# solving systems of equations by substitution fun activity

Students need to learn and practice three main techniques for solving systems of linear equations: graphing, addition and substitution. Steps to Solving Systems of Equations by Substitution Step 1: . In this equation instructional activity, students solve systems of equations using the substitution method. Make sense of problems and persevere in solving them. This leads to...Solving systems of linear inequalities. Algebra worksheets to improve student performance through fun riddles, activities and games. This one-page instructional activity contains nine problems. What I … Systems of equations with substitution: y=4x-17.5 & y+2x=6.5 Our mission is to provide a free, world-class education to anyone, anywhere. This warm-up is meant to clarify the meaning of "solving an equation in terms of x" or "solving an equation in terms of y." I use the Exit Slip as a formative assessment to check for student understanding after working with solving a system of equations by Substitution for two lessons. Systems of Equations Coloring Activity With this coloring activity, students will practice using the substitution or elimination method to solve a system of equations. If I judge that some students work slower than the other groups, I will check each group individually. Instead of getting an estimate for the solution by graphing, use substitution as an algebraic model to find the exact solution. I instruct the students in each group that the white board is passed in order from student to student until the problem is solved. This riddle gives students a chance to graph systems of equations and find the solution. As I mentioned, this is similar to the silly Christmas riddles that I shared yesterday. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. Systems of Equations Game - a fun and interactive way to practice your math skills! Have fun solving equations! Practice- solve for a variable in terms of another variable.pdf, Cooperative Activity-Substitution Steps.pdf, Key to the Problems for the Cooperative Activity.pdf, Exit Slip-Alternate Method to solve a System of Equations Retake.pdf, Exit Slip-Alternate Method to solve a System of Equations.pdf, Graphing Systems of Linear Inequalities (Day 1 of 2). All Rights Reserved. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Substitute the resulting expression into the other equation to replace the variable. Wellness Evidence. Solving Systems of Equations. Solving Systems of Equations by Substitution is a method to solve a system of two linear equations.Solving Systems of Equations by Substitution follows a specific process in order to simplify the solutions.The first thing you must do when Solving Systems of Equations by Substitution is to solve one equation for either variable. Khan Academy is a 501(c)(3) nonprofit organization. Groups that do not complete all six problems in the cooperative activity, continue to work until the end of the period with the teacher facilitating the remaining groups. we hit Day 2:  Substitution. Students catch on right away and think, “this unit is going to be easy!” Then…. Solving by substitution. These are the steps I have my students follow: I always teach it right after the linear equations unit, and it’s the perfect transition from graphing one line, to graphing two. A system of equations is a set of 2 or more equations. I also inform students that the method is easier to use when at least one of the equations has a variable with a coefficient of 1 or -1. This skill is difficult for students, and one difficulty is understanding the meaning of the instruction, "solve for.". Sometimes students just need something fun to remember a certain method. Math Worksheets Examples, videos, worksheets, solutions, and activities to help Algebra 1 students learn how to solve systems of linear equations by substitution. When completed, the puzzle is designed to be 4x4 square. That tells us that x minus y must be equal to 11. Do not start the board over with student 1. Students review the steps of solving a system of equations by substitution by alternating steps as they solve problems in pairs or groups. This will allow for students to work together as well by themselves on an activity that is exciting. We have a system of two equations. Students catch on right away and think, “this unit is going to be easy!”, Then…. I use the Guided Notes to review the vocabulary and procedures used to solve a system of equations by substitution. I always teach it right after the linear equations unit, and it’s the perfect transition from graphing one line, to graphing two. The riddle just adds a little fun. Solving by elimination. This lesson covers solving systems of equations by substitution. I used the same step by step list with one example format as the previous day. The next student works another step and passes it to the other student or partner and states the step performed and why. It means the 2 lines are going to intersect at one point, which should be reinforced when graphing the system in problem 2. I would introduce systems of equations with simple and fun puzzle challenges to ease kids in.. System of Equations Activity: Zero is a solution for x, and y must be found, it does not represent no solution. One look at it and I hear the “oh yeah!”‘s and they are off to work. Solve by Substitution 2: Quotes: ... Activities: Students solve system word problems by choosing best method. Solving by graphing. The Solving Systems of Equations using the Substitution Method Puzzle Activity contains a 16 piece puzzle. Especially if they have struggled to solve a single equation! The problems that I provide in the cooperative group activity are the 6 problems that are in the guided notes. They would also be fun warmups or as emergency sub plans during this unit. But this time, kids must solve each system in order to determine the answer to the Christmas riddle. I have the Key in hand to check solutions quickly, and the problems to allow students to move to the next problem. After switching over to “the blob”, it really resonated with them and they saw how easy and quick it can be. