## Mathematics

Aims

The aims of the teaching and study of mathematics are to encourage and enable students to:

• develop inquiring minds and curiosity about mathematics
• acquire knowledge, conceptual understanding and skills to solve problems and make informed decisions
• develop skills of inquiry to design and carry out investigations and evaluate evidence to draw conclusions
• communicate mathematical ideas, arguments and practical experiences accurately in a variety of ways
• think analytically, critically and creatively to solve problems, judge arguments and make educated decisions
• appreciate the benefits and limitations of mathematics and its application in technological developments
• demonstrate attitudes and develop values of honesty and respect for themselves, others, and their shared environment.

Objectives

The objectives of mathematics listed below are final objectives and they describe what students should be able to do by the end of the course. These objectives have a direct correspondence with the final assessment criteria

A. Number

Numercy is an essential skill. A numerate has an understanding of number concepts and the skills of estimation and calculation.

Students should understand that numercy is a form of communication which has developed since humankind’s earliest beginnings, and that the evolution of mathematics is multicultural.

Number Concepts:

 Level Concepts Mathematics Forms of numbers (eg: numerals, decimals, standard form Ordinality Cardinality Pattern Number sets Magnitude Irrationals Sequences and higher-level number sets Surd form (rationals) Logarithms Extended mathematics

Number Skills:

 Level Skills Mathematics Performing basic operations Estimating Approximating Renaming Classifying Apportioning Performing and discussing problem-solving strategies Communicating and reasoning orally and in writing Writing and solving problems involving the concepts at this level Performing higher-level operations (other binary operations, powers and roots with degree equal to or greater than 3) Performing and discussing higher-level problem-solving strategies Communicating and reasoning orally and in writing using mathematical language and conventions Writing and solving problems involving the concepts at this level Extended mathematics

B. Algebra

An understanding of pattern recognition is fundamental to further learning in mathematics. Students who wish to continue studying mathematics beyond MYP will require a knowledge of algebraic concepts and skills and apply them in practical and everyday situations.

Algebra Concepts:

 Level Concepts Mathematics Numerals and variables Relations, functions and their graphical representations Expressions Equations Coordinate systems Repeated addition as multiplication Repeated multiplication as exponents Inequalities Sequences – recursive and generative rules Coordinates- systems in three dimensions Matrices Logarithms Higher-level relations, functions and their graphical representations – exponential, logarithmic, circles, rational Extended mathematics

Algebra Skills:

 Level Skills Mathematics Expanding – linear and quadratic Factoring – linear and quadratic Simplifying Substituting Solving equations – linear, simple quadratic, simultaneous – by a variety of methods including the use of graphing calculators Sketching and interpreting graphs Performing and discussing problem-solving strategies Communicating and reasoning orally and in writing Writing and solving problems involving the concepts at this level Solving higher-level equations including more difficult quadratics and simultaneous equations Manipulating rational and logarithmic expressions Performing and discussing higher-level problem-solving strategies Communicating and reasoning orally and in writing using mathematical language and conventions Writing and solving problems involving problems at this level Extended mathematics

C. Geometry and Trigonometry

The study of geometry and trigonometry enhances spatial awareness and gives insights into the realms of construction and navigation. Teachers and students should not limit their study to Euclidean geometry, but should be familiar with other geometries such as:

• transformation geometry – cultural and social use and its appearance in nature
• fractal geometry – iterative constructions
• non-Euclidean geometry – global navigation and topology and its relationship to discrete mathematics.

Geometry and Trigonometry Concepts:

 Level Concepts Mathematics Shapes and their properties Measuring Similarity and Congruence Isometric Transformations Enlargement Angles Pythagoras’ theorem Trigonometry including the use of graphs Vectors Nets Similarity and congruence theorems Non-isometric transformations Trigonometric identities 3D coordinate and vector spaces Trigonometric graphs Extended mathematics

Geometry and Trigonometry Skills:

 Level Skills Mathematics Naming and classifying Applying area/volume formulae Constructing Rotating, reflecting, translating, and enlarging Solving problems by applying Pythagoras’ Theorem, trigonometric ratios and rules, properties of shapes and angles Performing and discussing problem-solving strategies Communicating and reasoning orally and in writing Writing and solving problems involving the concepts at this level Justifying theorems for congruence, similarity, shape and angles Justifying simple trigonometric identities and applying them to solve problems Performing and discussing higher-level problem solving strategies Communicating and reasoning orally and in writing using mathematical language and conventions Writing and solving problems involving the concepts at this level Extended mathematics

D. Statistics and Probability

Statistical literacy is an awareness and understanding of the concepts and skills involved in collecting, collating and analyzing data. Students will use these skills in their investigations and use a variety of technologies. They will become aware of both the power and limitations of statistics used to support and counter opinions and propaganda, how statistics may serve to emancipate and oppress, and how statistics may be used to both inform and misinform.

Students will become aware of the difference between what happens in theory (probability) and what is observed to happen (statistics).

Statistics and Probability Concepts:

 Level Concepts Mathematics Discrete and continuous data Qualitative and quantitative data Graphical analysis and graphical representation Mathematical analysis Sampling Probability Measures of central tendency (e.g. mean, mode, median) Two variables data Linear regression Normal distribution Conditional probability Measures of spread (e.g. standard deviation) Extended mathematics

Statistics and Probability Skills:

 Level Skills Mathematics Sampling Constructing plots and graphs appropriately Calculating and locating statistics Making inferences and drawing conclusions Calculating probabilities of simple events Performing and discussing problem-solving strategies Communicating and reasoning orally and in writing Writing and solving problems involving the concepts at this level Analyzing time-series data and other bivariate data Calculating probabilities of combined and conditional events Making inferences about statistical analyses and probability Performing and discussing higher-level problem-solving strategies Communicating and reasoning orally and in writing using mathematical language and conventions Writing and solving problems involving the concepts at this level Extended mathematics

E. Discrete Mathematics

An understanding of systems has become increasingly important for people to effectively participate in today’s post-industrial/technological age.

Students should develop a sense of logic and be able to articulate this through Venn diagrams, structure diagrams and flow charts.  This is a major contribution by mathematics to approaches to learning in the MYP.

Discrete mathematics is a relatively new branch of mathematics which has its roots in abstract algebra and has adopted the language and notations of graph theory. Students should be aware of the real-world applications of discrete mathematics which may include road or rail networks, computer networks, communication networks, optimal routes, time- and project-management techniques and critical path analysis.

Discrete Mathematics Concepts:

 Level Concepts Mathematics Sets Venn Diagrams Logic Trees Networks Topology Directed Networks Extended mathematics

Discrete Mathematics Skills:

 Level Skills Mathematics Performing set operations Constructing logical diagrams Locating paths and tours Solving problems involving optimal solutions Performing and discussing problem-solving strategies Communicating and reasoning orally and in writing Writing and solving problems involving the concepts at this level Classifying and describing topological objects Performing and discussing higher-level problem-solving strategies Communicating and reasoning orally and in writing using mathematical language and conventions Writing and solving problems involving the concepts at this level Extended mathematics

### School Info

North View Middle School
5869 69th Ave N
Brooklyn Park MN  55429
Map

School Hours
8:10 am - 2:40 pm
Office Hours
7:00 am - 3:30 pm

School Office
763-585-7200
Attendance
763-585-7250

General Fax
763-585-7210
Counseling Fax
763-585-7295

### School Leadership

Principal
Diana Bledsoe

Assistant Principals

Student Support Team
6th Grade: Lyndsey Ross and Lara Haik
7th Grade: Adam Love and Shanna Schroeder
8th Grade: Mike Loberg and Kaylee Herlofsky