Fractions, Decimal Fractions. Whole Numbers. and Percentages. Decimals. Ratio. Special Numbers. Algebra. Scientific Notation
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- Marylou Eaton
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1 Whole Numbers Fractions, Decimal Fractions 4.03a 4.03b I can solve problems in context using whole numbers I can use the order of operations to carry out a calculation 4.07a and Percentages I know when to use a fraction, a decimal fraction or a percentage when carrying out a calculation 4.07b I can add, subtract, multiply and divide fractions in context Decimals 4.03a I can solve problems in context using decimal fractions Ratio 4.08a I can use direct proportion in context I can use indirect proportion in context Special Numbers 4.06a I can work with powers and roots of numbers Algebra 4.14a I can multiply expressions eg 3 x a x a = 3a 2 I can multiply out brackets eg 4(x-2y) = 4x 8y 4.06b Scientific Notation I can change from scientific notation to ordinary numbers and vice versa eg 3200 = 3 2 x 10 3, 6 7 x 10-5 = b I can factorise using a common factor eg 10x 25 = 5(2x 5) I can solve equations like 5x + 7 = 3x + 11; 4y - 8 = 6y + 2; 3x + 6 = 2(x - 9); (7x - 4)/2 = a Solve inequations like 2x + 1 > 3: 6x - 4 < 8 Negative Numbers/Coordinates 4.18a 4.18b 4.13c I can use my knowledge of the 4 quadrant coordinate grid to read and plot points I can use my understanding of the 4 quadrant coordinate grid to move or transform a point or shape on the grid I know the equation of a horizontal line is y =k and a vertical line is x = k 4.19a Symmetry I can use appropriate vocabulary to describe the rotational properties of shapes I can use my understanding of rotational symmetry to complete and create designs
2 Time Pythagoras Theorem 4.10b I can work out the time taken, distance covered or the speed travelled using my knowledge of speed, distance and time I can construct and interpret Distance/Time graphs 4.16a I know and can use Pythagoras Theorem I can calculate the distance between 2 points on a coordinate grid Circle I know and can use C = πd in circles I know and can use A = πr 2 in circles I can calculate the area of a sector given the angle at the centre and radius or diameter I can calculate an arc length given the angle at the centre and radius or diameter I can find the angle at the centre given the arc length or area of a sector triangle within a circle using properties of isosceles triangles triangle using angles in a semicircle I can solve problems involving triangles with a semi-circle circle using the properties of tangents to a circle I can solve problems involving triangles with a circle using the properties of tangent to a circle 4.20b 4.21a 4.22a Statistics I can calculate the mean, median, mode(ungrouped) I can draw & interpret stem and leaf graphs I can draw & interpret scatter diagrams I can describe correlation in scattergraphs I can draw & interpret bar graphs (grouped) I can draw & interpret pie charts I can recognise discrete (counted) & continuous (measured) data I can use sampling to avoid bias I can use likely, unlikely, highly likely etc to describe probability I know that probability lies 0 1 I know that the probability of an impossible event is 0 and certain event is 1 I can determine probability as a fraction or decimal 4.16b 4.17a Number Patterns 4.11b Area I can calculate the surface area of a simple 3D shape 4.13a I can copy and complete a number sequence or pictorial pattern I can derive a formula for a linear pattern in the form I can derive a formula for a linear pattern in the form I can derive a formula for a non linear pattern I can use my formula to solve related problems
3 4.13b 4.13c 4.13d 4.17b Straight Line I can describe the slope of a line I can calculate the gradient using the gradient formula I can find the gradient of a line given the gradient of a line parallel to it I can find the gradient of a line given the gradient of a line perpendicular to it I know the equation of a horizontal line is y =k and a vertical line is x = k I can find the equation of a straight line in the form using the gradient and y-intercept I can find the y-intercept of a line given the gradient and another point on the line I can find the gradient and y- intercept from an equation of a straight line in the form I can write the equation of a straight line given the gradient and y-intercept I can draw a straight line given its equation in the form I can sketch a straight line given its equation in the form I can find the gradient and y- intercept of a line from its general equation, by changing the subject of the formula I can use the equation of a straight line in everyday use and use it to solve related questions Similarity I can make enlargements and reductions of shapes given the scale factor I can calculate the enlargement or reduction factor given pictorial diagrams I know the difference between congruent and mathematically I can calculate missing lengths in I can calculate missing areas in I can calculate missing volumes in 4.11c 4.01a 4.09a 4.09b 4.10a Volume prism cylinder cone sphere I can calculate the volume of composite shapes I can calculate a missing dimension if I am given the volume Tolerance I can use my knowledge of tolerance when choosing the required degree of accuracy Money/Personal Finance I can discuss and illustrate the facts I need to consider when determining what I can afford, in order to manage credit and debt and lead a responsible lifestyle I can source information on earnings and deductions and use it when making calculations to determine net income I can calculate gross pay I can calculate income tax I can calculate deductions I can calculate net pay Time I can contrast aspects of time in planning activities
4 4.12a Maths in the Workplace I know how important Maths is and how it is used in different careers 4.20a Graphical Data I can illustrate real life data using a variety of graphs and charts General Maths Aims Show all working carefully Take care with presentation of work Work quietly when required Check for careless mistakes Listen carefully to lessons Curriculum for Excellence Aims I can respect the views of others I can make informed decisions I can work in partnership or in teams I can lead a group I can solve problems I can use technology for learning I con contribute to class lessons I can link and apply different kinds of learning to a new situation
5
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