Download docx - reb.rw STAN… · Web viewable to apply matrix and determinant of order 3 to solve related problems. Demonstrate that a transformation of 3 IR is linear and perform operations on

Competences and Assessment Criteria: Secondary MATH NB:

a) Yellow colour may be deletedb) Red colour may be adjusted

S1 S2 S3 S4 S5 S6Unit 1: Sets

KUC: To be able to use sets, Venn diagrams, and relations to represent situations and solve problems.

AC: Can use sets, Venn diagrams and relations to represent situations and solve problems.

ST 1: Be able to define, explain and use sets, Venn diagrams, and relations to represent situations and solve problems

Unit 1: Indices and surds.

KUC: To be able to determine and use properties of indices and surds.

KUC: To be able to determine the probability of an event happening using equally likely events or experiments. NB: Yellow colour must be deleted

AC: Can use rules of indices and surds to simplify mathematical situation involving indices and surds.

ST 1: Be able to apply the rules of indices and surds to simplify mathematical situation involving indices and surds, square roots calculations methods

Unit 1: Problem sets.

KUC: To be able to solve problem sets.

AC: Can solve problem sets.

AC: To be able to solve problem sets. NB: Yellow colour must be deleted

ST1: Solve problems involving sets and applying mathematical rules accurately

ST1: Solve problems involving sets of numbers and number bases, applying mathematical rules accurately NB: Yellow colour must be deleted

Unit 1: Fundamentals of trigonometry.

KUC: Use trigonometric circle and identities to determine trigonometric ratios and apply them to solve related problems.

AC: Apply trigonometric concepts to solve problems involving triangles and angles.

ST1: Able to define and show graphically sine, cosine, and tangent and use trigonometry, including the sine and cosine rules, to solve problems involving triangles, on bearing, air navigation,…

Unit 1: Trigonometric functions and equations

KUC: Solve trigonometric equations, inequalities and related problems using trigonometric functions and equations.

AC: Learners are able to apply trigonometry functions, transformation formulas and equations to solve problems related to trigonometry.

ST1: Be able to apply trigonometric functions, transformation formulas and equations to solve problems related to trigonometry.

Unit 1: Complex numbers

KUC: Perform operations on complex numbers in different forms and use complex numbers to solve related problems in physics(voltage and current in alternating current), computer science (fractals), trigonometry (Euler’s formula to transform trigonometric expressions).

AC: Learners are able to perform operations on complex numbers in different forms and use complex numbers to solve related problems in physics (voltage and current in alternating current), computer science(fractals), trigonometry (Euler’s formula to transform

trigonometric expressions). ST1: Apply the properties of complex numbers to perform operations on complex numbers in algebraic form, in polar form or in exponential form, reflecting analytically and logically about their learning and set their own goals

ST2: Find and achieve the best possible solution to problems involving sets of complex numbers, having evaluated a range of alternatives

Unit 2: Sets of numbers.

KUC: To be able to use operations to explore properties of sets of numbers and their relationships.

AC: Can use operation to explore properties of sets of numbers and their relationships.

ST 2: Be able to identify sets of numbers (natural, integer,decimal, rational, and real) and relationships

Unit 2: Polynomials.KUC: To be able to perform operations, factorise polynomials, and solve related problems.

AC: Can perform operations,factorise polynomials and solve related problems.

AC: Can describe the democratic and electoral

Unit 2: Number bases.

KUC: To be able to represent numbers in different number bases and solve related problems.

AC: Can represent numbers in different number bases and solve related problems.

ST2: Solve problems involving number bases and applying mathematical rules

Unit 2: Propositional and predicate logic.

KUC: Use mathematical logic to organise scientific knowledge and as a tool of reasoning and argumentation in daily life.

AC: Learner is able to use mathematical logic to organise scientific knowledge and as a tool of reasoning and argumentation in dailyLife

Unit 2 Sequences.

KUC: Understand, manipulate and use arithmetic, geometric and harmonic sequences, including convergence..

