MATHEMATICSOVERVIEW ACADEMIC YEAR 2019/2020 MYP Grade :7 Unit Tittle Key Concept Related Global Statement of MYP Subject- concept(s) Context Inquiry group ATL Skills Content (Topics, Knowledge, Skills) Objective(s) IB :Number sense and system Orientation Mathematics A.i, ii, iii Information Diknas :Bilanganbulat, pecahan, in space and can be C.i,ii,iii, iv, v literacy skills decimal, himpunan time represented D.i, ii, iii, iv, such as : time different forms v difference based IB profile : Inquirers Form Representation - Using integers in real life context, as influenced by on GMT, time and place temperature measurement, depth of sea, height of building, tree or mainland - Using the characteristic of number, implementing KPK and FPB in real life context - Solve the real life context problems of fraction. Such as : a part of cake, fruits, etc - Operation of integers, fractions, and decimal - Solve the problems using sets in real life contexts. Such as : a set of animals, plans, fruits, etc - Identity and characters of sets IB : Introduction to algebra (patterns) Diknas :Polabilangan, barisan, danderet, Bentukaljabar, operasialjabar IB profile : Knowledgeable Logic Pattern Scientific and A logical A.i, ii, iii Critical Generalization technical process is B.i, ii, iii thinking skills innovation needed to see C.i, ii,iii, iv,v - Implementing patterns, and sequences in real patters in the life context and natural world social activities around us - Generalizing patterns to make predictions - Implementing algebraic form in real life contexts - Solve the problems using operation of algebra - Simplifying algebraic form IB : Geometry (perimeter, area) Diknas :Bangundatar (segiempatdansegitiga) IB profile : Reflective Logic Measurement Fairness and Change is the A.i, ii, iii Critical Change development result of the B.i, ii, iii thinking skills environments decisions of D.i, ii, iii, iv, Reflection that have humankind and v skills triangle or - Describe the therefore its square shapes responsibility and explain the charcteristics of triangle and square - Doing an observation or experiment to get the formula of perimeter and area - Estimate the area of irregularly shapes using triangle and square approach IB : Data Management Relationship Diknas :Penyajian data Representation Globalization Different A.i, ii, iii Media - Data collection Model and representations C.i, ii, iii, iv, literacy skills - Constructing Justification sustainability make it easier v Reflection and interpreting to understand D.i, ii, iii, iv, skills graphs and analyse v IB profile : Communicators - Presenting data Interdisciplinary: relationships about Social and emotional learning within information by (Choices) communities tabel or diagram from some media such as magazine, newspaper, television etc IB : Properties and constructions of angles Diknas :Garisdansudut Form Measurement Personal and Creativity is B.i, ii, iii Creative Space cultural enhanced D.i, ii, iii, iv, thinking skills and measuring expression through an v Transfer skills of angles - Construction understanding IB profile : Reflective - Naming and of form and classifying unique use of different space geometrical elements - Solving problems using the properties of angles in different figures or positions - Solving problems involving acute, right and obtuse angles in triangles IB : Ratios, rates, and proportions Diknas :Perbandingan, aritmetikasocial, perbandinganbertingkatdanpresentase IB Profile : Thinkers, Caring Logic Quantity Globalization A logical A.i, ii, iii Organization Equivalence and process helps us C.i, ii, iii, iv, skills problems using sustainability simplify v Transfer skills concepts of ratio quantities and D.i, ii, iii, iv, or proportions. make informed v Such as: maps, - Solving real life decisions photo, regarding the compositions of Interdisciplinary: opportunities of ingredients of InS (interactions between humans a connected food, mix and their effects on economic, social, world drinks, and and culture) medicine. - Finding a constant of proporsionality and setting up equations - Solving the daily activities about transaction, profit and loss, discount, tax - Solving the real life context about bruto, netto and tara - Manipulate the algebraic form in real life context to solve the social aritmetics problems IB : Geometry Form Diknas :Lingkaran Space Globalization Using finite A.i, ii, iii Critical Quantity and resources B.i, ii, iii thinking skills characteristics of sustainability responsibility