explore what happens when you change the constant but keep the multiplier the same Journal Prompts and Sample Responses Make notes while working through CLIPS Activity 3.3: Different Constant, Same Multiplier Investigation When the constant in a pattern rule is changed while the multiplier stays the same, the vertical intercept of the line changes. Increasing the constant makes the vertical intercept larger. Decreasing the constant makes the vertical intercept smaller. The steepness of the line remains the same, which means they are all parallel. Discussion Prompts and Sample Responses Activity 3.3 Different Constant Same Multiplier, the equation: In – (Number of Tiles) = (Position Number) x multiplier + constant is used. What part of this equation affects the vertical intercept of a line representing the linear growing pattern? The constant affects the vertical intercept. Previously you the equation to include rate of change and initial value: (Number of Tiles) = (Position Number) x rate of change + initial value. What part of this equation affects the vertical intercept of a line representing the linear growing pattern? The initial value affects the vertical intercept. Check Your Understanding Students will: review what effect changing the initial value or the rate of change has on the graph of a linear growing pattern check their answers with the solutions provided Consolidation Task 4: Students will: review the multiplier, constant, rate of change, vertical intercept and their effect on the linear growing pattern Provide manipulatives (e.g., colour tiles or linking cubes) so that students can build their own linear growing pattern. Students can take a photo of their pattern and use it to determine the equation of their line. [e.g., (#tiles) = (position #) x rate of change + constant)] CLIPS Activity 3.5 has additional assessment opportunities for students to show what they know. Journal Prompts and Sample Responses Make notes while working through CLIPS Activity 3.4: Check Your Understanding
explore what happens when you change the constant but keep the multiplier the same Journal Prompts and Sample Responses Make notes while working through CLIPS Activity 3.3: Different Constant, Same Multiplier Investigation When the constant in a pattern rule is changed while the multiplier stays the same, the vertical intercept of the line changes. Increasing the constant makes the vertical intercept larger. Decreasing the constant makes the vertical intercept smaller. The steepness of the line remains the same, which means they are all parallel. Discussion Prompts and Sample Responses In Activity 3.3 Different Constant – Same Multiplier, the equation: (Number of Tiles) = (Position Number) x multiplier + constant is used. What part of this equation affects the vertical intercept of a line representing the linear growing pattern? The constant affects the vertical intercept. Previously you the equation to include rate of change and initial value: (Number of Tiles) = (Position Number) x rate of change + initial value. What part of this equation affects the vertical intercept of a line representing the linear growing pattern? The initial value affects the vertical intercept. Check Your Understanding Students will: review what effect changing the initial value or the rate of change has on the graph of a linear growing pattern check their answers with the solutions provided Consolidation Task 4: Students will: review the multiplier, constant, rate of change, vertical intercept and their effect on the linear growing pattern Provide manipulatives (e.g., colour tiles or linking cubes) so that students can build their own linear growing pattern. Students can take a photo of their pattern and use it to determine the equation of their line. [e.g., (#tiles) = (position #) x rate of change + constant)] CLIPS Activity 3.5 has additional assessment opportunities for students to show what they know. Journal Prompts and Sample Responses Make notes while working through CLIPS Activity 3.4: Check Your Understanding
U5A3_LinearGrowingPatterns_TeacherNotes_AODA.docx