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NE.MA 7.1. Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 7.1.1. Number System: Students will represent and show relationships among rational numbers.
MA 7.1.1.a. Show equivalence among fractions, decimals, and percents
MA 7.1.1.b. Compare and order rational numbers (e.g., fractions, decimals, percents)
MA 7.1.1.c. Represent large numbers using scientific notation
MA 7.1.2. Operations: Students will demonstrate the meaning of arithmetic operations with positive fractions, decimals, and integers.
MA 7.1.2.a. Use drawings, words, and symbols to explain the meaning of multiplication and division of fractions (e.g., 2/3 x 6 as two-thirds of six, or 6 x 2/3 as 6 groups of two-thirds, or 6 / 2/3 as how many two-thirds there are in six.)
MA 7.1.2.b. Use drawings, words, and symbols to explain the meaning of multiplication and division of decimals
MA 7.1.2.c. Use drawings, words, and symbols to explain the addition and subtraction of integers
MA 7.1.3. Computation: Students will compute fluently and accurately using appropriate strategies and tools.
MA 7.1.3.a. Compute accurately with integers
MA 7.1.3.c. Solve problems involving percent of numbers (e.g., percent of, % increase, % decrease)
NE.MA 7.2. Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 7.2.1. Characteristics: Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.
MA 7.2.1.a. Identify and describe similarity of two-dimensional shapes using side and angle measurements
MA 7.2.1.b. Name line, line segment, ray, and angle
MA 7.2.2. Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry.
MA 7.2.2.a. Plot the location of an ordered pair in the coordinate plane
MA 7.2.2.b. Identify the quadrant of a given point in the coordinate plane
MA 7.2.3. Transformations: Students will use transformations and symmetry to analyze geometric shapes.
MA 7.2.3.a. Identify lines of symmetry for a reflection
MA 7.2.3.b. Perform and describe positions and orientation of shapes under a single transformation (e.g., translation, rotation, reflection) on a coordinate plane
MA 7.2.5. Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.
MA 7.2.5.a. Measure angles to the nearest degree
MA 7.2.5.b. Determine the area of trapezoids and circles, and the circumference of circles
NE.MA 7.3. Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 7.3.1. Relationships: Students will represent and analyze relationships using algebraic symbols.
MA 7.3.1.a. Describe and create algebraic expressions from words, tables, and graphs
MA 7.3.2. Modeling in Context: Students will create, use, and interpret models of quantitative relationships.
MA 7.3.2.a. Model contextualized problems using various representations (e.g., one-step/variable expressions, one-step/variable equations)
MA 7.3.2.b. Represent a variety of quantitative relationships using algebraic expressions and one-step equations
MA 7.3.3. Procedures: Students will apply properties to solve equations and inequalities.
MA 7.3.3.b. Use symbolic representation of the distributive property (e.g., 2(x + 3) = 2x + 6)
MA 7.3.3.c. Given the value of the variable(s), evaluate algebraic expressions with respect to order of operations
MA 7.3.3.d. Solve two-step equations involving integers and positive rational numbers
MA 7.3.3.e. Solve one-step inequalities involving positive rational numbers
MA 7.3.3.f. Identify and explain the properties used in solving two-step equations (e.g., addition, subtraction, multiplication and division)
NE.MA 7.4. Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 7.4.1. Display and Analysis: Students will formulate questions that can be addressed with data and then organize, display, and analyze the relevant data to answer their questions.
MA 7.4.1.a. Analyze data sets and interpret their graphical representations
MA 7.4.1.b. Find and interpret mean, median, mode, and range for sets of data
MA 7.4.3. Probability: Students will apply and interpret basic concepts of probability.
MA 7.4.3.a. Find the probability of independent compound events (e.g., tree diagram, organized list)
MA 7.4.3.b. Compare and contrast theoretical and experimental probabilities
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