AC: Learners are able to apply concepts of sequences to solve problems involving arithmetic, harmonic or geometric sequences

ST2: Be able to apply concepts of sequences to

Unit 2: Logarithmic and exponential functions

KUC: Extend the concepts of functions to investigate fully logarithmic and exponential functions, finding the domain ofdefinition, the limits, asyrmptotes, variations, graphs, and model problems about interest rates, population growth or decay, magnitude ofearthquake, etc.

AC: Learner is able to

between them and to apply/determine the operation properties of sets of numbers.

processes, describe political objectives, and write a leaflet promising improvements in school.Can perform operations, factorise polynomials, and solve related problemsNB:Yellow colour must be deleted

ST 2: Be able to perform operations, factorise polynomials, and solve related problems.

accurately

ST1: Solve problems involving sets of numbers and number bases, applying mathematical rules accurately

ST2: Able to use mathematical logic to organise scientific knowledge and as a tool of reasoning and argumentation in daily life and its applications

solve problems involving arithmetic, harmonic or geometric sequences.

investigate fully logarithmic and exponential functions,finding the domain of definition, the limits,asyrmptotes, variations, graphs and model problems about interest rates, population growth or decay, magnitude of earthquake etc

ST3: Explore and investigate logarithmic and exponential functions, reflecting analytically and logically about their learning and set their own goals

ST4: Apply logarithmic and exponential functions in solving problems, selecting the appropriate mathematical operations and calculations

Unit 3 Linear functions, equations, and inequalities.

KUC: To be able to represent and interpret graphs of linear functions and apply them in real life situations; solve linear equations and inequalities; appreciate the

Unit 3: Simultaneous liner equations and inequalities.

KUC: To be able solve problems related to simultaneous linear equations and inequalities and represent the solutionsGraphically

Unit 3 Algebraic fractions.

KUC: To be able to perform operations on rational expressions and use them in different situations.

AC: Can perform operations on rational expressions and use them in different situations.

Unit 3: Binary operations

KUC: Use mathematical logic to understand and perform operations using the properties of algebraic structures

AC: Physics (electricity in calculation of numerical values from a formula),

Unit 3: Logarithmic and exponential equations.

KUC: Solve equations involving logarithms or exponentials and apply them to model and solve related problems.

AC: Learners are able to apply concepts of

Unit 3: Taylor and Maclaurin’s expansions.

KUC: Use Taylor and Maclaurin’s expansion to solve problems about approximations, limits and integration. Extend theMaclaurin’s expansion to Taylor series.

importance of checking solutions; andrepresentthe solution

AC: an represent and interpret graphs of linear functions and apply them in real life situations. Cans solve linear equations and inequalities, appreciate the importance of checking solution, and represent the solution

ST 3: Be able to represent and interpret graphs of linear functions and apply them in real life situations. Can solve linear equations and inequalities with one unknown, appreciate the importance of checking solution, and represent the solution on number line.

AC: Can solve related simultaneous linear equations and inequalities and represent the solutions graphically

ST 3: Be able to solve related simultaneous linear equations and inequalities and represent the solutions graphically

ST3 (a): Perform operations on algebraic fractions applying the rules for addition, subtraction, multiplication or division and simplification, giving a balanced view of what they have achieved and how they can improve.ST2: Perform operations on algebraic fractions applying the rules for addition, subtraction, multiplication or division and simplification, giving a balanced view of what they have achieved and how they can improve.

ST3 (b): Solve rational equations with linear denominators, giving explanations, reasons and conclusions using appropriate subject vocabulary

entrepreneurship (economics: calculation of data from sales),computer science

ST 3: Able to explain why grouping, interchanging, distributing is correct or not depending on the context and carry out binary operations and determine their properties.

logarithmic and exponential equations to solve problems involving logarithms or exponentials.

ST 3: Be able to apply concepts of logarithmic and exponential equations to solve problems involving logarithms or exponentials.

AC: Learner is able to use Taylor and Maclaurin’s expansion to solve problems about approximations, limits and integration.

ST5: Use Taylor and MacLaurin’s expansion to derive functions such as cosx, sinx and ex , selecting the appropriate mathematical operations

Unit 4 Percentage, discount, profit, and loss.

KUC: To be able to solve problems that involves calculating percentage, discount, profit, loss and other financial calculations.

