Methodist High School Monthly Planner 2023-2024 Mathematics IGCSE (Class 9-i) April (2 topics covered) Educator: Ashley Ernest Wright Topic: 1. Reviewing number concepts Date: 3rd to 10th Learning objectives: Learners can know about Different types of numbers. Natural numbers, Odd numbers, Even numbers, Integer, Prime numbers, Square numbers and Fractions solve problems involving the above mentioned different types of numbers Calculation of HCF and LCM Success Criteria: Learners will be able to Answer questions based on different types of numbers. Calculate HCF using Prime Factorisation method. Calculate LCM using Prime Factorisation method Solve Problems based on Integers and Square numbers. Skills and Attributes: Critical thinking and Numeracy Skills Procedure and Guided learning Activities: Educator recapitulates the different types of number Number Definition Example Natural number Any whole number from 1,2,3,4,5,6……. 1 to infinity, sometimes called counting numbers ‘0’ is not included Odd number A whole number that cannot be divided 1,3,5,7… exactly by 2 Even number A whole number that can be divided exactly by 2 2,4,6,8….. Integer Any of the negative and positive whole numbers including zero. …..-3,-2,-1,0,1,2,3…. Prime number A whole number greater 2,3,5,7,11.. than 1 which has only two factors the number and 1 itself Square number The product obtained when an integer is multiplied by itself. Fraction A number representing ½,1/3,11/3, parts of a whole number 0.5,0.2,0.08…….. can be written as a common fraction in the form of a/b or a s a decimal using the decimal point. 1,4,9,16…. Checkpoint 1: (in-class) Ex 1.1,1.2 and 1.3 Checkpoint 2: ( post-class) Ex 1.4,1.5, 13.5 and 1.7, 1.8, 1.9,1.10 Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. Topic: 1.Reviewing number concepts Date: 11th to 14th April Learning objectives: Learners can know about Powers and roots on numbers Solve problems related to powers and roots on numbers. Working with directed numbers Priority on operations Using BODMAS. Success Criteria: Learners will be able to Define the concepts of power and roots. Solve the problems related to roots and power on numbers Multiple operation problems using BODMAS Skills and Attributes: Quantitative reasoning and data analysis Procedure and Guided learning Activities: Educator will explain to the learners B- Bracket o- Of D- Divide M-Multiply A- Add S- Subtract Checkpoint 1: (in-class) Ex 1.11,1.12,1.13 Checkpoint 2: ( post-class) Ex 1.14, 1.15, 1.16, 1.17 Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. Topic: 2.Making Sense of Algebra April Date: 17th to 29th Learning objectives: Learners can know how to How to use letters to represent unknown values - Variables Write algebraic expression. The concept of fixed value numbers called CONSTANTS Solving algebraic expression using SUBSITITUTION METHOD Solving algebraic expression having brackets Concept of exponents and indices Solving problems related to indices . Success Criteria: Learners will be able to Write algebraic expression. The concept of fixed value numbers called CONSTANTS Solving algebraic expression using SUBSITITUTION METHOD Solving algebraic expression having brackets Concept of exponents and indices Solving problems related to indices. Skills and Attributes: Critical thinking and deductive reasoning Procedure and Guided learning Activities: Educator will explain to the learners to graphically solve two or more linear equations. They will understand that the point of intersection of the lines will be the solution. This will be further explained with the help of the following example. The learners will further be introduced to the situation where there is range of solutions. The range will be marked on a number line. Next the learners will be introduced to linear programming for two or more inequalities. For this the following example will be discussed in the class. Completing the square form will be explained with the prior knowledge of algebraic identities. Later the learners will be introduced to the use of Quadratic formula and its use with the help of examples. Checkpoint 1: (in-cl;ass) Ex 2.1, 2.2, 2.3, 2.4 and 2.5 Checkpoint 2: ( post-cl;ass) Ex 2.6, 2.7, 2.8, 2.9 and 2.10 Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. May 2023 (1topic covered and UT1) Educator: Ashley Ernest Wright Topic: 1. LINES ANGLES AND SHAPES (Ch-03) Date: 1st to 12th May Learning objectives: Learners will learn about The different terms used in relation to lines- Points, line, Parallel Different types of angle- Acute, Obtuse, Right, Straight, Reflex and Revolution. Alternate angles, corresponding angles, supplementary angles, complementary angles Different types of Triangles- Scalene, Equilateral, Isoceles etc Properties of different types of angles. Quadrilaterals- Different types of quadrilaterals- Parallelogram, Rectangle, Square, Rhombus, Trapezium and Kite The properties of different types of quadrilaterals. Success Criteria: Learners will be able to The different terms used in relation to lines- Points, line, Parallel Different types of angle- Acute, Obtuse, Right, Straight, Reflex and Revolution. Alternate angles, corresponding angles, supplementary angles, complementary angles Different types of Triangles- Scalene, Equilateral, Isoceles etc Properties of different types of angles. Quadrilaterals- Different types of quadrilaterals- Parallelogram, Rectangle, Square, Rhombus, Trapezium and Kite The properties of different types of quadrilaterals. Skills and Attributes: Constructing logical