D.i, ii, iii, iv, Reflection circle must be taken v skills IB profile : Reflective - Describe the - Determining the into formula consideration perimeter and when designing area of circle structures IB : Algebraic expressions and Representation Personal and Cultural express A.i, ii, iii Creative equations Simplification cultural themselves B.i, ii, iii thinking skills Diknas Pattern expression through pattern C.i, ii, iii, iv, algebraic design v expressions :Persamaandanpertidaksamaan linear satuvariabel Relationships D.i, ii, iii, iv, v IB profile : Knowledgeable - Expanding and simplifying - Changing the subject of the formula - Using subtitutions to evaluate expressions - Using the real life problems with one variable equations. Such as the temperature, length, speed etc - Solving equations using algebraic fractions - Finding and juatifying a general rule for simple sequences MYP Grade :8 Unit Tittle Key Concept Related Global Statement of MYP Subject- concept(s) Context Inquiry group ATL Skills Content (Topics, Knowledge, Skills) Objective(s) IB : Triangle geometry Diknas :TeoremaPythagoras IB profile : Inquirers Logic Change Orientation The A.i, ii, iii Transfer skills Equivalence in time and mathematical B.i, ii, iii Reflection skills space discoveries of C.i, ii, iii, iv, involving yesterday v triangles by - Solving problems continue to using Phytagoras help us solve theorem and its problems converse today IB : Algebra Logic Pattern Scientific Modelling A.i, ii, iii Critical thinking Diknas :Persamaan linear Simplification and using a logical B.i, ii, iii skills duavariabel, Model technical process helps C.i, ii, iii, iv, two variables innovation us understand v involving the world D.i, ii, iii, iv, algebraic around us v fractions fungsidanpersamaankuadrat IB profile : Reflective - Solving basic equations with - Factorizing linear and quadratic expressions - Finding and justifying general rules/formula for sequences IB : Geometry – Compound Form Space Scientific An A.i, ii, iii Creative volume and surface area Measurement and understanding B.i, ii, iii thinking skills Diknas :Bangunruangsisidatar Representation technical of form and C.i, ii, iii, iv, surface area of innovation space can v regular and IB profile : benefit our D.i, ii, iii, iv, compound Thinkers communities v shapes Simplification A.i, ii, iii - Finding the volume and Interdisciplinary: Design (product packaging design) IB : Exponents Logic Simplification Personal Collaboration - Evaluating Diknas System :Bilanganberpangkatdanbentukakar and cultural requires an B.i, ii, iii skills numbers with expression understanding C.i, ii, iii, iv, Communication integer and logical v skills exponents IB profile : application of Knowledgeable rules within a using the laws of system exponents IB : Coordinate geometry Form Diknas : Koordinatkartesius - Deriving and System Orientation Systems of C.i, ii, iii, iv, Media literacy Representation in space representation v skills and using the and time have their D.i, ii, iii, iv, Reflection skills Cartesian plane limitations v IB profile : Open-minded - Understanding and plotting points - Finding distance between points and finding the midpoints IB : Linear relationships Diknas : Persamaangarislurus IB profile : Thinkers Relationships Model Scientific Relationships A.i, ii, iii Critical thinking Change and in our natural B.i, ii, iii skills technical world can be C.i, ii, iii, iv, innovation represented v using models D.i, ii, iii, iv, of the linear which allow us v functions to better - Understanding and using the Cartesian plane - The components - The linear understand functions changes within y=mx+c, its in graph, gradient and y-intercept - Parallel and perpendicular lines and the relationships between their gradients - solving linear equations algebraically and graphically - solving simultaneous equations IB : Linear functions Diknas : Fungsi IB profile : Principled Relationships Change Scientific Patterns in the A.i, ii, iii Media literacy Pattern and natural world B.i, ii, iii skills contexts in technical can be C.i, ii, iii, iv, Critical thinking function to innovation represented as v skills determine the relationships D.i, ii, iii, iv, Collaboration relationships of and thus help v skills two sets in making predictions - using real life - knowing about the characteristics of functions - Presenting function that usually use in mathematics MYP Grade :9 Unit Tittle Key Concept Related Global Statement of MYP Subject- concept(s) Context