The cards are printed with two on each sheet of paper. Cut the cards apart so they are 8.5 inches by 5.5 inches.
The definition of continuity is clearly stated on each task card. The 28 cards are in seven sets of four cards. Each set has a different focus:
• The problems in set 1 have the students using the definition of continuity to describe where the function f is discontinuous.
• The problems in set 2 have the students describe which parts of the definition of continuity fail to be true and, therefore, the described function is disoontinuous.
• The problems in set 3 have the students consider the continuity of function f, explain why they believe f is continuous for all x.
• The problems in set 4 have the students using the definition of continuity to redefine f so it is continuous on the given domain.
• The problems in set 5 have the students using the definition of continuity to explain how they can find a value of d so the function f is continuous.
• The problems in set 6 have the students using the graph of f and the definition of continuity discuss the continuity of the function f for the domain .
• The problems in set 7 have the students using the definition of continuity to discuss the continuity of the function f on the given domain.
There are numerous ways you can differentiate the lesson using the cards.
• The teacher can differentiate the lesson by setting up different stations or assigning students to complete only certain cards.
• The teacher can separate the class into four groups and then give each group one card from each of the sets. Each group can be responsible to make a presentation to the other groups after they have worked together to solve the six problems. Students might even make a poster for their group with the six solutions.
• When you set up stations have students complete anywhere from 1 to 4 of the cards. It is not necessary for each person to complete all four cards.
Functions are presented both analytically and graphically. On most cards students are encouraged to explain their reasoning about the continuity of the function by using the three parts of the definition.
A full set of solutions is included.
You might want to check out the Activity Sheet on Continuity and the Intermediate Value Theorem that also available in my store.
Comments from buyers:
Awesome classroom activity for the students to be up and moving! Loved it.