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 1 |
1. Review and extend prior learning
2. Demonstrate an understanding of place value
3. Read and write numbers through 50 for objects grouped by tens and ones
4. Read, write, order, and compare numbers through 99
5. Recognize and use ordinal numbers to tenths
6. Count by two's, five's, and ten's
7. Identify fractions of a region or a set
á Thirds
á Fourths
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 1 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate
á Whole numbers
á Addition of one-digit positive numbers with sums less than or equal to 12
á Subtraction of one-digit positive numbers with minuends less than or equal to 12
á Addition of two-digit positive numbers without trading
á Subtraction of two-digit positive numbers without trading
3. Use and apply estimations with
á Quantities
á Computations
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),
Performance Indicators: The learner will·
|
Grade 1 |
1. Review and extend prior learning
2. Count and exchange equivalent quantities of money, using
á Pennies
á Nickels
á Dimes
3. Demonstrate an initial understanding of units of measurement
á Length
á Inches/feet
á Centimeters
á Mass
á Ounces/pounds
á Grams/kilograms
á Time
á Minutes
á Hours
á Days
á Weeks
á Months
á Years
á Temperature
á Degrees
4. Demonstrate an initial understanding of how to use measurement tools and units appropriately
á Length (ruler)
á Mass (scale/balance)
á Volume (teaspoon, cup, etc.)
á Time (clock and calendar)
á Temperature (thermometer)
5. Begin to compare two objects, using measurement tools, according to one or more attributes
á Length (shorter, longer)
á Height (shorter, taller)
á Distance (nearer, farther)
á Mass (heavier, lighter)
á Volume (less, more)
á Time (earlier, later; before, after)
á Temperature (hotter, colder)
6. Tell time to the half hour, using an analog and a digital clock
7. Find the month, day, and year, using a calendar
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 1 |
1. Review and extend prior learning
2. Sort and classify objects according to one or more attributes, including color, size, shape, and thickness
3. Describe and create a variety of patterns
á Linear
á Spatial
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 1 |
1. Review and extend prior learning
2. Create and use an organized list to determine possible outcomes or to solve problems
á Three variations of one attribute, e.g., determine the possible arrangements for a triple ice-cream cone given three flavors of ice cream
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 1 |
1. Review and extend prior learning
2. Draw logical conclusions about mathematics by answering questions such as What do you think the answer is? Why do you think that is a good answer? Why isn't that a good answer?
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 1 |
1. Review and extend prior learning
2. Investigate, identify, and describe various forms of data collection in his/her world
3. Interpret information displayed in an object or picture graph, using the vocabulary more, less, fewer, greater than, less than.
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 1 |
1. Review and extend prior learning
2. Demonstrate an initial understanding of predicting an occurrence, e.g., If there were an apple and an orange in a bag, what are the chances of removing an apple?
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 1 |
1. Review and extend prior learning
2. Use symbols to express numerical relationships
3. Model and solve algebraic equations, using manipulatives
4. Recognize and use algebraic properties
á Zero property/identity property
á Addition
á Subtraction
5. Solve one-step linear word problems by
á Listening to a situation, determining the appropriate operation (addition or subtraction), 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 1 |
1. Review and extend prior learning
2. Identify, describe, and draw representations of plane geometric shapes according to the number of sides, corners, and square corners
3. Identify and describe objects in his/her environment that depict geometric figures
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Developed 07/17/97 Revised 07/08/98 |
curr-math- scope-1.doc |