# Patterns in the Unit Circle

In this assessment, students investigate patterns in the unit circle, namely patterns in the value of the three major trigonometric rations (sine, cosine, and tangent) in the four quadrants of the unit circle. By the end of the assessment, students are able to write a general formula for each of these three trigonometric ratios.

Math Concepts: unit circle trigonometry sine cosine tangent quadrant degree radian angle
MYP Related Concepts: generalization patterns
MYP Key Concepts: form
MYP Global Context: Scientific and Technical Innovation

# Investigating Tessellations

In this assessment, students investigate tessellations and how (i.e. with what geometrical transformations) they can be made. In addition, students look into the connection(s) between Mathematics and (an)other subject(s).

Math Concepts: transformations rotation reflection translation geometry
MYP Related Concepts: change models patterns
MYP Key Concepts: form
MYP Global Context: Personal and Cultural Expression

# Investigating Infinite Radicals

In this assessment, students investigate patterns in infinite radicals by examining a simple infinite radical first and analyzing what happens for very large values of n. With further examples, students discover patterns that can help them find a general formula for infinite radicals in the given form.

Math Concepts: radicals sequences graphs
MYP Related Concepts: generalization patterns
MYP Key Concepts: logic
MYP Global Context: Scientific and Technical Innovation

# Consecutive Integers Investigation

Students will investigate patterns within number sets in relation to operations that occur between the numbers. Part A will guide students as they explore relationships between adding and subtracting consecutive positive integers. Part B will provide an unguided task where students will carry out a similar investigation to Part A, but for negative odd integers.

Math Concepts: Consecutive Numbers Odd & Even Numbers Adding & Subtracting Integers Negative Integers
MYP Related Concepts: systems
MYP Key Concepts: connections
MYP Global Context: Scientific and Technical Innovation

# Magic Squares Investigation

In this investigation students will be assessed on their ability to identify patterns using integers in operations. To do this we use a unique math concept known as “Magic Squares” which have rules pertaining to its “Magic Sum.” In Part A students will develop an understanding of Magic Squares. In Part B, they will be guided to explore simple patterns regarding addition of integers. The more challenging Part C, which is more open-ended, has students exploring magic squares when they are multiplied by an integer.

Math Concepts: Operations with Integers Magic Squares
MYP Related Concepts: patterns systems
MYP Key Concepts: form
MYP Global Context: Orientation in Space and Time