PEMDAS: Order Up!
Students will be able to solve expressions using the order of operations.
- Prior to conducting this lesson, gauge students' understanding of the order of operations.
- Write a pair of equations on the board similar to: 5 × 3 + 6 and 5 + 3 × 6.
- Discuss the rules that must be followed for this problem to be solved correctly.
- Have students insert parentheses around the multiplication or division part in the expressions, and define it as symbols used in mathematics to group things.
- Discuss the similarities and differences in the problems and the change in results this would cause.
- Explain that at the conclusion of this lesson, they will be able to solve problems that require them to know the order in which operations should take place.
Explicit Instruction/Teacher modeling(15 minutes)
- Using the Algebraic Expressions worksheet, section 2, write an equation on the board.
- Use parentheses to evaluate the expression in two different ways and explain the difference in the two expressions.
- Review the PEMDAS acronym and explain that it shows the order to follow when solving math expressions with different operations. Model solving the expression using the PEMDAS as a reference.
- Reveal the correct answer.
Guided Practice(10 minutes)
- Using the remaining problems on the Algebraic Expressions worksheet, section 2, have students use parentheses to solve the equations. (Note: if you use the key that is provided to answer the questions, you will have to provide parentheses that will equate to the correct answer.)
- Allow students to work in small groups or pairs to solve each problem.
Independent working time(25 minutes)
- If your students have not yet learned exponents, explain them now or make the five questions on the worksheet that requires them optional.
- Using the Order of Operations: PEMDAS worksheet, have students use the order of operations to work through each of the problems.
- Have students create a PEMDAS foldable or cheat sheet that they can use as they work through each problem.
- Allow students to create their own problems and solve them.
- Have students identify the PEMDAS components.
- Then, have students write the following equation on a note card: 5 – 3 [23 – 5 + 7 (-3)].
- Have each student solve the equation individually and turn it in as an exit ticket.
- If time permits, allow students to solve the equation using the whiteboard.
Review and closing(5 minutes)
- Recap the day's lesson and emphasize the importance of the order of operations.
- Allow students to ask questions that they still have and make comments about what they have learned today.