Fact Family Fun: A Number Bond Adventure

Created byEva Benner

3 views0 downloads

Fact Family Fun: A Number Bond Adventure

Grade 1Math7 days

In this 1st-grade math project, students embark on a 'Fact Family Fun' adventure to understand number bonds and fact families, developing strategies for addition within 100. They use hands-on activities like building 'Fact Family Houses' and creating story problems to explore the relationship between addition and subtraction. The project culminates in students creating their own math game to reinforce these concepts, promoting a deeper understanding of number relationships and problem-solving.

Number BondsFact FamiliesAdditionSubtractionBase Ten BlocksRegroupingProblem-Solving

Want to create your own PBL Recipe?Use our AI-powered tools to design engaging project-based learning experiences for your students.

📝

Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can understanding number bonds and fact families help us develop different strategies for adding numbers within 100 and representing them in various ways to solve real-world problems?

Essential Questions

Supporting questions that break down major concepts.

How can we represent numbers in different ways?
How do number bonds help us understand addition and subtraction?
How can we use fact families to solve math problems?
What strategies can we use to add numbers within 100?

Standards & Learning Goals

Learning Goals

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

Understand and explain number bonds within 100.
Use fact families to solve addition and subtraction problems.
Apply different strategies for adding numbers within 100.
Represent numbers in various ways using concrete models, drawings, and written methods.

Common Core Standards

1.NBT.C.4

Primary

Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning usedReason: Directly addresses addition within 100, strategies for addition, and the relationship between addition and subtraction, all central to understanding number bonds and fact families.

Entry Events

Events that will be used to introduce the project to students

The Missing Toy

A favorite classroom toy 'disappears.' Provide clues that are number bond problems. Students solve the problems to reveal the toy's hiding place, reinforcing fact families in a fun, investigative context.

Community Quilt

Start a collaborative quilt project where each patch represents a number bond. Students decorate patches to show different ways to make a target number (e.g., all patches for '10'). This creates a visual representation of number relationships and celebrates community.

Solve the Snacks

Present a snack-related problem, like dividing a bag of cookies fairly. This encourages them to use number bonds to find different ways to split the snacks, connecting math to a relatable situation.

Building Block Challenge

Challenge students to build towers of a specific height using different combinations of colored blocks. Students record the different color combinations (number bonds) that achieve the target height, linking math to a hands-on building activity.

📚

Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.

Activity 1

Number Bond Explorers

Students begin by exploring number bonds to 10 using manipulatives. This activity helps them visualize the relationship between numbers that make up a whole.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Use two-colored counters or beads to show different combinations that make 10.

2. Record each combination as a number bond diagram (e.g., 6 + 4 = 10).

3. Share findings with the class and discuss different strategies used.

4. Create a drawing of each of the number bonds that make 10.

Final Product

What students will submit as the final product of the activityA visual representation of number bonds to 10, including diagrams and drawings.

Alignment

How this activity aligns with the learning objectives & standardsLays the foundation for 1.NBT.C.4 by introducing basic addition strategies and representing numbers in various ways.

Activity 2

Fact Family Houses

Students build 'Fact Family Houses' to understand the relationship between addition and subtraction within 20. Each house showcases a fact family.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Choose a number between 10 and 20.

2. Identify all the addition and subtraction facts that relate to that number (e.g., for 12: 6+6=12, 7+5=12, 12-6=6, 12-5=7).

3. Draw a 'house' and write the fact family on it.

4. Use manipulatives to prove each fact.

Final Product

What students will submit as the final product of the activityA 'Fact Family House' demonstrating the relationship between addition and subtraction facts for a chosen number.

Alignment

How this activity aligns with the learning objectives & standardsReinforces the relationship between addition and subtraction (1.NBT.C.4) and helps students use fact families to solve problems.

Activity 3

Adding with Base Ten Blocks

Students use base ten blocks to add a two-digit number and a one-digit number, and a two-digit number and a multiple of 10. This activity reinforces place value concepts.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Model a two-digit number using base ten blocks (e.g., 23 = 2 tens and 3 ones).

2. Add a one-digit number or a multiple of 10 to the original number.

3. Combine the blocks and regroup if necessary (e.g., if adding 8 to 23, combine 3 ones with 8 ones to make 11 ones, then regroup 10 ones into 1 ten).

4. Record the addition problem and the solution, explaining the regrouping process.

Final Product

What students will submit as the final product of the activityA written record of addition problems solved using base ten blocks, with explanations of the regrouping process.

Alignment

How this activity aligns with the learning objectives & standardsDirectly addresses 1.NBT.C.4 by adding within 100 using concrete models and explaining the reasoning used.

Activity 4

Number Bond Story Problems

Students create and solve story problems using number bonds. This activity helps them apply their understanding of number bonds to real-world scenarios.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Brainstorm real-world scenarios that involve addition or subtraction (e.g., sharing toys, buying snacks).

2. Write a story problem based on one of the scenarios, including a number bond that represents the problem.

3. Solve the story problem using the number bond and explain the solution.

4. Share the story problem and solution with the class.

Final Product

What students will submit as the final product of the activityA self-created story problem with a corresponding number bond and solution.

Alignment

How this activity aligns with the learning objectives & standardsApplies the understanding of number bonds to solve real-world problems, aligning with 1.NBT.C.4 by relating strategies to written methods and explaining the reasoning used.

Activity 5

Create a Math Game

In groups, students create a math game that helps other students practice number bonds and fact families. The game should include clear rules, instructions, and a way to track progress.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Brainstorm different game ideas that involve number bonds and fact families (e.g., a number bond matching game, a fact family bingo game).

