13 – Frequency Tables and Bar Charts
At the end of this lesson you will be able to:
[1] Group data and compile grouped frequency tables;
[2] Draw bar charts for grouped data;
[3] Collect, classify and tabulate statistical data.
At the end of this lesson you will be able to:
[1] Group data and compile grouped frequency tables;
[2] Draw bar charts for grouped data;
[3] Collect, classify and tabulate statistical data.
At the end of this lesson you will be able to:
[1] Work out probability of an event
[2] Work out probability by experiment
[3] Work out probability from a frequency table
[4] Work out probability from a possibility space
At the end of this lesson you will be able to:
[1] Draw quadratic graphs and identify maxima/minima;
[2] Use quadratic graphs to solve equations of the form f(x) = c.
At the end of this lesson you will be able to:
[1] understand and work out the probability of an event, mutually exclusive outcomes add up to 1;
[2] compile and use a possibility space;
[3] work out the probability from a frequency table.
At the end of this lesson you will be able to:
[1] Find the probability by experiment; understand and work out the probability of an event;
[2] Compile and use a possibility space;
[3] Work out the probability from a frequency table.
At the end of this lesson you will be able to:
[1] Understand the terms arc, sector & segment of a circle
[2] Work out the length of arc and area of sector of a circle
[3] Work out area of a segment of a circle
[4] Work out area of compound shapes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
At the end of this lesson you will be able to:
[1] Understand a proof that the angle sum of a triangle is 180°;
[2] Understand a proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices;
[3] Solve problems involving the angles of triangles;
[4] Understand a proof that the angle sum of a quadrilateral is 360°;
[5] Understand and use properties of the quadrilaterals to solve problems involving angles.
At the end of this lesson you will be able to:
[1] Derive the sum of the exterior/interior angles of a polygon;
[2] Calculate and use the sums of the interior and exterior angles of regular and irregular polygons.
At the end of this lesson you will be able to:
[1] Derive and use the formula for the area of a parallelogram.
[2] Derive the formula ½ × base × perpendicular height for the area of a triangle.
[3] Use the formula for the area of a triangle in composite shapes.
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
Mathematics Annual Examination issued by Directorate for Learning and Assessment Programmes
By the end of this lesson you will be able to:
[1] Solve two linear equations simultaneously;
[2] Solve two simultaneous equations graphically;
[3] Solve problems leading to the solution of simultaneous linear equations.
At the end of this lesson you will be able to:
[1] Find the volume of compound shapes and prisms made up of cuboids;
[2] Find the total surface area of solids made up of cuboids.
At the end of this lesson you will be able to:
[1] Draw and interpret bar charts for ungrouped discrete data.
[2] Draw and interpret bar charts for grouped data; Compile and interpret frequency tables for grouped discrete data; Draw a bar chart with equal intervals from a frequency table.
[3] Draw and interpret pie charts.
At the end of this lesson you will be able to:
[1] Work out the surface area and volume of a sphere;
[2] Rearrange the formula for surface area/volume of sphere to find radius.
At the end of this lesson you will be able to:
[1] Work out the surface area and volume of a pyramid/right circular cone;
[2] Work out the volume of a frustum of a pyramid/right circular cone;
[3] Work out the missing radius, height or slant height.
At the end of this lesson you will be able to:
[1] Derive and use the formulae for the volume and surface area of a cylinder;
[2] Rearrange the formula for surface area/volume of cylinder to find radius and height.
At the end of this lesson you will be able to:
[1] solve problems involving angles at a point;
[2] solve problems involving angles on a straight line;
[3] solve problems involving vertically opposite angles;
[4] consolidate the above skills.
At the end of this lesson you will be able to:
[1] Use three-figure bearings, measured clockwise from the north to describe the position of one point from another;
[2] Draw simple scale drawings from given data and interpret scale drawings;
[3] Find the distance/bearing of one object from another by making a scale drawing.
