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Mathematics

Mitzi Aguilar

 Math Resources and Big Ideas

 
 
 
Quadratic Song :  make your own song to be played on the PB Middle Video Bulletin and earn service

Mathematician of the Day 

History of Math from University of St. Andrews in Scotland 

 +Plus Magazine...Living Maths (check out the awesome podcasts) 

 

Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of the world. - Roger Bacon (1214-1294)

The student 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.

Math plays an essential role both within the school and in society. It promotes a powerful universal language, analytical reasoning and problem solving skills that contribute to the development of logical, abstract and critical thinking. Understanding and being able to use mathematics with confidence is not only an advantage in school but also a skill for problem solving and decision making in everyday life.

Math is the foundation for the study of sciences, engineering and technology.It is also increasingly important in other areas of knowledge such as economics and social sciences. Our IB math curriculum aims to equip all students with the knowledge, understanding and intellectual capabilities to provide a strong foundation for higher learning, and practical use in every day life.

Our math instruction expects all students to appreciate the beauty and usefulness of mathematics as a remarkable cultural and intellectual legacy of humankind, and as a valuable instrument for social and economic change in society.

Pacific Beach Middle School offers math courses based on student achievement levels. 

2014-2015 - Courses
6th Grade Common Core
7th Grade Common Core
8th Grade Common Core

Accelerated 6th Grade
Accelerated 7th Grade
Integrated 1
Integrated 2

Support: We also offer additional support for students who need help to achieve grade level standards and age-appropriate IB objectives.
 
IB and the Common Core
 
IB mathematics is not a set of mandatory tasks but rather a philosophy of teaching that exemplifies what the CCSS are attempting to accomplish. With a focus on concepts, and applications, students learn not only where the mathematics comes from, but where it can be used in the real world.
 - Connecting IB to the Common Core, July, 2013
 
The teaching and learning that underpin the move to the Common Core Standards are nothing new to IB educators at Pacific Beach Middle School. 
 
The rigorous IB Middle Years Programme curriculum framework, within which schools develop their own units of study, ensures that students can meet the learning objectives demanded in the CCSS. The hard work already put forth by our IB educators ensures that this will be a smooth transition.
 
We will continue align the rigorous standards and revise our current units to align the IB objectives with the changes in new grade level standards and courses outlined for San Diego Unified 2014-2015.
 
See links to CCSS resources
 
CCSS & IB Middle Years Programme - alignment summary at bottom of page
 
IB MYP Mathematics Objectives - updated for all IB World Schools, 2014
A: Knowledge and Understanding
By the end of year 3, 8th grade students should be able to:
i.    select and appropriate mathematics when solving problems
ii.   apply the selected mathematics when solving problems
iii.  solve problems correctly in both familiar and unfamiliar situations in a variety of contexts.
 
B: Investigating Patterns (student discovery)
By the end of year 3, 8th grade students should be able to:
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
By the end of year 3, 8th grade students should be able to:
i.    use appropriate mathematical language, (notation, symbols, terminology) in both oral and written explanations
ii.   use appropriate forms of mathematical representation to present information
iii.  move between different forms of mathematical representation
iv.  communicate complete, coherent and concise mathematical lines of reasoning
v.   organize information using a logical structure.
 
D: Applying Mathematics in Real-life Contexts
By the end of year 3, 8th grade students should be able to
i.    identify relevant elements of authentic real-life situations
ii.   select appropriate mathematical strategies successfully to reach a solution
iii.  explain the degree of accuracy of a solution
iv.  explain whether a solution makes sense in the context of the authentic real-life situation.
 
The aims and objectives of MYP mathematics Middle Years Programme clearly support the implementation of the CCSS in mathematics.
 
CCSS Standards Align with IB MYP
1. Make sense of problems and persevere in solving them
   IB alignment - IB objectives: A & D; Learner Profile: thinker, inquirer, reflective knowledgeable; ATL skills: thinking; Concepts: form and function
2. Reason abstractly and quantitatively
   IB alignment - IB objectives: B & D; ATL skill: thinking; Concept: relationship
3. Construct viable arguments and critique the reasoning of others
   IB alignment - IB objectives: B & C; ATL skill: communicate; Concept: logic
4. Model with mathematics
   IB alignment - IB objectives: C & D; MYP global contexts; ATL skill: transfer knowledge between content and apply to real-world situations; Concept: form, function, systems
5. Use appropriate tools strategically
   IB alignment - IB objectives: A, B & D; ATL skill: research; Learner Profile: inquirer
6. Attend to precision
ATL = Approaches to learning are set of skills that transfers to all subject areas. The learner develops these skills through all three IB programs (primary, middle and diploma years). These are a set of lifelong learning that will be used in college, career, and life.
   IB alignment - IB objectives: C & D; ATL skill: communication; Learner Profile: reflective
 
The IB has contributed a global dimension to the discussions of CCSS in the United States. While the CCSS sets standards for what a student we do, the IB objectives are designed to meet the developmental needs of students. Across the IB continuum, students develop learning profile traits. IB learners strive to become inquirers, knowledgeable, thinkers, communicators, principled, open-minded, caring, risk-takers, balanced and reflective. In the MYP specifically, learning strategies focus on empowering the student through inquiry, action. It is expected that students will develop knowledge, skills and understandings that will inspire a lifetime of learning, both independently and in collaboration with others. An IB education centers on more than just standards as it aims to develop effective approaches to teaching and learning and student exploration and discovery of significant content within real-life global contexts.
 
Assessment Rubric Drafts