Please enable JavaScript.
Coggle requires JavaScript to display documents.
Simultaneous Equations (prior knowledge (solving (linear) equations,…
Simultaneous Equations
ways of
solving
algebraically (
elimination
)
substitution (e.g. if one of the
equations
is x = 2y)
addition/subtraction of
equations
may require multiplication of 1 (or both)
equation
(s)
misconception: may not multiply all terms of the equation
misconception: not knowing whether to add/subtract
misconception: thinking we always have to eliminate x / always have to eliminate y
graphically (find intersects)
using Autograph
worded questions
deriving simultaneous equations
interpreting
solutions
prior knowledge
solving
(linear)
equations
substitution
plotting (linear) graphs
manipulating
equations by multiplying
dealing with negatives
development of understanding
first look at e.g. 5a + b = 33 (infinite solutions)
what if 5a + b = 33 AND a = 2b? (one solution)
resources
NRICH
what's it worth?
warmsnug double glazing (links to area/perimeter)