# Functions, Relations and graphs

• 23 April 2018
• Posted by: Andrea Woodhouse
• Number of views: 1142
Students’ age range: 12-14
Topic: functions in real life context

Description: • Teacher will outline the objectives to be met on the chalkboard and explain the importance of learning function, relations and graphs.
• Students will be asked to write the objectives set for the specified time period in their note books and after which teacher will explain the objective so that it is clear to students. In this case, students will know their goal and will work assiduously to achieve it by the end of the session.
• Students will be given 10 words to spell.
• A quick review of previous lesson will be done.
• Quadrants will be explained to students using seating positions. Selected students will be asked which positions they hold based on pairs of coordinates.
• students guided by teacher will then clear up any misconceptions observed.
• Students and teacher will explore relations functions and graphs using powerpoint presentation.
• Students will complete tables to find the corresponding values in a relation or function using worksheet.
• Students will explore a few examples.
• Students will be selected randomly to go to the board to solve similar problems set by the teacher.
• More experiments will be done.
• In groups, students will set up a germination experiment of a seedling. Then determine the function/relationship of the age and height of the seedling over a period of time, (i.e. containers, peas, water, newspaper/cotton/tissue paper). After 3 or 4 days of germinating, observe then measure the height of the seedling (i.e. young plant) with a ruler for at least one school week (5 days). Record the height of the plant in tabular form i.e.
DAY HEIGHT (cm)
1 3cm
2 6cm
3 9cm
4 12cm
5 15cm

• With teacher’s guidance, discuss observations made after 5 days. Predict the height of the seedling after 6 days, 9 days, 14 days etc. Draw conclusion that there is a relationship between the height and age (i.e. number of days) of the seedling as it germinates.

• As a whole class, note that the seedling grows 3 cm every day, so the height of the seedling is related to its age:
height(age) = (3 x age) cm So, if the age is 10 days, the height is:
• h(10) = (3 x 10) cm = 30 cm

• In pairs, complete the table below. Share and compare results with other pairs and then as a whole class.
age h(age) = (age × 3)cm
0 0
1 3
3.2 9.6
5 15
7
36
15.5
• In groups, with teacher’s guidance, present the data above on a bar graph using the geogebra software. Share and compare results with other groups and then discuss any patterns formed based on the data shown.

Experiments will be done at home as well as at school. Recordings will be done by each student and comparisons will be made.

• Students will be given oral questions thrown out by the teacher to calculate. The top 3-5 students will be awarded with stickers. This will promote listening skills, speed and accuracy. Students will be motivated to learn the concepts in order to be apart of drill and practice session. students will document the process using any form of technology.