Standards and Objectives
MA.7.1: Students will: demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems; demonstrate meanings of operations and how they relate to one another; and compute fluently and make reasonable estimates through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
MA.7.1.1: compare and order integers, decimals, and fractions using symbols (<,>,=) manipulatives and graphing on a number line.
MA.7.1.2: find powers, squares, and square roots using manipulatives, models, calculators, tables and mental math.
MA.7.1.3: define absolute value and determine its effect on a number or expression.
MA.7.1.5: perform operations with integers (e.g., addition, subtraction, multiplication, division).
MA.7.1.7: solve application problems with whole numbers, decimals, fractions and percents.
MA.7.1.8: use appropriate estimation strategies in problem situations including evaluating the reasonableness of a solution.
MA.7.2: Students will: demonstrate understanding of patterns, relations, and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; and analyze change in various contexts through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
MA.7.2.1: find missing elements in a variety of arithmetic and geometric patterns including algebraic sequences and series.
MA.7.2.2: simplify and evaluate numerical and algebraic expressions with whole numbers, integers, absolute value and exponents using the order of operations and exponential rules.
MA.7.2.3: add, subtract, multiply and divide monomials with no more than two variables and no exponent greater than two.
MA.7.2.5: input data into a spreadsheet to create input/output function tables.
MA.7.2.6: use ratios and proportions to represent and solve application problems.
MA.7.2.7: write and evaluate complex algebraic expressions for word phrases.
MA.7.2.9: solve one-step linear equations containing whole numbers, fractions, decimals and integers with integer solutions.
MA.7.2.10: solve basic inequalities using inverse operations and graph solutions.
MA.7.2.11: plot lines within the Cartesian coordinate plane from a table of values.
MA.7.2.12: determine the slope of a line from its graphical representation.
MA.7.3: Students will: analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships; specify locations and describe spatial relationships using coordinate geometry and other representational systems; apply transformations and use symmetry to analyze mathematical situations; and solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
MA.7.3.1: identify and construct angle-pairs (e.g., adjacent, complementary, supplementary, vertical).
MA.7.3.2: use a formula to determine the sum of the measures of the interior angles of a polygon.
MA.7.3.3: use 2-dimensional representations of 3-dimensional objects to visualize and solve problems.
MA.7.3.5: apply and demonstrate line symmetry.
MA.7.3.6: apply transformations (rotations, reflections, translations) to plane figures using graph paper.
MA.7.3.7: solve ratio and proportion problems including scale drawings and similar polygons.
MA.7.4: Students will: demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement; and apply appropriate techniques, tools and formulas to determine measurements through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
MA.7.4.1: use and apply formulas in problem solving situations involving perimeter, circumference, area, surface area, distance and temperature (Celsius, Fahrenheit).
MA.7.4.2: use the concept of volume for prisms, pyramids, and cylinders as the relationship between the area of the base and height.
MA.7.4.3: use the Pythagorean Theorem to find the length of any side of a right triangle.
MA.7.5: Students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; select and use appropriate statistical methods to analyze data; develop and evaluate inferences and predictions that are based on models; and apply and demonstrate an understanding of basic concepts of probability through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
MA.7.5.1: determine experimental and theoretical probability of an event using appropriate technology.
MA.7.5.2: construct sample spaces by listing, tree diagrams, and frequency distribution tables to determine combinations and permutations.
MA.7.5.3: collect, organize, graphically represent, and interpret data displays including: frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs.
MA.7.5.4: solve application problems involving measures of central tendency (mean, median, mode) and dispersion (range) from data, graphs, tables, and experiments using appropriate technology.
Correlation last revised: 12/4/2008