This year, i taught systems of equations right after christmas break. Students really enjoyed it and seemed to understand the concept when i broke it down into the following three categories. Students will be constructing a foldable on systems of equations. I want the top flap labeled system of equations, and the descendingflaps. Solving twostep equations foldable teaching math, math. Glencoemcgrawhill v teaching mathematics with foldables from dinah zike dear teacher, in this book, you will find instructions for making foldables as well as ideas on how to use them. Teaching systems of equations in algebra can be fun. Aug 27, 20 create three interactive notebook pages that would teach somebody about three different topics we studied this year.
Create a sentence frame to accompany the possible number of points of intersection handout. If youd like a pdf document containing the solutions the download tab above contains links to pdfs containing the solutions for the full book, chapter and section. It compares examples of systems with 1 solution x, y, infinite, and no solutions. Linear equations foldable alamanceburlington school. This makes a great interactive notebook foldable but serves as a graphic organizerstudy guide as well. This foldable is divided into the three methods for solving systems of equations through. A system of equations is a math problem that includes more than one equation that. Notes on solving systems of linear equations 1 from linear.
Solve systems of linear equations exactly and approximately e. If the foldable will be used in a composition size interactive notebook, then the printing will need to be scaled to 8590% to ensure that it will fit on the. The foldable should be printed as a double sided document. Solving systems of equations word problems worksheet for all. After that, we started algebraic properties of equality and introduced algebra proofs. You will be graded on your use of color, inclusion of an example problem, inclusion of a foldable or graphic organizer, creativity, and mathematical accuracy. Solving systems of equations word problems worksheet for all problems, define variables, write the system of equations and solve for all variables. Then a colleague who is talented in creating interactive foldables took the flow chart to a whole new level. We also talked about the three types of solutions they could have and what they looked like. In systems of equations where the coefficient the number in front of the variable of the x or y terms are additive inverses, solve the system by adding the equations. Both a completely filled in foldable and a half filled in foldable so students can include their own examples are included. The only new information in this unit that my algebra 2 students didnt do in their first year algebra course are the type of word problems.
One or both of the equations may need to be multiplied by a number in order to set up a situation in which one of the variables will cancel when the equations are. Linear equations and their graphs put your name in one corner of this layer tabs the following are a list of the names for each of the tabs. Students learn to solve systems of equations by addition. To estimate square roots mentally, it is useful to refer to a list of perfect squares. This year ive committed to posting each unit of both my algebra 1 and algebra 2 inbs. Derivatives derivative applications limits integrals integral applications series ode laplace transform taylormaclaurin series fourier series. This is probably the most used idea in solving systems in various areas of algebra.
I introduce special cases, examples of which are captured in a foldable. I had a step by step list with one example for their notebooks. How to solve a system of equations by elimination video. Our mission is to provide a free, worldclass education to anyone, anywhere. The layer labeled examples is where i use direct instruction to introduce a problem. Ive been giving them a lot of word problems here lately and most of the kids are now able to write the equations for the system, then use elimination to solve.
Solving systems of linear equations foldable by mrs math tpt. Systems is also arguably the hardest unit we have to cover this year because it is one of the most complex with the most steps. Solve the following system of equations by graphing. Here are a set of practice problems for the systems of equations chapter of the algebra notes. Solving systems of equations foldable lesson planet. However, substitution can get ugly if we dont have a lone variable. Remember this will be used for astudy guide, so make things pop, so you will be able to recall these itemslater on. Students were already thinking about these ideas because each colored set graphically, substitution, elimination had one system with each type. Then, we solved systems of equations and inequalities by graphing. Mar 18, 2016 i was looking through my interactive notebook this past week and thought id share one of my favorite lessons.
Solving equations flipbook solving equations, multi step. Linear equations foldable alamanceburlington school system. See more ideas about systems of equations, 8th grade math and teaching math. One each for solving systems by graphing, substitution, and elimination. To begin, watch the following video on how tocreate your foldable. The solving equations foldable asks students about their equation step by step. Level up on the above skills and collect up to 400 mastery points. The foldables includes the steps and an example for each method. Systems of equations and inequalities make this foldable to record information about systems of linear equations and inequalities. I continued following the same format for solving systems of equations by elimination. Systems of equations wheel foldable math in demand.
See more ideas about systems of equations, algebra and 8th grade math. This is a 2 page foldable that details the steps involved in solving 1step equations, 2step equations and multistep equations. Hagans museum of art october 20 9 september 20 4 august 20 14 july 20 5 june 20 10 may 20 16 april 20 6. Let me know, if you would like to see the foldables that i used for algebra proofs.
Do you have a printable version of the writing systems of equations and graphing foldable you have. Changing the order in which the equations are listed produces an equivalent system. Linear equations foldable title page put a title on the top tab. Systems of equations inequalities foldable background you will be required to create a foldable booklet summarizing the techniques of systems of equations and inequalities. Solving systems of equations foldable by lisa davenport tpt. Geometric interpretation the following three linear systems a 8. The solving equations foldable asks students about. Walch education station activities for common core state standards grade 8 mathematics. Nov 24, 2014 find all of our foldable templates below. Accommodated lesson plan on solving systems of equations. Y j qmsaed reh 2wxiqt thx ni1n pfbi 7n liutuey za dl 3g leib mrsac 61 b. Im hoping that our next unit makes students feel more successful. Eighth grade lesson onis equation adventure day 5 betterlesson. Two of the strategies for solving systems of linear equations are represented in this foldable.
