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# Unit Plan: Fractions

##### Big Ideas
• Mixed numbers and decimal numbers represent quantities that can be decomposed into parts and wholes. (Grade 6)
• Decimals, fractions, and percents are used to represent and describe parts and wholes of numbers. (Grade 7)

Concepts:

• Relationships
• Quantity
• Space
##### Essential Questions

Students will keep considering…

• How do fractions show relationships?
##### Evaluative Criteria
• Quizzes of specific skills
• Diamond papers linked to curricular competencies (see learning plan)
• Unit test with computation based questions (i.e. making equivalent fractions, converting between mixed numbers and improper fractions, comparing and ordering)
##### Monitoring Progress

Teacher will monitor progress:
Teachers can monitor progress through ongoing formative assessment including but not limited to:

• Check ins
• Teacher observation
• Homework

ONLINE RESOURCES

##### Reflection

How will teachers and their students reflect on and evaluate the completed project?

Teacher Reflection

• What aspects of the unit went well?
• What did students struggle with?
• What did you struggle with?
• What would you add/revise the next time you taught this unit?
• Were there any unintended outcomes?
• Were students engaged?

# Stage 1 – Desired Results

##### Big Ideas
• Mixed numbers and decimal numbers represent quantities that can be decomposed into parts and wholes. (Grade 6)

• Decimals, fractions, and percents are used to represent and describe parts and wholes of numbers. (Grade 7).

Concepts:

• Relationships
• Quantity
• Space
##### Transfer Goals

Students will be able to independently use their learning to…

• Recognize relationships in other contexts.
##### Meaning

UNIT UNDERSTANDINGS:

Students will understand that…

• Fractions show parts and wholes.
• Fractions represent a quantity.
• Equivalent fractions take up the same amount of space.
• Fractions show relationships.

ESSENTIAL QUESTIONS:

Students will keep considering…

• How do fractions show relationships?

##### Acquisition

CURRICULAR COMPETENCIES

Students will be skilled at…

REASONING & ANALYZING

• Use reasoning and logic to explore, analyze, and apply mathematical ideas
• Demonstrate and apply mental math strategies
• Model mathematics in contextualized experiences

UNDERSTANDING & SOLVING

• Apply multiple strategies to solve problems in both abstract and contextualized situations
• Visualize to explore mathematical concepts

COMMUNICATING & REPRESENTING

• Use mathematical vocabulary and language to contribute to mathematical discussions
• Explain and justify mathematical ideas and decisions
• Represent mathematical ideas in concrete, pictorial, and symbolic forms

CONNECTING & REFLECTING

• Connect mathematical concepts to each other and to other areas and personal interests

CONTENT

Students will know…

• Improper fractions and mixed numbers
• Multiplication and division facts to 100
• Increasing and decreasing patterns
• Factors and multiples (greatest common factor and least common multiple)

CORE COMPETENCIES

Which Core Competencies will be integrated into the unit?

Positive Personal & Cultural Identity

• Self-determination
• Well being
• Solving problems in peaceful ways
• Building relationships
• Contributing to community and caring for the environment

Communication

• Connect and engage with others (to share and develop ideas)

Critical Thinking

• Develop and design
• Question and investigate
• Analyze and critiquenalyze and critique
• Generating ideas
• Developing ideas

##### Big Ideas

The Big Ideas consist of generalizations and principles and the key concepts important in an area of learning. The Big Ideas represent what students will understand at the completion of the curriculum for their grade. They are intended to endure beyond a single grade and contribute to future understanding.

##### Core Competencies

Communications Competency

The set of abilities that students use to impart and exchange information, experiences and ideas, to explore the world around them, and to understand and effectively engage in the use of digital media

Thinking Competency

The knowledge, skills and processes we associate with intellectual development

Social Competency

The set of abilities that relate to students’ identity in the world, both as individuals and as members of their community and society

##### Curricular Competencies & Content

Curricular Competencies are the skills, strategies, and processes that students develop over time. They reflect the “Do” in the Know-Do-Understand model of curriculum. The Curricular Competencies are built on the thinking, communicating, and personal and social competencies relevant to disciplines that make up an area of learning.