# 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

# Sum of Angles in a Polygon

Students will engage in an exploration of how triangles can be used to figure out the sum of angles in a polygon. In Part A, they will first be guided towards identifying the relationship between the number of sides in a polygon and the number of triangles that make the polygon. In Part B, students, in a more open-ended task will look for the relationship that connects the number of sides in a polygon and the sum of angles of the polygon.

Math Concepts: Interior Angle Sum of Interior Angles in Polygon Sum of Angles in Triangle Polygon Names
MYP Related Concepts: generalization patterns space
MYP Key Concepts: form
MYP Global Context: Orientation in Space and Time

# Paper Ratios Investigation

The A-sized paper range many of us use for printing actually has various unique patterns that are interrelated. This is a nice assessment because it allows students to investigate a real-world phenomenon that has several relationships. In part A students will explore how the length, width, and the ratio between the dimensions all have patterns. In Part B students will explore a made-up currency that also has a pattern to its length, width, and ratio that can be shown by the change of denomination.

Math Concepts: Simplifying Ratios Equivalent Ratios Rounding Decimals Ratios
MYP Related Concepts: simplification
MYP Key Concepts: change
MYP Global Context: Globalization and Sustainability

# City Landscaping Investigation

This is a great assessment for exploring multiple relationships and rules stemming from one pattern. The scenario shows a pattern of geometric shape embedded into another shape, with the shapes being able to be measured in size based on unit measurements. In Part A students will explore relationships of different variables about square greeneries. Then, in Part B students will go through an unguided investigation of greeneries in the size of a rectangle.

Math Concepts: Area Perimeter Measurement
MYP Related Concepts: measurement patterns space
MYP Key Concepts: aesthetics form
MYP Global Context: Globalization and Sustainability