Level 4 Course Outline. Unit 1
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1 Level 4 Course Outline Unit 1 1 Tolerance and Accuracy (Include Sig. Fig. s) MNU 4-01a, 4-11a I can round to any number of significant figures. I am aware that error and inaccuracy rounding can be caused by inappropriate rounding for the context. I can explain the meaning of tolerance in measure. I can use and interpret the notation for tolerance. I can identify the upper and lower bounds of a single measurement. I can discuss why some occupations rely on an increased level of accuracy when rounding. 2 Volume and nets of 3D Shapes MTH 4.11b, MTH 4.11c I can explain what a net is. I can draw a net of a simple 3D object. I can explain what the surface area of a 3D object is. I can calculate the surface area of simple 3D objects. [cube, cuboid, triangular prism, cylinders] I can recognise and name prisms. I can find the volume of a prism, including cuboid, triangular prism and compound prisms made of these. I can calculate the volume of a pyramid, cone and sphere. (N5) I can apply my knowledge of volume to solve basic problems. (working backwards etc covered in National 5) 3 Time Management MTH 4.10a I can discuss why time management is important in my life and the way it may impact on my decision making. I can work within the parameters of time in life. I can recognise that my decisions impact on others.
2 4 Raw data MNU 4-20a MTH 4-21a (Revision of scattergraphs, pie charts, stem and leaf and averages for N4 students) I can work complete pie chart questions without the use of a calculator. I can write a five figure summary and calculate SIQR or IQR. I can calculate SIQR and IQR and make valid comparisons between median and range. I can evaluate data in raw and graphical form. I can interpret data in raw and graphical form. I can consider many factors when interpreting data. I can communicate my findings in context. I can group data into class intervals, choosing the size of the class intervals. (standard deviation covered in N5). 5 Probability MNU 4-22a I can use probability to predict how likely an event is to occur. I can calculate how many times I expect an event to occur. I can use my information about expectation to make informed choices and decisions. I can compare sets of data using probability (fractions N5 and decimal N4). 6 Straight Line (y = mx + c and gradient) MTH 4-13b, MTH 4-13c, MTH 4-13d I can find the equation of a horizontal/vertical line. I can construct a table of values to help draw a straight line. I can draw and label axes for my graph. I can plot points and join them up to make a straight line. I can use my graph to answer related questions.
3 Unit 2 7 Rearranging Formulae (N5 Intro.) I can change the subject of a linear formula. I can change the subject of a function involving fractions. I can change the subject of a function involving powers. 8 Trigonometry MTH 4.16a I can label the hypotenuse, opposite and adjacent sides of a right-angled triangle. I know the trig ratios using SOHCAHTOA. I can find the size of an angle in a right-angled triangle using trigonometry. I can find the length of a side in a right-angled triangle using trigonometry: Simple case (x is the numerator), Advanced case (x is the denominator). I can use trigonometry to solve side and angle problems for right-angled triangles. 9 Circle and Angles MTH 4.17a Credit Bk1 (Recap parallel lines for N4 candidates.) I can identify and draw a tangent to a circle. I can identify the right angle where a tangent meets a radius (and tangent kite). I can create a right-angled triangle using a radius, tangent and another line. I can create a triangle within a semi-circle. I can label the right angle in a triangle in a semi-circle. I can use the different properties of circles to calculate missing angles. Extension (Right-angled Triangles in circles & tangents etc)
4 10 Proportion MNU 4.08a Credit Bk2 I can recognise quantities which are in direct proportion. I can carry out calculations involving quantities in direct and indirect proportion. I can draw and recognise graphs of quantities that are in direct and indirect proportion. 11 Famous Mathematicians Presentation MTH 4.12a 12 Dilation & similar Figures MTH 4.17b (MIAs1 3 ) I can identify similar and congruent figures. I can identify corresponding sides in a pair of similar shapes. I can understand how to use the scale factor. I can calculate the scale factor for a pair of similar shapes. I can use the scale factor to find unknown sides. I can calculate the area factor for a pair of similar figures. I can find the unknown area for a pair of similar figures. I can find the unknown volume for a pair of similar figures. (Similar triangles and working backwards covered in N5).
5 Unit 3 13 Angles in Polygons I can find the exterior and interior angles of regular polygons I know that angles inside a quadrilateral add to I can use my angle knowledge to find missing angles within shapes. 14 Transformations MTH 4-18b I can identify the image of transformation. I can reflect points in a given line. I can draw a line of reflection for a point/shape given the points and their image. I can give the coordinates of a point/shape after reflection. I can translate a point/shape given instructions. I can give the coordinates of a point/shape after translation. I can rotate a point/ shape given the direction and angle of rotation. I can give the coordinates of a point/shape after rotation. 15 Percentages MNU 4-07a I can use compound interest to find the amount of interest over a repeated period of time. I can work backwards to find the initial value. 16 Scientific Notation & Indices MTH 4-06a I can use scientific notation in calculator questions. I can understand the relation between powers and roots. I can find the square root (and cube root) of numbers mentally. I can recognise and interpret the notation for the nth root and use my calculator to find the n th root. I know that a 0 = 1 (a can be any number except zero). I can multiply two indices together using the multiplication rule. I can divide two indices using the divison rule.
6 17 Equations with fractions MTH 4-15a I can construct equations to model real life situations. I can use inequalities to model real life situations. I can solve equations and inequalities using a suitable method (including fractions). 18 Intro. To graphs of quadratic functions (Sketching a graph given a table of values) I can use a table of values to find y-coordinates for given x-coordinates. I can choose appropriate x-coordinates for my table of values. I know that a quadratic is an expression involving a squared term as its highest power. I know the general shape of the graph of a quadratic function. Covered in Level 3 course: MTH 4-03b (BODMAS) MTH 4-06b (Scientific notation) MTH 4-07b (Fractions operations) MNU 4-09a, MNU4-09b, MNU 4-09c (Financial Maths) MNU 4-10b (DST - decimal times) MTH 4-13a (Linear Number Patterns) MTH 4-14a (Multiplying out brackets and evaluating algebraic expressions) MTH 4-14b (Factorising by common factor) MTH 4-16b (Area and circumference of a circle) MTH 4-19a (Rotational symmetry) MTH 4-18a (Coordinates) MTH 4-20b (Finding averages and range)
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