Apply multiplication facts to solve division problems.

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1 of Number Level 3 means I can: Apply multiplication facts to solve division problems. Understand place values up to Approximate numbers up to Use decimals when dealing with money. Apply multiplication facts to solve division problems. Recognise negative numbers, such as when dealing with temperature. Add and subtract two digit numbers in my head. Use a written method to add and subtract two and three digit numbers. Solve division problems involving remainders. Use simple fractions. Recognise when 2 fractions are the same. Level 4 means I can: Use place values to multiply/divide by 10 or 100. Remember multiplication facts up to 10 x 10. Add, subtract, and do short multiplication and division with pencil and paper. Add, subtract and put decimals in order. Recognise and use simple fractions, percentages and proportion. Explain what a ratio means. See and describe number patterns. Explain what factors and multiples are. Be able to square a number and find the square root of a square number. Explain what happens when we do experiments more than once. Multiply a simple decimal by a single digit. Use a calculator to solve simple problems. Explain whether my answer is reasonable based on the sizes of the other numbers I am working with. Verulam School KS3 Mathematics 2010 Page 1

2 Number Level 5 means I can: Multiply and divide decimals by 10, 100, 1000 and explain the effect. Add, subtract, multiply, and divide decimals with 2 decimal places. Calculate fractions and percentages of a quantity. Multiply and divide a 3 digit number by a 2 digit number without a calculator. Order, add, and subtract negative numbers. Use simple estimations and inverse operations to check my answers. Round decimals to a given decimal place. Convert between fractions and decimals. Put fractions and decimals in order from smallest to largest. Solve simple problems involving ratio and direct proportion. Reduce a fraction to its simplest form. Recognise and use number patterns and relationships such as division rules. Work out and explain relative frequency from experiments. Level 6 means I can: Calculate using percentages. Use percentage increase and decrease. Divide something in a ratio, like dividing 30 in the ratio 2:3. Add and subtract fractions by finding a common denominator. Calculate fractions of amounts where the answer is not a whole number. Multiply and divide whole numbers by fractions. Convert between fractions, decimals and percentages and compare proportions. Use proportional reasoning to solve a problem, using the correct numbers for 100%. Verulam School KS3 Mathematics 2010 Page 2

3 of Number Level 7 means I can: Round numbers to 1 significant figure. Explain the effect of multiplying/dividing by a number between 0 and 1. Solve numerical problems with a calculator efficiently. Explain proportional change. Estimate calculations by rounding to one significant figure. Level 8 means I can: Do calculations with powers, roots and numbers in standard form. Use fractions or percentages to solve problems involving repeated proportional change. Find the original quantity given the result of a proportional change (reverse percentages). Explain what a recurring decimal is and the difference between it and a fraction. Verulam Mathematics Marking Scheme Your teacher will mark your work and write comments on your work to show you how to improve your mathematics. It is important that the school presentation policy is followed and that all work is neat and tidy. Your teacher will start your mathematics comment with the following; Your comment will start with Excellent Good Satisfactory Poor Incomplete What it means Excellent work with minor errors. All working out has been shown and you show excellent understanding of the key mathematical concepts Good with most working out shown and with the majority of work correct Satisfactory Little working out shown. You show some understanding Poor- No working out shown. You show little understanding Incomplete work- you have not completed all the work that was set Verulam School KS3 Mathematics 2010 Page 3

4 of Algebra Level 3 means I can: Recognise sequences. Explain what the equals sign is used for. Level 4 means I can: Recognise and describe simple number patterns, such as multiples, factors and square numbers. Begin to use simple formulae in words. Use and read coordinates with just positive numbers. Level 5 means I can: Write and use simple formulae. Use coordinates in all four quadrants. Level 6 means I can: Solve equations using a Trial and Improvement method. Find the next term in a sequence using term to term rules Write an algebra expression for the nth term in a sequence Write equations to describe word problems and solve these. Graph lines like y = 4, y = 2x, and y = 2x + 3. Draw a graph and write an algebra expression to describe a real-life problem. Draw conclusions from real life graphs. Find any term in a sequence using the position to term rule. Verulam School KS3 Mathematics 2010 Page 4

5 Unit of Algebra Level 7 means I can: Rearrange a formula to change its subject. Describe the next term or nth term in a quadratic sequence. Solve simultaneous equations using graphs. Solve simultaneous equations using algebra. Multiply things like (x + 2)(x + 5) to get x 2 + 7x Solve a quadratic like x 2 + 7x + 12 = 0 to get x = -2 and -5. Solve inequalities like 6(2n + 1) > 18. Use formulas from mathematics and other subjects. Substitute numbers into expressions and formulas. Level 8 means I can: Substitute decimals, fractions, and negative numbers into formulas. Manipulate algebraic formulas. Multiply two linear expressions. Solve inequalities with two variables. Draw graphs of quadratic, cubic and reciprocal functions. Factorise quadratic expressions, including the difference of two squares. Explain what happens to a graph when I add or multiply by a constant. Verulam School KS3 Mathematics 2010 Page 5

