Teaching Kids to Break Apart Numbers 8 and 9 Effectively

📚 Breaking Apart Numbers 8 and 9: A Teacher's Guide

This lesson plan focuses on teaching students effective strategies for breaking apart the numbers 8 and 9. By understanding how to decompose these numbers, students will develop a stronger number sense and improve their ability to perform addition and subtraction.

🎯 Objectives

• 🧠 Students will be able to decompose the number 8 into different pairs of addends.
• 🔢 Students will be able to decompose the number 9 into different pairs of addends.
• ➕ Students will use decomposition to solve simple addition and subtraction problems.
• 🤝 Students will collaborate with peers to explore different ways to break apart numbers.

📝 Materials

• 🧱 Number blocks or manipulatives
• 📃 Whiteboard or chart paper
• 🖍️ Markers or colored pencils
• 🧮 Worksheets with addition and subtraction problems

Warm-up (5 minutes)

• 🗣️ Begin by reviewing number bonds for numbers less than 8.
• ❓ Ask students questions like, "What two numbers make 5?" or "How can we break apart 6?"
• 🖐️ Use fingers or manipulatives to demonstrate different combinations.

Main Instruction (20 minutes)

Breaking Apart 8

• ➕ Introduce the concept of breaking apart 8.
• 🧱 Use number blocks to show different combinations (e.g., 7 + 1, 6 + 2, 5 + 3, 4 + 4).
• ✍️ Write each combination on the board:
  • $8 = 7 + 1$
  • $8 = 6 + 2$
  • $8 = 5 + 3$
  • $8 = 4 + 4$
  • $8 = 3 + 5$
  • $8 = 2 + 6$
  • $8 = 1 + 7$
  • $8 = 0 + 8$
• 🗣️ Explain that the order of the numbers doesn't change the total.

Breaking Apart 9

• ➕ Introduce the concept of breaking apart 9.
• 🧱 Use number blocks to show different combinations (e.g., 8 + 1, 7 + 2, 6 + 3, 5 + 4).
• ✍️ Write each combination on the board:
  • $9 = 8 + 1$
  • $9 = 7 + 2$
  • $9 = 6 + 3$
  • $9 = 5 + 4$
  • $9 = 4 + 5$
  • $9 = 3 + 6$
  • $9 = 2 + 7$
  • $9 = 1 + 8$
  • $9 = 0 + 9$
• 🗣️ Emphasize the different ways to represent 9.

Activity: Number Bond Challenge

• 🧑‍🏫 Divide students into pairs.
• 🤝 Give each pair a set of number blocks and a worksheet with number bond templates.
• ⏱️ Challenge them to find as many ways as possible to break apart 8 and 9 within a set time limit.
• 🏆 Encourage them to write down each combination they find.

Assessment (10 minutes)

• 📝 Provide a worksheet with addition and subtraction problems that require breaking apart 8 and 9.
• ➕ Example problems:
  • $7 + 2 = ?$ (Think: $7 + 1 + 1 = 9$)
  • $9 - 3 = ?$ (Think: $9 - 2 - 1 = 6$)
  • $6 + 3 = ?$ (Think: $6 + 4 - 1 = 9$)
  • $8 - 5 = ?$ (Think: $8 - 4 - 1 = 3$)
  • $5 + 4 = ?$ (Think: $5 + 5 - 1 = 9$)
  • $9 - 6 = ?$ (Think: $9 - 5 - 1 = 3$)
  • $4 + 5 = ?$ (Think: $4 + 6 - 1 = 9$)
• ✅ Evaluate students' understanding of breaking apart numbers based on their ability to solve the problems.

🔢 Learning Objective

Students will be able to decompose the numbers 8 and 9 into pairs of numbers in more than one way by using objects or drawings, and record each decomposition by a drawing or equation.

🖍️ Materials

• 🖐️ Ten-frames (printed or drawn)
• 🧸 Counters (e.g., teddy bears, blocks, beads)
• ✏️ Pencils
• 📃 Paper
• whiteboard or projector

☀️ Warm-up (5 mins)

Counting Review:

• 🗣️ Start by counting from 1 to 20 as a class.
• 🖐️ Use fingers to represent numbers and encourage students to do the same.

🧑‍🏫 Main Instruction (20 mins)

Introduction to Decomposing 8:

• 🧸 Begin with 8 counters.
• 🤝 Ask students to suggest ways to split the 8 counters into two groups.
• ✍️ For each suggestion, demonstrate on the ten-frame and write the corresponding equation on the board. For example:

Examples:

• ➕ 7 + 1 = 8
• ➗ 6 + 2 = 8
• ➖ 5 + 3 = 8
• ✖️ 4 + 4 = 8

Introduction to Decomposing 9:

• 🧸 Repeat the process with 9 counters.
• 🤝 Ask students to suggest ways to split the 9 counters into two groups.
• ✍️ For each suggestion, demonstrate on the ten-frame and write the corresponding equation.

Examples:

• ➕ 8 + 1 = 9
• ➗ 7 + 2 = 9
• ➖ 6 + 3 = 9
• ✖️ 5 + 4 = 9

Activity: Partner Work

• 👯 Pair students and give each pair ten-frames, counters, and paper.
• 📝 Instruct them to find as many ways as they can to decompose 8 and 9 and record each decomposition with a drawing and equation.

✅ Assessment (10 mins)

Individual Practice:

• 🧑‍🎓 Provide each student with a worksheet containing problems such as:

Fill in the missing number:

• ➕ 5 + ___ = 8
• ➗ 3 + ___ = 9

Draw a picture to show:

• ✍️ 2 + 6 = 8
• 🎨 4 + 5 = 9

Observation:

• 👀 Observe students as they work, noting their understanding of decomposing numbers.