We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the equation of a straight line. (Grade C) Always.

Presentation on theme: "We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the equation of a straight line. (Grade C) Always."— Presentation transcript:

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the equation of a straight line. (Grade C) Always aim high! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links? www.mistrymaths.co.uk

BRAIN IN GEAR Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills Work out the following Mathematical anagrams: TASK EXTENSION Develop your own Mathematical anagrams as above as a creative thinker. ARIDTENG NITTPEERC NOIRIG EXAMPLE DITDIONA can be rearranged to make ADDITION Gradient Intercept Origin

STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills EXTENSION TASK 1) Write down the equations for the lines below : 1) Work out the gradient for the lines below : Gradient = 1 6 6 5 5 3 6 6 3 Gradient = -1 Gradient = Gradient = -2

2 Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EQUATION OF A LINE EXAMPLES 1) 2) Find the equation for each of the lines below: GRADIENT = 8 4 2 EQUATION OF A LINE Gradient (slope) y – intercept (where the line cuts the y-axis) 4 8 y - intercept = 3 12 6 GRADIENT = 6 12 GRADIENT = 1 y - intercept =1

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EQUATION OF A LINE EXAMPLES 3) 4) Find the equation for each of the lines below: 6 3 2 EQUATION OF A LINE Gradient (slope) y – intercept (where the line cuts the y-axis) 3 9 The line slopes down from left to right, so its a negative gradient. GRADIENT = -9 3 GRADIENT =-3 y - intercept = -3 10 8 The line slopes down from left to right, so its a negative gradient. 5 GRADIENT = -8 10 GRADIENT = -4 y - intercept = 3

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EXAMPLES 2 1) 2) Find the gradient for each of the lines below: 3) 4) 2 1 GRADIENT = 1 2 2 6 The line slopes down from left to right, so its a negative gradient. GRADIENT = -6 2 GRADIENT = -3 6 There is no x-change so the value of this is zero. GRADIENT = 6 0 Undefined 8 There is no y-change so the value of this is zero. GRADIENT = 0 8 0 No slope EQUATION OF A LINE

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? TASK (GRADE C) 1) Find the equation of the lines below: EQUATION OF A LINE (a) (b) (c) (d) (e) (f) y = 3x + 5 y = 0.2x - 5 y = x + 3 y = -2x - 3 y = -3x -5 y = -0.25x + 1

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EXTENSION EQUATION OF A LINE 1) What is the equation of a line through the point (1,3) that has a slope of -2? 2) Write the equation of a line that is parallel to y = 2x + 3 and passes through the points (6,2). 3) Write the equation of a line that is perpendicular to y = ½x – 6 that passes through the point (6,4) 4) Write the equation of the perpendicular bisector that goes through the line segment with end points of A (2,1) and B (6, -3) ? y = 3x + 2 y = 2x - 10 y = -2x + 16 y = x - 5

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY Find the equation of a line for each of the following CAB companies. EQUATION OF A LINE Compare and discuss your answers. What do they mean? 4 8 GRADIENT = 8 4 2 y - intercept = 2 12 6 2 GRADIENT = 6 12 GRADIENT = 1 y - intercept = 0

DISCOVERY Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills LINK BACK TO OBJECTIVES - Accurately find the equation of a straight line. What grade are we working at?

4 PLENARY ACTIVITY ASSESSING UNDERSTANDING QUESTION What is an equation for the line that passes through the coordinates (4,5) and (8, 3)? 1 2345678 1 2 3 5 4 2 2 GRADIENT = -2 4 GRADIENT = 6 7 The line slopes down from left to right, so its a negative gradient. y - intercept = 7

Draw your brain What have you learnt? In your brain, write or draw everything you can remember about finding the equation of a straight line. It can be a skill or a reflection, or something else that might be prominent in your brain. What grade are we working at? Where are we in our journey?

. How well do you understand the task? I dont understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity www.mistrymaths.co.uk

SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? www.mistrymaths.co.uk

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