In Maths, each class is allocated to a grade. The work for each grade for this half term is outlined on the following slides. You need to know which grade you are learning about to know which section to look at. Grade 1 LEARNING AND PROGRESS PLAN GRADE 1: MEASURES By the end of this topic you should be able to...... Tell the time from a clock face. Know when to use am or pm when telling the time. Work out how long an event has lasted for. Work out the finish time of an event, given the start time and how long it lasts for. Work out the start time of an event, given the finish time and how long it lasts for. Measure and draw lines to the nearest millimetre. Measure and draw angles to the nearest degree. Read scales on a range of measuring instruments, including those for temperature and mass. Choose sensible metric units to measure length, mass and capacity. Convert metric measures of length. Convert metric measures of mass. Convert metric measures of capacity. Notes LEARNING AND PROGRESS PLAN GRADE 1: STATISTICS 1 By the end of this topic you should be able to...... Use tallies to help you collect data. Draw a frequency table and use it to collect data. Draw a bar chart. Read information from a bar chart. Draw a pictogram. Read information from a pictogram. Draw a line graph to show data at evenly spaced time intervals. Read information from a line graph. Use a line graph showing data over time to make predictions about the future. Summarise the important conclusions that can be made by reading information from a graph. Notes LEARNING AND PROGRESS PLAN GRADE 1: GEOMETRY 1 By the end of this topic you should be able to...... Know the number of degrees in a full turn, half turn, quarter turn and three-quarter turn. Name angles as either acute, obtuse, reflex or rightangles. Use letters to identify an angle, for example, ABC. Use letters to identify lines and points on a line. Know that, for example, in rectangle ABCD the points go round in order. Identify and draw parallel lines. Identify and draw perpendicular lines. Identify the equal sides of a 2D shape using standard markings. Notes LEARNING AND PROGRESS PLAN GRADE 1: ROUNDING & APPROXIMATION By the end of this topic you should be able to...... Round numbers to the nearest 10. Round numbers to the nearest 100. Round numbers to the nearest 1000. Notes Grade 2 LEARNING AND PROGRESS PLAN GRADE 2: PERIMETER, AREA & VOLUME By the end of this topic you should be able to...... Work out the area of a triangle. Work out the area of shapes made from rectangles and triangles. Work out area of a parallelogram. Find missing lengths in rectangles, triangles and parallelograms, given the area. Work out the surface area of 3D shapes with rectangular and triangular faces. Work out the volume of a cube or a cuboid, Work out missing lengths of cubes or cuboids if you know the volume. Solve problems involving the volume of cubes and cuboids, for example, calculating how many boxes will fit into a crate. Notes LEARNING AND PROGRESS PLAN GRADE 2: FRACTIONS By the end of this topic you should be able to...... Work out a fraction of an amount (with any numerator). Use a fraction of a quantity to compare proportions. Work out one quantity as a fraction of another. Convert between mixed numbers and improper fractions. Add fractions with different denominators. Subtract fractions with different denominators. Compare / order fractions by writing them with the same denominator. Notes LEARNING AND PROGRESS PLAN GRADE 2: SEQUENCES By the end of this topic you should be able to...... For a series of diagrams, draw the next diagram in the sequence. Write down the sequence represented by a series of diagrams. For a series of diagrams, determine the term-to-term rule and use this to work out missing terms or continue the sequence. Notes LEARNING AND PROGRESS PLAN GRADE 2: TRANSFORMATIONS By the end of this topic you should be able to...... Understand the meaning of the word 'congruent'. Identify shapes that are congruent. Understand the meaning of the word 'similar'. Identify shapes that are similar. Know that all circles, squares and regular polygons with equal numbers of sides are similar. Notes Grade 3 LEARNING AND PROGRESS PLAN GRADE 3: STATISTICS By the end of this topic you should be able to...... Draw a pie chart. Read information from a pie chart. Draw and interpret a frequency polygon. Plot points on to a scatter diagram. Recognise and name positive, negative or no correlation as types of correlation. Draw a line of best fit if the correlation is strong enough and recognise that it is not possible to draw a line of best fit if the correlation is not strong enough. Understand outliers and make decisions about whether to include them when drawing a line of best fit. Recognise that a correlation can exist without necessarily meaning that one variable is causing the other. Understand the difference between qualitative, discrete and continuous data. Know which graphs should be used to represent different types of data. Compare two graphs to make a conclusion about a hypothesis. Find the mean, median, mode and range from a frequency table. Use the mean, median or mode and the range to compare two data sets. Notes LEARNING AND PROGRESS PLAN GRADE 3: FRACTIONS By the end of this topic you should be able to...... Add and subtract fractions with uncommon denominators. Convert between mixed numbers and improper fractions. Add mixed numbers. Subtract mixed numbers. Multiply fractions. Divide fractions. Recognise when solving a worded problem that you need to add / subtract / multiply / divide fractions. Notes LEARNING AND PROGRESS PLAN GRADE 3: PROBABILITY By the end of this topic you should be able to...... Be able to use a frequency table to record the outcomes of an experiment. Be able to complete a frequency tree. Be able to use a frequency tree to compare the frequencies of different outcomes. Be able to calculate the expected frequency of an outcome based on its probability. Notes Grade 4 LEARNING AND PROGRESS PLAN GRADE 4: ROUNDING & APPROXIMATION By the end of this topic you should be able to...... Round numbers to a given number of decimal places. Round numbers to a given number of significant figures. Find approximate