Graphing Counting Methods- Open Middle Problem

Looking at the following question from Dan Meyer:

Write down how you determined how many dots there are.

How can you put that thinking into a graphical form?

Representing Data- Open Middle Problem

Directions: Using the counting numbers 1 to 6, each only once, fill in the graph and blanks to make the statements true.

There are twice as many girls as boys.

There are twice as many boys as teachers.

There are ___ girls, ___ boys and ___ teachers in class.

Write two other statements that the data displays.

Write your statements in an equation.

How would your response change if you could use the counting numbers 1 to 9?

Double Bar Graph- Open Middle Problem

Directions: Using the numbers 1-8 at most once each time, create a graph that represents the number of boys and girls participating in soccer, football, baseball and basketball.

1. Half as many boys play soccer than girls
2. The amount of boys in soccer is double the amount girls in football
3. Three times as many boys play baseball than girls in football
4. The total number of boys and girls in soccer equals the total number in basketball

There are ___ girls and ___ boys in soccer.

There are ___ girls and ___ boys in football.

There are ___ girls and ___ boys in baseball.

There are ___ girls and ___ boys in basketball.

Ordering Shapes- Open Middle Problem

Directions:

Draw three shapes and order them from smallest to biggest.

Draw three more shapes and order them from biggest to smallest.

Look at your six shapes and order all of them from biggest to smallest.