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Öğrenciler, cebirsel ifadelerde toplama, çıkarma, çarpma ve bölme işlemlerini anlayıp uygulayabileceklerdir.

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Bir cebirsel ifadeyi işlemleri kullanarak nasıl basitleştiririz?

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Simplifying Algebra - Maths GCSE Revision (Foundation)

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Padlet üzerinden bir grup çalışması: Verilen farklı cebirsel ifadeleri gruplara ayırarak sınıflandırma yapınız.

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Playing games can be a great way to practice or review skills related to algebraic expressions.

For some students, learning algebraic expressions feels like drudgery, but it doesn't have to be that way. These three activities will get your students moving, talking, and thinking deeply about algebraic expressions, all while having fun. They're also a great way to practice or review skills that have already been introduced and explicitly taught.

3 Ways to Have Fun With Algebraic Expressions

1. Vocabulary Four Corners. Many students are overwhelmed by the prospect of translating a word problem into an algebraic expression. To help students feel confident recognizing keywords and appropriately converting them into numerical operations, you can introduce students to Vocabulary Four Corners.

In this version of Four Corners, you invite all students to move around the room based on a given vocabulary word. First, designate each corner of your classroom as an operation-addition, subtraction, multiplication, or division. Next, have all students stand behind their desks. Then, present students with a key vocabulary word and instruct them to move to the corresponding corner of the room. Once students have selected a corner, you can give them time to discuss their choice in groups and then call on a few students to share their thinking with the class.

This activity is a great way to help students review keywords while getting active in the classroom, moving around, and having a chance to talk in groups. If you want to make the activity more challenging, you can ask students to explain their thinking by making up sample story problems that use the given keyword.

2. How'd You Do It? This next activity is a great way to help students recognize the multitude of possibilities when working with algebraic expressions. There are a few different ways to implement this activity, depending on the amount of time you want to spend, but the basic structure is this: You present students with an algebraic term, and they come up with as many different algebraic expressions as possible that would simplify to your given term.

One way to do this is with a gallery walk. First, you need to post chart paper around the classroom and put one term on the top of each piece of paper. Next, split students into small groups and assign each group a piece of chart paper. Then, give students a set amount of time to spend writing their algebraic expressions on the chart paper before moving on to the next piece of paper as a group.

Once every group has had a chance to work on each piece of paper, you can then give students additional time to walk around the room and look at all of the expressions. Students may notice patterns in the types of numbers or operations their classmates used, or they may identify expressions that do not simplify to the given number. Students should share these thoughts within their small groups and then with the class at large.

If you don't want to use a gallery-walk approach, this same activity can work with small groups seated around the classroom. You can provide students with a term and a given amount of time to work together to come up with as many expressions as possible. You can then have groups share their expressions. If you want to make the activity more of a competition, you can even assign points for the numbers of unique expressions each group finds.

This activity helps students get creative and recognize how many possibilities exist when creating equivalent expressions. Depending on how difficult you want to make the activity, you can set additional parameters: Students must use negative numbers, students must use at least three operations, students must use division, etc.

An example of what students might come up with follows.

3. Equivalent Expression Stories. This last activity is another great way to have students practice recognizing and creating equivalent expressions. For this activity to work, you'll need to split students up into groups and, ideally, have them seated in columns or rows.

The first student in each column/row will be given a piece of paper with an algebraic expression on it. They will then write an equivalent expression underneath it and fold the top of the paper down. Then, they will pass the paper back to the next student. The second student won't be able to see the original expression, only the one written by the first student.

The second student will then repeat the process: Write an equivalent expression, fold the paper, pass it back. Once the paper reaches the last student, you will collect each group's work and show each equivalent expression story to the class.

Students can then discuss how each expression changed as it was passed, whether each expression remained equivalent to the original one, and any patterns they noticed. Similarly to the "How'd You Do It?" activity, you can scale up the difficulty by setting parameters around what students should use in their expressions.

A sample expression story might look like this:

Original expression: 5 x + 3 y

There are plenty of ways to personalize math activities to best fit the needs and interests of your students, but these three activities provide a jumping-off point to get your students engaged and excited about algebraic expressions.

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3 Fun Activities to Teach Algebraic Expressions

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Using fun activities to teach algebra gives kids a chance to review lessons on algebraic expressions in collaboration with their classmates.

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Cebirsel ifadelerde işlemleri detaylı bir şekilde anlatan öğretmen sunumu.

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Five Principles of Extraordinary Math Teaching | Dan Finkel | TEDxRainier

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Öğrenciler sınıfta belirli cebirsel ifadeleri çözmek için bireysel veya grup halinde çalışsın.

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The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

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Hızlı öğrenciler için ileri seviye cebirsel ifadeler, daha fazla desteğe ihtiyaç duyan öğrenciler için ise temel uygulamalar.

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Öğretmen, öğrencilerin ders esnasında nasıl ilerlediğini gözlemleyerek anlık geri bildirim sağlayacaktır.

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This article discusses different math formative assessment examples to inform both your teaching and your students’ learning.

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Öğrencilerin çalışma kağıtlarını toplayarak yapılan hatalar üzerinde birebir geri dönüş sağlanır.

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Ders sonunda 5 soruluk bir kısa quiz yaparak öğrencilerin konuyu ne kadar anladığını ölçün.

