Mathematics 10 Systems of Linear Equations
Specific Curriculum Outcomes
RF10 Students will be expected to solve problems that involve systems of linear equations in two variables, graphically and algebraically.
RF10 Students will be expected to solve problems that involve systems of linear equations in two variables, graphically and algebraically.
RF10 Activities


 Piling Up Systems of Linear Equations from Kyle Pearce  Kyle uses a scale to weight a number of different items so that students can figure out how much each item weighs. For example, The weight of 4 bottles of glue and 5 glue sticks is 679 grams. The weight of 3 bottles of glue and 12 glue sticks is 680 grams. Knowing this, students can figure out how much each item weighs.

 Stacking Cups from Andrew Stadel  Stacking two different sized cups of different heights. Where will they be the same height?
 Evaluating Energy Efficiency Claims from Geoff Krall  A 20 Watt CFL light bulb package states that you will have $44 in energy savings by using this light bulb compared to a 75 Watt incandescent light bulb. Is that $44 claim reasonable or bogus when you compare it against a bulb that uses 75 watts? How much does a kilowatthour cost in your town? And what exactly is a kilowatthour? What would happen if you switched every incandescent bulb in your house/school/neighborhood to an energy efficient bulb?
 Knot Again! from Jon Orr  When we tie a knot in a rope we use up a bit of that rope. Tie a few knots in the rope and measure the rope each time. How much shorter is the rope each time you tie a knot? Take a new rope of a different thicknesses and ask students to guess too low, too high and best guess for how much rope would get used up if we tied a knot. Use this data to predict the length of the rope with 10 knots tied in it. Ask students to model this relationship symbolically and graphically. Take two ropes of different thickness and length (the thinner rope being shorter) and guess how many knots to make them the same length. Model this with a system of linear equations.
 Detention Buy Out from Kyle Pearce  Students will watch a video called The Detention BuyOut. In the video, three administrators from Tecumseh Vista Academy K12 School are interviewed and propose individual options for students to avoid serving detentions by paying the administrators according to their buyout offers.



 Systems of Equations  One Solution from Open Middle  Using the integers from 9 to 9 only one time each, create a system of threeequations such that the solution is (1,1). You could use the same format to ask for 0 solutions, 2 solutions, 3 solutions, or as many solutions as possible.