## Learning Activity-Foundations of functions

August 31st, 2008 . by VanajaI have made some learning activities for my students who learn the basics of functions. Here I share those activities with you.

**Curriculum Standards: **The student describes independent and dependent quantities in functional relationships.

**Performance Objectives: **The student identifies independent and dependent quantities in functional relationships.

**Activity**

**Group Size: **2-3

**Material: **Index cards

**Instructions:**

Copy the following on the index cards. Shuffle the cards. Distribute 9 cards for each student. Place the remaining cards face down on the pile. Each student should make three sets of cards in which each set contain three cards, one a functional relationship and other two its dependent and independent variable. The players can take one card at a time from the pile. If the card matches with any other card with you, you can take it and leave a card you least want. The player who makes the three sets first, will be the winner.

Area of the circle A=pir^{2}

Perimeter of sphere p= 4a

Volume of a sphere V=4/3pir^{3}

The rent of taxi increases with distance traveled

Time taken for doing a job decreases with number of workers

The speed of a chemical reaction s= 1.5 t^{2} where t is the time

The weight of students increases with height of the students

Area A dependent variable

Area A independent variable

Radius of the circle is the dependent variable

Radius of the circle is the independent variable

Perimeter P is the dependent variable

Perimeter P is the independent variable

Side a is the dependent variable

Side a is the independent variable

Volume of the sphere V is the dependent variable

Volume of the sphere V is the independent variable

Radius of the sphere is the dependent variable

Radius of the sphere is the independent variable

The rent of the taxi is the dependent variable

The rent of the taxi is the independent variable

Distance traveled is the dependent variable

Distance traveled is the independent variable

Time taken for doing a job is the dependent variable

Time taken for doing a job is the independent variable

Number of workers is the dependent variable

Number of workers is the independent variable

The speed of a chemical reaction s is the dependent variable

The speed of a chemical reaction s is the independent variable

The time t is the dependent variable

The time t is the independent variable

The weight of students is the dependent variable

The weight of students is the independent variable

Height of the students is the dependent variable

Height of the students is the independent variable