# solving systems of equations by substitution fun activity

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