At the end of this lesson you will be able to:
[1] Use ruler and compasses only to draw the perpendicular bisector of a line segment; Use ruler and compasses only to draw an angle of 90°
[2] Use ruler and compasses only to draw angles of 60°
[3] Use ruler and compasses to draw the bisector of an angle;
[4] Apply the bisector of an angles method to draw angles of 30° and 45°.
At the end of this lesson you will be able to:
[1] Interpret linear and non-linear graphs;
[2] Draw and interpret distance-time graphs;
[3] Drawing and interpreting conversion graphs.
At the end of this lesson you will be able to:
[1] Draw and interpret linear graphs arising from real-life situations;
[2] Draw and interpret non-linear graphs arising from real-life situations.
At the end of this lesson you will be able to:
[1] Work out the probability of mutually exclusive events occurring;
[2] Work out the probability of independent/dependent events occurring;
[3] Compile and use a probability tree for independent events;
[4] Compile and use a probability tree for dependent events.
At the end of this lesson you will be able to:
[1] Draw and interpret linear and non-linear graphs arising from real-life situations;
[2] Use distance/time graph to find distance/time/speed.
At the end of this lesson you will be able to:
[1] Recall basic constructions using ruler and compasses only;
[2] Use ruler and compasses only to construct the locus of points which are at a fixed distance from a given point and equidistant from two given points;
[3] Use ruler and compasses only to construct the locus of points which are equidistant from a straight line and
equidistant from two intersecting straight lines;
[4] Solve problems involving the above constructions using intersecting
At the end of this lesson you will be able to:
[1] Generate and plot coordinate pairs that satisfy a linear rule; Use straight-line graphs to find the value of one coordinate given the other;
[2] Draw quadratic graphs and identify maxima/minima; Use quadratic graphs to find the value of one coordinate(s) given the other.
At the end of this lesson you will be able to:
[1] identify parallel lines in geometric figures and solve problems involving parallel lines (alternate angles);
[2] solve problems involving parallel lines (corresponding angles);
[3] alternate and corresponding angles;
[4] give reasons for deducing true statements from geometric diagrams.
At the end of this lesson you will be able to:
Understand the relationship between the diameter and circumference of a circle.
At the end of this lesson you will be able to:
[1] Find the area of a rectangle and of a right angled triangle as half the area of a rectangle or square;
[2] Discover and learn that the area of a triangle can be found by using the formula: half the base times the height;
[3] Find the volume of compound shapes involving cube, cuboid and prism.
At the end of this lesson you will be able to:
[1] Understand the geometrical proof of the circle theorems;
[2] Find missing angles in circles.
At the end of this lesson you will be able to prove geometrical results.
At the end of this lesson you will be able to:
[1] Use balance diagrams to solve equations;
[2] Solve linear equations (one operation);
[3] Solve linear equations (two operations);
[4] Use strip diagrams to determine the value of an unknown
At the end of this lesson you will be able to:
[1] Rearrange simple formulae, including simple fractions and roots;
[2] Change the subject of a formula where the new subject appears more than once;
[3] Form and manipulate more complex formulae.
At the end of this lesson you will be able to:
[1] Use the four rules for calculations with numbers;
[2] Problems involving the four rules;
[3] Paper and pencil methods for multiplying and dividing with 1 digit numbers;
[4] Multiplication by two digit numbers using the partitioning method;
[5] Division by large numbers using factors and repeated subtraction.
At the end of this lesson you will be able to:
[1] Use the main eight compass directions;
[2] Express the eight main compass directions as three-figure bearings.
At the end of this lesson you will be able to:
[1] Compare two quantities using the inequality signs;
[2] Illustrate inequalities on a number line;
[3] Deduce inequalities from word problems.
At the end of this lesson you will be able to:
[1] Mean, mode, median and range of ungrouped data;
[2] Mean, mode, median and range of ungrouped data from a frequency table;
[3] Interpret pie charts;
[4] Draw and interpreting bar charts with equal intervals.