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Mathematics
Mathematics is a way of understanding the world. In our modern technological society, an understanding of mathematics is an essential skill. NOCCS’ mathematics curriculum reflects the need to prepare our students to be critical thinkers in an ever-changing society. Instructional emphasis is placed on understanding mathematics and its applications in real-world contexts. Students master mathematical content by applying their knowledge of mathematical problem-solving, processes, and reasoning to other disciplines. The curriculum builds on the philosophy and ideas proposed by the National Council of Teachers of Mathematics and the California State Content Standards.
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Mathematics Outcomes
Students in levels K-5 will be able to do the following:
- Students will demonstrate their ability to communicate effectively by expressing, understanding, interpreting, and evaluating mathematical ideas in written, verbal, or auditory forms. This will include the use of mathematical vocabulary, notation and procedures.
- Students will be motivated to approach mathematical tasks with perseverance and willingness to explore alternative strategies. They will confidently utilize mathematical content, skills and strategies. They will appreciate the role of math in making informed judgments about daily living and societal issues.
- Students will posses and effectively use essential content, concepts, skills, and procedures related to mathematics.
- Students will understand and use the following to formulate and evaluate mathematical conjectures and arguments:
| Numerical relationships |
Logic and reasoning |
| Symbolic relationships |
Probability and statistics |
| Geometric patterns and relationships |
Measurement |
- Students, individually and in group settings, will demonstrate the ability to identify and solve problems using effective strategies and tools that include those developed through technology to verify, interpret and generalize their results.
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Mathematics Program Descriptions
Investigations in Number, Data, and Space is a complete elementary mathematics program developed by the National Council of Teachers of Mathematics. Investigations is designed to help all elementary children understand the fundamental ideas underlying number and arithmetic, geometry, data, measurement, and algebraic thinking.
In each unit, students explore the central topics in depth through a series of investigations encountering and using important mathematical ideas. The mathematical problems in Investigations offer multiple ways into the mathematics accommodating the range of students found in any classroom.
The sequence of activities was carefully evaluated so that it helps students delve deeply into mathematical ideas. In each Investigations unit, students work through a series of in-depth investigations, encountering and using important mathematical ideas. Students engage in mathematical reasoning to solve larger mathematical problems. The investigations allow significant time for students to think about problems and to model, draw, write, and talk about their work with peers as they find ways to solve problems. Students represent their thinking, explain their reasoning, and use mathematical tools and appropriate technology as a natural part of their work.
Mathematics Program Descriptions
Investigations in Number, Data, and Space is a complete elementary mathematics program developed by the National Council of Teachers of Mathematics. Investigations is designed to help all elementary children understand the fundamental ideas underlying number and arithmetic, geometry, data, measurement, and algebraic thinking.
In each unit, students explore the central topics in depth through a series of investigations encountering and using important mathematical ideas. The mathematical problems in Investigations offer multiple ways into the mathematics accommodating the range of students found in any classroom.
The sequence of activities was carefully evaluated so that it helps students delve deeply into mathematical ideas. In each Investigations unit, students work through a series of in-depth investigations, encountering and using important mathematical ideas. Students engage in mathematical reasoning to solve larger mathematical problems. The investigations allow significant time for students to think about problems and to model, draw, write, and talk about their work with peers as they find ways to solve problems. Students represent their thinking, explain their reasoning, and use mathematical tools and appropriate technology as a natural part of their work.
Kindergarten/First Grade:
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Number and Operations
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- Develop a sense of numbers and number words to 100
- Develop meaning for counting by 1s, 2s, 5s and 10s
- Begin to Compare quantities (greater than and less than) with symbols
- Understand the relationship between numbers and quantities
- Demonstrate the meaning of addition and subtraction and use these operations to solve problems
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Data, Geometry, Measurement, Statistics and Probability
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- Develop vocabulary to describe and name 2-D and 3-D shapes
- Sort and classify objects by attributes
- Create, describe and extend patterns
- Begin to develop concepts of time and how to measure time
- Organize, represent, compare data by category on simple graphs and charts
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Second/Third Grade:
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Number and Operations
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- Demonstrates understanding of place value concepts
- Begins to estimate, compute and solve multi-digit problems
- Becomes familiar with structure and patterns of numbers into the 100s
- Explores negative numbers
- Understands multiplication as area and groups
- Understands relationship among whole numbers, simple fractions and decimals
- Readily recalls addition and subtraction facts for double digits.
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Data, Geometry, Measurement, Statistics and Probability
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- Composes and decomposes various 2-D and 3-D shapes
- Uses geometric principles such as congruence and symmetry
- Develops and understanding for perimeter and area
- Uses standard measurement to gather and analyze data
- Identify, describe and classify polygons
- Able to tell time, know relationships of time and determine duration of time in intervals of hours
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Fourth/Fifth Grade:
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Number and Operations
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- Orders and compares whole numbers and decimals to two decimal places
- Readily recalls multiplication and division facts
- Identifies factors of larger numbers
- Develops familiar algorithms for solving multi-digit problems in the four operations
- Computes and solves problems with very large and very small integers, decimals and fractions
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Data, Geometry, Measurement, Statistics and Probability
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- Uses positive and negative coordinates to name and find points on a grid
- Understands perimeter and area
- Makes predictions from given and collected data
- Compare graph shapes to show rates of growth
- Finds sums of angles in regular and non-regular polygons
- Understands concept of volume and area
- Can identify mean, median and mode in a given set
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eated
- Respect school property
- Be responsible
- Have Fun
Bintamal
- Practice being respectful
- Practice being safe
- Have fun
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