Unit 4: Multiplier for proportional change

KUC: To be able use a multiplier for proportional change.

AC: Can explain the importance of money in connection to real life.

Unit 4: Simultaneous linear equations and inequalities.

KUC: To be able to Can solve word problems involving simultaneous linear equations and inequalities.

AC: Can solve problems

Unit 4: Set of real numbers.

KUC: Think critically using mathematical logic to understand and perform operations on the set of real numbers and its subsetsusing the properties of

Unit 4: Solving equations by numerical method.

KUC: To be able to use numerical methods e.g Newton-Raphson method to approximate solution to equations.

Unit 4: Integration

KUC: Use integration as the inverse of differentiation and as the limit of a sum then apply it to find the area of plane surfaces,volumes of solids of revolution, lengths of

AC: Can solve problems that involve calculating percentage, discount, profit, loss, and other financial calculations.

ST4: Be able to solve problems that involve calculating percentage, discount, profit, loss, simple interest and other financial calculations, like commissions, loans and savings, tax and insurance.

ST 4: Be able to solve problems in real life involving multiplier proportion change and apply multipliers for proportional change to solve given problems.

involving simultaneous linear equations and inequalities.

ST4: Solve problems involving linear simple equations and inequalities algebraically or graphically, Showing understanding of technical terms

algebraic structuresAC: Learners should be able to use mathematical logic to understand and perform operations on the set of real numbers and its subsets using theproperties of algebraic structures

ST 4: Able to classify numbers into naturals, integers, rational and irrationals. Illustrate each property of a power, an exponential, a radical, a logarithm, the absolute value of a real number and apply logarithm and exponentials to model simple problems.

AC: Learners are able to use numerical methods e.g Newton-Raphson method to approximate solution to equations

ST 4: Be able to use numerical methods e.g Newton-Raphson method to approximate solution to equations

curved lines.

AC: Learners are able to use integration as the inverse of differentiation and as the limit of a sum then apply it to find the area ofplane surfaces, volumes of solid of revolution, lengths of curved lines.

ST6: Use integration as the inverse of differentiation and as the limit of a sum, presenting explanations and conclusions using language for precision

ST7: Use integration in solving problems, selecting the appropriate mathematical operations, measurements and calculations

Unit 5 Ratio and proportions.

KUC:To be able to solve problems involving ratio and proportion.

AC: Can solve problems involving ratio and proportion in a variety of contexts.

Unit 5: Thales theorem

KUC: To be able useThales’ theorem to solve problems related to similar shapesand determinetheir lengths and areas

AC: Can use Thale’s theorem to solve problems related to similar shapes

Unit 5: : Quadratic equations.

KUC: To be able to solve quadratic equations.

AC: Can solve word problems involving quadratic equations.

ST5: Make a range of complex calculations to

Unit 5: : Linear equations and inequalities KUC: Model and solve algebraically or graphically daily life problems using linear equations or inequalities.

AC: Learners should be able to model and solve algebraically or graphically daily life

Unit 5: Trigonometric and inverse trigonometric functions

KUC: Apply theorems of limits and formulas of derivatives to solve problems of refraction of light in a prism, simple harmonic motion problems, and optimisation including

Unit 5: Differential equations.

KUC: Use ordinary differential equations of first and second order to model and solve related problems in physics, economics,Chemistry and biology.

AC: Learner is able to use

ST 5: Be able to identify a direct and indirect proportion and solve problems involving ratio and proportion in a variety of contexts and sharing

and determine their lengths and areas

ST 5: Be able to use Thale’s theorem to solve problems related to similar shapes and determine their lengths and areas

solve problems involving linear and quadratic equations . and interpret the graphs of quadratic functions.

problems using linear equations or inequalities.

ST 5: Be able to model and solve algebraically or graphically daily life problems using linear equations or inequalities.

trigonometric or inverse trigonometric functions.

AC: Learners are able to apply theorems of limits and formulas of derivatives to solve problems of refraction of light in prism, simple harmonic motion problems and optimisation, including trigonometric or inverse trigonometric functions.

