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Linear proportional relationship Linear non-proportional relationship

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Presentation on theme: "Linear proportional relationship Linear non-proportional relationship"β€” Presentation transcript:

1 Linear proportional relationship Linear non-proportional relationship
Linear Functions is about… Strategic Instruction Model (SIMβ„’) University of Kansas Center for Research on Learning (KUCRL.org) a relationship with a constant rate of change represented by a graph that forms a straight line Linear proportional relationship Linear non-proportional relationship 1. Linear: Makes a straight line 1. Linear: Makes a straight line 2. Formula Constant slope represented as m = π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› or m = π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ 𝑦 π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ π‘₯ or m = (𝑦2 βˆ’π‘¦1) (π‘₯2 βˆ’π‘₯1) 2. Formula Constant slope represented as m = π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› or m = π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ 𝑦 π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ π‘₯ or m = (𝑦2 βˆ’π‘¦1) (π‘₯2 βˆ’π‘₯1) 3. Equation Represented byΒ yΒ =Β kxΒ orΒ yΒ =Β mxΒ +Β b, whereΒ bΒ = 0 ForΒ yΒ =Β kxΒ andΒ yΒ =Β mxΒ +Β b,Β kΒ = the slope,Β m 3. Equation Represented byΒ yΒ =Β mxΒ +Β b, whereΒ bΒ β‰  0 4. y-intercept Passes through the origin (0,0) meaning theΒ  y-intercept,Β b, is 0 Does not pass through the origin (0,0) meaning theΒ y-intercept,Β b, is not 0 4. y-intercept Does not pass through the origin (0,0) meaning theΒ y-intercept,Β b, is not 0

2 1. Linear: Makes a straight line 1. Linear: Makes a straight line
Linear Functions is about… Strategic Instruction Model (SIMβ„’) University of Kansas Center for Research on Learning (KUCRL.org) a relationship with a constant rate of change represented by a graph that forms a straight line Direct Variation NOT a Direct Variation 1. Linear: Makes a straight line 1. Linear: Makes a straight line 2. Formula Constant slope represented as m = π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› or m = π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ 𝑦 π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ π‘₯ or m = (𝑦2 βˆ’π‘¦1) (π‘₯2 βˆ’π‘₯1) 2. Formula Constant slope represented as m = π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› or m = π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ 𝑦 π‘β„Žπ‘Žπ‘›π‘”π‘’ π‘œπ‘“ π‘₯ or m = (𝑦2 βˆ’π‘¦1) (π‘₯2 βˆ’π‘₯1) 3. Equation Represented byΒ yΒ =Β kxΒ orΒ yΒ =Β mxΒ +Β b, whereΒ bΒ = 0 ForΒ yΒ =Β kxΒ andΒ yΒ =Β mxΒ +Β b,Β kΒ = the slope,Β m 3. Equation Represented byΒ yΒ =Β mxΒ +Β b, whereΒ bΒ β‰  0 4. y-intercept Passes through the origin (0,0) meaning theΒ  y-intercept,Β b, is 0 Does not pass through the origin (0,0) meaning theΒ y-intercept,Β b, is not 0 4. y-intercept Does not pass through the origin (0,0) meaning theΒ y-intercept,Β b, is not 0

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