This set of forty task cards is made up of ten sets of four cards. Each set emphasizes
a different type of problem:
• Set 1: Missing Hypotenuse
• Set 2: Missing Legs
• Set 3: Double Right Triangles
• Set 4: Converse of the Pythagorean Theorem
• Set 5: 3-4-5 Right Triangles
• Set 6: ; 5-12-13 Right Triangles
• Set 7: 7-24-25 Right Triangles
• Set 8: 8-15-17 Right Triangles
• Set 9: 30-60 Right Triangles
• Set 10: 45-45 Right Triangles
There are many ways the 40 task cards can be used in your classroom.
Each student should receive a recording sheet where they will record the task card number and their solution to the problem on that card.
• You can set up ten stations for students to visit. At each station students would find the four cards with questions on a particular concept. The teacher could decide how many of the four cards each student must complete.
• Give the students a limited amount of time to work at each station. Collect student recording sheets and assign grades based on how many questions a student answer correctly.
• Pair students to work together as partners to complete some of the task cards. Give one recording sheet to each pair of students. Each person takes turn writing the solutions to the problems.
• Form four groups of students in your class. Give each group one card from each set. Each group must prepare a presentation of the solutions for the ten cards to the other groups.
A complete set of solutions is included.
All answers are either exact answers, irrational numbers, or rounded to three decimal places.