School Administrative District #4
Unity of purpose
CORE CURRICULUM: SCOPE AND SEQUENCE
Department: Mathematics
CONTENT STANDARD: NUMBERS AND NUMBER SENSE
Students will understand and demonstrate a sense of what numbers mean and how they are used. Numbers are used to describe and interpret phenomena. Building a sense of number relationships is essential for developing the ability to deal with any set of numbers. Number sense involves understanding the meaning of numbers, relationships among numbers, relative number magnitudes, and the effects of operations on numbers. Skilled estimation is also an important component of number sense.
Performance Indicators: The learner will·
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Grade 3 |
1. Review and extend prior learning
2. Read, write, order, compare, and explain numbers through four digits
3. Read and write money notation through four digits
4. Recognize and use ordinal numbers through fortieth
5. Read, write, and explain simple fractions through tenths
6. Read, write, and explain decimals through tenths
CONTENT STANDARD: COMPUTATION
Students will understand and demonstrate computation skills. Computation involves understanding the fundamental operations of and relationships between and among addition, subtraction, multiplication, and division. Proficiency in computational skills requires that students learn to evaluate the reasonableness of an answer and to obtain accuracy in calculations with ever-increasing ease and confidence, with and without technological tools.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate
á Whole numbers
á Addition of three or more two-digit positive numbers
á Addition of two four-digit positive numbers
á Subtraction of three-digit positive numbers
á Subtraction of four-digit positive numbers
á Multiplication of one-digit positive numbers from 6 to 10
á Multiplication of two-digit positive numbers by one-digit positive numbers
á Division with quotients and divisors less than or equal to 9 without remainders
á Division by one-digit positive numbers with and without remainders
á Money notation
á Subtraction, e.g., $3.55 - $2.30 = $1.25
3. Memorize basic facts related to
á Addition up to 9 + 9
á Subtraction up to 18 - 9
4. Demonstrate an initial understanding of rounding numbers
5. Demonstrate and explain computations
á Using appropriate tools and technology
6. Solve real-life problems involving
á Addition of whole numbers
á Subtraction of whole numbers
CONTENT STANDARD: MEASUREMENT
Students will understand and demonstrate measurement skills. Measurement is valuable as an integrating skill throughout the curriculum and in everyday life. The use of estimation is vital in determining the reasonableness of measurement. Measurement attributes (e.g., length, volume, time), U.S. customary and metric units, and tools enhance the ability to describe and understand the world.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Count and exchange equivalent quantities of money, using
á Dollars
3. Demonstrate an initial understanding of units of measurement
á Length
á Miles
á Kilometers
4. Demonstrate an initial understanding of units, square units, and cubic units
5. Estimate and measure
á Length
á Mass
á Volume
á Time
á Temperature
6. Identify equivalent periods of time (e.g., seven days equal one week, sixty minutes equal one hour)
7. Tell time to the nearest five minutes, using an analog and a digital clock
CONTENT STANDARD: PATTERNS, RELATIONS, AND FUNCTIONS
Students will understand that mathematics is the science of patterns, relationships, and functions. Relationships are central to mathematical understanding. A study of patterns often reveals regularity, indicating the presence of a mathematical relationship. Studying relationships allows students to make generalizations and predictions about phenomena and occurrences.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Recognize, describe, and extend a variety of relationships using variables (e.g., if John earns two cents per day, how many days will it take to earn sixteen cents?)
3. Recognize and describe the relationship between addition and subtraction
4. Demonstrate an initial understanding of the relationship between
á Addition and multiplication
á Multiplication and division
CONTENT STANDARD: DISCRETE MATHEMATICS
Students will understand and apply concepts in discrete mathematics. Discrete mathematics studies discrete processes (e.g., all possible bus routes in a school district). This study includes the exploration of diagrams, networks, and flowcharts that students construct to model situations or use for planning, scheduling, and decision making. Three main concerns of discrete mathematics are existence (Is there a solution?), counting (How many solutions are there?), and efficiency (What is the best solution?).
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Create and use
á Organized lists
á Tree diagrams
3. Demonstrate an initial understanding of infinity
CONTENT STANDARD: MATHEMATICAL REASONING
Students will understand and apply concepts of mathematical reasoning. Reasoning is fundamental to the knowing and doing of mathematics. To give more students access to mathematics as a powerful way of making sense of the world, it is essential that an emphasis on reasoning pervade all mathematics. Students need a great deal of time and many experiences to develop their ability to construct and evaluate valid arguments in problem settings and to evaluate the arguments of others.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Follow logical arguments
á Demonstrate an understanding that support for a claim should be based on evidence of various types (e.g., from logical processes, from measurement, or from observation and experimentation)
CONTENT STANDARD: DATA ANALYSIS AND STATISTICS
Students will understand and apply concepts of data analysis. Individuals are faced with massive quantities of information which must be selected, sorted, and analyzed to reach conclusions. Sound decision making requires the ability to collect data effectively, organize data, discover patterns, summarize trends, make inferences, draw conclusions, and make predictions. The ethical use of statistics is a paramount concern in the Information Age.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Given grid paper, collect data on a given topic of his/her choice and construct a bar graph (with title and key) showing the results
3. Make generalizations and draw conclusions using various types of graphs, charts, and tables
CONTENT STANDARD: PROBABILITY
Students will understand and apply concepts of probability. Probability is the study of uncertainty. Informed consumers of information understand the basic principles of probability. People need to understand the uncertainties and limitations involved when drawing conclusions from data.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Investigate and describe the concept of probability as chance, and list possible results of a given situation
CONTENT STANDARD: ALGEBRA CONCEPTS
Students will understand and apply algebraic concepts. Algebra and analytic thinking are fundamental tools for working in and thinking about mathematics. These tools provide ways to generalize and predict problem solutions when not all information is known. Taught within the context of mathematical and practical applications, the concept of functions is a unifying theme for algebraic concepts.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Demonstrate an initial understanding of a variable by
á Describing the concept of a variable
á Using a variable to represent a given verbal quantitative expression, involving one operation
á Writing an expression, using a variable to represent a given mathematical relationship
3. Recognize and use algebraic properties
á Identity property
á Multiplication
á Division
á Zero property
á Multiplication
á Division
á Commutative property for
á Multiplication
4. Solve one-step linear word problems by
á Reading about a situation, determining the appropriate operation (addition, subtraction, multiplication or division), and solving for an unknown, using manipulatives
CONTENT STANDARD: GEOMETRY
Students will understand and apply concepts from geometry. Geometry is the study of the spatial world and its symmetries. The ideas of geometry are used to describe, interpret, represent, and change the spatial world in which people live. The understanding and development of spatial and visual skills strengthens problem-solving abilities.
Performance Indicators: The learner will·
|
Grade 3 |
1. Review and extend prior learning
2. Analyze plane geometric figures and identify relevant properties, including the number of angles, square angles, and segments
3. Given appropriate drawings or models, identify and describe congruent, symmetrical, and similar two-dimensional figures, using tracing procedures
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Developed 07/17/97 Revised 07/08/98 |
curr-math-scope-3.doc |