arguments and analytical thinking Procedure and Guided learning Activities: Learners will be explained with the help of a table about the above mentioned points Term What it means Point A point is shown on the paper using a dot or a cross. Most often you will use the word ‘point’ to talk about where two lines meet. You wil also talk about points on a grid and name these using ordered pairs of coordinates. Points are normally named using capital letters Line A line is a straight one dimensioon al figure Examples A(2.3) that extends to infinity in both directions Parallel A pair of lines that are the same distance apart all along their length are parallel. The symbol is II and is used for parallel llines Angle When two lines meet at a point they form an angle. The meeting point is called vertex of the angle and the two lines are called the arms of the angle. Perpendicul ar When tow liens meet at a right angle theya re perpendicul ar to each other. Acute angle When the angle is greater than 0 degree but less than 90 degree Right angle Angle exactly 90 degree Obtuse angle Angle greaten than 90 degree but less than 180 degree Straight angle An angle measuring exactly 180 degree Reflex angle Angle greater than 180 degree but less than 360 degree Revolution An angle exactly 360 degree Types of Quadrilateral Parallelogram Rectangle Square Rhombus Trapezium Kite Examples Summary of properties Opposite sides parallel and equal. Opposite angle are equal. Diagonal bisects each other. Opposite sides parallel and equal. All angles= 90deg Diagonals are equal. Diagonals bisect each other. All sides equal. All angles= 90 deg Diagonals equal. Diagonals bisect each other at 90 deg Diagonals bisect angles. All sides are equal Opposite sides parallel. Opposite angles equal. Diagonals bisect each other at 90 deg. Diagonals bisect angles. One pair of sides parallel Two pairs of adjacent sides equal. One pair of opposite angles is equal. Diagonals intersect at 90 deg Diagonals bisect angles. Checkpoint 1: (in-class) Ex3.1, 3.3, 3.5, 3.7, 3.9 Checkpoint 2: ( post-class) Ex 3.2, 3.4, 3.6, 3.8, 3.10 and practice questions Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. Unit Test 1 commences from 19th May 2023 and ends on 25th May 2023 July 2023(3 topics covered) Educator: Abhilasha Shrivastava Topic: 1.Curved Graphs (Ch 18) Date: 10th to 20th July Learning objectives: Learners can know how to construct a table of values to draw graphs called parabolas sketch and interpret parabolas construct a table of values to draw graphs called hyperbolas use graphs to find the approximate solutions to quadratic equations construct tables of values to draw graphs in the form of 𝑎𝑥𝑛 𝑎𝑛𝑑 recognise, sketch and interpret graphs of functions estimate the gradients of curves by drawing tangents differentiate functions to find gradients and turning points. 𝑎 𝑥 Success Criteria: Learners will be able to construct a table of values for quadratic and plot the graph of a parabola find turning points by completing the square plot the graph of a hyperbola from a table of values construct tables of values and draw graphs for cubic equations and simple sums of linear and non-linear terms construct a table of values and draw the graph of an exponential equation sketch graphs of cubic, reciprocal and exponential functions using their characteristics estimate the gradient of the curve by drawing a tangent to the curve differential functions of the form 𝑎𝑥𝑛 find the turning points using differentiation and work out whether they are maximum or minimum points. Skills and Attributes: Critical thinking and problem solving Procedure and Guided learning Activities: The learners will be explained the different types of graphs with the help of the equations and the table of their values. Teacher will introduce gradually to the learners the difference between the equations and the curve the represent. The table will summarise concept. Learners will be introduced to differentiation as derived function. Checkpoint 1: (in-cl;ass) Ex 18.1,18.2,18.6,18.8,18.9 Checkpoint 2: ( post-cl;ass) Ex 18.3, 18.4, 18.5, 18.7 and 18.10 Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. Topic: 2.Scatter diagrams and correlations (Ch 16) Date: 21st to 25th July Learning objectives: Learners can know how to draw a scatter diagram for bivariate data identify whether or not there is a positive or negative correlation between the two variables decide whether or not a correlation is strong or weak draw a line of best fit use a line of best fit to make predictions and decide how reliable the predictions are recognise the common errors that are often made with scatter diagrams. Success Criteria: Learners will be able to draw a scatter diagram describe the relationship between the variables shown use a scatter diagram to make predictions. Skills and Attributes: Analytical thinking and constructing logical arguments Procedure and Guided learning Activities: Teacher will help learners to understand the dependent and independent variable in a given data. They will plot the points and draw and understand the different types if scatter diagrams. Teacher will further solve a question and explain the details if the scatter diagram. Checkpoint 1: (in-cl;ass) Ex 16.1 Checkpoint 2: ( post-cl;ass) Examination Practice questions Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. Topic: 3.Histograms and frequency distribution diagrams (Ch 20) Date: 26th to 31st July Learning objectives: Learners can know how to construct and use histograms with equal intervals