answers to calculations by rounding all numbers to one significant figure. Know that measurements that are rounded to the nearest whole number may be inaccurate by up to one half in either direction. State the minimum and maximum values for a measurement that has been given to the nearest whole number. Notes LEARNING AND PROGRESS PLAN GRADE 4: GEOMETRY By the end of this topic you should be able to...... Derive and use the proof that the angle sum of a triangle is 180°. Derive and use the proof that the exterior angle of a triangle is equal to the sum of the other two vertices. Understand what is meant by 'interior angle' and 'exterior angle'. Calculate the size of an exterior angle in a regular polygon. Use an exterior angle to calculate the size of an interior angle. Calculate the sum of the interior angles in any polygon using the formula 180(n - 2), where n is the number of sides. Understand when it is appropriate to use Pythagoras' theorem. Use Pythagoras' theorem to find the length of the hypotenuse in a right-angled triangle. Use Pythagoras' theorem to find the length of a shorter side in a right-angled triangle. Use Pythagoras' theorem to find the distance between two points on a coordinate grid. Use Pythagoras' theorem to solve a range of worded problems. Notes LEARNING AND PROGRESS PLAN GRADE 4: DECIMALS By the end of this topic you should be able to...... Find a decimal of an amount by converting the decimal to a fraction or a % (for multiples of 0.05). Find a decimal of an amount by using the decimal as a multiplier. Write down the decimal of a shape that is shaded. Use a decimal to shade a part of a shape. Divide an integer or a decimal by a decimal number (up to one decimal place). Use a given calculation to find the answers to linked calculations. Notes Grade 5 LEARNING AND PROGRESS PLAN GRADE 5: STATISTICS By the end of this topic you should be able to...... Find the mean, median, mode and range from a frequency table. Find an estimate of the mean from a grouped frequency table. Find the group where the median lies from a grouped frequency table. Find the modal group from a grouped frequency table. Plot a scatter diagram, draw a line of best fit and use this to make estimates. Describe the type and strength of correlation shown on a scatter diagram. Draw pie charts. Interpret pie charts. Write comparisons of two data sets and draw a conclusion about a hypothesis. Notes LEARNING AND PROGRESS PLAN GRADE 5: ROUNDING & APPROXIMATION By the end of this topic you should be able to...... Round numbers to a given number of decimal places or significant figures. Approximate answers to calculations by rounding all numbers to one significant figure. Use inequality symbols to show the possible range of values a rounded number could take. Notes LEARNING AND PROGRESS PLAN GRADE 5: COORDINATES & GRAPHS 1 By the end of this topic you should be able to...... Understand that if two line graphs are parallel, they will have the same gradient. Rearrange equations of straight line graphs into the form y = mc + c so that you can tell whether they are parallel. Work out the equation of a straight line graph from a drawing of the graph by working out the gradient and the y-intercept. Work out the equation of a straight line graph if you are given the coordinates of two points that are on the line. Work out the equation of a straight line graph if you are given the gradient of the line and the coordinates of one point on the line. Use straight line graphs to find the approximate solutions to two simultaneous equations by finding their point of intersection. Notes LEARNING AND PROGRESS PLAN GRADE 5: PERIMETER, AREA & VOLUME 1 By the end of this topic you should be able to...... Calculate the length of an arc. Calculate the area of a sector. Given the length of an arc, find the angle subtended at the centre. Given the area of a sector, find the angle subtended at the centre. Give answers in terms of pi and use pi in calculations. Notes Grade 6/7 LEARNING AND PROGRESS PLAN GRADE 6: SEQUENCES By the end of this topic you should be able to...... Work out the formula for the nth term of a quadratic sequence. Use the nth term of a quadratic sequence to determine whether a number will be in the sequence. Use the nth term of a quadratic sequence to find higher terms in the sequence. Work out the nth term of a geometric sequence. Work out the nth term of a sequence of powers of 2 or powers of 10. Notes LEARNING AND PROGRESS PLAN GRADE 6: GEOMETRY By the end of this topic you should be able to...... Apply knowledge of Pythagoras' theorem to a range of 3D problems. Memorise the nine circle theorems. Apply the nine circle theorems to questions to be able to find missing angles. Use congruent triangles to explain why the perpendicular from the centre to the chord bisects the chord. Prove and use the fact that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference. Prove and use the fact that the angle subtended at the circumference by a semi-circle is a right-angle. Prove and use the fact that angles in the same segment are equal. Prove and use the fact that oppostite angles of a cyclic quadrilateral add up to 180°. Prove and use the alternate segment theorem. Notes LEARNING AND PROGRESS PLAN GRADE 6: TRANSFORMATIONS By the end of this topic you should be able to...... Enlarge a shape using a fractional scale factor. Describe an enlargement using a fractional scale factor and the centre of enlargement. Enlarge a shape using a negative scale factor. Describe an enlargement using a negative scale factor and the centre of enlargement. Transform shapes using a combination of rotations, reflections, translations and enlargements. Describe a transformation that has involved a combination of rotations, reflections, translations and enlargements. Describe a combination of transformations as a single transformation. Use the word ‘invariance’ to describe points, lines or shapes after single or combined transformations. Notes LEARNING AND PROGRESS PLAN GRADE 6: CONSTRUCTIONS & LOCI By the end of this topic you should be able to...... Know how to construct inscribed regular polygons by splitting a circle into equal parts. Notes
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