ST5: Be able to apply theorems of limits and formulas of derivatives to solve problems of refraction of light in prism, simple harmonic motion problems and optimisation, including trigonometric or inverse trigonometric functions.

ordinary differential equations of first and second order to model and solve related problems in physics,economics, chemistry, biology, etc

ST8: Find and achieve the best possible solution to problems using differential equations

Unit 6: Points, lines, and angles.

KUC: To be able to construct mathematical arguments using the angle properties of parallel lines.

AC: Can construct mathematical arguments using the angle properties of parallel lines.

Unit 6: Pythagoras’stheorem.

KUC: To be able to find the length of each side of a right angled triangles using Pythagoras’ theorem.

AC: Can find the length of each side of a right angled triangle using Pythagoras’s

Unit 6: Linear and quadratic functions.

KUC: To be able to solve problems involving linear or quadratics functions and interpret the graphs of quadratic functions.

AC: Can solve problems involving linear or quadratic functions and

Unit 6: Quadratic equations and inequalities.KUC: Model and solve algebraically or graphically daily life problems using quadratic equations or inequalities

AC: Learners are able to model and solve algebraically or

Unit 6: Vector space of real numbers

KUC: Study linear dependence of vectors of 3 , solve problems related to angles using the scalar product in 3 and use the vector product to solve mensuration problems in 3

Unit 6: Intersection and sum of subspaces

KUC: Relate the sum and the intersection of subspaces of a vector space by the dimension formula.

AC: Learners are able to relate the sum and the intersection of subspaces

ST6: Be able to use knowledge of angle properties of parallel lines and transversal lines and shapes to calculate angles and construct arguments when finding missing angles in geometric diagrams.

Unit 7: Solids.

KUC: To be able toselect and use formulae to find the surface area and volume of solids

AC: Can select and use formulae to find thesurface area and volume of solids.

ST 7: Be able to select and use formulae to find the surface area and volume of solids (prism, pyramid, cylinder, cone and sphere). and components of solids: faces, vertices and edges

theorem.

ST 5: Be able to use Thale’s theorem to solve problems related to similar shapes and determine their lengths and areas NB:Yellow colour must be deleted

ST 6: Be able to find the length of each side of a right angled triangle using Pythagoras’s theorem.

ST 7: Be able to define and represent a vector, differentiate scalar and vector quantities and solve problems using operations on vectors.

ST 8: Be able to identify and construct an image of an object or geometric shape under parallel projection and orthogonal projection.

ST9: Be able to construct the image of a point, a segment, a geometric shape, under central symmetry, reflection,

interpret the graphs of quadratic functions.

ST6: Make a range of complex calculations to solve problems involving linear and quadratic equations and interpret the graphs of quadratic functions.

graphically daily life problems using quadratic equations or inequalities.

ST 6: Be able to model and solve algebraically or graphically daily life problems using quadratic equations or inequalities

AC: Learners are able to apply linear dependence of vectors of 3 to solve problems related to angles using the scalar product in 3and use the vector product to solve also mensuration problems in 3.

ST6:Be able to apply linear dependence of vectors to solve problems related to angles using the scalar product and use the vector product to solve mensuration problems in vector space

of a vector space by the dimension formula.

ST9: Relate the sum and the intersection of subspaces of a vector space by the dimension formula to determine whether a vector space is the direct sum of its given subspace or not, applying knowledge and experience to support and develop ideas and conclusions

translation, rotation and/or find its coordinates. NB:Yellow colour must be deleted

ST6: Be able to use knowledge of angle properties of parallel lines and shapes to calculate angles and construct arguments when finding missing angles in geometric diagrams.

ST 7: Be able to select and use formulae to find the surface area and volume of solids (prism, pyramid, cylinder, cone and sphere). and components of solids. Faces, vertices and edgesNB: All text above in yellow colour must be deleted

Unit 7: Vectors.

KUC: To be able to solve problems doing operations on vectors.

AC: Can solve problems doing operations on vectors.


ST 6: Be able to find the length of each side of a right angle triangle using Pythagoras’s theorem. NB: All text above in yellow colour must be deleted


Unit 8: Parallel and orthogonal projections.

