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For All Subject Areas. See All Resource Types. Do you need a fun way for students to practice solving equations with fractions with minimal prep? In this activity, students use the answer to one problem to find another problem hangi. MathAlgebraFractions. ActivitiesGamesTask Cards. Add to cart. Wish List. With this worksheet, students will practice solving one-step and two-step equations with decimals and fractions.

This worksheet is intended to prepare students for.This post originally appeared on the blog Free to Discover. Last week I compared equation solving to putting on socks and shoes.

In the morning when getting ready for the day, socks go on first, then shoes. But at the end of the day, shoes come off first, then socks. The same is true for equations. So to undo the operations, start by removing the 1 and then the 3. I have used this analogy year after year and it has proven an effective strategy for my students. Very quickly we move from one-step review to solving equations with four or more steps.

### Introduction to Algebra

I have found that students who are lazy about showing their work in the beginning of the unit tend to flounder when they have many more steps, variables, and numbers to keep track of. I have also seen many more errors with integers and incorrect operations when the work is not clearly done out. There are always some moans and groans, but I know that it makes a huge difference a week later. When students are showing their beautiful work, I ban some of the symbols they may have used in the past.

Eighth graders find it shocking that I bring in the idea of relationships and it captures their attention. It can get confused with the common variable, and parenthesis are a better way to communicate multiplication. I urge my students to use the fraction bar to show their division.

I gave a couple of basic examples to show that they represent the same thing. Finally, I do not allow students to divide by a fraction. I require multiplication by the reciprocal. I help students buy-in by demonstrating how it actually saves them time and work if they multiply directly within their organized steps. Holiday-Themed Partner Practice : My first few years of teaching, holidays would roll around and I would get so excited!

I wanted to acknowledge the holiday in my classroom, but I could never find anything mathematically meaningful.

Students travel in pairs as they each solve a different problem. If they are correct, they will have the same answer as their partner.

Great self-checking activity. Fun unscrambling component at the end, too! I call five students up to board at a time.

Everyone else has paper and pencil out so they continue practicing even if the spotlight is not on them. I read an equation aloud that everyone solves at the same time. I switch up which students are at the front board so that everyone goes up times. Mini-Whiteboard Practice : I have a set of mini-whiteboards to use with my classes.

Students solve an equation on the board, then when I give the signal they all hold up the boards with their work and the answer so I get quick feedback on the level of understanding in the room and I can pinpoint students that I should check in with.

Task Cards : I love task cards! My favorite strategy for task cards has been to leave them in a bin in the front of the room with the answer key posted nearby. Each student takes one card, checks their answer, and replaces their card with a new one once they get it correct.

I have done this individually or in pairs. Thank you 21 st Century Math Projects!

## Tips and Tricks for Teaching Students How to Solve Linear Equations

She loves working with secondary math students! After five years as an eighth grade math teacher, she moved into a part-time role as a math interventionist for grades One of the first lessons taught in Algebra is Solving Equations. This is the basis of Algebra and many other lessons taught in Algebra will rely on knowledge of this skill.

Your first paragraph However, in Algebra, one of the terms is typically unknown and a variable letter is used in it's place. We must solve this equation to determine the value of x. I am going to teach you how to solve many types of equations.

We will start with the basic algebra equation, which only involves one step to solve. From there we'll move onto two-step equations. I'll even teach you how to solve equations that contain fractions. They look scary, but they are really not too bad.

Then we'll move on to equations with variables on both sides and writing equations based on word problems. We'll cover it all - so get your thinking cap on and get ready to solve equations. Click on the specific lesson that you may need help with, or follow along in order to complete the entire unit.

Good luck! We have a new platform with updated videos and worksheets.

## How to teach ... algebra

Click here to login to our Learn Worlds platform. Algebra Class. Overview of the Equations Unit In this set of lessons, here's what you will find!

Balancing Equations Solving one-step equations Addition. Solving one-step equations Subtraction.

Apprendimento e memoria. questioni generali e

Solving one-step equations Multiplication. Solving one-step division equations. Solving two-step equations. Need Help? Try This Online Calculator!

