Standards and Objectives
MA.8.1: Students will: demonstrate understanding of numbers, ways of representing numbers, and relationships among 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.8.1.1: compare and order rational and irrational numbers.
MA.8.1.2: utilize the properties of terminating, repeating, and non-repeating decimals, and conversions between fractions, mixed numbers, and decimals.
MA.8.1.4: use powers, squares, and square roots to solve problems.
MA.8.1.5: use estimation techniques with whole numbers, decimals, percent, fractions and mixed numbers to solve and verify solutions in application problems.
MA.8.1.6: solve application problems with whole numbers, decimals, fractions, percents and integers including, but not limited to, rates, tips, discounts, sales tax and interest.
MA.8.2: 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.8.2.1: use order-of-operations and exponents rules to solve problems with numerical and algebraic expressions containing whole numbers, integers, absolute value, fractions and exponents.
MA.8.2.2: solve one and two step linear equations and inequalities with integers, fractions, and decimal solutions.
MA.8.2.3: use ratio and proportion to create and solve equations.
MA.8.2.4: add and subtract polynomials limited to two variables and positive exponents.
MA.8.2.5: apply algebraic equations and expressions to solve application problems.
MA.8.2.6: apply inductive and deductive reasoning to write a rule from data in a function table.
MA.8.2.7: graph linear equations and inequalities within the Cartesian coordinate plane using ordered pairs table of values and appropriate technology.
MA.8.2.8: formulate and apply a rule to generate an arithmetic, geometric and algebraic pattern.
MA.8.2.9: determine the slope of a line given two-points or slope/y-intercept equation (y=mx+b).
MA.8.3: 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.8.3.1: investigate the relationship between corresponding, alternate interior, and alternate exterior angles when parallel lines are cut by a transversal using models, pencil/paper and graphing calculator.
MA.8.3.3: identify, apply, and construct perpendicular and angle bisectors.
MA.8.3.4: create geometric patterns including tiling, art design, tessellations and scaling using transformations (rotations, reflections, translations).
MA.8.3.5: use coordinate geometry to represent and examine properties of similar and congruent figures and graph transformations.
MA.8.3.6: create scale models including ratio, proportion and similar figures using pencil/paper and dynamic geometry software.
MA.8.4: 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.8.4.1: estimate and solve application problems involving perimeter, area, surface area and volume of plane and solid geometric figures.
MA.8.4.2: use the concept of volume for cone and pyramids as one-third the product of the area of the base and the height.
MA.8.4.3: solve problems involving missing measurements in plane and solid geometric figures using formulas and drawings including irregular figures, models or definitions.
MA.8.4.4: solve right triangle problems using the Pythagorean Theorem, indirect measurement and definitions.
MA.8.5: 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.8.5.1: use appropriate technology to solve application problems involving combinations and permutations.
MA.8.5.2: investigate the experimental and theoretical probability, including compound probability of an event.
MA.8.5.3: create and extrapolate information from multiple-bar graphs, box and whisker plots, and other data displays using appropriate technology.
Correlation last revised: 12/4/2008