Unit 7: Compound interest, reverse percentage, and compound proportional change

KUC: To be able to solve problems involving compound interest, reverse percentage and proportional change using multipliers.

AC: Can use mathematical concepts and skills to solve problems involving compound interest, reverse percentage, and proportional change.

ST6: ST7:(a)Apply knowledge and experience to solve problems involving money and its applications

ST7: :(b) Solve problems involving percentages and proportions, reviewing evidence and ways of working to find ways forward

Unit 7: Polynomial, rational and irrational functions.KUC: Use concepts and definitions of functions to determine the domain of rational functions and represent them graphically insimple cases and solve related problems

AC: Learner is able to use concepts and definitions of functions to determine the domain of rational functions and represent them.

ST7: Be able to use concepts and definitions of functions to determine the domain of rational functions and represent them graphically in simple cases and solve related problems.

Unit 7 Matrices and determinants of order 3.KUC: Apply matrix and determinant of order 3 to solve related problems. Demonstrate that a transformation of 3 IRis linear and performoperations on linear transformations of 3 IRusing vectors.

AC: Learners are able to apply matrix and determinant of order 3 to solve related problems. Demonstrate that a transformation of 3 IRis linear and perform operations on linear transformations of 3 IRusing vectors

ST 7: Be able to apply matrix and determinant of order 3 to solve related problems. Demonstrate that a transformation of 3 IR is linear and perform operations on linear transformations of 3 IR using vectors

Unit 7: Transformation of matrices.

KUC: Transform matrices to an echelon form or to a diagonal matrix and use the results to solve simultaneous linear equations or to calculate the nth power of a matrix. AC: Learners are able to transform matrices to an echelon form or to diagonal matrix and use the results to solve simultaneous linearequations or to calculate the nth power of a matrix

ST10: Use linear transformation when solving problems, reflecting analytically on their learning and setting their own goals

ST11: Solve problems involving matrices, selecting and using different ways to represent and use data

KUC: To be able to transform shapes under parallel or orthogonal projections.

AC: Can transform images of figures using parallel or orthogonal projections


ST9: Be able to construct the image of a point, a segment, a geometric shape, under central symmetry, reflection, translation, rotation and/or find its coordinates.

Unit 8: Statistics(ungrouped data)..

KUC: To be able to collect, represent, and interpret quantitative discrete data appropriate to a question or problem.

AC: Can consistently make appropriate data collection and data representationsto solve a problem and draw conclusions

Unit 8: Parallel and orthogonal projections.

KUC: To be able to transform shapes under parallel or orthogonal projections.

AC: Can transform images of figures using parallel or orthogonal projections

ST 5: Be able to use Thale’s theorem to solve problems

Unit 8: Right angled triangles

KUC: To be able to find lengths of sides and angles in right angled triangles using trigonometric ratios.

AC: Can construct mathematical arguments about right angle d triangles to solve related problems..

Unit 8: Limits of polynomial, rational and irrational functions.

KUC: Evaluate correctly limits of functions and apply them to solve related problems

AC: Learners are able to evaluate correctly limits of functions and apply them to solve related problems.

Unit 8: Points, straight lines and sphere in 3D.

KUC: Use algebraic representations of points, lines, spheres and planes in 3D space and solve related problems.

AC: Learners are able to solve problems of positions, distances, angles about points, lines and planes, and sphere in

Unit 8: Conics.

KUC: Determine the characteristics and the graph of a conic given by its Cartesian, parametric or polar equation. Find theCartesian, parametric and polar equations of a conic from its characteristics.

AC: Learners are able to determine the

consistent with findings.

ST 8: Be able to collect and represent statistical information (discrete and continuous data) using frequency distribution tables, bar charts, histograms, polygons, pie charts, or pictogram. Determine the mode, mean, and median of statistical data.

related to similar shapes and determine their lengths and areas

ST 6: Be able to find the length of each side of a right angle triangle using Pythagoras’s theorem.



ST9: Be able to construct the image of a point, a segment, a geometric shape, under central symmetry, reflection, translation, rotation and/or find its coordinates. NB: All text above in yellow colour must be deleted

ST8: Introduce and apply trigonometric concepts using right angled triangles, providing constructive support and feedback to others

ST 8: Be able to evaluate correctly limits of functions and apply them to solve related problems.

