Addition Strategies Exploration
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Addition Strategies Exploration

Grade 1Math1 days
In this project, first-grade students explore various addition strategies to develop proficiency in adding numbers within 100. Using an inquiry framework, students engage with essential questions about place value and practical problem-solving methods, supported by hands-on activities like a 'Classroom Bakery' and a 'Math Treasure Hunt'. The project emphasizes strategy explanation through individual and collaborative tasks, while students document their learning experiences and reflect on their strategies and understanding through written and verbal communication.
Addition StrategiesPlace ValueHands-on LearningCollaborationMathematical ReasoningProblem Solving
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we become addition experts by discovering and using different strategies to add numbers within 100?

Essential Questions

Supporting questions that break down major concepts.
  • What are different strategies to add numbers within 100?
  • How can understanding place value help in solving addition problems?
  • Why is it important to be able to add numbers in different ways?
  • How can breaking numbers into tens and ones make addition easier?
  • In what ways do concrete models and drawings support the addition process?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Students will be able to use a variety of strategies to add two-digit numbers to one-digit numbers and multiples of ten.
  • Students will demonstrate an understanding of place value to aid in the addition of numbers within 100.
  • Students will be able to explain their addition strategies and reasoning both verbally and through written methods.
  • Students will use concrete models and drawings to visualize the addition process and improve problem-solving skills.

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 used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.Reason: This standard directly pertains to the project's focus on teaching students to add numbers within 100 using various strategies and understanding place value.

Entry Events

Events that will be used to introduce the project to students

Classroom Bakery

Turn the classroom into a bakery where students 'bake' orders by adding ingredients correctly using various strategies. This hands-on experience links math with everyday life situations like following recipes and making correct measurements, appealing to their interest in cooking and creativity.

Math Treasure Hunt

Set up a treasure hunt around the school where each clue leads to a location and an addition problem that needs solving using different strategies. Students work in groups, applying place value or drawings to unlock the next location, making the connection between math strategies and solving real-world puzzles.
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Portfolio Activities

Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.
Activity 1

Explaining Experts

This activity focuses on students explaining their reasoning and strategies, both verbally and through written methods, thus solidifying their understanding and communication skills.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Provide students with an addition problem and ask them to solve it using any method of their choice.
2. Have students write a sentence or paragraph explaining how they solved the problem and why they chose their method.
3. Organize a 'math talk' session where students present their methods and reasoning to the class.

Final Product

What students will submit as the final product of the activityA collection of student explanations and math talk videos showcasing different strategies and reasoning.

Alignment

How this activity aligns with the learning objectives & standardsEmphasizes the standard's aspect of explaining reasoning used in written methods and aligns with verbal expression of mathematical processes.
Activity 2

Strategy Swap Shop

Students will learn and practice different strategies for addition by teaching one another, reinforcing their understanding and ability to articulate mathematical reasoning.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Gather students in pairs and assign different addition strategies to each pair (e.g., place value, counting on fingers, using a number line).
2. Allow students time to explore their assigned strategy and solve example problems.
3. Have each pair teach their assigned strategy to another pair.
4. Rotate pairs so each student experiences learning and teaching multiple strategies.

Final Product

What students will submit as the final product of the activityA class strategy booklet where each child contributes a page describing and illustrating an addition strategy.

Alignment

How this activity aligns with the learning objectives & standardsAddresses the standard's requirement by using a variety of strategies based on place value and operational properties.
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Addition Strategies Mastery Rubric

Category 1

Understanding of Addition Strategies

Assess students' understanding and application of different addition strategies within 100, focusing on place value and operational properties.
Criterion 1

Variety of Strategies

Evaluate the range of addition strategies a student can employ to solve problems within 100.

Exemplary
4 Points

Utilizes a wide range of addition strategies, demonstrating a strong understanding of place value and operational properties.

Proficient
3 Points

Uses multiple addition strategies, showing a solid grasp of place value and operational properties.

Developing
2 Points

Employs a limited number of addition strategies with some understanding of place value.

Beginning
1 Points

Struggles to apply addition strategies and demonstrates minimal understanding of place value.

Criterion 2

Accuracy in Problem Solving

Assess the student's accuracy in solving addition problems using their chosen strategies.

Exemplary
4 Points

Consistently solves addition problems accurately with a high level of precision using different strategies.

Proficient
3 Points

Solves most addition problems accurately using chosen strategies, with minor errors.

Developing
2 Points

Solves some addition problems correctly, but accuracy is inconsistent.

Beginning
1 Points

Struggles to solve addition problems accurately, displaying frequent errors.

Criterion 3

Explanation and Reasoning

Evaluate the student's ability to clearly explain their reasoning and the methods used to solve addition problems.

Exemplary
4 Points

Provides clear, thorough explanations of reasoning and methods, showing deep understanding and effective communication.

Proficient
3 Points

Offers adequate explanations of reasoning and methods, demonstrating understanding and communication skills.

Developing
2 Points

Offers basic explanations that demonstrate some understanding but lack depth and clarity.

Beginning
1 Points

Struggles to explain reasoning and methods, showing minimal understanding or communication.

Category 2

Collaboration and Participation

Assess the student's engagement and contribution in collaborative activities related to learning and teaching addition strategies.
Criterion 1

Active Participation

Evaluate the studentโ€™s engagement in group activities and discussions about addition strategies.

Exemplary
4 Points

Demonstrates leadership and contributes insightful ideas during group activities, actively engaging peers in discussions.

Proficient
3 Points

Actively participates in group activities, contributing ideas and engaging in discussions.

Developing
2 Points

Participates in group activities with prompting, contributing some ideas.

Beginning
1 Points

Rarely participates or contributes during group activities.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning
Question 1

Reflect on the different addition strategies you learned throughout the project. Which strategy did you find the most useful and why?

Text
Required
Question 2

On a scale of 1 to 5, how comfortable do you feel using different strategies to add numbers within 100?

Scale
Required
Question 3

Why is it important to understand place value when adding numbers? Choose the best reason from the options below:

Multiple choice
Required
Options
It helps break down numbers into tens and ones for easier addition.
It allows for more efficient mental calculations.
Understanding place value is essential for solving other types of math problems.
Place value simplifies the process of carrying over numbers.
Question 4

In what way did the 'Classroom Bakery' or 'Math Treasure Hunt' activity help you understand addition strategies better?

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Optional
Question 5

Was there a moment in the 'Explaining Experts' or 'Strategy Swap Shop' activity that changed how you think about math strategies? If so, describe it.

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Optional