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·
|
Grade 4 |
1. Review and extend prior learning
2. Read, write, order, compare, and explain numbers through six digits
3. Read, write, and use Roman numerals involving combinations of
á I
á V
á X
4. Compare and order simple fractions through tenths
5. Read, write, compare, order, and explain decimals through hundredths
6. Demonstrate knowledge of the meaning and use of whole numbers, fractions, and decimals
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 4 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate
á Whole numbers
á Multiplication of three-or-more-digit positive numbers by two-digit positive numbers
á Division by two-digit positive numbers
á Fractions
á Addition with like denominators
á Subtraction with like denominators
3. Memorize basic facts related to
á Multiplication up to 5 x 10
4. Round numbers to the nearest
á Ten
á Hundred
5. Demonstrate an initial understanding of rounding numbers to the nearest
á Thousand
6. Demonstrate an initial understanding of the order of operations
7. Demonstrate and explain computations
á Defending the reasonableness of a result/answer
8. Use estimation to determine the reasonableness of a result/answer
9. Solve real-life problems involving
á Addition and subtraction of simple fractions with like denominators
á Multiplication of whole numbers
á Division 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 4 |
1. Review and extend prior learning
2. Understand and use units of measure in both U.S. customary units and the metric system
3. Demonstrate an initial understanding of reading and using the scale of a drawing
á Find distances and directions on a land map
4. Tell time to the nearest minute, 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 4 |
1. Review and extend prior learning
2. Recognize and describe the relationship between
á Addition and multiplication
á Multiplication and division
3. Demonstrate an initial understanding of the relationship between
á Subtraction and division
4. Use the patterns of numbers, geometry, and/or graphs to solve a problem
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 4 |
1. Review and extend prior learning
2. Create and use
á Venn diagrams
á Networks (e.g., routes, pathways, etc.)
3. Give examples of infinite and finite solutions
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 4 |
1. Review and extend prior learning
2. Follow logical arguments
á Justify his/her answers and solution processes
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 4 |
1. Review and extend prior learning
2. Collect, organize, display, and interpret data in a variety of graphical forms
á Bar graph
á Line graph
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 4 |
1. Review and extend prior learning
2. Determine the probability of a given simple event, using manipulatives
3. Solve problems involving the probability of a single event by using tree diagrams or by constructing a sample space representing all possible results
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 4 |
1. Review and extend prior learning
2. Identify and locate missing whole numbers on a given number line
3. Identify and graph ordered pairs in Quadrant I of a coordinate plane
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 an equation
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 4 |
1. Review and extend prior learning
2. Analyze solid geometric figures and identify relevant properties, including the number of faces, vertices, and edges
3. Distinguish between and use the appropriate symbols for
á Points
á Segments
á Rays
á Lines
á Parallel lines
á Perpendicular lines
á Angles
á Right
4. Investigate and describe the relationship between and among points, lines, line segments, and rays
5. Identify and draw representations of
á Points
á Lines
á Line segments
á Rays
á Angles
6. Use transformations such as slides, flips, and rotations
7. Use the properties of shapes and figures to describe the physical world
8. Find the perimeter of polygons, given the lengths of sides
á Triangles
á Squares
á Rectangles
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Developed 07/17/97 Revised 07/08/98 |
curr-math-scope-4.doc |