6 of Shape, Space and Measures Level 3 means I can: Sort shapes using symmetry and other ideas. Draw what different shaped boxes look like when they are opened out flat. Recognise different views of the same shape when drawn on paper. Draw the reflection of a shape in a mirror line. Describe where shapes are and how they have moved. Use metres, litres and grams to measure different objects correctly. Also use other s to measure these objects. Tell the time correctly. Level 4 means I can: Describe what shapes look like and explain how they are similar/different. Make 3-D models and know about their faces and edges. Draw well-known shapes. Draw reflections of shapes in a mirror line. Draw a shape after it has moved across or up. Describe what shapes look like and explain how they are Measure accurately using the correct equipment and write down the correct s. Read the scale on a measurement instrument accurately. Find the perimeter of a shape. Find the area of a shape by counting squares. Verulam School KS3 Mathematics 2010 Page 6

7 Shape, Space and Measures Level 5 means I can: Give accurate descriptions of different shapes and explain how shapes are similar and different. Find all the line and turn/rotational symmetries of 2-D shapes. Name and describe different types of angles.w32q Remember what the angles in a triangle add to. Remember what the angles in a complete turn add to. Use these facts to work out the size of a missing angle. Predict where a shape is going to end up and what it will look like compared to where it started on a grid. Use a protractor to measure and draw angles accurately. Read a range of scales accurately, and can work out what each section between the numbers represents. Convert one metric to another, like millimetres to metres. Convert s from one system to another, like miles to km. Estimate various everyday measures such as the length of a table. Describe the difference between area and perimeter. Use the correct formulas to find the area and perimeter of a rectangle. Verulam School KS3 Mathematics 2010 Page 7

8 Shape, Space and Measures Level 6 means I can: Use all the different properties of quadrilaterals. Solve problems which involve angles on intersecting and parallel lines. Solve angle problems in polygons. Spot which angles are alternate and which are corresponding. Follow a proof which shows that the angles in a triangle add to 180 and the angles in a quadrilateral add to 360. Write instructions to make a computer draw a shape or change it. Recognise and use 2-D versions of 3-D shapes. Enlarge a shape using a positive scale factor. See that reflections, translations, and rotations do not change the size of a length or an angle. Use a ruler and compasses to construct: - the bisector of an angle - the perpendicular bisector of a line - a line perpendicular to a line at a point, and -- - other constructions Find the formula for the area of a triangle and a parallelogram and can use these formulas in calculations. Recall the formula for the volume of a cuboid. Calculate the volume and the surface area of a cuboid. Recall and use the formulas to find the area and circumference of a circle. Verulam School KS3 Mathematics 2010 Page 8

9 Shape, Space and Measures Level 7 means I can: Use Pythagoras Theorem (a 2 = b 2 + c 2 ) to find the length of a side of a right-angled triangle. Use Pythagoras Theorem to solve word problems. Calculate length and area of 2D shapes Calculate length, area and volume of some simple prisms. Enlarge a shape using a fractional scale factor. Describe how the two shapes are mathematically similar. Describe what a locus is and apply this knowledge to draw or describe the solution to real-life problems. Explain why measurements are only as good as the tool used to measure. Find the limits of a measurement. Explain and use compound measures such as speed in km per hour. Level 8 means I can: Use the SOHCAHTOA/sin, cos, tan/ trig formulas to solve problems. Use this information to calculate lengths of sides and sizes of angles in right angle triangles. Look at a formula and work out whether it is for length, area or volume. Verulam School KS3 Mathematics 2010 Page 9

10 of Data Handling Level 3 means I can: Collect information. Draw bar charts. Draw pictograms (where a symbol represents a group of s). Use a Venn diagram to sort information. Use a two-way table to sort information. Find/use information from lists, tables, pictograms, and bar chart. Level 4 means I can: Collect information and put it into a tally table. Write the frequencies from a tally table. Work out the mode and range for sets of data. Put data into groups and draw the frequency diagram (bar chart). Explain what frequency diagrams mean. Draw my own versions of line graphs. Level 5 means I can: Work out and explain the mean of a group of data. Compare two groups of data using mean, mode, median and range. Explain what graphs and diagrams mean, including pie charts. Describe events using numbers on the probability scale from 0 to 1. Work out probabilities from experiments. Explain what equally likely outcomes are. Interpret results from experiments. Explain what happens when we do experiments more than once. Verulam School KS3 Mathematics 2010 Page 10

11 Data Handling Level 6 means I can: Collect and record continuous data. Put data into groups and make frequency tables. Draw and explain frequency diagrams. Draw pie charts. Draw scatter graphs and explain types of correlations. Identify all the different outcomes with combined probabilities. Level 7 means I can: Calculate the probabilities of combined events. Make a prediction and then check to see if it is true or not. Write relevant comments on my findings from an investigation. Work out the modal class and estimate the mean, median and range when data is in groups. Choose the appropriate average for a set of data. Draw lines of best fit onto scatter graphs. Work out and explain relative frequency from experiments. Level 8 means I can: Draw cumulative frequency tables and graphs. Find the median and interquartile range on a cumulative frequency graph. Use information from a cumulative frequency graph to compare two sets of data. Verulam School KS3 Mathematics 2010 Page 11