3D.

ST 8: Be able to solve problems of positions, distances, angles about points, lines and planes, and sphere in 3D.

characteristics and the graph of a conic given by its Cartesian, parametric or polar equationand can find the Cartesian, parametric and polar equations of a conic from its characteristics

ST12: Collaborate with others to solve geometric problems relating to the characteristics and the graph of a conic and its relation to Cartesian, parametric or polar equations, showing leadership and cooperation to manage and encourage others’ contributions

Unit 9: Probability

KUC: To be able todetermine the probability

Unit 9: Isometries

KUC: To be able to transform shapes using

Unit 9 Circle theorem.

KUC: To be able to construct mathematical

Unit 9: Differentiation of polynomials, rational and irrational functions and their applications.

Unit 9: Bivariate statistics

KUC: Extend understanding, analysis

Unit 9: Random variables

KUC: Calculate and interpret the parameters

of an event happening using equally likely events or experiments.

AC: Can use appropriate mathematical concepts and skills to solve problems in both familiar and unfamiliar situations.

ST 9: Be able to calculate the probability of an event where there are equally likely outcomes e.g. heads or tails on a coin, a score on a dice and estimate probabilities using data.

congruence, central symmetry, reflection, translation, and rotation.

AC: Can transform shapes using congruence, central symmetry, reflection, translation, and rotation.

ST9: Be able to construct the image of a point, a segment, a geometric shape, under central symmetry, reflection, translation, rotation and/or find its coordinates.


ST 6: Be able to find the length of each side of a right angle triangle using Pythagoras’s theorem.


ST 8: Be able to identify and construct an image of an object or geometric

arguments about circlesand disks and use circle theorem to solve related problems

AC: Can construct mathematical arguments about circles and disks and use circle theorem to solve related problems

ST9: Solve problems involving shapes, creating and using their own products to support their learning

KUC: Use the gradient of a straight line as a measure of rate of change and apply this to tangent and normal of curves in variousContexts and use the concepts of differentiation to solve and interpret related rates and optimisation problems in various contexts.

AC: Learners are able to use the gradient of a straight line as a measure of rate of change and apply this to tangent or normal of curves in various contexts and use the concepts of differentiation to solve and interpret related rates and optimisation problems in various contexts

ST 9: Be able to use the gradient of a straight line as a measure of rate of change and apply this to tangent or normal of curves in various contexts and use the concepts of differentiation to solve and interpret related

and interpretation of bivariate data to correlation coefficients and regression lines.

AC: Learners are able to extend understanding, analysis and interpretation of bivariate data to correlation coefficients and regressionlines.

ST 9: Be Able to define and determine the coefficient of correlation, covariance and regression lines of bivariate data of dispersion of given statistical series to interpret data critically then infer a conclusion.

of a random variable (discrete or continuous) including binomial and the PoissonDistributions

AC: Learners are able to calculate and interpret the parameters of a random variable (discrete or continuous) including binomial andthe Poisson distributions

ST13: Calculate and interpret the parameters of random variables including binomial and the Poisson distributions, reflecting analytically and logically about their learning and set their own goals

ST14: Solve problems involving special probability, explaining and justifying methods and supporting them with evidence

shape under parallel projection and orthogonal projection.

ST9: Be able to construct the image of a point, a segment, a geometric shape, under central symmetry, reflection, translation, rotation and/or find its coordinates. NB: All text above in yellow colour must be deleted

rates and optimisation problems in various contexts.

Unit 10: Statistics (grouped data).

KUC: To be able to collect, represent, and interpret grouped data.

AC: Can collect, represent, and interpret grouped data..

ST 10: Be able to collect, represent, and interpret grouped data and identify mode, middle class, modal class, and median of given grouped statistical data.

Unit 10: Collinear points and orthogonal vectors.

