Integer Problem Solving

A-G: Initial Lesson Plan Details

Subject: Mathematics

Grade Level: 7th Grade
Topic: Solving Problems in Contexts Involving Addition and Subtraction with Integers

Curriculum Area

United States Common Core Standards - Grade 7:
CCSS.MATH.CONTENT.7.NS.A.1:

• Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

Student Diversity Considerations

• Language Support: Visual aids and peer support for non-native English speakers.
• Gifted Learners: Extension tasks with complex problems.
• Math Anxiety: Encouragement through positive reinforcement and step-by-step guidance.

H: Lesson Phases

Lesson 1: Introduction to Integer Addition and Subtraction

INTRODUCTORY PHASE
Time: 10 minutes

• Hook: Begin the lesson with a quick-thinking math game. Ask students to think of temperatures and financial transactions to relate to positive and negative numbers (e.g., rising/falling temperatures, deposits, and debts). Show images of thermometers and bank accounts on the board.
• Establish Prior Knowledge: Discuss what students know about adding and subtracting whole numbers. Explain how integers are simply whole numbers but can be positive or negative.
• Resources Required: Images of thermometers, play money.

TEACHING & LEARNING PHASE
Time: 35 minutes

• Introduction to Concept: Draw a number line ranging from -20 to 20 on the board. Use it to visually demonstrate adding and subtracting integers.
• Differentiated Activities:
  • For Language Support: Pair English language learners with buddies who are proficient in English for peer explanations.
  • Hands-on Activity: Provide each pair with colored counters (red for negative, blue for positive). Have them model problems such as -4 + 3, 7 - 5, etc.
  • For Gifted Learners: Provide complex multi-step problems that involve real-world contexts like calculating elevations or financial transactions.
  • Anxiety Reduction: Provide guided practice with step-by-step instructions.

CLOSURE PHASE
Time: 10 minutes

• Wrap-Up Discussion: Recap the importance of integers by considering everyday situations (e.g., weather, bank transactions).
• Summarization: Encourage students to share one new thing they learned about integers and how they apply in real life.

ASSESSMENT

• Formative Assessment: Use exit tickets where students solve a couple of integer problems and write one thing they found easy and difficult. Teachers will use these to tailor the next lesson.

Lesson 2: Application with Word Problems

INTRODUCTORY PHASE
Time: 5 minutes

• Hook: Show a short video clip (without sound) of real-life situations involving integers, like an elevator going up and down or a thermometer rising and falling. Ask students to describe these scenarios using integers.

TEACHING & LEARNING PHASE
Time: 45 minutes

• Word Problems Focus: Introduce word problems that involve real-world contexts (e.g., submarine depths, mountain heights). Break down how to translate this into integer operations.
• Resources Required: Access to video clips, printed word problem sheets.

CLOSURE PHASE
Time: 5 minutes

• Reflection: Have students write down one challenge they faced with the word problems and one strategy they used successfully.

ASSESSMENT

• Formative Assessment: Collect students' work on their word problems to assess their understanding and adaptation of the integer concepts.

Lesson 3: Integer Operations Mastery

INTRODUCTORY PHASE
Time: 5 minutes

• Hook: Tell a story that involves a sequence of integer operations, relating to an adventure game where characters gain or lose points based on decisions.

TEACHING & LEARNING PHASE
Time: 45 minutes

• Problem-Solving Session: Provide a range of problems from various real-life contexts. Challenge students to develop their methods and strategies to solve them.
• Resources Required: Story script, problem cards.

CLOSURE PHASE
Time: 10 minutes

• Class Share-Out: Invite students to share their methods for different problems. Encourage discussion of different strategies.

ASSESSMENT

• Summative Mini-Quiz: Conduct a quiz comprising of real-life context problems requiring addition and subtraction of integers to synthesize learning across the unit.

This lesson plan prepares students to understand integer operations and applies these concepts in relatable contexts. By using simple but effective resources, the lesson caters to the diverse needs of all students while keeping them engaged and motivated.