Grade 9 Curriculum Map

Transcription

1 Grade 9 Curriculum Map Unit Title (Time frame) Algebra 1 (4 Weeks) Topics in arithmetics Algebraic fractions Equations and Inequalities Formulae and Simultaneous equations (2 Standards IB Objectives Knowledge/Content Skills Assessments Key resources 7: Look for and make use of structure Ai select appropriate mamatics when solving problems 7: Look for and make use of structure Ai select appropriate mamatics when solving problems Expansion and factorization, distributive law, difference of two squares, perfect square expansion, furr expansion, algebraic common factors, factorizing with common factors, factorizing with common factors, perfect squares factorization, expression with 4 terms, factorizing ax 2 +bx +c, splitting middle term, miscellaneous factorization Percentage, profit and loss, simple interest, reverse percentage problems, multiplier and chain percentage, compound growth, speed, distance and time, travel graphs Simplifying algebraic fractions, multiplying and dividing algebraic fractions, adding and subtracting algebraic fractions, more complicated algebraic fractions Solving linear equations, solving equations with fractions, forming equations, problem solving using equations, Power equations, interpreting linear inequalities, solving linear inequalities, solving one variable inequality with technology, linear inequality regions, integer points in regions, problem solving (Extension) Formula substitution, formula rearrangement, formula derivation, more difficult rearrangement, simultaneous equations, problem solving expand mamatical expressions using distributive law, difference of two square or perfect square expansion They will also know how to factorize expressions with common factors, perfect squares (Or difference of two squares) and expressions of form: ax 2 +bx +c calculate Percentage, profit and loss, simple interest, reverse percentage problems, multiplier and chain percentage, compound growth, speed, distance and time, travel graphs simplify algebraic and more complicated fractions solve linear equations and inequalities by hands and with a calculator Students will learn how to: Substitute a number or a variable into a formula, to rearrange formula to change subject They will also learn different methods to solve simultaneous and C: one hour and calculator free free Summative: Test 1 (Objective A): one hour and calculator free, C free discussion, classwork, and C): one hour and calculator

2 Mensuration (Length and Area) Theorem of Pythagoras Mensuration ( Solids and Container) Similarity of ors Dii select appropriate mamatical strategies when solving auntic reallife Dv justify wher a makes sense in context of auntic real-life situation Div justify degree of accuracy of a Diii prove, or verify and justify, general rules Dii select appropriate mamatical strategies when solving auntic reallife Dii select appropriate mamatical strategies when solving auntic reallife Civ communicate complete, coherent and concise mamatical lines of Cii use appropriate mamatical explanations Length, perimeter, area, circle and sector Pythagoras orem, converse of Pythagoras orem, problem solving, circle orem, three dimensional problems Surface area, volume, capacity, mass, compound solid Similarity, similarity triangles, problem solving, area and volume of similar shapes equations Students will learn how to calculate length, area and volume of basic geometrical shapes Students will learn how to use Pythagoras orem to solve a question in a right angle triangle They will also learn how to use Pythagoras to solve real life three dimensional questions Studens will learn how to calculate volume, surface area, capacity of containers They will also know how to find mass of solids prove similarity of triangles and find areas and volume of similar shapes free discussion, classwork, free discussion, classwork, free discussion, classwork, (Group work) Summative: 20 mini group presentation (Problem solving), Test 1: (Objectives A, B and D): one hour and calculator free discussion, classwork,, B free Circle geometry Lines Angles and polygons of ors 5: Use appropriate Civ communicate complete, coherent and concise mamatical lines of Ci use appropriate mamatical terminology) in both oral and written explanations Cii use appropriate forms of mamatical representation to present information Circle orem, cyclic quadrilaterals Angle properties, triangles, isosceles triangle, interior angles of a polygon, exterior angles of a polygon use Circle and Cyclic Quadrilateral Theorem to solve Geometry problems Students will learn how to use angle, triangles and polygons properties to solve related problems discussion, classwork,, C free discussion, classwork,, C free

3 Graphs, Charts Statistics Intro to Investigative tasks (4 5: Use appropriate 4: Model with mamatics of ors Cii use appropriate forms of mamatical representation to present information Ciii move between different forms of mamatical representation Civ communicate complete, coherent and concise mamatical lines of Cv organize information using a logical structure Di identify relevant elements of auntic real-life Dii select appropriate mamatical strategies when solving auntic reallife iv justify degree of accuracy of a v justify wher a makes sense in context of auntic real-life situation Statistical graphs, graphs which compare data, using technology to graph data Categorical and numerical data, discrete and continuous data and ir graphs All topics covered so far represent statistical data in a graph and how to compare data on graphs They will also know how to use a calculator to draw various types of graphs Students will learn different types of data, how to represent discrete data and to draw histograms Student will learn how to conduct a simple investigative task and to write a complete criteria based report on investigation discussion, classwork,, C free discussion, quizzes, classwork,, C free group class, observation during class discussion, classwork, (Group work) Summative: 20 minutes group presentation covering Objectives A, B,C and D Grade 10 Curriculum Map Unit Title (Time frame) Revision (5 teaching hours or 1 week) Standards MYP Objectives Knowledge/Content Skills Assessments Key resources Aero_Stand_1: Make sense of precision Ai select appropriate mamatics when solving problems Ci use appropriate mamatical explanation Equations and inequalities, coordinates geometry, factorization and expansion Solve equations and inequalities, find equation of a line through 2 points, graph a linear function, factorise and expand algebraic expressions discussion, quizzes, classwork, and C) The test will be calculator free Mamaticss New Additional mamatics, 1 Sets Aero_Stand_2: Reason Special notation Students will know basic on