Inquiry group Objective(s) ATL Skills Content (Topics, Knowledge, Skills) IB : Similarity and Right- angle Relationships Measurement Orientation Using A.i, ii, iii Organization trigonometry Space in space and knowledge it B.i, ii, iii skills Diknas System time possible to C.i, ii, iii, iv, v calculate what D.i, ii, iii, iv, v :Kesebangunandankekongruenan similar triangles - Solving problems involving we cannot IB profile : - Properties of similarity measure Inquirers IB : 3D and complex shapes Form Space Diknas :Bangunruangsisilengkung Fairness and Appropriate C.i, ii, iii, iv, v Critical development calculations can D.i, ii, iii, iv, v thinking skills IB profile : - Finding the perimeter, area save natural and volume of resources regular and Reflective irregular two dimentional and three dimentional shapes - Compound shapes IB : Statistics Diknas : Statistika, penyebaran data (mean, median, modus) Relationships Representation Fairness and Different B.i, ii, iii Information development representations C.i, ii, iii, iv, v literacy skills interpreting make it easier D.i, ii, iii, iv, v Reflection graphs to understand skills - Constructing and - Calculating the IB profile : and analyse mean, median Communicators global and mode relationships - Choosing the best Interdisciplinary: and explore measure of Science (Electricity) responsibilities central tendency within them Project : collecting data about using power of electronic tools in their house. Making statistics data about it (the lowest and highest score, mean, median, modus) IB : Probability Globalization Using a set A.i, ii, iii Transfer skills Diknas : Peluang empiric and mathematical B.i, ii, iii Reflection probabilities of danpeluangteoritik sustainability process can C.i, ii, iii, iv, v skills independent help us make D.i, ii, iii, iv, v IB profile : Principled Logic Justification - Calculating events, mutually decisions and exclusive events, choices based and combined on our personal events values - Solving problems using tree diagrams and Venn diagrams MYP Grade : 10 Unit Tittle Key Concept Related Global Statement of MYP Subject- concept(s) Context Inquiry group ATL Skills Content (Topics, Knowledge, Skills) Objective(s) IB : Algebra (Equations and Form Model Scientific and Modelling A.i, ii, iii Critical Simplification technical scientific B.i, ii, iii thinking skills real life context innovation problems to C.i, ii, iii, iv, v Media literacy into equations persamaandanpertidaksamaan get D.i, ii, iii, iv, v skills and inequality linear satuvariabel yang simplification memuatnilaimutlak, form inequalities) Diknas : - Interpreting the systems - Implementing pecahandanirrasional equations and inequality to IB profile : Knowledgeable solving the problems IB : Algebra (linear equations) Form Diknas : sistempersamaan linear Representation Scientific and Representation A.i, ii, iii Critical System technical real life context C.i, ii, iii, iv, v thinking skills innovation to be form of D.i, ii, iii, iv, v tigavariabel) - Implementing system of equations with system three variable to IB profile : Reflective solve the problems in real life IB : Algebra (Inequalities) Form Simplification Identities Solving the A.i, ii, iii Critical - Implementing Diknas : System sistempertidaksamaanduavariabel and problems in C.i, ii, iii, iv, v relationships our D.i, ii, iii, iv, v IB profile : Thinkers IB : Algebra (Functions) Form thinking skills system of inequalities with environment two variable to using form and solve the system of problems in real inequalities life Change Globalization Modelling the A.i, ii, iii Critical Diknas : Pattern and functions form B.i, ii, iii thinking skills functions Fungsikomposisidanfungsi invers Model sustainability of change in C.i, ii, iii, iv, v Collaboration - Operation of our D.i, ii, iii, iv, v IB profile : Refelctive - Relation and arithmetics environment to functions be a new - Composition of model and functions pattern - Quadratic functions - Invers functions IB : Trigonometry (extended) Measurements Identities Using A.i, ii, iii Creative Diknas : Trigonometri, Fungsi Space and tryigonometric B.i, ii, iii thinking skills trigonometry (peminatan), System relationship formulas C.i, ii, iii, iv, v Media literacy Rumusjumlahdanselisih sinus (identities and D.i, ii, iii, iv, v skills ratios in right dancosinus (peminatan) relationship) Reflection angled triangles can be possible skills IB profile : Open-minded Relationships to calculate - Measurements