KUC: To be able to apply properties of collinearity and orthogonality to solve problems involving vectors

AC : Can apply properties of collinearity and orthogonality to solve problems involving vectors

ST10**: Use vectors to solve many problems involving physical quantities such as velocity, speed, weight etc, exploring different ways to convey ideas and information using digital media where possible

Unit 10: Vector spaces of real numbers.

KUC: Determine the magnitude and angle between two vectors and be able to plot these vectors and point out dot product of two vectors

AC: Learners are able to determine the magnitude of a vector and the angle between two vectors and to be able to plot these vectors and point out dot product of two vectors

ST10:Be able to determine the magnitude of a vector and the angle between two vectors and

Unit 10: Conditional probability and Bayes theorem

KUC: Solve problems using Bayes theorem and use data to make decisions about likelihood and risk.

Learners are able to solve problems using Bayes theorem and use data to make decisions about likelihood and risk

ST 10: Be able to solve problems using Bayes theorem and use data to make decisions about likelihood and risk

to be able to plot these vectors and point out dot product of two vectors

Unit 11:Tree andVenn diagrams.

KUC: To be able to determine probabilities and assess likelihood by using tree and venn diagrams.

AC: Can determine probabilities and assess likelihood using Tree and Venn diagrams.

ST 11: Be able to determine probabilities and assess likelihood using Tree and Venn diagrams.

Unit 11:Enlargement and similarity in 2D.

KUC: To be able to solve problems regarding shape enlargement and similarities in 2D.

AC: Can solve problems regarding shape enlargement and similarities in 2D


ST10: Use vectors to solve many problems involving physical quantities such as velocity, speed, weight etc, exploring different ways to convey ideas and information using digital media where possible

Unit 11: Concepts and operations on linear transformations in 2D

KUC: Determine whether a transformation of 2 IR is linear or not and perform operations on linear transformations.

AC: Determine whether a transformation of 2 IR is linear or not and perform operations on linear transformations.

ST 11: Be able to demonstrate that a transformation of 2 IR is linear and perform operations on linear transformations.

Unit 12:Inverse and composite transformations in 2D.

KUC: To be able to solve problems involving

Unit 12: Matrices of and determinants of order 2.

KUC: Use matrices and determinants of order 2 to solve systems of linear equations and to define

The inverse and composite transformations of shapes.

UCAC: Can solve problems involving the inverse and composite transformations of shapes


transformations of 2D.

AC: Use matrices and determinants of order 2 to solve systems of linear equations and to define transformations of 2D.

ST 12: Be able to use matrices and determinants of order 2 to solve systems of linear equations and to define transformations of 2 dimensions

Unit13 : Statistics (bivariate data).

KUC: To be able to collect, represent, and interpret bivariate data.

AC: Can collect, represent, and interpret bivariate data

ST11: Represent and interpret bivariate data, working out patterns and using them to form generalisations, rules or conclusions

Unit 13: Points, straight lines and circles in 2DKUC: Determine algebraic representations of lines, straight lines and circles in 2D.

AC: Learners are able to determine algebraic representations of lines, straight lines and circles in the 2D

ST13: Be able to solve problems of positions, distances, angles about points, straight lines and circles in 2 dimensions

Unit 14: Measures of dispersion.

KUC: Extend

understanding, analysis and interpretation of data arising from problems and questions in daily life to include the standard deviation

AC: Learners are able to extend understanding, analysis and interpretation of data arising from problems and questions in daily life to include the standard deviation

ST 14: Be able to extend understanding, analysis and interpretation of data arising from problems and questions in daily life to include the standard deviation.

Unit 15: Combinatorics.

KUC: Use combinations and permutations to determine the number of ways a random experiment occurs.

Learners are able to calculate accurately combinations or permutations of “n” items , “r” taken at a time.

ST 15: Be able to calculate accurately combinations or permutations of “n” items , “r” taken at a time.Unit 16: Elementary probability.

KUC: : Use counting techniques and concepts of probability to determine the probability of possible outcomes of events occurring under equally likely assumptions

AC: Learners are able to use counting techniques and concepts of probability to determine the probability of possible outcomes of occurring events under equally likely assumptions

ST 16: Be able to use counting techniques and concepts of probability to determine the probability of possible outcomes of occurring events under equally likely assumptions.