Pathway E 2023 Yearly Examination.docx

Year 10 Pathway E Assessment Notification Subject: Mathematics Task Number: 6 Task Type (in class test/research essay/body of work/portfolio etc..) Yearly Examination Date: As per examination schedule (10th to 17th Nov) Venue: TBC Time of day/Length of Task or Submission Details: 120...

Year 10 Pathway E Assessment Notification Subject: Mathematics Task Number: 6 Task Type (in class test/research essay/body of work/portfolio etc..) Yearly Examination Date: As per examination schedule (10th to 17th Nov) Venue: TBC Time of day/Length of Task or Submission Details: 120 Minutes. 100 Marks approximately Task Weighting: 30% Task Outline: Written task consisting of short and long response questions. Task Preparation: Know the Syllabus: Understand what topics will be covered. Gather Materials: Collect your textbooks, class notes and learning logs. Plan a Schedule: Create a study plan with allocated time for each topic. Practice Problems: Solve various math problems for practice. Use Online Resources: Utilize online tutorials resources (E.g. Mathisfun website, Mathspace ). Seek Help: Don't hesitate to ask for assistance when needed. Organize Notes: Review and summarize your notes for easy reference. Create Flashcards: Make flashcards for formulas and key concepts. Take Practice Exams: Practice with past exams or sample questions. Stay Healthy: Maintain good physical and mental health. Topics Linear and Non-linear functions Surds and indices Volume and Surface area Quadratics and the Parabola Trigonometry and Vectors Probability and Statistics Logarithms Working Mathematically outcomes: STAGE 5.1 STAGE 5.2 STAGE 5.3 Communicating MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts Communicating MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions Communicating MA5.3-1WM uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures Problem Solving MA5.1-2WM selects and uses appropriate strategies to solve problems Problem Solving MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems Problem Solving MA5.3-2WM generalises mathematical ideas and techniques to analyse and solve problems efficiently Reasoning MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context Reasoning MA5.2-3WM constructs arguments to prove and justify results Reasoning MA5.3-3WM uses deductive reasoning in presenting arguments and formal proofs Syllabus outcomes: Number & Algebra STAGE 5.1 STAGE 5.2 STAGE 5.3 Financial Mathematics MA5.1-4NA solves financial problems involving earning, spending and investing money Financial Mathematics MA5.2-4NA solves financial problems involving compound interest     Ratios and Rates MA5.2-5NA recognises direct and indirect proportion, and solves problems involving direct proportion Ratios and Rates MA5.3-4NA draws, interprets and analyses graphs of physical phenomena   Algebraic Techniques MA5.2-6NA simplifies algebraic fractions, and expands and factorises quadratic expressions Algebraic Techniques MA5.3-5NA selects and applies appropriate algebraic techniques to operate with algebraic expressions Indices MA5.1-5NA operates with algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases Indices MA5.2-7NA applies index laws to operate with algebraic expressions involving integer indices Surds and Indices MA5.3-6NA performs operations with surds and indices   Equations MA5.2-8NA solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques Equations MA5.3-7NA solves complex linear, quadratic, simple cubic and simultaneous equations, and rearranges literal equations Linear Relationships MA5.1-6NA determines the midpoint, gradient and length of an interval, and graphs linear relationships Linear Relationships MA5.2-9NA uses the gradient-intercept form to interpret and graph linear relationships Linear Relationships MA5.3-8NA uses formulas to find midpoint, gradient and distance on the Cartesian plane, and applies standard forms of the equation of a straight line Non-Linear Relationships MA5.1-7NA graphs simple non-linear relationships Non-Linear Relationships MA5.2-10NA connects algebraic and graphical representations of simple non-linear relationships Non-Linear Relationships MA5.3-9NA sketches and interprets a variety of non-linear relationships     Polynomials MA5.3-10NA recognises, describes and sketches polynomials, and applies the factor and remainder theorems to solve problems     Logarithms MA5.3-11NA uses the definition of a logarithm to establish and apply the laws of logarithms     Functions and Other Graphs MA5.3-12NA uses function notation to describe and sketch functions Geometry & Measure STAGE 5.1 STAGE 5.2 STAGE 5.3 Area and Surface Area MA5.1-8MG calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms Area and Surface Area MA5.2-11MG calculates the surface areas of right prisms, cylinders and related composite solids Area and Surface Area MA5.3-13MG applies formulas to find the surface areas of right pyramids, right cones, spheres and related composite solids   Volume MA5.2-12MG applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders Volume MA5.3-14MG applies formulas to find the volumes of right pyramids, right cones, spheres and related composite solids Numbers of Any Magnitude MA5.1-9MG interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures     Right-Angled Triangles (Trigonometry) MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression Right-Angled Triangles (Trigonometry) MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings Trigonometry and Pythagoras' Theorem MA5.3-15MG applies Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions Properties of Geometrical Figures MA5.1-11MG describes and applies the properties of similar figures and scale drawings Properties of Geometrical Figures MA5.2-14MG calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar Properties of Geometrical Figures MA5.3-16MG proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals     Circle Geometry MA5.3-17MG applies deductive reasoning to prove circle theorems and to solve related problems Vectors Vector operations and problem solving Statistics and Probability STAGE 5.1 STAGE 5.2 STAGE 5.3 Single Variable Data Analysis MA5.1-12SP uses statistical displays to compare sets of data, and evaluates statistical claims made in the media Single Variable Data Analysis MA5.2-15SP uses quartiles and box plots to compare sets of data, and evaluates sources of data Single Variable Data Analysis MA5.3-18SP uses standard deviation to analyse data   Bivariate Data Analysis MA5.2-16SP investigates relationships between two statistical variables, including their relationship over time Bivariate Data Analysis MA5.3-19SP investigates the relationship between numerical variables using lines of best fit, and explores how data is used to inform decision-making processes Probability MA5.1-13SP calculates relative frequencies to estimate probabilities of simple and compound events Probability MA5.2-17SP describes and calculates probabilities in multi-step chance experiments Normal Distribution Normal distribution, standardizing (z-score) and the empirical rule