MYP Mathematics - Grade 10

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Math Standard Summary:
 
The study of mathematics is a fundamental part of a balanced education. It promotes a powerful universal language, analytical reasoning and problem-solving skills that contribute to the development of logical, abstract and critical thinking. Mathematics can help make sense of the world and allows phenomena to be described in precise terms. It also promotes careful analysis and the search for patterns and relationships, skills necessary for success both inside and outside the classroom.
 
MYP mathematics aims to equip all students with the knowledge, understanding and intellectual capabilities to address further courses in mathematics, as well as to prepare those students who will use mathematics in their workplaces and lives in general.
 
Units and topics:
Unit 1 - Number. What types of numbers are there?
  • Revise Exponents and Scientific notation
  • Types of numbers
  • Currency and units
  • Number Patterns
  • Sequences (extension)
Unit 3 - Geometry and Trigonometry. How accurately can we model the real world?
  • 2D and Coordinate Geometry
  • Right-angled triangles
  • Circle Theorems
  • 3D Geometry - areas and volumes
  • Sine and cosine rules (extension)
Unit 2 - Algebra. Where can we find patterns in real life?
  • Linear and non-linear algebra revision
  • Linear and non-linear functions
  • Graphs and their transformation
  • Algebraic fractions (extension)
Unit 4 - Statistics and Probability. Lies, damn lies and statistics! 
  • Displaying data
  • Measures of center and spread
  • Probability
Aims:  As stated in the MYP Mathematics  guide, the aims of MYP Math are to encourage and enable students to
  • enjoy mathematics, develop curiosity and begin to appreciate its elegance and power
  • develop an understanding of the principles and nature of mathematics
  • communicate clearly and confidently in a variety of contexts
  • develop logical, critical and creative thinking
  • develop confidence, perseverance, and independence in mathematical thinking and problem-solving
  • develop powers of generalization and abstraction
  • develop the ability to reflect critically upon their own work and the work of others.
  • apply and transfer skills to a wide range of real-life situations, other areas of knowledge and future developments
  • appreciate how developments in technology and mathematics have influenced each other
  • appreciate the moral, social and ethical implications arising from the work of mathematicians and the applications of mathematics
  • appreciate the international dimension in mathematics through an awareness of the universality of mathematics and its multicultural and historical perspectives
  • appreciate the contribution of mathematics to other areas of knowledge
  • develop the knowledge, skills and attitudes necessary to pursue further studies in mathematics
Assessment criteria:
Feedback on and final levels of achievement for assessments are based on four equally weighted assessment criteria 
 
Assessment Criteria
At the end of year 9, students should be able to:
A
Knowing and understanding
select appropriate mathematics when solving problems in both familiar and unfamiliar situations. Apply the selected mathematics successfully when solving problems. Solve problems correctly in a variety of contexts.
B
Investigating patterns
select and apply mathematical problem-solving techniques to discover complex patterns. Describe patterns as general rules consistent with findings. Prove, or verify and justify, general rules.
C
Communicating
use appropriate mathematical language (notation, symbols and terminology) in both oral and written explanations. Use appropriate forms of mathematical representation to present information. Move between different forms of mathematical representation. Communicate complete, coherent and concise mathematical lines of reasoning. Organize information using a logical structure.
D
Applying mathematics in real life contexts
identify relevant elements of authentic real-life situations. Select appropriate mathematical strategies when solving authentic real-life situations. Apply the selected mathematical strategies successfully to reach a solution. Justify the degree of accuracy of a solution. Justify whether a solution makes sense in the context of the authentic real-life situation.
Required materials:
Please bring the following materials to every class:
  • Graphic (TI-84+) calculator
  • Notebook
  • Pens,pencils,ruler
  • Textbook or online version
How to be successful
  • Complete homework on the day that it is set.
  • Bring a calculator to lessons
  • Concentrate in class


Math Extended Summary:
Math Grade 10 Extended is a course which challenges the student to understand how topics in advanced algebra, trigonometry, and statistics work mathematically, and apply those concepts to areas outside of the classroom.  Multiple solutions to equations, data analysis, and use of technology including a graphing calculator are all examples of what students will experience during this course.  Student driven inquiry, exploration, and collaboration will be a focus.
 
Units and topics:
Unit 1 – Polynomial Functions
  • Linear Systems
  • Quadratic Functions
  • Polynomial analysis
Unit 3 – Functions, Exponents, Logarithms           
  • Rational Exponents and Radical Functions
  • Exponential and Logarithmic Functions
  • Rational Functions
Unit 2 – Trigonometry
  • Trigonometric Ratios and Functions
  • Trigonometric Graphs, Identities, and Equations
Unit 4 – Statistics
  • Data Analysis
  • Correlation
  • Linear Regression
Aims: As stated in the MYP Mathematics guide the aims of MYP mathematics are to encourage and enable students to: 
  • enjoy mathematics, develop curiosity and begin to appreciate its elegance and power
  • develop an understanding of the principles and nature of mathematics
  • communicate clearly and confidently in a variety of contexts
  • develop logical, critical and creative thinking
  • develop confidence, perseverance, and independence in mathematical thinking and problem-solving
  • develop powers of generalization and abstraction
  • apply and transfer skills to a wide range of real-life situations, other areas of knowledge and future developments
  • appreciate how developments in technology and mathematics have influenced each other
  • appreciate the moral, social and ethical implications arising from the work of mathematicians and the applications of mathematics
  • appreciate the international dimension in mathematics through an awareness of the universality of mathematics and its multicultural and historical perspectives
  • appreciate the contribution of mathematics to other areas of knowledge
  • develop the knowledge, skills and attitudes necessary to pursue further studies in mathematics
  • develop the ability to reflect critically upon their own work and the work of others.
Assessment Criteria:  Feedback on and final levels of achievement for assessments are based on four equally weighted assessment criteria
 
Assessment Criteria
At the end of year 5, students should be able to:
A
Knowing and understanding
select appropriate mathematics when solving problems in both familiar and unfamiliar situations. Apply the selected mathematics successfully when solving problems. Solve problems correctly in a variety of contexts.
B
Investigating patterns
select and apply mathematical problem-solving techniques to discover complex patterns. Describe patterns as general rules consistent with findings. Prove, or verify and justify, general rules.
C
Communicating
use appropriate mathematical language (notation, symbols and terminology) in both oral and written explanations. Use appropriate forms of mathematical representation to present information. Move between different forms of mathematical representation. Communicate complete, coherent and concise mathematical lines of reasoning. Organize information using a logical structure.
D
Applying mathematics in real life contexts
identify relevant elements of authentic real-life situations. Select appropriate mathematical strategies when solving authentic real-life situations. Apply the selected mathematical strategies successfully to reach a solution. Justify the degree of accuracy of a solution. Justify whether a solution makes sense in the context of the authentic real-life situation. 
Required Materials:
Please bring the following materials to every class:
  • Charged laptop
  • Notebook
  • Folder or Binder for class papers
  • Pencil
  • Graphing Calculator (TI-84 plus recommended)
 
 

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