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Grade 7

Standard 1: Understands various strategies and processes used to solve problems and to communicate mathematical ideas
7.1.1 Uses a variety of strategies to understand problem-solving situations and processes (e.g., guess and check, simpler numbers, patterning, estimation, etc.)
7.1.2 Understands the role of written symbols in representing mathematical ideas and the use of precise vocabulary in conjunction with the special symbols of mathematics (e.g., is greater than, is less than, is greater than or equal to, is less than or equal to, is approximate to, is not equal to)

Standard 2: Understands the concepts of numbers, numeration, and number theory
7.2.1 Understands the advantages and disadvantages of different number representations and the relationships among equivalent forms (e.g., whole numbers, integers, fractions, ratios, decimals, percents, scientific notation, and exponents)
7.2.2 Understands the uses of exponents and scientific notation

Standard 3: Understands number operations and the processes of computation
7.3.1 Adds, subtracts, multiplies, and divides whole numbers, common fractions, decimals, integers, and rational numbers
7.3.2 Uses the order of operations, including grouping symbols, to simplify expressions

Standard 4: Understands the concepts of measurement
7.4.1 Selects an appropriate unit and tool, depending on degree of accuracy required, to find a measurement (e.g., to sixteenths, mm)
7.4.2 Makes basic comparison and conversions between units within the measurement system
7.4.3 Understands formulas for measuring area (e.g., triangles, parallelograms), and volume of a cube
 
Standard 5: Understands the concepts of geometry and spatial sense
7.5.1 Understands the defining properties of two and three-dimensional figures (e.g., a cube has edges with equal lengths, faces with equal areas, congruent shapes, and right angle corners)

Standard 6: Understands the concepts of statistics, data analysis, and probability
7.6.1 Understands the connection between the numerical representation of a probability and the events that produce the numbers between 0 and 1
7.6.2 Determines probability of a single event mathematically/ theoretically (e.g., by building a table or tree diagram, creating an area model, making a list, using counting procedures), experimentally, or by simulation, and compares the relative advantages of each method

Standard 7: Understands the properties of patterns and functions and the concepts of algebra
7.7.1 Understands that patterns and functions can be expressed in a variety of ways (e.g., graph, table of data, algebraic expression, verbal description, Venn diagram)
7.7.2 Solves one-step linear equation



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