Simultaneous equations and graphs Simple Equations WARNING it
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Simultaneous equations and graphs
Simple Equations WARNING it is assumed you can do all this ! learning objectives: • set up simple equations • rearrange simple equations • solve linear equations, with integer coefficients, in which the unknown appears on either side or on both sides of the equation • solve linear equations which contain brackets, including those that have negative signs occurring anywhere in the equation, and those with a negative solution • solve linear equations in one unknown, with integer or fractional coefficients Reference Material Text: Chapter 10 Ticks: MEP:
Solving Simultaneous equations graphically learning objectives: • set up and solve simultaneous equations in two unknowns (new 2012) • interpret a pair of simultaneous equations as a pair of straight lines and their solution as the point of intersection on a graph • set up and solve a pair of simultaneous equations in two variables • find approximate solutions to simultaneous equations formed from one linear function and one quadratic function using a graphical approach • select and apply graphical techniques to solve simultaneous equations where one is linear and one is quadratic Reference Material Text: Chapter 7 page 76 section 7. 1, 7. 2, 7. 3, 7. 11, 7. 12 10 Ticks: MEP:
Solving simultaneous equations algebraically learning objectives: • • • set up and solve simultaneous equations in two unknowns (new 2012) find the exact solutions of two simultaneous equations in two unknowns be able to use elimination or substitution to solve simultaneous equations solve exactly, by elimination of and unknown, two simultaneous equations in two unknowns, one of which is linear in each unknown, and the other is linear in one unknown and quadratic in the other, or where the second equation is of the form x² = y² = r² select and apply algebraic techniques to solve simultaneous equations where one is linear and one is quadratic Reference Material Text: Chapter 16 section 16. 4 page 247, 16. 5 page 252, Chapter 17 page 262 10 Ticks: MEP:
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