of angle - Trigonometric - Relating angles and sides of the what we right angled cannot measure triangles using sine, cosine, and tangent - Solving problems in right angled triangles using trigonometris ratios - Justifying and proving using theorems of similarity - Using the sine and cosine rules to solve the problems - Using the simple trigonometric identities to simplify expressions and solve equations where 0° ≤ 𝜃 ≤ 360° IB : Eksponentials and logarithms Relationships (extended) System Globalization Discovering A.i, ii, iii Critical Change and mathematical B.i, ii, iii thinking skills function graphic, sustainability relationships D.i, ii, iii, iv, v Reflection characteristics of skills exponential and Diknas : - Analyse the fungsieksponensialdanlogaritma can lead to a (peminatan) better logarithm understanding graphics, and of how apply it to the environmental real life problems systems evolve - Solve the real life IB profile : Reflective problems using exponential function and logarithm IB : Statistics Fairness and Different B.i, ii, iii Critical development representations C.i, ii, iii, iv, v thinking skills by distribution of make it easier D.i, ii, iii, iv, v Media literacy frecuency and to understand skills histogram and analyse Information global literacy skills problems about Interdisciplinary: relationships Reflection presenting data Sciences (Introducing of and explore skills chemistry) responsibilities problems about within them normal Diknas : Statistik, Distribusi normal (pendalaman) IB profile : Communicators Relationships Representation - Present the data - Solving the - Solve the distribution and take a conclusion - Presenting about taking the conclusion of hypothesis from a problems about normal distribution MYP Grade : 11 Unit Tittle IB : Arithmetic and geometric series (extended) Diknas : Key Concept Form Related Global Statement of MYP Subject-group concept(s) Context Inquiry Objective(s) ATL Skills Content (Topics, Knowledge, Skills) Change Identities Every identities A.i, ii, iii Reflection skills Simplification and and relationships B.i, ii, iii Critical information to make a relationships of the problems D.i, ii, iii, iv, v thinking skills conclusion and using the can be change to - Collect and process the procedure to prove Induksimatematik be simply form contradiction and a mathematics induction - Solve the problems using IB profile : mathematics induction Knowledgeable IB : Linear Relationships Representation Scientific and Representing a C.i, ii, iii, iv, v Organization System technical system of D.i, ii, iii, iv, v skills innovation relationships can conclusion and using the help us procedure solve understand how contextual problems IB profile : to make better about linear Thinkers use of resources programming programming Diknas : program linier duavariabel - Collect and process the information to make a Interdisciplinary: Design (Pengolahanbaha nnabatidanhewan imenjadimakanan khas international) IB : Matrices Diknas : Matriks IB profile : Inquirers Form Model Orientation Representing the A.i, ii, iii Organization Representation in space and problems to be B.i, ii, iii skills time form of matrices D.i, ii, iii, iv, v model - Identifying the characteristics of matrices and similar matrices in contextual problems - Identifying fact about the characteristics of determinant and invers on matrices 2x2 and 3x3 - Solve the real life problems using determinan and invers of matrices - Solve the problems about geometry transformation using matrices IB : Sequences Relationships Diknas : System Scientific and Discovering B.i, ii, iii Organization Change technical relationships can C.i, ii, iii, iv, v skills based on iterative and innovation lead to D.i, ii, iii, iv, v Literacy skills recursive Barisandanderet understanding - Identify the sequences - Solve the contextual; IB profile : how systems problems using geometry Thinkers evolve and arithmetic sequences - Solve the problems of sequences and series of geometry and arithmetics IB : Limit function Relationships System Scientific and The relationship A.i, ii, iii Critical Diknas : limit Generalization technical between two or B.i, ii, iii thinking skills fungsialjabar, Simplification innovation more systems D.i, ii, iii, iv, v limit can be fungsitrigonometr generalized to i (pendalaman) be a simply - Analysing the characteristics of limits function - Solve the problems using limits functions - Solve the problems using function limits function of IB profile : trogonometric Knowledgeable IB : Differentiation Diknas : Relationships Model Identities Decision making A.i, ii, iii Critical Representation and can be improved B.i, ii, iii thinking skills characteristics of relationships by using a D.i, ii, iii, iv, v Reflection skills differentiation - Identifying fact about the turunanfungsialja model to bar, represent information to get the turunanfungsitrig relationships conclusion using the - Collect and process the onometri procedure to determine (pendalaman) the differentiation of aljabraic function by IB profile : Open- using the definition or minded characteristics - The first differentiation about minimum score, maksimum score, monoton function and slope of the tangent line curve - Contextual problems about minimum score, maksimum score, monoton function and slope of the tangent line curve - Solve the problems about differentiation function of trigonometric IB : Integral Form Model Fairness and Architects and A.i, ii, iii Critical System development engineers must B.i, ii, iii thinking skills integral and their taktentufungsialja use finite D.i, ii, iii, iv, v Reflection skills characteristics bar resources Diknas : integral - Solve the problems responsibly IB profile : when they Thinkers design new - Identify fact about about integral structures IB : Circle Space Orientation Logic can be A.i, ii, iii Collaboration geometry Measurement in time and used to justify B.i, ii, iii skills circle and the (extended) Justification space what we C.i, ii, iii, iv, v Communicatio relationships between Diknas : discover through D.i, ii, iii, iv, v n skills circle and line persamaanlingkar measurement an (pendalaman) Logic - Analyse the concept of - Determine the area of intersection of two circle - Analyse the relationships IB profile : between circle, tangent Knowledgeable line, and area of intersection of two circle - Solving the problems about circle IB : Polynomial Relationships Diknas : Model Personal and Polynomial can A.i, ii, iii Critical Representative cultural be expressed as B.i, ii, iii thinking skills the polynomial in real expression a multiplication D.i, ii, iii, iv, v Transfer skills life problems polynomial of other - Implementing and solve - Operating addition, IB profile : polynomials substraction, and Knowledgeable with the multiple of two reminder. polinomials and apply it in the real life context - Polynomial factorisation - Solving the problems with the operation of polynomial and factorisation MYP Grade : 12 Unit Tittle IB : 3D and complex shapes Diknas : geometribidang, Key Related Global Statement of MYP Subject-group Concept concept(s) Context Inquiry Objective(s) Form Space ATL Skills Content (Topics, Knowledge, Skills) Fairness and Appropriate C.i, ii, iii, iv, v Critical development calculations can D.i, ii, iii, iv, v thinking relationships between skills similarity and save natural - Identify the geometry ruang resources congruency using the sinus, cosinus and IB profile : Inquirers geometry transformation - Solving the problems about similarity and congruency - Identify the distance in space - Solving the problems using the procedure of determining distance in space - Solving the problems in space geometry IB : Vectors (extended) Diknas : vector (peminatan) Logic Generalization Orientation Generalizing A.i, ii, iii Critical Measurement in space and the B.i, ii, iii thinking of scalar and vectore, time mathematical D.i, ii, iii, iv, v skills the using of scalar and problems to - Describe the concepts vector to prove some IB profile : Reflective get logic characterictics about measurement distance and angle on vector - Solve the problems about scalar and vectors, vector projection, length of vector, angle between vectors in two dimensional space and three dimentional space IB: Probability Generalization Identites and Decisions A.i, ii, iii Critical Justification relationships reached B.i, ii, iii thinking multiplication rules, Kaidahpencacahan, through logic C.i, ii, iii, iv, v skills permutation and peluangkejadianmajemuk, may not D.i, ii, iii, iv, v Media combination in peluang binomial always reflect literacy skills contextual problems (pendalaman) beliefs and Reflection values skills Diknas : Interdisciplinary: Logic - Using addition rules, - Solve the problems about probability - Solve the problems Islamic studies about binomial (warisdalamislam) probability IB profile : Principled Sukoharjo, April 2019 MYP Coordinator AF WCIS Teacher Farida EstiWidayati Farida EstiWidayati