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. The objective of this lesson is for students to review how to solve a system of equations by substitution from the previous day's lesson. Full color and black and Step 4: . When using the distributive property, the number needs to multiply times both terms. After a group completes a problem, I provide them with the next problem to work. They will create a system of linear equations and they must be able to solve the systems of linear equations by the three methods: graphing, substitution, and elimination. Each group sits together at a table. BetterLesson reimagines professional learning by personalizing support for educators to support student-centered learning. Enter your equations in the boxes above, and press Calculate! Step 2: . Systems of Equations Activities by Jill 2013 !0"0# Color by Number Systems of Equations Name _____ Solve each system of equations and show all work clearly in the space provided. At this point, I provide questioning to move the group forward. Solving by Substitution 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. This BINGO activity gives you a fun activity that gets your students practicing solving systems of equations by substitution, though it can be easily modified for any method of solving systems of equations! In the first part of the guided notes, students recognize when to use substitution, and practice identifying the variable with a coefficient of 1 or -1 in front of it. I hear “Why does this seem so hard?”, and  “I remember solving equations in the fall, but not like this!”, and “Can’t we just solve it by graphing?”  This seemed to be a struggle every year. Students love this game and they really get … we hit Day 2: Substitution… Step 2 - Distribute copies of Steps to Solve a System of Equations by Substitution handout. If they get an equation like x + y = 7, I tell them they can choose to solve for x or y, it won’t matter. Students must persevere(Math Practice 1), and continue until a solution is found. Solve by Substitution 1: Sudoku: Integer equations. So there we have it. It’s offered as both an image file (PNG) and Smart Notebook file. Substitution means to replace the variable. Then solve the equation. Using the steps outlined on the handout for solving a system of equations by substitution, demonstrate how to solve this system of equations by substitution. This rotation continues until the problem is solved. Individual white boards, eraser, or marker (a piece of paper may be used instead). MARS has two great resources for systems of equations. Systems of Equations Game . system could be solved algebraically. This game is a multi-player game that can be played on computers, Promethean boards, … When passing the board to the next student, the student explains the step performed and why. © 1992-2018 kidCourses.com | All Rights Reserved, Reimaging Celebrations (with a Healthy Spin), Guided Meditation for Learning to Communicate with Kindness, FOCUS, Communication Tips, and Creative Activities for Kids with ADHD, Free program that helps shelter/rescue dogs get adopted. Each puzzle piece contains a series of systems of equations problems that are set up to be solved using the substitution method and th Solve System Of Equations Using Substitution - Displaying top 8 worksheets found for this concept.. When using Substitution, the first step is often: solve one of the equations for one of the variables (in terms of the other). Then color the corresponding area on the coloring page. After I’ve taught all three methods (graphing, substitution, and elimination), we do a slew of activities to review them all. For example, " I solved for x in the second equation because it has a coefficient of 1." During the guided notes, I remind the students that substitution can be used to solve any system of equations. Create equations and inequalities in one variable and use them to solve problems. Need a custom math course? That means the larger number minus the smaller number must be 11. You can play this basketball game alone, against another player, or against the computer. The subject of systems of linear equations is very intimidating to most students. When assessing the exit slips, I will be looking for student comprehension of the following: If students are still struggling after this lesson, I will provide a Retake of the exit slip along with resource videos on solving a system of equations by Substitution. It doesn’t have to be scary though. Examples and explanations are provided prior to the exercises. The next day, we solved systems of equations by substitution. I also throw this up on the board at the end of the year when we are reviewing for the state test. The systems problems include some equations that … The complete solutions are given, along with 30 unique game boards! Visit https://www.MathHelp.com. Solving Systems of Equations Activity Pages: This freebie is super simple, but provides fun practice of this important skill. Students can solve the problems by any method: graphing, elimination, or substitution. Even though 2x + 3 does not look like y in the first equation, the expressions are equivalent. I discuss reasoning with the students for each of these steps as I work through the guided notes with them. This one worked well and I liked the way I highlighted what we were substituting into each equation. I form the cooperative groups for this segment of the lesson by counting students off by three's. Systems of Equations Activity (Substitution, elimination, or graphing) Students will be solving 10 problems involving systems of equations in order to determine the location and time of the bank robbers. It helps students visualize solving algebraically and starts in their comfort zone. We can now solve it using the substitution method. Something that always makes them giggle . These students will complete the exit slip as homework. Or click the example. I love teaching systems of equations, like seriously LOVE it! 1. solve systems of linear equations in two variables by substitution and elimination methods; 2. solve problems involving systems of linear equations in two variables by graphing, substitution and elimination; and 3. determine the most efficient method in solving system of linear equations in two variables. Example (Click to view) x+y=7; x+2y=11 Try it now. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions… Solve one equation for one of the variables. Each student works one step of the problem and passes it to the next student. This game can also be used in the classroom as a review activity. I plan this Practice warm-up as a follow up from the previous day's lesson to have students successfully use the Substitution Method to solve a system of equations during this lesson. © 2020 BetterLesson. I now teach systems in the following order. 1) y = 6x − 11 −2x − 3y = −7 2) 2x − 3y = −1 y = x − 1 3) y = −3x + 5 5x − 4y = −3 4) −3x − 3y = 3 y = −5x − 17 5) y = −2 4x − 3y = 18 6) y = 5x − 7 Step 3: . I love teaching systems of equations, like seriously LOVE it! Students complete 12 problems and for each answer they add a letter to the answer of the riddle. The first bridges students from linear equations to systems of linear equations (Solving Linear Equations in Two Variables) and the second is a card sort activity focusing on what it means to solve a system (Classifying Solutions to Systems of Equations). This ordered pair will be the solution to the system. In this game, try to use substitution to solve these system of equations problems. 1 - Emoji Logic Puzzles - These logic puzzles are a fun way to get students solving systems without even realizing it! Students may also raise their hand for assistance if the group comes to a standstill, and no members of the group knows the next step. That ended the year I introduced it as “the blob” method. I plan this Practice warm-up as a follow up from the previous day's lesson to have students successfully use the Substitution Method to solve a system of equations during this lesson. When using Substitution, the first step is often: solve one of the equations for one of the variables (in terms of the other). The next problem will begin where the group left off. Self-Awareness Training: An Interview With Psychologist Tasha Eurich, Check out the latest studies on sleep health - for adults & kids. HSA-REI.C.5. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. This way of teaching substitution works like a charm! You can play this game alone, with a friend, or in two teams. When students complete the 6 problems, each student is to complete the exit slip. If they get two equations both solved for y (like y = x + 1 and y = 2x – 7), then they can just choose one to be “the blob”. In the second part of the guided notes, I provide an example to work through the steps, and verbally state the reasoning aloud as I work the problem. We have two equations and two unknowns. Solving by multiplication and elimination. How to solve systems of equations algebraically with the substitution method? I always leave the following poster up on my board as a reminder of the different methods so students have a reference. See my blog post for more details. Look for and express regularity in repeated reasoning. Solving Systems of Equations by Substitution Date_____ Period____ Solve each system by substitution. 2 - Solving Systems of Equations by Graphing Pennant - Solving systems by graphing is the best place to start the unit. of equations, such as Solving Systems of Linear Equations Substitutions. The substitution method is best used if one of the variables has a coefficient of one. After the groups are seated, I provide each group with an individual white board, eraser, and marker. I demonstrate the steps for substitution and the reasoning in the video below. SWBAT solve a system of equations by substitution. Substitute to solve for the other variable. Once solved, students match their answers at the bottom and color the flip-flops accordingly. You can download this poster for free here! Ask the students to review the steps on the handout. Copy of guided notes to complete and place in note book. Teacher Note Be sure to classify each system as consistent or inconsistent and dependent or independent. 4 ALL HUMANS …, How Self-Aware are **You**? Solving Systems using Oreo Cookies. Instructional Activities Step 1 – Discuss the methods they have learned for solving systems of equations (graphing and substitution). This systems of equations knockout game has a variety of question types including asking students to change an equation into slope intercept form, and solve using substitution, elimination, and graphing. Their little hearts sink. There are tables in my classroom instead of desk that work well for cooperative learning. Pairs of students may also be used if necessary. Systems of Equations Calculator is a calculator that solves systems of equations step-by-step. No transformations required. Teach dogs this 1 SKILL. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. This warm-up is meant to clarify the meaning of "solving an equation in terms of x" or "solving an equation … Check them out if you’re looking to give your systems unit a boost! So let's solve for x … The systems you study in Algebra 1 generally consist of two linear equations. For each bonus round, you will have 30 seconds to smash and destroy different monsters by … Last but not least, here are some of my favorite activities for to do with my students on systems of equations. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. I noticed that after teaching elimination, students would stop using substitution, even when it was the most efficient method. The graphs of linear equations are straight lines, so the goal is to figure out the point where the two lines cross.