MYP Mathematics - Grade 7

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Summary:
 
Math 7 takes everything you did in 6th grade to a new level. Not only will you work to improve your arithmetic skills, you will also be able to further develop your analytic thinking skills, logical reasoning, and begin to master algebra skills. In Math 7, you get to extend addition, subtraction, multiplication, and division and do these operations with negative numbers and rational numbers. Furthermore, your understanding of ratios and expanding understanding of proportions will allow you to solve single- and multi-step algebraic and real-world math problems. You also will be able make advancement in your knowledge of area, surface area and volume by solving problems about two and three-dimensional objects. Additionally, you can build on your previous work with statistics and learn about the importance of representative samples for drawing inferences and making predictions.
 
Real-world applications of math topics are integral part of your MYP math course so that you become aware of the importance of the subject and its connections in your everyday life. MYP mathematics accents the importance of proper communication; therefore you will be expected to explain and defend your thinking, reasoning, and interpretations verbally and in writing. Also, in accordance with MYP, you will constantly be looking for patterns to help verify mathematical rules and procedures.
 
On completion of Math 7 you should feel stronger in mathematics, better equipped and more comfortable to address problems in future math courses and in the real world.
 
Unitsand topics:
 
 
Unit 1 - Numbers
  • Theory including divisibility rules, multiples, and factors
  • Types of numbers (example: prime and composite)
  • Exponents and square roots
  • Positive and negative integers
  • Rational numbers
  • Estimation
 
Unit 4- Ratios and Rates of Change
  • Unit rates, ratios, and proportions
  • Rates of change from graphs and expressions
  • Using rates to solve problems
  • Dependent and independent variables
  • Intercepts on the coordinate plane
  • Graphing lines from equations and writing equations from graphs
 
Unit 2 - Algebra
  • Ratios
  • Orderof operations
  • Operationswithintegersand variables
  • Simplifyingexpressionsand solving equations
  • Equationsand Inequalities
 
Unit 5 - Statistics
  • Collecting data and using appropriate data displays
  • Mean, median, mode and measures of center
  • Consider the effect of additional data and/or outliers on statistical measures
  • Generalize population from sample data
Unit 3- Geometry
  • Perimeter, area, surface area, and volumes
  • Patterns in mathematics and geometry
  • Angles in parallel lines cut by a transversal
  • Calculate measures of missing angles
  • Basic circle properties
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:
  • Assessment for is criterion-related, based on four equally weighted assessment criteria
  • Students in Grades 7 and 8 work over a two-year period to demonstrate their learning according to learning objectives described in the same rubric.
 
AssessmentCriteria
Atthe end of grade8, students should be able to:
A
Knowingand understanding
i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations
ii. apply the selected mathematics successfully when solving problems
iii. solve problems correctly in a variety of contexts.
B
Investigating patterns
i.select and apply mathematical problem-solving techniques to discover complex patterns
ii. describe patterns as relationships and/or general rules consistent with findings
iii. verify and justify relationships and/or general rules.
C
 
Communicating
i. use appropriate mathematical language (notation, symbols and terminology) in both oral and written explanations
ii. use different forms of mathematical representation to present information iii. move between different forms of mathematical representation
iv. communicate complete and coherent mathematical lines of reasoning v. organize information using a logical structure.
 
D
 
Applyingmathematics in real-lifecontexts
i. identify relevant elements of authentic real-life situations
ii. select appropriate mathematical strategies when solving authentic real-life situations
iii. apply the selected mathematical strategies successfully to reach a solution iv. explain the degree of accuracy of a solution
v. explain whether a solution makes sense in the context of the authentic real-life situation.
Requiredmaterials:
 
Please bring the following materialsto every class:
  • Chargedlaptop
  • Notebook
  • Folderor Binder
  • Pencilsand Pens
  • Basicorscientific Calculator
  • Agenda

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