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Basic Algebra Quiz Questions With Solutions

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Welcome to our Basic Algebra Quiz! Whether you're a student looking to sharpen your algebraic skills or someone who enjoys the challenge of mathematical puzzles, this quiz is designed to test and enhance your knowledge of basic algebra concepts. Basic algebra is mathematics that is more abstract than arithmetic.

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Bugün ne öğrendiniz? En çok hangi kısmı zor buldunuz? Soruları üzerinden sınıfça tartışma yapılır.

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Her öğrenci, öğrendiklerini özetleyen kısa bir not yazarak teslim eder.

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Verilen çalışma kağıdını çözerek cebirsel ifadelerde işlemler konusunu pekiştirin.

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The Commutative Law

The commutative law or commutative property states that you can change the order of the numbers in an arithmetic problem and still get the same results. In the context of arithmetic, it only works with addition or multiplication operations, but not mixed addition and multiplication. For example, 3 + 5 = 5 + 3 and 9 × 5 = 5 × 9. A fun activity that you can use in the classroom is to brainstorm non-numerical things from everyday life that are commutative and noncommutative. Putting on socks, for example, is commutative because you can put on the right sock then the left sock or you can put on the left sock then the right sock and you will end up with the same result. Putting on underwear and pants, however, is noncommutative.

The Associative Law

The associative law or associative property allows you to change the grouping of the operations in an arithmetic problem with two or more steps without changing the result. The order of the numbers stays the same in the associative law. As with the commutative law, it applies to addition-only or multiplication-only problems. It is best thought of in the context of order of operations as it requires that parentheses must be dealt with first. An example of the associative law is: (9 + 5) + 6 = 9 + (5 + 6). In this case, it doesn't matter if you add 9 + 5 first or 5 + 6 first, you will end up with the same result. Students might think of some examples from their experience such as putting items on a tray at lunch. They could put the milk and vegetables on their tray first then the sandwich or they could start with the vegetables and sandwich then put on the milk. If their tray looks the same both times, they will have modeled the associative law. Reading a book could be argued as either associative or nonassociative as one could potentially read the final chapters first and still understand the book as well as someone who read the book the normal way.

Solving Simple Linear Equations

Using the distributive property

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, and example of which should help illustrate the definition. Consider the question, 35 × 12. Splitting the 12 into 10 + 2 gives us an opportunity to complete the question mentally using the distributive property. First multiply 35 × 10 to get 350. Second, multiply 35 × 2 to get 70. Lastly, add 350 + 70 to get 420. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying. For example, in the expression, 3(x + 5), x + 5 cannot be added without knowing the value of x. Instead, the distributive property can be used to multiply 3 × x and 3 × 5 to get 3x + 15.

Practice with basic exponent rules

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. For example, 4 ² is (2 ²) ² = 2 ⁴, but these worksheets just leave it as 4 ², so students can focus on learning how to multiply and divide exponents more or less in isolation.

Translating algebraic phrases in words to algebraic expressions

Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school. In these worksheets, students are challenged to convert phrases into algebraic expressions.

Rewriting linear equations

Determining linear equations from slopes, y-intercepts, and points

Linear Equation Graphs

Graphing linear equations and reading existing graphs give students a visual representation that is very useful in understanding the concepts of slope and y-intercept.

Solving linear equations

Despite all appearances, equations of the type a/ x are not linear. Instead, they belong to a different kind of equations. They are good for combining them with linear equations, since they introduce the concept of valid and invalid answers for an equation (what will be later called the domain of a function). In this case, the invalid answers for equations in the form a/ x, are those that make the denominator become 0.

Factoring quadratic expressions

The factoring quadratic expressions worksheets in this section provide many practice questions for students to hone their factoring strategies. If you would rather worksheets with quadratic equations, please see the next section. These worksheets come in a variety of levels with the easier ones are at the beginning. The 'a' coefficients referred to below are the coefficients of the x ² term as in the general quadratic expression: ax ² + bx + c. There are also worksheets in this section for calculating sum and product and for determining the operands for sum and product pairs.

Factoring expressions that do not include a squared variable

Factoring expressions that always include a squared variable

Factoring expressions that sometimes include squared variables

Writing the inequality that matches the graph

Graphing inequalities on number lines

Solving linear inequalities

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Algebra worksheets including missing numbers, translating algebraic phrases, rewriting formulas, algebraic expressions, linear equations, and inverse relationships.

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Cebirsel ifadeler ile ilgili eğlenceli bir online oyun oynayarak öğrendiklerinizi pekiştirin.

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Algebra has a reputation for being difficult, but Math Games makes struggling with it a thing of the past. Kids can use our free, exciting games to play and compete with their friends as they progress in this subject!

Algebra concepts that pupils can work on here include:

Solving and writing variable equations to find answers to real-world problems

Writing, simplifying and evaluating variable expressions to figure out patterns and rules

Solving linear equations and inequalities

Finding the slopes of graphs, and graphing proportional relationships and equations

Completing and writing rules for function tables

With Math Games, students can work at a suitable level for their individual abilities, in a format that's simple to use and lots of fun to engage with! They can also use our digital textbook, game applications or PDF worksheets. Choose a skill to start playing.

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math games practice algebra free math games practice common core standards

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Find Math games to practice every skill.

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Kendi cebirsel ifadelerinizi oluşturarak işlemleri kullanarak çözümlerini içeren bir mini-proje hazırlayın.