Course Description by Grade
Textbook: Investigations
Course Name: Mathematics Grade K
Developmental Level: Grade K
Assessment: Assessment tasks, Portfolio
Description:
Students will gain a better understanding of mathematics as they solve problems, reason mathematically, prove
mathematical relationships, participate in mathematical discourse, make mathematical connections, and model and
represent mathematical ideas in a variety of ways.
In kindergarten, students begin developing the concept of number by counting, representing and ordering, combining, sorting, and comparing sets of objects. They understand addition as putting sets together. In describing and identifying objects based on attributes and recognizing and describing simple repeating patterns, students develop a beginning sense of geometry and algebra. They also develop an understanding of the relationship between data and picture representations of the data.
Course Name: Mathematics Grade 1
Developmental Level: Grade 1
Assessment: Assessment tasks, portfolio
Description:
Students will gain a better understanding of mathematics as they solve problems, reason mathematically, prove
mathematical relationships, participate in mathematical discourse, make mathematical connections, and model and
represent mathematical ideas in a variety of ways.
In first grade, students count, sort, and compare sets, understanding the relative values of numbers. Students understand subtraction as separating or undoing addition and expand their understanding of number through application of basic addition and subtraction facts. Students read a clock, work with two-dimensional figures, and use nonstandard units to measure. They also develop their understanding of statistics by organizing and interpreting data. They recognize and describe simple repeating and growing patterns to develop their algebraic sense.
Course Name: Mathematics Grade 2
Developmental Level: Grade 2
Assessment: Assessment tasks, portfolio
Description:
Students will gain a better understanding of mathematics as they solve problems, reason mathematically, prove
mathematical relationships, participate in mathematical discourse, make mathematical connections, and model and
represent mathematical ideas in a variety of ways.
In second grade, students expand their understanding of numbers to include three-digit numbers. They continue to gain proficiency in the addition and subtraction of two digit numbers and expand concepts in measurement, using procedures to find measures (time, weight). By interpreting and creating pictographs, students further develop their early understanding of statistics. Students also work with a variety of patterns and use symbols to describe numerical relationships.
Course Name: Mathematics Grade 3
Developmental Level: Grade 3
Assessment: Assessment tasks, portfolio
Description:
Students will gain a better understanding of mathematics as they solve problems, reason mathematically, prove
mathematical relationships, participate in mathematical discourse, make mathematical connections, and model and
represent mathematical ideas in a variety of ways.
In third grade, students develop their fluency with addition and subtraction, while beginning to understand
multiplication and division as repeated addition and subtraction, respectively. Students use standard units of
measure for temperature, length, liquid volume, and weight. Students gain a broader understanding of
geometry by identifying properties of shapes. Algebraic sense grows through their understanding of equality.
Course Name: Mathematics Grade 4
Developmental Level: Grade 4
Assessment: Assessment tasks, portfolio
Description:
Students will gain a better understanding of mathematics as they solve problems, reason mathematically, prove
mathematical relationships, participate in mathematical discourse, make mathematical connections, and model and
represent mathematical ideas in a variety of ways.
In fourth grade, students become proficient with multiplication and division of whole numbers, while developing an
understanding of fractions and decimals. They apply procedures to measure a variety of geometric figures and collect, display, and analyze data. In measurement, they develop an understanding of perimeter and area. Students refine their estimation skills for computation and measurement and develop an understanding of the relationships between and among two-dimensional (plane) figures. They read and interpret line graphs and are introduced to the metric system. Students evaluate open sentences with one operation and analyze patterns.
Course Name: Mathematics Grade 5
Developmental Level: Grade 5
Assessment: Assessment tasks, portfolio
Description:
Students will gain a better understanding of mathematics as they solve problems, reason mathematically, prove
mathematical relationships, participate in mathematical discourse, make mathematical connections, and model and
represent mathematical ideas in a variety of ways.
In fifth grade, students become proficient in comparing and ordering decimals and fractions. They graph points in the first quadrant on a coordinate plane and extend and duplicate patterns. They calculate perimeters of basic shapes drown on a coordinate plane. The concept of probability as chance is developed and fifth graders continue to expand their understanding of statistics using graphing and measures of central tendency. They further develop algebraic sense through the translating variable expressions and evaluating open sentences.
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