Directions: Using any number between 1 and 6, fill in the boxes to create a true statement. You may only use a number once.

# Open Middle

# Complementary and Supplementary Angles- Open Middle Problem

Directions: Using the digits 0-9, no more than once each, fill in the boxes to make the statement true:

How would this problem change if it instead read:

# Parallel and Perpendicular Lines- Open Middle Problem

Directions: Using the numbers 0 to 9, at most once each time, fill in blanks to create a set of 4 points that create either Parallel or Perpendicular lines, depending on how you connect them.

( ___, ___ ) ( ___, ___ ) ( ___, ___ ) ( ___, ___ )

# Analyzing Shapes- Open Middle Problem

Directions: Using the diagram, fill in the blanks with the names of the shapes to make each statement true.

__________ has more sides than __________

__________ has the same sides as __________

__________ has more vertices than __________

Note: you can choose to have students reuse shapes or use them only once.

# Identifying Shapes- Open Middle Problem

Directions: Using the numbers 1 to 6, at most once each time, fill in boxes and identify a shape in the blank to make the following statements true.

# Describing Shapes- Open Middle Problem

Directions: Using the following picture, complete the following sentences (using the phrases: *a**bove*, *below*, *beside*, *in front of*, *behind*, and *next to)*

The cube is ___________ the sphere and ___________ the triangle.

The hexagon is __________ the pentagon and __________ the circle.

Use the shape names to complete the following statements:

The ________ is next to the ________ and above the __________.

The ________ is beside the __________, above the ___________, and below the ___________.

# 3D Vectors- Open Middle Problem

Directions: Using the digits 1-9, each only once, fill in the blanks to make the following vector relationship true.

What vectors maximize **a** + **b**?

What vectors minimize **a** + **b**?