Let Us Know How we are doing!In algebra, X marks the spot. Presented in the right way, it can even be exciting and magical.

Solving Linear Equations - Basic Algebra Shortcut Tricks!

So how can you help your students get to grips with the topic? First, the basics. For young pupils, understanding the repetitive nature of patterns is a crucial step in laying the groundwork for algebra. You can use this interactive lesson and encourage your pupils to demonstrate their understanding by continuing a pattern on a string of beads.

Or, if your craft supplies are plentiful, you could get them to replicate and complete the pattern in real life. There is more pattern play in these worksheets from Twinkl. This simple activity challenges pupils to work out the pattern in a series of numbers, and complete the row. Or, for a more visual approach, try this cut-out activity with images of the seaside ice-creams, sandcastles and so on to consolidate understanding of repetition.

This clear animated video introduces those concepts with the story of a clown travelling to a party with a bunch of balloons. Children are introduced to a simple equation about the number that have blown away, and are shown how to solve it. And if your class needs work presenting functions, try this resource, which uses a jigsaw activity to create simple sums. To bring algebra to life in a real way, try these resources from TeachIt Primary.

This investigation gets pupils to work out how many handshakes would take place if a class of 30 children all greeted each other this way. The children can then use their understanding of algebra to create a formula that will work for any number of participants.

Once your class has mastered this vital skill, you can test their understanding with these quizzes from PrimaryLeaplooking at balancing equations through addition and subtractionand for higher-level skills, through multiplication and division. Get your students excited about algebra with this masterclass from maths teacher Jonny Heeley. It begins with a quick trick that enables Heeley to correctly guess the birthdays of three students, before he dresses up as a fruit seller and creates his own coffee shop to make algebraic concepts relatable and fun.

Or, for an even more far-reaching look at the usefulness of algebra, this resource from the Royal Observatory Greenwich looks at the orbits of the planets. The cross-curricular activity begins by introducing the work of the 17th-century astronomer Johannes Kepler, who calculated that the orbits of planets were elliptical rather than circular.

Students can then use their algebra to sketch the trajectories of different planets and use equations to work out just how elliptical an orbit is.This post originally appeared on the blog Scaffolded Math and Science. First, I have to post this Quadratic Formula template that we use in class.

It helps my students so much with identifying A, B and C and keeping all the parts of the equation intact as they move through it. I print a bunch and leave them in the basket by my classroom door.

Students know to take one on their way in and use it to solve the quadratic I shine on the board. My friend Kara from Learning Made Radical and I have been working on these partner scavenger hunt activities. The one above is a new one for the Quadratic Formula. Pairs of students get 2 clocks and 2 unique sets of cut-outs.

If student answers are different, they work together to find the error. Once the partners settle on an answer, they look for this answer on the top of another cut-out. They then each solve their next unique problem until their answers match.

Displaying student work has worked really well in my classroom for boosting student confidence. We use those super strong magnets so by the end of the year, piles are stacked on top of each other!

Students get to color a little too, which is always fun. My students like this solving quadratic equations chain activity because I build in extra credit.

Please excuse the hideous word wall in the background… it has since been majorly updated! In this post, I wanted to highlight a few fun quadratics activities.

I wrote more about the activities we do in class, including the posters and anchor charts that help through this unit, in the post Fun With Quadratics. She has an undergraduate degree in Environmental Science, a graduate degree in Mathematics for Teaching and is certified to teach math, biology, and students with moderate disabilities.

Shana blogs at scaffoldedmath. Fun Quadratic Formula Activities! By Scaffolded Math and Science. Of all Algebra and Algebra 2 topics, quadratics is by far my favorite.

What I love most is that students start SO intimidated and by the end are old pros. So much growth happens during this unit. I love seeing my students grow more confident as they learn how to solve quadratics in different ways.

In this post, I want to highlight a few fun Quadratic Formula activities. Visit her TpT store.By Signing up, you agree to our privacy policy.

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Alland teaches students seeking degrees in business, education, health sciences and other areas. Some students in my introductory algebra class struggle with basic concepts. Based on my lessons learned with this diverse group of learners, following are some tips for teaching algebra to a general audience. I tell students that the goal is to get x by itself on one side of the equation. Most are able to follow this procedure.

