7.1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
7.1.1.c: develop meaning for square roots;
7.1.1.f: represent equivalent numbers using a variety of forms (i.e., whole numbers, fraction, decimals, percents);
7.1.1.g: compare fractions, decimals, percents, and integers using the appropriate symbol (i.e., <, >, =);
7.1.1.h: connect whole numbers, fractions, decimals, percents, and integers to locations on the number line;
7.1.1.i: develop meaning for percents greater than 100 and less than one;
7.1.1.j: understand and use ratios and proportions to represent quantitative relationships;
7.1.1.m: apply number theory concepts to solve problems (e.g., divisibility, factors, multiples, composite numbers, prime factorization, relatively prime).
7.1.2: Understand operations and how they relate to one another.
7.1.2.a: understand the meaning and effects of arithmetic operations with fractions and decimals;
7.1.2.b: use models to demonstrate meaning and effects of arithmetic operations with integers;
7.1.2.c: apply the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals;
7.1.2.d: apply order of operations when computing with whole numbers, decimals, and fractions;
7.1.2.e: understand and use the inverse relationships of addition and subtraction and multiplication and division to simplify computations and solve problems.
7.1.3: Solve problems, compute fluently, and make reasonable estimates.
7.1.3.b: analyze procedures for computing with fractions, decimals, and integers;
7.1.3.c: use strategies to estimate the results of rational number computations in real-world situations;
7.1.3.e: solve two-step real-world problems involving whole numbers, fraction, decimals, and percents;
7.1.3.f: develop methods for solving problems involving proportions (e.g., scaling, finding equivalent ratios).
7.2.1: Understand patterns, relations, and functions.
7.2.1.a: represent, analyze, and extend geometric and numerical patterns;
7.2.1.b: develop understanding for arithmetic sequences;
7.2.1.c: use tables, graphs, and symbolic rules to generalize patterns in data;
7.2.2: Represent and analyze mathematical situations and structures using algebraic symbols.
7.2.2.a: demonstrate understanding of different uses of variables;
7.2.2.c: translate one-variable verbal and written expressions into algebraic expressions;
7.2.2.e: connect formal and informal methods to solve one-step linear equations;
7.2.2.f: identify whole numbers that satisfy a given one-variable inequality;
7.2.2.g: model algebraic equations with manipulatives, technology, and pencil and paper;
7.2.2.h: solve real-world problems involving one-step linear equations;
7.2.2.i: explore relationships between symbolic expressions and graphs of lines.
7.2.3: Use mathematical models to represent and understand quantitative relationships.
7.2.3.a: create a scatterplot to represent data presented in tabular form;
7.2.3.b: describe the relationship between two quantities represented in a scatterplot.
7.2.4: Analyze change in various contexts.
7.2.4.a: describe how changes in one quantity or variable result in changes in another;
7.3.1: Analyze characteristics and properties of two- and three-dimensional geometric figures.
7.3.1.b: compare and classify triangles by angle size and length of sides;
7.3.1.c: compare and classify polygons by properties;
7.3.1.d: use appropriate mathematical language to describe similarity and congruence.
7.3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
7.3.2.a: plot a given set of points on the coordinate plane.
7.3.3: Apply transformations and use symmetry to analyze mathematical situations.
7.3.3.a: relate symmetry and congruence to reflections about a line.
7.3.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.
7.3.4.b: build a three-dimensional object from a two-dimensional representation (net) of that object and vice versa;
7.3.4.c: use visualization and spatial reasoning to solve real-world problems.
7.4.1: Understand measurable attributes of objects and the units, systems, and processes of measurement.
7.4.1.c: understand, select, and use units of appropriate size and type to measure angles, perimeter, areas, surface area, and volume.
7.4.2: Apply appropriate techniques, tools, and formulas to determine measurements.
7.4.2.a: use a variety of strategies to estimate length, perimeter, circumference, area, and volume;
7.4.2.b: select and apply techniques and tools to accurately measure length, perimeter, area, volume, and angles to appropriate levels of precision;
7.4.2.c: develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles;
7.4.2.e: develop strategies to determine the surface area and volume of selected prisms and cylinders;
7.5.2: Select and use appropriate statistical methods to analyze data.
7.5.2.a: find, use, and interpret measures of center and spread (e.g., mean, interquartile range);
7.5.2.c: discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, and scatterplots).
7.5.4: Understand and apply basic concepts of probability.
7.5.4.b: construct a tree diagram to determine all possible outcomes of a simple event.
Correlation last revised: 7/7/2009