### Lesson plan

# PEMDAS: Order Up!

#### Learning Objectives

Students will be able to solve expressions using the order of operations.

The adjustment to the whole group lesson is a modification to differentiate for children who are English learners.

#### Introduction

*(5 minutes)*

- 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.

#### Differentiation

**Support:**

- Have students create a PEMDAS foldable or cheat sheet that they can use as they work through each problem.

**Enrichment:**

- Allow students to create their own problems and solve them.

#### Assessment

*(5 minutes)*

- 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.