Page 120 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

o simple equations of degree 2; for example, A = πr2, given A
o simple equations of degree 3; for example, V = s3, given V
o equations with multiple variables that require given numerical values to be substituted; for
example, solve for r in I = Prt, given I = 25, P = 500, t = 2 o equations involving proportions; for example, h = 25
• verify solutions by:
o using substitution and mental math o using a left-side/right-side check
o using a number line
o using coding
o using a graph
Instructional Tips
Teachers can:
• pose problems, and support students in posing problems, using words, numbers, and visual representations;
• introduce strategies for solving equations in context as they arise throughout the course (e.g., introduce strategies for solving a proportion when a problem involves proportions);
• provide students with digital tools and concrete materials that they can use to solve and verify equations;
• support students in using various methods and models for solving equations, such as estimation, trial and error, concrete models, a balance model, a graph, inverse operations, ratio tables, or a double open number line;
• provide opportunities for students to share strategies and listen to, make connections to, and reflect on their peers’ strategies;
• share strategies for creating equivalent equations to simplify solving equations with fractions (e.g., 1x – 6 = 10 can be rewritten as x – 12 = 20 by multiplying the equation by 2);
2
• facilitate a discussion about what degree of accuracy is necessary when solving equations, given various contexts, and which methods allow for a greater degree of accuracy;
• encourage students to reflect on the reasonableness of their answers and to choose a strategy to verify their solutions.
Teacher Prompts
• Identify the variables in this situation, and describe the relationship between them. What equation could you use to represent this relationship?
• What does the equal sign mean in the equation? What does it mean to solve an equation?
• What does your solution to the equation mean in this context?
119
3 12