key Performance Indicators Maths (Number)

Transcription

1 Key Performance Indicators Maths (Number) M9.1 N1: I can apply the four operations to negative numbers. Raise negative numbers to a power Add and subtract negative numbers and know when the answer should knowing the rules of negative be positive or negative. numbers. M9.2 N2: I can apply the order of operations using BIDMAS. Insert brackets into the correct place Apply BIDMAS to calculations to make a calculation correct. involving brackets and indices. M9.3 N3: I can use the answer to one calculation to find the answer to another. Use a calculation to work out the Use a calculation to work out the answer to another to questions answer to another to questions including division. excluding division. M9.4 N4: I can round numbers and estimate answers to calculations. Estimate values incl. square roots to Estimate values of calculations. an appropriate degree of accuracy. M9.5 N5: I can apply the laws of indices so simplify expressions. Use negative and fractional indices. Identify and apply the laws of indices. M9.6 N6: I can write numbers as a product of their primes. Use prime factor decomposition to calculate the HCF and LCM or a pair of integers. Convert a number into its prime factors, including the use of index and notation and apply to questions in context. Can multiply negative numbers using the rules. Can apply BIDMAS rules to calculations involving multiplication and addition/subtraction. Check a calculation using inverse operations. Round to significant figures. Use the rules of indices to multiply and divide. Can write a number as a product of its prime factors. Can do subtraction calculations that give a negative answer. Calculate with indices and work out square roots of numbers. Understand the role of the equals sign. Rounding decimal numbers. Write numerical terms as a single power. Can recall the prime numbers under 20 and understand what it means for a number to be prime.

2 Key Performance Indicators Maths (Shape) M9.7 S1: I can complete constructions of shapes and bisectors, and solve loci problems. Identify the regions described by loci. Construct loci of points and lines. Construct bisectors and regular polygons inscribed in a circle. M9.8 S2: I can find the area and perimeter of 2D shapes. Solve problems involving area and Find the perimeter and area of a perimeter. trapezium, and find a missing measurement given the area. M9.9 S3: I can solve problems involving the area and circumference of circles. Find the arc length or the perimeter Find the radius or diameter given the of a sector of a circle or use this circumference or the area of a circle. formula find the angle in a sector, and the same for the area of a sector. Find the area of compound shapes made from rectangles and triangles. Find the area and the circumference of a circle. M9.10 S4: I can solve problems using volume and convert between metric and imperial measures. Solve metric conversion problems. Find the volume of a frustum and solve capacity problems. Convert metric units to imperial units. Find the volume of solids including cylinders, sphere and cone, and find missing measurements given the volume. M9.11 S5: I can solve inequalities and represent them on a number line. Solve two step inequalities including Solve one step inequalities. multiplying by a negative. M9.12 S6: I can find interior and exterior angles. Use the sum of the interior or exterior angles to find the number of Use the sum of the interior and exterior angles to find the size of each interior and exterior angles. Convert metric units to imperial units using a flow chart. Calculate the volume of prisms and investigate the number of smaller boxes that fit inside a larger box. Represent inequalities on a number line. Find the sum of the interior and exterior angles. Find missing angles Construct the full range of triangles. Find the perimeter and area of rectangles, triangles and parallelogram. Investigate Pi using the string investigation. Label the parts of a circle. Visualise metric and imperial units by relating them to real life objects and list all metric and imperial units. Calculate the volume of cubes and cuboids by counting cubes and recognise that volume represents the space inside a shape. Identify integers that satisfy an inequality. Identify if lines are parallel with one another. Find missing angles on a straight line and around a point.

3 sides of a regular polygon. Use Find missing angles in parallel lines angle facts to write simple proofs. giving reasons. M9.13 S7: I can form expressions and equations around shapes. Form and solve expressions for the Given a value for the perimeter, set area of a shape. up and solve an equation for x, also solve expression problems for angle problems. M9.14 S8: I can recognise graphs and identify there equations. Find the equation of a line parallel or Find the equation of a line from its perpendicular to a given line passing graph, and draw a linear graph through a given point, find the without a table of values equation of a line going through two points. M9.15 S9: I can read maps, convert distances and measure bearings. Solve bearings problems using Read and draw bearings, draw angles in parallel lines. accurate scale drawings. M9.16 S10: I can describe transformations. Describe a translation using vector notation, describe enlargements and rotations. Describe a reflection by stating the line it has been reflected in. Rotate shapes and enlarge by a fractional scale factor. in triangles and quadrilaterals giving reasons for their answers. Form an expression for the perimeter of the shape. Recognise and draw lines parallel to the axes and the line y=x and y=-x. Use map scales to work out real distances and distances on maps. Translate a shape by a given vector. Find a scale factor of an enlargement. M9.17 S11: I can identify planes of symmetry in 3D shapes, and draw plans and elevations. Draw a 3D shape having seen its plans and elevations. Draw plan, side and front views of 3D shapes, state the rotational symmetry of a 3D shape. Draw planes of symmetry in 3D shapes. Form simple expressions in real life situations e.g. James is x years old, Mary is 4 years older. Write an expression, in terms of x for Mary's age. Plot coordinates in all four quadrants. Measure and draw different angles. Reflect a shape in a line. Understand the meaning of the words clockwise, anti-clockwise, quarter turn, half turn and rotate. Enlarge shapes without a centre of enlargement. State the number of faces, edges and vertices a 3D shape has, draw lines of symmetry.

