Tessellations Activity - Angles in Polygons

Overview: By way of tessellations, students investigate the interior angles of polygons and generalize to a pattern rule.

Curriculum Expectation(s):

• Measurement and Geometry: Determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems

Learning Goal(s):

• To explore/identify the relationship between the sum of the interior angles and the number of sides in a polygon

Solving Equations by Balancing

Overview: Students will solve equations using visual representations of mobiles.

Curriculum Expectation(s):

• Number Sense and Algebra: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations

Learning Goal(s):

• Students will explore how to solve equations by balancing
• Students will represent a mobile puzzle with an algebraic expression

Optimizing a Rectangle

Overview: Students determine the optimal swimming area for a fixed swimming perimeter, selecting from a variety of tools/resources to support their investigation.

Curriculum Expectation(s):

• Linear Relations: apply data-management techniques to investigate relationships between two variables
• Measurement and Geometry: determine, through investigation, the optimal values of various measurements of rectangles

Learning Goal(s):

• To investigate the area of different rectangles given a fixed perimeter, where one side is bounded by an obstruction
• To determine the maximum area of a rectangle with a fixed perimeter, where one side is bounded by an obstruction
• To use data management strategies to organize data

Angles in Polygons Activity

Overview: Students investigate the interior angles of polygons and generalize to a pattern rule.

Curriculum Expectations:

• Measurement and Geometry: Determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems

Learning Goal:

• To explore/identify the relationship between the sum of the interior angles and the number of sides in a polygon.
  

Linking Cube Race

Overview: Students race to link as many cubes as possible in certain time intervals. Using the collected data, students make a scatterplot to make inferences.

Curriculum Expectations:

• Linear Relations: Apply data-management techniques to investigate relationships between two variables.

• Number Sense and Algebra: Solve problems involving proportional reasoning.

Learning Goal:

• To collect and organize data
• Collecting data is useful for making inferences
• To learn about rates and to use them in decision-making