Curriculum, Instruction and Assessment
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District Math Vision
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Crystal Lake Elementary District 47 maintains a well-developed and meaningful mathematics curriculum for all learners. Communication and collaboration of this vision among our educators, students and parents fosters mathematical success for ALL students and benefits our community. This balanced, research-based curriculum encourages students to:
1. Understand and Apply Content Standards
Elementary Level
- Counting and Cardinality (K)
- Operations and Algebraic Thinking (K–5)
- Number and Operations in Base Ten (K–5)
- Number and Operations – Fractions (3–5)
- Measurement and Data (K–5)
- Geometry (K–5)
Middle School Level
- Ratios and Proportional Relationships (6–7)
- The Number System (6–8)
- Expressions and Equations (6–8)
- Functions (8)
- Geometry (6–8)
- Statistics and Probability (6–8)
2. Understand and Apply the Standards for Mathematical Practice
- Make sense of problems and persevere in solving them
- Reason abstractly and quantitatively
- Construct viable arguments and critique the reasoning of others
- Model with mathematics
- Use appropriate tools strategically
- Attend to precision
- Look for and make use of structure
- Look for and express regularity in repeated reasoning
3. Retain, Connect and Apply Mathematics through Exploration, Discovery, and Practice
- Develop conceptual Depth of Knowledge
- Engage in mathematical thinking across the curriculum
- Understand that more than one strategy could be used to solve a problem
- Connect prior learning and future experiences for college and career readiness
4. Communicate and Explain Mathematics
- Use and apply mathematical vocabulary across the curriculum
- Create graphic and illustrative formats
- Justify the process and conclusion using verbal, written, and technological formats
5. Utilize a Variety of Tools and Resources
- Explore, integrate, and accurately use tools to solve problems
- Extend the understanding of concepts
6. Appreciate and Value Mathematics
- Instill confidence and perseverance
- Create life-long learners and problem-solvers
- Develop educated global consumers
- Apply mathematical practices to everyday life
- Demonstrate life skill competency