4 Key Performance Indicators Maths (Data) M9.18 D1: I can use a variety of statistical tables, charts and graphs to display and interpret data. Draw scatter graphs and lines of best fit, understand correlation, interpolation, extrapolation and outliers, Use the line of best fit to make predictions. Draw and interpret time series graphs, scatter graphs and line of best fits, calculate the mean, mode, median and range from a stem and leaf. Draw pie charts and read information from them, Draw and interpret back to back stem and leaf diagrams. M9.19 D2: I can use two way tables to solve problems. Solve problems involving two-way tables. two way tables. Design data collection sheets and Draw and interpret two-way tables. M9.20 D3: I can find the averages and the range from a frequency table and solve problems using the averages. Solve problems and make decisions based on the mean, median, mode and range. Find the mean, median, mode and range from a grouped frequency table. Compare two sets of data using an average and the range. Find the mean, median, mode and range from a frequency table. Select the most appropriate average to use to represent a set of data. Understand grouped data and frequency tables by inputting data and taking it out. M9.21 D4: I can find probabilities including tree diagrams. Solve applied probability problems using the 'and or' rule. Find the probability of combined dependent and independent events, using probability tree diagrams where appropriate. Complete tree diagrams. Draw and interpret information from bar charts and stem and leaf diagrams. Fill in two-way tables. Calculate the mean, mode, median and range from a list. Draw a frequency table to collect data. Identify dependent and independent events.

5 Key Performance Indicators Maths (Algebra) M9.22 A1: I can simplify algebraic expressions involving brackets. Simplify expressions involving Distinguish between expressions, quotients. Expand the product of equations, identities and formula. three binomials. Expand the product of two binomials. M9.23 A2: I can factorise expressions. Solve quadratic equations by factorising, completing the square and the quadratic equations. Fully factorise quadratic expressions. M9.24 A3: I can solve algebraic equations and rearrange formulae. Setting up and solving equations. Solve equations with an unknown on Rearranging formulae involving both sides and / or involving powers, roots and factorising fractions or brackets. Rearranging formulae with a quotient. M9.25 A4: I can draw linear, quadratic, reciprocal and cubic graphs. Draw cubic graphs. Draw reciprocal graphs. M9.26 A5: I can find the equation of a line. Find the equation of a line going Find the gradient of a line and the through a point. midpoint of a line segment. M9.27 A6: I can draw and interpret real life graphs. Find the average speed at different points on a real life graph. Interpret and draw real life graphs, including distance-time and velocitytime graphs. Collect like terms and find common factors to simplify algebraic expressions. Expand and simplify the sum of 2 brackets. Fully factorise linear expressions. Solve two step equations, solve equations using substitution. Write an equation as a flow chart and use this to rearrange formulae. Draw quadratic graphs. Identify the gradient and the y- intercept of a line from its equation. Interpret distance-time graphs and other real life graphs. M9.28 A7: I can solve simultaneous equations graphically and algebraically. Solve worded problems using simultaneous equations. Solve simultaneous equations with different coefficients of x and y. Solve simultaneous equations with the same coefficient of either x or y. Understand and use correct vocabulary and notation. Expand single brackets. Identify the highest common factor and lowest common multiple of a pair of numbers. Solve one step equations and set up expressions and find their values. Use inverse operations in function machines. Draw linear graphs. Identify if lines are parallel with one another. Describe what is happening in each part of a real life graph. Create a story and make a real life graph to describe it. Draw linear graphs and identify where they intercept.

6 Key Performance Indicators Maths (Ratio) M9.29 A1: I can multiply and divide integers and decimals. Divide a decimal number by another. Multiply a decimal by another decimal. M9.30 A2: I can use ratios, sharing an amount and solving problems. Solve problems involving currency Share an amount into a given ratio. conversions and recipes. Multiply single digits by decimals and link this to multiplying integers. Simplify ratios and write them in the form 1:n. Multiply and divide integers. Write items in ratio form.