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Solving Expressions with Variables in 4th Grade Mathematics

In this lesson, we will explore how to solve expressions that include variables. We will utilize the order of operations to simplify expressions effectively. Students will learn about the importance of variables, understanding what they represent, and engage in problem-solving activities such as simplifying equations using multiplication, division, addition, and subtraction. Interactive exercises will reinforce learning, with collaborative discussions to enhance comprehension. By mastering these skills, students will be better prepared for higher-level math challenges and tests.

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Solving Expressions with Variables in 4th Grade Mathematics

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  1. 4th gradeCh 8.1Solving expressions with variables AF 1.1

  2. Objective: • We will solve expressions with variable What are we going to do today?

  3. APK • Order of Operations – • Rules to simplify expressions!!! Exponents Parentheses Multiply Add Subtract Divide In your own words, what is the order of operations?

  4. APK • Order of Operations – rules that tell us which order to go!!! NOTE When we have multiplication and division in the same equation….go from left to right!!!! Ex: 16÷2 x 8 + 5 When we have adding and subtracting in the same equations…go from left to right! Ex: 3+ 4 – 10 x 5

  5. APK • Simplify the expressions: • (16 – 15) x (13 + 2) • 38 – 4 x (3 + 5)

  6. Concept Development • Variable – is a LETTER or SYMBOL that is used to stand for an unknown number. Example: (y + 2) x 10 50 – (6 x y) CFU: R-A-J What is a variable?

  7. Concept Development RAJ • Which one of these expressions has a variable? • A. (y+2) x 10 • B. 5 + 4 Show me with your white board • How did know that was the correct answer? Pair share Pick non volunteer

  8. Importance • By knowing how to solve expressions you will able to: • 1. find the answer • 2. know how to find higher level questions. • 3. will be able to pass the test • 4. Do well on CST. • Why is this important to you? • Pair share • Ask for volunteers CST Release question

  9. Steps: #1: Write the problem down #2: Replace the variable with the number #3: Use the order of operations to solve the problem Skill DevelopmentI do: • Using a brace map we will evaluate the expressions: y = 2 CFU How did I know to write 2 in for the y? How did I know which operation to use first? Pair share Pick non volunteers y = 5 Order of Operations: Parenthesis Exponents Multiply Divide Add Subtract

  10. Steps: #1: Write the problem down #2: Replace the variable with the number #3: Use the order of operations to solve the problem Skill DevelopmentWe do: • Using a brace map we will evaluate the expressions: CFU How did we know to write 2 in for the y? How did we know which operation to use first? Pair share Pick non volunteers y = 2 y = 5

  11. Steps: #1: Write the problem down #2: Replace the variable with the number #3: Use the order of operations to solve the problem Skill DevelopmentYou do: • Using a brace map we will evaluate the expressions: y = 2 Do on white board How did you know? How did you get that answer? y = 5

  12. Closure • What do we call a LETTER or SYMBOL that is used to stand for an unknown number? • On White Board • What did you learn about variables today? • Pair-share, volunteers

  13. Independent Practice • Worksheet. - Alternative Approach

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