construct and use histograms with unequal intervals draw cumulative frequency tables use tables to construct cumulative frequency diagrams identify the modal class from a grouped frequency distribution. Success Criteria: Learners will be able to construct histograms with equal intervals interpret and construct histograms with unequal intervals construct a table to find the frequency density of different classes use cumulative frequency curve to estimate the median find quartiles and calculate the interquartile range estimate and interpret percentiles. Skills and Attributes: Analytical thinking and constructing logical arguments Procedure and Guided learning Activities: Teacher will revise the calculation of Mean and proceed with another central tendency i.e. mode. Construction of Histograms with equal intervals and frequency density will be done in the class with the help of examples. Next central tendency, median will be introduced to the learners. They will be taught to calculate cumulative frequency and also draw the cumulative frequency curve. The learners will also be explained to estimate median , lower quartile, upper quartile and inter-quartile range from the cumulative frequency curve. Checkpoint 1: (in-cl;ass) Ex 20.3, 20.4 Checkpoint 2: ( post-cl;ass) Ex 20.1 and 20.2 Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher. August 2023(3 topics covered) Educator: Abhilasha Shrivastava Topic: 1.Ratio, rate and proportion(Ch 19) Date: 1st to 11thAugust Learning objectives: Learners can know how to record relationships using ratio notation make sense on scales, maps, models and plans solve problems using distance-time and speed-time graphs solve problems involving proportionate amounts using algebra to express direct and inverse proportion increase and decrease amounts by a given ratio. Success Criteria: Learners will be able to express relationships between different quantities as rates in their simplest form and solve problems relating to rates read and interpret kinematics graphs - by calculating average speed - by calculating acceleration and deceleration from the graph - finding distance travelled using area under the linear speed-time graph solve problems involving direct and indirect proportion increase and decrease amounts by a given ratio Skills and Attributes: Critical thinking and problem solving Procedure and Guided learning Activities: Teacher will revise ratio proportion with the learners. Will use the fractional representation of ratios in maps, plots, enlargement problems. The following example will be taken up for the explanation. Speed-time graph will be discussed in details in the class Topic: 2.Symmetry(Ch 21) Date: 12th to 18th August Learning objectives: Learners can know how to Topic: 3.Vectors and transformations(Ch 23) Date: 19th to 31st August Learning objectives: Learners can know how to September 2023 Educator: Abhilasha Shrivastava Date: 8th to 19th Date: 22nd to 28th Half -yearly Examination Showing of the answer scripts, discussion of the solutions. October 2023 (2 topics covered) Educator: Abhilasha Shrivastava Topic: 1 More equations, formulae and functions (Ch 22) Date: 3rd to 13th October Learning objectives: Learners can know how to construct and transform more complex formulae use function notation to describe simple functions and their inverse form composite functions. Success Criteria: Learners will be able to set up and rearrange more complicated formulae such as those containing squares or square roots form composite functions such as gf(x) or ff(x) find the inverse of functions using flow diagram find inverse of the function by reversing the mapping. Skills and Attributes: Critical thinking and problem-solving skills Procedure and Guided learning Activities: Teacher will explain solving more complex equations with the help of examples Functions will be explained with solving questions in the class. Later on the teacher will explain inverse and composite functions to the learners. Checkpoint 1: (in-cl;ass) Ex 22.2, 22.4,22.5and 22.8 Checkpoint 2: ( post-cl;ass) Ex 22.1, 22.3,22.6 and 22.7and Examination practice questions. Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher Topic: 2.Probability using tree diagrams and Venn diagrams(Ch 24) Date: 16th to 31st October Learning objectives: Learners can know how to use tree diagrams and Venn diagrams to show all possible outcomes of combined events calculate the probability of simple combined events using tree diagrams. Success Criteria: Learners will be able to draw a tree diagram to organise the outcomes for simple combined events find the probability of each branch of a tree diagram draw a Venn diagram to represent sets of information and use it to calculate probabilities use tree diagrams and Venn diagrams to determine conditional probability. Skills and Attributes: Critical thinking and problem-solving skills Procedure and Guided learning Activities: Teacher will explain the learners to represent the occurrence of events using tree diagram with the help of examples. The Venn diagram representation will be explained in details with examples clearly making the learners understand union and intersection of sets. Teacher will also explain the conditional probability with examples to the learners. Checkpoint 1: (in-cl;ass) Ex 24.3, 24.4 Checkpoint 2: ( post-cl;ass) Ex 24.1 and 242 and Examination practice questions. Notes: General: General notes/comments by educator. References: Mathematics Textbook and Notes and Solutions of the Questions provided by the teacher