2. Choose a game idea and develop the rules and instructions.

3. Create the game materials (e.g., game board, cards, dice).

4. Play the game with other students and get feedback.

Final Product

What students will submit as the final product of the activityA math game designed to help students practice number bonds and fact families.

Alignment

How this activity aligns with the learning objectives & standardsEncourages students to consolidate their understanding of number bonds and fact families by creating a tool for others to learn, reinforcing 1.NBT.C.4 through practical application.

🏆

Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Number Bonds and Fact Families Portfolio Rubric

Category 1

Conceptual Understanding

Demonstrates understanding of number bonds, fact families, and their relationship to addition and subtraction.

Criterion 1

Number Bond Fluency

Ability to identify and represent number bonds for numbers within 20.

Exemplary

4 Points

Consistently and accurately identifies and represents all possible number bonds for numbers within 20, demonstrating a deep understanding of number relationships. Can extend this understanding to numbers beyond 20.

Proficient

3 Points

Accurately identifies and represents most number bonds for numbers within 20, showing a solid understanding of number relationships.

Developing

2 Points

Identifies and represents some number bonds for numbers within 20, but may have inconsistencies or gaps in understanding.

Beginning

1 Points

Struggles to identify and represent number bonds for numbers within 20, showing limited understanding of number relationships.

Criterion 2

Fact Family Knowledge

Understanding of the relationship between addition and subtraction within a fact family.

Exemplary

4 Points

Demonstrates a comprehensive understanding of fact families, accurately generating all related addition and subtraction equations and explaining the inverse relationship with clarity.

Proficient

3 Points

Demonstrates a good understanding of fact families, accurately generating most related addition and subtraction equations.

Developing

2 Points

Shows an emerging understanding of fact families, generating some related addition and subtraction equations but may have errors or omissions.

Beginning

1 Points

Struggles to understand fact families, with difficulty generating related addition and subtraction equations.

Category 2

Strategic Application

Ability to apply number bonds and fact families to solve addition and subtraction problems within 100.

Criterion 1

Problem-Solving Strategies

Effective use of number bonds and fact families to solve mathematical problems.

Exemplary

4 Points

Consistently and creatively applies number bonds and fact families to solve a variety of complex addition and subtraction problems within 100. Demonstrates flexibility in choosing appropriate strategies.

Proficient

3 Points

Effectively applies number bonds and fact families to solve most addition and subtraction problems within 100.

Developing

2 Points

Applies number bonds and fact families to solve some addition and subtraction problems within 100, but may struggle with more complex problems.

Beginning

1 Points

Struggles to apply number bonds and fact families to solve addition and subtraction problems within 100.

Criterion 2

Regrouping

Understanding and application of regrouping (or composing/decomposing) when adding numbers within 100.

Exemplary

4 Points

Demonstrates a thorough understanding of regrouping, accurately applying it in all addition problems within 100 and explaining the process clearly and concisely.

Proficient

3 Points

Demonstrates a good understanding of regrouping, applying it correctly in most addition problems within 100.

Developing

2 Points

Shows an emerging understanding of regrouping, attempting to apply it in addition problems within 100 but may make errors.

Beginning

1 Points

Struggles to understand and apply regrouping in addition problems within 100.

Category 3

Representation and Communication

Effectively represents mathematical thinking using models, drawings, and written explanations.

Criterion 1

Visual Representation

Use of models and drawings to represent number bonds and fact families.

Exemplary

4 Points

Creates clear, accurate, and creative visual representations of number bonds and fact families, enhancing understanding and communication.

Proficient

3 Points

Creates clear and accurate visual representations of number bonds and fact families.

Developing

2 Points

Creates visual representations of number bonds and fact families, but they may lack clarity or accuracy.

Beginning

1 Points

Struggles to create visual representations of number bonds and fact families.

Criterion 2

Mathematical Communication

Ability to explain mathematical reasoning and solutions clearly and accurately.

Exemplary

4 Points

Explains mathematical reasoning and solutions clearly, accurately, and comprehensively, using appropriate mathematical vocabulary and providing insightful justifications.

Proficient

3 Points

Explains mathematical reasoning and solutions clearly and accurately, using appropriate mathematical vocabulary.

Developing

2 Points

Attempts to explain mathematical reasoning and solutions, but explanations may be unclear or contain inaccuracies.

Beginning

1 Points

Struggles to explain mathematical reasoning and solutions.

Category 4

Real-World Application

Application of number bonds and fact families to real-world scenarios and problem-solving.

Criterion 1

Contextual Problem Solving

Ability to create and solve story problems using number bonds and fact families.

Exemplary

4 Points

Creates and solves complex and relevant story problems using number bonds and fact families, demonstrating a deep understanding of the connection between math and the real world. Shows initiative and creativity in problem creation.

Proficient

3 Points

Creates and solves story problems using number bonds and fact families, demonstrating a good understanding of the connection between math and the real world.

Developing

2 Points

Creates and solves simple story problems using number bonds and fact families, but may struggle with more complex scenarios.

Beginning

1 Points

Struggles to create and solve story problems using number bonds and fact families.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning

Question 1

How has your understanding of number bonds and fact families changed during this project?

Text

Required

Question 2

Which activity (Number Bond Explorers, Fact Family Houses, Adding with Base Ten Blocks, Number Bond Story Problems, Create a Math Game) helped you the most in understanding number bonds and fact families? Explain why.

Text

Required

Question 3

How confident are you in using number bonds and fact families to solve addition problems within 100?

Scale

Required

Question 4

Give an example of how you can use number bonds or fact families in a real-life situation.

Text

Required