IXL - Mississippi seventh-grade math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
2007 Mississippi State Frameworks: Pre-Algebra 2007 Mississippi State Frameworks: Pre-Algebra
2007 Mississippi State Frameworks: Seventh Grade 2007 Mississippi State Frameworks: Seventh Grade

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7.NO Number and Operations

7.1 Apply concepts of rational numbers and perform basic operations emphasizing the concepts of ratio, proportion, and percent with and without the use of calculators.
7.1.a Use the order of operations to simplify and/or evaluate whole numbers (including exponents and grouping symbols).
7.1.b Solve problems involving addition, subtraction, multiplication, and division of rational numbers. Express answers in simplest form.
7.1.c Convert among decimals, fractions, mixed numbers, and percents.
7.1.d Evaluate and estimate powers and square roots of real numbers.
7.1.e Explain the relationship between standard form and scientific notation.
- Number theory: Scientific notation (Seventh grade - A.8)
- Number theory: Compare numbers written in scientific notation (Seventh grade - A.9)
7.1.f Multiply and divide numbers written in scientific notation.
- Scientific notation: Multiply numbers written in scientific notation (Eighth grade - G.3)
- Scientific notation: Divide numbers written in scientific notation (Eighth grade - G.4)
7.1.g Solve real-life problems involving unit price, unit rate, sales price, sales tax, discount, simple interest, commission, and rates of commission.
7.1.h Solve contextual problems requiring the comparison, ordering, and application of integers.
7.1.i Develop a logical argument to demonstrate the 'denseness' of rational numbers.

7.ALG Algebra

7.2 Develop and apply the basic operations of rational numbers to algebraic and numerical tasks. Create and apply algebraic expressions and equations.
7.2.a Recognize, describe, and state the rule of generalized numerical and geometric patterns using tables, graphs, words, and symbols.
7.2.b Solve equations that represent algebraic and real-world problems using multiple methods including the real number properties.
7.2.c Formulate algebraic expressions, equations, and inequalities to reflect a given situation and vice versa.
- Variable expressions: Write variable expressions (Seventh grade - U.1)
7.2.d Complete a function table based on a given rule and vice versa.
- Linear functions: Complete a function table (Seventh grade - X.5)
- Linear functions: Write a rule for a function table (Seventh grade - X.6)
7.2.e Identify the following properties using variables and apply them in solving problems:
7.2.e.1 Zero property of multiplication
- Properties: Properties of addition and multiplication (Seventh grade - Y.1)
- Quadratic equations: Solve an equation using the zero product property (Algebra - BB.4)
7.2.e.2 Inverse properties of addition/subtraction and multiplication/division
- Number theory: Multiplicative inverses (Seventh grade - A.3)
- Properties: Properties of addition and multiplication (Seventh grade - Y.1)
7.2.e.3 Commutative and associative properties of addition and multiplication
7.2.e.4 Identity properties of addition and multiplication
7.2.e.5 Distributive properties of multiplication over addition and subtraction.
- Properties: Distributive property (Seventh grade - Y.2)
7.2.f Predict the shape of a graph from a function table.
- Linear functions: Graph a line from a function table (Seventh grade - X.8)
- Linear functions: Graph a line from an equation (Seventh grade - X.9)

7.GEO Geometry

7.3 Apply geometric relationships of angles, two- and three-dimensional shapes, and transformations.
7.3.a Classify and compare three-dimensional shapes using their properties.
- Geometry: Names and bases of 3-dimensional figures (Seventh grade - P.26)
7.3.b Construct two-dimensional representations of three-dimensional objects.
- Geometry: Front, side, and top view (Seventh grade - P.25)
- Geometry: Nets of 3-dimensional figures (Seventh grade - P.27)
7.3.c Justify the congruency or symmetry of two figures.
7.3.d Perform transformations (rigid and non-rigid motions) on two-dimensional figures using the coordinate plane.
7.3.e Create an argument using the Pythagorean Theorem principles to show that a triangle is a right triangle.
- Pythagorean theorem: Converse of the Pythagorean theorem: is it a right triangle? (Seventh grade - R.4)
7.3.f Construct and classify angles.

7.MEA Measurement

7.4 Apply appropriate techniques, tools, and formulas to determine measurements with a focus on real-world problems. Recognize that formulas in mathematics are generalized statements about rules, equations, principles, or other logical mathematical relationships.
7.4.a Convert from one unit to another, perform basic operations, and solve real-world problems using standard (English and metric) measurements within the same system.
7.4.b Use formulas and strategies, such as decomposition, to compute the perimeter and area of triangles, parallelograms, trapezoids, the circumference and area of circles, and find the area of more complex shapes.
7.4.c Develop and justify geometric formulas for volume and surface area of cylinders, pyramids, and prisms.
- Geometry: Surface area (Seventh grade - P.28)
- Geometry: Volume (Seventh grade - P.29)
7.4.d Solve problems involving scale factors using ratios and proportions.

7.DAP Data Analysis & Probability

7.5 Organize and interpret data. Analyze data to make predictions.
7.5.a Use proportions, estimates, and percentages to construct, interpret, and make predictions about a population based on histograms or circle graph representations of data from a sample.
7.5.b Determine how outliers affect mean, median, mode, or range.
7.5.c Construct and interpret line graphs, frequency tables, circle graphs, box-and-whisker plots, and scatter plots to generalize trends from given data.
7.5.d Determine probabilities through experimentation, simulation, or calculation. (Note: Make and test conjectures and predictions by calculating the probability of an event.)