We then considered a second method known as substituion. No solutions because the two lines never intersect. Graphing substitution elimination this is a nice way to wrap up the unit. Foldable tabs for solving equations from the flvs algebra 1 eoc practice test equations foldable could use for inequalities too i could do a variation of this for word problem solving steps, add to the math journals. Any x value will give you the same y value for both equations. An equation is a statement that two mathematical expressions are equal. Project details today, you will decide which project you want to do. Create a matching game to match graphs with nonlinear systems of equations. Power point includes animated stepbystep instructions for creating a foldable for solving systems of linear equations using graphing, substitution, and elimination. Because one of the variables is eliminated, this method is called elimination.
Suppose that in a system of equations, we multiply both sides of a single equation by a nonzero number leaving the other equations unchanged. Notes rational approximation notes suppose that we want to estimate the value of 50. The directions are from taks so do all three variables, equations and solve no matter what is asked in the problem. You should have 4 sections when it is folded in half hot dog style should look like the picture below, but different definitions. These interactive notebook activities and notes will help high school students organize their thinking. Manipulate an expression in order to reveal and explain different properties. Systems of equations with interactive notebooks idea galaxy. My district is moving to a standards based curriculum, and has identified priority standards for every course.
Add or subtract the equations to eliminate one variable. Overall, students were refamilarized with solving multistep equations in 2 days. Systems of equations algebra basics math khan academy. It shows them an example of what a next step might look like. For this particular project though you will only need twopieces of paper. Solving equations foldable in stillness the dancing. There are directions on how to solve using each method and there is an example of the same problem solved using all three methods. Write these on the tabs so that you can find the information you need quickly. And then we dive right into a short, 4day unit on systems of equations. Systems foldable we will finish up our current unit on characteristics of functions this week. This method is known as either elimination or addition. Add equations if the coefficients of one variable are opposites b.
For the sort, students collaborate with a partner to simplify or solve a onevariable linear equation in order to determine whether it has one, no, or infinitely many solutions. In addition, the foldable goes over the 3 possible solutions. My algebra 1 students just finished our unit on systems of equations. Id like to include a realworld applications when we solve by graphing.
Solving systems of equations 3 different methods date. On the board put the following systems of equations and ask students to solve using any method. Sep 30, 2012 she created this solving equation foldable. Systems of linear equations foldable teaching resources. Solve for the remaining variable, then substitute that value to solve for the other variable. The foldable goes over the 3 methods in solving systems of equations. You must include a foldable or graphic organizer on each page. Plan your 60minute lesson in math or systems of equations and inequalities with helpful tips from heather sparks. To solve a system of equations by addition, the goal is to cancel one of the variables by adding the equations together. Any system of linear equations has one of the following exclusive conclusions. Systems of equations inequalities foldable background. Oct 23, 2016 included is a foldable on twostep equations. These tutorials show you how to set up and solve systems of equations.
Im looking now for a foldable on solving inequalities. This leads us to our second method for solving systems of equations. Power point includes animated stepbystep instructions for creating a foldable for solving systems of linear equations using graphing, substitution, and. My algebra 1 students just finished our unit on systems of equations and inequalities. Selection file type icon file name description size revision time user. Update 101816 some people are having difficulties with the download below. Use the distributive property to multiply the 2 is the same. Microsoft word multistep equations foldable large version.
I gave students a flow chart hoping that would help them with their work. You are about to learn how to solve a system of equations by using the elimination method. The foldable that i use to teach about solving systems of equations through graphing walks students through one example. Once students have completed their foldable, i introduce todays work time assignment, the onestep equations sort. I used the following foldable for solving systems of equations by graphing. They are an excellent communication tool for students and teachers. Using the linear combination method solve the system.
The determinant of coe cients for system ax bis denoted by. First, we talked about what a system of equations actually is. A linear system is said to be consistent if it has at least one solution. One solution at the set of ordered pairs where the two lines cross. Have students come to board to solve the system of equations. Systems of equations and inequalities inb pages math love. Change the value of part of an expression and analyze how it changes the whole expression 2. Infinitely many solutions because the two lines are the same.
But, compared to previous years, i feel really good about this unit. Strategies for differentiation use a conic section graphing application on a calculator to help students visualize solutions to nonlinear systems of equations. A foldable for algebra 1 that covers the graphing, substitution, and elimination methods. Expressions represent quantities and can be strictly numerical or contain some combination of numerical terms and terms containing variables. Here are the steps for solving a system of equations by graphing. Do you have the pdf file for the elimination graphic organizer. This is a double sided pdf foldable that shows in detail the 3 ways to solve systems of equations. Students are able to see the process for solving using each of the methods. Principles for obtaining equivalent systems of equations. Students can either use the foldable as a handheld foldable or glue them into their interactive notebooks. C n2e0m1e2c fk fu ptmah gswozftttwua arsee nl ylycn. Then color the corresponding area on the coloring page.