4 (8 teaching hours or 2 2 Coordinate Geometry hours or 4 abstractly and precision precision Ci use appropriate mamatical explanations Special number sets Interval Venn Diagram Intersection and Intersection Problem solving Plotting points, distance between 2 points, midpoint of a line segment, gradient of a line segment, gradient of parallel and perpendicular lines, equation of a straight line, Perpendicular bisector Intersection of straight lines and curve sets and how to use set notation to improve ir Mamatical communication They will also know to use set ory to solve real life problems Students will learn to represent points on a Cartesian coordinate system, to find midpoint of a line segment, to find distance between 2 points, and to write equation of a line discussion, classwork, and quizzes Objectives A and C will be discussion, classwork, Objectives A and D will be Mamaticss New Additional mamatics, Mamaticss New Additional mamatics, 3 Equations and Functions+ Transformations hours or 8 4 Trigonometry hours or 4 5 Vectors in 2 D (12 teaching hours or 3 Aero_Stand_7: Look for and make use of structure Aero_Stand_8: Look for and express regularity in repeated Aero_Stand_5: Use appropriate Aero_Stand_3: Construct viable of ors Aero_Stand_2: Reason abstractly and Bi select and apply mamatical problem-solving techniques to discover complex patterns Bii describe patterns as general rules consistent with findings Cii use appropriate forms of mamatical representation (Diagram, graphs ) to present information Biii prove, or verify and justify, general rules when solving problems Biv communicate complete, coherent and concise mamatical lines of Di identify relevant elements of auntic real-life Di identify relevant elements of auntic real-life Dii select appropriate mamatical strategies when solving auntic reallife Linear equations, equations with fraction, linear simultaneous equations, quadratics, exponential and logarithmic equations introduction to functions, composite functions, inverse functions, Absolute valued functions Radian measurement, Trigonometric Ratios and general angles, Trigonometric ratios of general angles, trigonometric equations (Simple, and complex), trigonometric graphs, proving trigonometric identities, Basic concepts, vectors expressed in terms of 2 non parallel vectors, Position vectors, Vectors in a Cartesian plane Solve all basic equations, find domain and range of a function, find a composite and inverse of a function, graph all basic functions use basic trig ratios to solve problems related to right angle triangles They will also know how to: Solve simple and more complex equations, graph trigonometric functions perform basic operations (Addition, subtraction and multiplication) on vectors They will also know how to find magnitude of 2 vectors and distance between 2 vectors represented in a plane discussion, classwork, Objectives A and B will be discussion and presentation(problem solving), classwork, calculator free Objectives A and B will be discussion and group presentation (problem solving), classwork, Objective D will be Mamaticss New Additional mamatics, Mamaticss New Additional mamatics, Mamaticss New Additional mamatics, 6 Descriptive statistics +2 variable analysis (12 teaching Aero_Stand_5: Use appropriate Cii use appropriate forms of mamatical representation (Diagram, graphs ) to present information Ciii move between different forms of Type of data, organizing data, Representation of numerical data, mean, median, mode of discrete and continuous data, Students will learn how to: Represent discrete and continuous data, calculate central tendency of a given discussion, classwork, Summative: Test 1, one hour, Mamaticss

5 hours or 3 7 Probability (8 teaching hours or 2 8 Investigation and Modeling (Group work) hours or 4 Aero_Stand_3: Construct viable of ors Aero_Stand_4: Model with mamatics mamatical representation Cv organize information using a logical structure Di identify relevant elements of auntic real-life Dii select appropriate mamatical strategies when solving auntic reallife Dv justify wher a makes sense in context of auntic real-life situation cumulative frequency, spread of data, Introduction to probability estimating probability, Compound events, tree diagrams, Sampling with and without replacement Mutually exclusive and nonmutually exclusive events All topics covered so far in academic year data They will also know how to calculate range, interquartile range, and standard deviation of a given data They will also know how to calculate linear regression line using calculator and by hand calculate simple probability, and also probabilities involving compound events (Sampling with and without replacement), using tree diagrams Students will learn how to conduct a scientific investigation on a Mamatics topic They will know how to write a report based on given criteria calculator allowed test Objectives A and C will be discussion, classwork, Will cover 3 units of work and will focus mainly on IB objectives related to this unit discussion, classwork, Summative: 20 minutes Group presentation Objectives A, B, C and D will be New Additional mamatics, Mamaticss New Additional mamatics, Mamaticss New Additional mamatics,