![]() Provide an example, starting with an easier problem, such as:Įvaluate the following expression when z = 2 and y = 3.Įxplain that by substituting a number for each variable, we’ll get: Explain that since we know that evaluating algebraic expressions entails substituting a number for each variable and performing the operations while keeping in mind the order of operations, we can easily find the value of the algebraic expression. Once children are comfortable with writing algebraic expressions, demonstrate how to evaluate such expressions. ![]() ![]() (8 multiplied by y) Evaluating Algebraic Expressions In lack of commas, you can even break down a word expression to explain this more visually, for example: In other words, we can translate the identified operations into 6 x z + 8 x y or 6z + 8y.Įncourage children to be attentive to commas in verbal expressions, as this will help them group the terms properly. Explain that in this case, there is one addition (‘sum of’) and then two multiplications (‘multiplied by’). You may even encourage them to use a highlighter. You can start by encouraging students to first identify the phrases indicating operations. The sum of 6 multiplied by z and 8 multiplied by y For instance, explain how you’d write an algebraic expression for the following word expression: Then, you can provide some practical examples. For example, you can draw a chart in different colors for each operation and the phrases associated with it. Multiplication: times, multiplied by, product…įor an overview of more common phrases in word problems, you could try using some visually stimulating materials. Subtraction: less than, decreased by, taken from, minus… First, highlight some common phrases to which students should be attentive. Writing Algebraic ExpressionsĪfter you’ve defined what writing algebraic expressions means, it’s time to move on to the actual process of writing algebraic expressions out of word problems. This includes math problems on recognizing whether an expression is an algebraic expression, recognizing what a variable is, practicing the order of operations, differentiating between algebraic expressions and numerical expressions, etc. You can create a simple bell-work activity that contains several math problems to help children go through concepts that writing and evaluating algebraic expressions builds on. Start with a brief preparatory activity to review previously learned concepts with children. How to Teach Evaluating and Writing Algebraic Expressions Bell-Work Activity The process of translating written words into algebraic expressions is called writing algebraic expressions, whereas the process of substituting a number for each variable and doing the operation is called evaluating algebraic expressions. Explain that when algebra problems come as word problems, we must translate these words into algebraic expressions. Then point out that algebraic expressions are not always provided in a straightforward way as the above example, but may come in the form of word problems. Provide an example, such as 5x-2 is an algebraic expression, as it contains two constants (the number 5 and 2 which don’t change), a variable (the letter x, which can change), and an operation (subtraction). Most likely, some of them will reply that an algebraic expression is a mathematical expression that consists of constants, variables, and operations (such as addition, subtraction, multiplication, etc.). What Is Writing and Evaluating Algebraic Expressions?įor starters, ask children whether they remember the definition of an algebraic expression. Teachers and homeschooling parents can support their students in solving such algebra problems in various ways, which we’ll look at in the following article. This is referred to as evaluating and writing algebraic expressions. To solve such word problems, kids must first create algebraic expressions out of word problems. Some are simple and concise, whereas others are complex and may even resemble a short story. When learning algebra in school, children come across many word problems.
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