# Teaching system of linear equations

### Fun linear equation activities

One of my go to games is Knockout. She asked in a rather flippant way as if nothing we ever learn in math will matter in her life. They have to evaluate if the solution is true or not. When students have discovered the point where two students are intersecting they will have a student write that point on the board and have other students plug the point into the equation to verify that it is a solution to the equations. Techniques Race Once the students have learned the concept of each technique, challenge the students to see which technique works most effectively for them. This pennant is a fun way for students to practice! Students work together in groups to solve systems of equations using graphing. The uses for them are endless. Sticky-Note Substitution To teach the basics of the substitution technique, write two questions on the board with the "y" in each equation on a colored sticky note. Then, ask the students to write two equations, one that shows the sum of x and y, and one that shows the difference of x and y.

I walk around while they are trying the problem so I can correct errors along the way. This set of task cards is perfect for warmups or playing speed dating.

## Systems activity

Please see Systems Summative Assessment assignment attached to this lesson. My favorite feature of this game has to be that all students answer all questions. Word problems can be so difficult, so I absolutely use this activity to help students master them! The problem is not impossible, but the students have to dig deep to use what they know to figure it out. Just try one new thing and see how your students react to it. This can be copied for students use at their desk or projected. Whole Class Review Game I like to review for unit tests by playing whole class review games. You can read more about the target game here. Teacher will assist students creating the linear equation by showing students where to stand starting with the y-intercept and creating more points on the grid using the slope. In this systems of equations coloring activity the actual coloring students do is minimal. The students at the front write and solve the system at the front board while the students at their seat write and solve the system on a piece of paper at their desks.

Techniques Race Once the students have learned the concept of each technique, challenge the students to see which technique works most effectively for them.

Activity: Teacher will put students in groups. Teacher will then repeat this process with other systems of equations altering the groups that will be demonstrating. This set of problems will give them a fair amount of repetitions.

## Systems of equations elimination activity

This set of problems will give them a fair amount of repetitions. What does the graph of a system of two linear equations look like when they have an infinite number of solutions? The uses for them are endless. What does the graph of a system of two linear equations look like when they have a unique one solution? Summative Assessment: After activity teacher will give students linear equations to graph on graph paper and determine the point of intersection. Independent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the lesson? I have students complete two problems each. You can, however, effectively teach each of these techniques in creative ways that help your students learn, while having fun at the same time. The power point attached has several systems for students to graph. If needed teacher will assist. So many uses!

I feel like we practice this skill all year long and every time we do it clicks more and more with them. Another alternative would be to have a different group create a table of values for each equation to assist with graphing.

We then start to play the pick a card game. Good luck out there and remember to have fun teaching math.

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