Page 143 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

Teacher supports
Examples
• characteristics: o of graphs:
▪ shape
▪ direction or orientation
▪ intercepts
▪ rate of change (constant or not constant) ▪ symmetry
o of tables of values: ▪ initial value
▪ rate of change (constant or not constant) ▪ symmetry
▪ patterns or repetition
o of equations:
▪ degree
▪ leading coefficient when terms are in descending order of powers
▪ type of equation (e.g., y = x2 (quadratic), y = 2x (exponential), y = 2x (linear), y =
1 (reciprocal)) 2x
▪ rate of change (constant or not constant)
▪ initial value
Instructional Tips
Teachers can:
• encourage students to develop and expand their vocabulary for describing, explaining, and making connections among the characteristics of graphs, tables of values, and equations;
• facilitate discussions to highlight comparisons and connections between different representations of the same relation as well as between the same representation of different relations;
• support students in recognizing how and why calculating first differences in tables of values can be helpful for determining rates of change and identifying linear and non-linear relations;
• provide opportunities for students to use coding or digital tools to create graphs.
Teacher Prompts
• How can you determine whether a relation is linear or non-linear by examining the graph? By examining the table of values? By examining the equation?
• Which of these graphs have a line of symmetry? 142