Then when I ask them what should be the next step, some students want to subtract the 2 from the 2 x. So I explain that 2 x means 2 multiplied by xso to get x by itself we need to divide by 2.

This satisfies some students but others remain confused. Collecting Like Terms I use a similar strategy when I am explaining how to add like terms. Then I ask them to evaluate how many fruits of each kind are left.

Then I tell students that in math we also have different kinds of fruits but they have mathematical names such as x 4x 2 and just plain numbers.

They are then usually able to make the connection and get the right answer. Factoring Polynomials Most algebra textbooks introduce factoring of polynomials before describing the purpose of factoring.

I prefer to start by showing my students a graph of a quadratic equation which is a parabola, and explaining that the solutions of this quadratic are the x intercepts they are already familiar with the concept of intercepts from linear equations.

Then I indicate that there are three ways of solving this type of equation: 1 The quadratic formula, 2 completing the square and 3 factoring when possible. Then the reason for factoring becomes more understandable in view of the ultimate goal. Then I write two equations like this:. This makes the explanation that we need two equations to solve for x and y more understandable. What I try to do is clearly demonstrate the analogy with finding the LCM of numbers, which they have studied in an earlier chapter and know fairly well by the time we get to rational expressions.

She said she was told in her previous math classes in high school that equations always have an answer, so what is the answer here? But in the equation above, the right side is a transformation of the left side—a transformation into an equivalent but differently formatted expression.

Leave this field blank. Search Search. Newsletter Sign Up. Search form Search. Trending Puerto Rico Hand out this printable student work sheet with the uncorrected text for students to find errors of capitalization, punctuation, spelling, or grammar.Includes 1 step, 2 step, brackets, unknowns both sides, problem solving.

Variety of abilities with different variations of the lessons on the ppt. Hopefully you can take something from it. TES Resource Team 2 years ago 5. Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection. Great set of sheets - especially like the 2nd parts spotting and correcting common errors.

Thanks for sharing. One of a set of five lessons covering solving eqautions. The file shows clear step by step working for selected examples followed by extra practice examples. The work can be used for a whole class, revision for individual pupils or help for parents. An excellent consolidation activity on solving linear equations suitable for foundation and higher students.

Students must solve equations to make their way across the maze, revising equations involving brackets, fractions, unknowns on both sides etc. The equations get more complex as you cross the maze to build confidence and increase challenge. Four matching activities where students must join the equations that match the central cloud but also solve the ones that don't match. The four tasks get increasingly difficult. This is designed as a starter, plenary or discussion type exercise where you can pick a particular matching to suit your class.

At it's most challenging there are fractions involved. Five carefully thought-out worksheets, which have helped many classes quickly develop competency with their equation solving skills. All of these sheets contain equations that can be solved in just two steps and each worksheet gets slightly harder and allow students to progress through to equations with bracketed expressions and eventually with squares and roots.

Fully-worked solutions are providedwhich can be projected onto a screen. StewartLiles 2 months ago 5. Beginning with relatively easy equations and building up to equations with fractional parts on both sides of the equals sign. I am writing this for a new class so that I know where to start on equations, but the anagrams are always popular too, offering an incentive to finish. Typo corrected. As ever a top quality resource with well thought-out progression through the quesitons and a nice hook to encourage students to persevere.

Thank you for sharing freely. These worksheets with detailed solutions enable steady progression by allowing students to take the first stepsthen strengthen and extend their skills in solving equations which have the unknown on both sides. The First Steps and Strengthen sheets are good for one-to-one tutorials and interventions.

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Knoble a month ago 5. A range of solving linear equations questions including questions with brackets, fractions, x on both sides.

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Answers include positive, negative and fractional answers. Students had the option of completing more easier questions or fewer harder questions. Answers are included on the sheet because I was focusing on method and working out. These several worksheets of various difficulty on linear equations one variable equationsthey go from fairly difficult to monstrously difficult! Very detailed step-by-step solutions are provided with explanations of each step.