Multi-Step Math Intro

Grade Level

5th Grade

Duration

30 minutes

Class Size

5 students

Standards Alignment

Common Core State Standards for Mathematics (CCSSM)

CCSS.MATH.CONTENT.5.OA.A.1 - Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
CCSS.MATH.CONTENT.5.NBT.B.7 - Perform operations with multi-digit whole numbers and decimals to hundredths.
CCSS.MATH.CONTENT.5.MD.A.1 - Convert among different-sized standard measurement units and use these conversions in solving multi-step word problems.
CCSS.MATH.PRACTICE.MP1 - Make sense of problems and persevere in solving them.
CCSS.MATH.PRACTICE.MP2 - Reason abstractly and quantitatively.

Learning Objectives

By the end of this lesson, students will be able to:

Identify key terms and operations needed in multi-step word problems.
Break down a multi-step word problem into manageable parts.
Demonstrate initial problem-solving strategies for multi-step problems.
Work collaboratively to explain reasoning and approach to solving.

Materials Needed

Whiteboard and markers
Printed multi-step word problems (2-3 problems)
Individual dry erase boards and markers for each student
Color-coded operation cards (Addition, Subtraction, Multiplication, Division)
Timer or stopwatch

Lesson Breakdown

1. Warm-Up Activity (5 minutes)

Goal: Activate prior knowledge on single-step word problems.

Begin by writing a simple one-step word problem on the whiteboard, for example:
"Sara has 8 apples. She buys 7 more. How many apples does she have now?"
Ask students to solve it on their individual dry erase boards.
Quickly review the answers as a class.
Ask: “What was the operation we used? How do we know?”
Introduce the idea that multi-step problems require more than one of these operations, often combined.

2. Introduction to Multi-Step Problems (7 minutes)

Goal: Develop understanding of multi-step problems and recognize key terms.

Write a multi-step word problem on the board:
“Mike has 12 marbles. He gives 5 to his friend. Then he buys 8 more. How many marbles does Mike have now?”
Use guided questioning:
- “What is the first thing we need to do?”
- “What operation will that involve? Why?”
- “What is the next step?”
Use the color-coded operation cards to visually underline the operations being used.
Model the process of breaking down the problem into steps on the whiteboard.

3. Group Practice with Strategy Sharing (12 minutes)

Goal: Practice identification and decomposition of multi-step problems with peer collaboration.

Hand out 2 different multi-step word problems to the students, either printed or projected.
In pairs or small groups, have students:
1. Read the problem out loud.
2. Circle or underline key terms (e.g., “total,” “left,” “more than”).
3. Write down the order of operations.
4. Solve the problem on their dry erase boards.
Circulate the room offering guided support.
After 8 minutes, bring the class back together.
Ask two pairs to share their problem, the steps they identified, and the reasoning for their operations.

4. Quick Formative Assessment and Reflection (6 minutes)

Goal: Assess student understanding and encourage reflection on problem-solving approach.

Ask each student to write a two-step word problem of their own on their dry erase board, using key terms learned.
Students exchange with a partner and attempt to solve.
Quickly discuss as a group:
- What was tricky?
- How did identifying key terms help?
- What strategies made solving easier?

Differentiation Strategies

For Struggling Students: Provide simpler two-step problems with guided hints and use more visuals. Use more concrete materials (like counters).
For Advanced Students: Challenge with three-step problems or have students create their own multi-step problems and explain the reasoning behind the operations.
For English Language Learners: Emphasize vocabulary with visuals and examples, allow students additional time, and use peer helpers.

Assessment Criteria

Ability to identify key terms and correctly determine required operations.
Demonstration of breaking down multi-step problems into steps.
Participation in verbal explanation and group discussion.
Quality and accuracy of student-created two-step word problems.

Teacher Reflection Notes

Watch for specific student struggles with operation order and vocabulary comprehension.
Note which students can independently apply problem-solving strategies.
Reflect on pacing—adjust upcoming lessons if students require more practice on problem decomposition.
Consider integrating technology (e.g., interactive math apps) for future lessons to deepen engagement.

WOW Bonus Idea:
Use a physical “problem-solving station” in the classroom with operation cards, manipulatives, and illustrated word problems. Rotate students through this hands-on area to reinforce multi-step thinking kinesthetically after the lesson.

Teaching Instructions