Compose 10 with two or more addends with and without concrete objects

Standards Alignment

• TEKS.MATH.1.03C primary
  compose 10 with two or more addends with and without concrete objects;
• TEKS.MATH.1.03D primary
  apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10;

Lesson Overview

This Grade 1 mathematics lesson focuses on composing the number 10 using two or more addends. Students will explore this concept both with concrete objects and without, developing strategies to add numbers within 20 by making 10 and decomposing numbers leading to 10. The lesson aligns with TEKS standards TEKS.MATH.1.03C and TEKS.MATH.1.03D and emphasizes mathematical process standards to solve addition problems.

Learning Objectives

• Compose the number 10 using two or more addends with concrete objects.
• Compose the number 10 using two or more addends without concrete objects.
• Apply basic fact strategies to add and subtract within 20, including making 10 and decomposing numbers leading to 10.

Success Criteria

• Students can use objects or drawings to show different ways to make 10 with two or more addends.
• Students can explain their strategies for composing 10 using addition.
• Students can solve addition problems within 20 by making 10 or decomposing numbers leading to 10.

Prerequisite Knowledge

Students should understand basic addition concepts and be familiar with numbers up to 10, including counting and recognizing quantities.

Key Vocabulary

• Addends
• Compose
• Decompose
• Make 10
• Addition
• Sum

Materials and Resources

• Counters or small objects (e.g., cubes, buttons)
• Paper and pencils
• Whiteboard and markers
• Number cards from 1 to 10

Teacher Preparation

• Prepare sets of counters or small objects for each student or group.
• Prepare number cards for composing 10.
• Prepare simple addition problems involving sums up to 20, emphasizing making 10.

Detailed Lesson Notes

Understanding 'Compose 10'

To compose 10 means to find two or more numbers (addends) that add together to make 10. For example, 7 + 3 = 10 or 4 + 4 + 2 = 10. This concept helps students see different ways to break down and build numbers, which is foundational for addition and subtraction strategies.

Using Concrete Objects to Compose 10

Concrete objects like counters help students visualize addition. For example, if a student has 6 counters and adds 4 more, they can physically count all to see they have 10. Using objects allows students to experiment with different combinations that make 10 and understand the concept of addends.

Composing 10 Without Concrete Objects

After practicing with objects, students learn to compose 10 mentally or with drawings. They might draw 5 circles and then 5 more to show 5 + 5 = 10. This step encourages abstract thinking and prepares students for solving addition problems without manipulatives.

Basic Fact Strategies: Making 10 and Decomposing Numbers

Making 10 is a strategy where students use 10 as a benchmark to add numbers more easily. For example, to add 8 + 5, a student can think: 8 + 2 = 10, then 10 + 3 = 13. Decomposing numbers means breaking a number into parts that help make 10. These strategies help students add and subtract within 20 efficiently.

Connecting to Real-Life Problems

Using real-world examples, such as having 4 apples and getting 6 more, helps students see the relevance of composing 10. This connection motivates learning and helps students apply addition strategies outside the classroom.

Worked Examples

Classroom Activity

Students work in pairs or small groups to explore and record different combinations that compose 10.

Guided Practice

Independent Practice

1. Foundational: Show two numbers that add up to 10 using counters or drawings.
2. Developing: Write a number sentence for three addends that compose 10.
3. Application: Use the making 10 strategy to solve 9 + 6 and explain your steps.
4. Analysis: Explain why decomposing a number to make 10 helps in addition.
5. Challenge: Create a word problem that requires composing 10 with two or more addends and solve it using drawings or equations.

Independent Practice Teacher Answer Key

1. 1. Examples include 6 + 4, 5 + 5, or 7 + 3; students should represent these with objects or drawings.
2. 2. An example is 2 + 3 + 5 = 10.
3. 3. Decompose 6 into 1 and 5; 9 + 1 = 10, then 10 + 5 = 15.
4. 4. Making 10 creates a benchmark number that is easier to add to, simplifying the addition process and reducing errors.
5. 5. Example: "You have 4 red balloons and some blue balloons. If you have 10 balloons in total, how many blue balloons do you have?" Solution: 4 + 6 = 10; blue balloons = 6.

Guiding Questions

• What are some different ways to make 10 using two or more numbers?
• How can you use objects or drawings to show your addition?
• What does it mean to make 10 when adding numbers?
• How can breaking apart a number help you add more easily?
• Can you explain how you solved this problem?

Common Misconceptions

• Students may think there is only one way to make 10 instead of multiple combinations.
• Students might add numbers in any order without understanding the strategy of making 10.
• Some students may confuse decomposing numbers with subtracting rather than breaking apart for addition.

Differentiation

Assessment

• Observe students as they compose 10 with counters and explain their thinking.
• Listen to students' explanations during guided practice to assess understanding.
• Draw or write two or more addends that make 10.
• Solve an addition problem within 20 using the making 10 strategy and explain your steps.
• Complete a worksheet with problems requiring composing 10 and using making 10 strategy to add within 20.

Answer Guide

• Show two numbers that add up to 10 using counters or drawings.
  Answer: Examples include 6 + 4, 5 + 5, or 7 + 3 represented with objects or drawings.
• Write a number sentence for three addends that compose 10.
  Answer: An example is 2 + 3 + 5 = 10.
• Use the making 10 strategy to solve 9 + 6 and explain your steps.
  Answer: Decompose 6 into 1 and 5; 9 + 1 = 10, then 10 + 5 = 15.
• Explain why decomposing a number to make 10 helps in addition.
  Answer: Making 10 creates a benchmark number that is easier to add to, simplifying the addition process and reducing errors.
• Create a word problem that requires composing 10 with two or more addends and solve it using drawings or equations.
  Answer: Example: "You have 4 red balloons and some blue balloons. If you have 10 balloons in total, how many blue balloons do you have?" Solution: 4 + 6 = 10; blue balloons = 6.

Real-Life Application

Encourage families to practice composing 10 with everyday objects at home, such as toys or snacks, and discuss different ways to make 10 together.

Homework or Home Connection

• Encourage families to practice composing 10 with everyday objects at home, such as toys or snacks, and discuss different ways to make 10 together.

Lesson Summary

In this lesson, students learn to compose the number 10 using two or more addends with and without concrete objects. They practice using counters and drawings to represent addition and apply the making 10 strategy to solve addition problems within 20. These skills build a strong foundation for addition and subtraction by helping students understand number relationships and efficient problem-solving strategies.

Teacher Notes

Use the exact standards alignment and retrieved-source provenance stored with this enrichment.

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