8.M.1: Number and Operation

8.M.1.1: Understand and use numbers.

8.M.1.1.1: Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, decimals, percents, and absolute values.

8.M.1.1.2: Use rational numbers, including percents and ratios, and pi to solve problems.

8.M.1.1.3: Locate the position of rational numbers and positive real numbers on a number line.

8.M.1.1.4: Convert between standard form, scientific notation, and exponential form.

8.M.1.1.5: Apply number theory concepts (primes, composites, prime factorization, LCM, GCF).

8.M.1.1.7: Apply integers in one- and two-step common realworld situations.

8.M.1.2: Perform computations accurately.

8.M.1.2.2: Add, subtract, multiply, and divide rational numbers.

8.M.1.2.3: Evaluate numerical expressions with whole number exponents.

8.M.1.2.4: Evaluate numerical expressions with rational numbers using the order of operations.

8.M.1.2.6: Use a variety of strategies including common mathematical formulas to compute problems drawn from real life situations.

8.M.1.3: Estimate and judge reasonableness of results.

8.M.1.3.5: Formulate conjectures and justify (short of formal proof) why they must be or seem to be true.

8.M.2: Concepts and Principles of Measurement

8.M.2.1: Understand and use U.S. customary and metric measurements.

8.M.2.1.3: Compare the differences and relationships among measures of perimeter, area, and volume (capacity) within both systems.

8.M.2.1.4: Given the formulas, find the circumference, perimeter, or area of triangles, circles, and quadrilaterals, and the volume and surface area of rectangular prisms.

8.M.2.1.5: Convert units of measurement within each system in problem solving situations.

8.M.2.1.6: Solve problems involving area of circles and the perimeter and area of rectangles and triangles.

8.M.2.2: Apply the concepts of rates, ratios, and proportions.

8.M.2.2.1: Use rates, proportions, ratios, and map scales in problem-solving situations.

8.M.2.2.2: Determine unit rates in real-world situations.

8.M.2.3: Apply dimensional analysis.

8.M.2.3.1: Illustrate the interrelationship of measurement units through dimensional analysis conversions.

8.M.3: Concepts and Language of Algebra and Functions

8.M.3.1: Use algebraic symbolism as a tool to represent mathematical relationships.

8.M.3.1.1: Use variables in expressions, equations, and inequalities.

8.M.3.1.2: Translate simple word statements and story problems into algebraic expressions and equations.

8.M.3.1.3: Use symbols "<", ">", "=", "not equal to", "less than or equal to", and "greater than or equal to" to express relationships.

8.M.3.2: Evaluate algebraic expressions.

8.M.3.2.1: Use and apply the following properties in evaluating algebraic expressions: commutative, associative, identity, zero, inverse, distributive, and substitution.

8.M.3.2.2: Use the order of operations in evaluating simple algebraic expressions.

8.M.3.2.3: Simplify algebraic expressions.

8.M.3.3: Solve algebraic equations and inequalities.

8.M.3.3.1: Solve one-and two-step equations and inequalities.

8.M.3.3.2: Match graphical representations with simple linear equations.

8.M.3.4: Understand the concept of functions.

8.M.3.4.2: Use relationships to explain how a change in one quantity may result in a change in another, and identify the relationship as a positive, negative, or neither.

8.M.3.4.3: Use appropriate vocabulary and notations.

8.M.3.6: Apply functions to a variety of problems.

8.M.3.6.1: Use patterns and linear functions to represent and solve problems.

8.M.4: Concepts and Principles of Geometry

8.M.4.1: Apply concepts of size, shape, and spatial relationships.

8.M.4.1.1: Describe and classify relationships among types of one-, two-, and three-dimensional geometric figures, using their defining properties.

8.M.4.1.4: Identify and model the effects of reflections, translations, rotations, and scaling on various shapes.

8.M.4.1.5: Identify congruence, similarities, and line symmetry of shapes.

8.M.4.1.6: Explain the concept of surface area and volume (capacity).

8.M.4.3: Apply graphing in two dimensions.

8.M.4.3.1: Identify and plot points on a coordinate plane.

8.M.5: Data Analysis, Probability, and Statistics

8.M.5.1: Understand data analysis.

8.M.5.1.1: Analyze and interpret tables, charts, and graphs, including frequency tables, scatter plots, broken line graphs, line plots, bar graphs, histograms, circle graphs, and stem-and-leaf plots.

8.M.5.1.3: Use appropriate vocabulary and notations.

8.M.5.2: Collect, organize, and display data.

8.M.5.2.1: Collect, organize, and display data with appropriate notation in tables, charts, and graphs, including scatter plots, broken line graphs, line plots, bar graphs, histograms, and stem-and-leaf plots.

8.M.5.3: Apply simple statistical measurements.

8.M.5.3.1: Choose and calculate the appropriate measure of central tendency – mean, median, and mode.

8.M.5.3.2: Explain the significance of distribution of data, including range, frequency, gaps, and clusters.

8.M.5.4: Understand basic concepts of probability.

8.M.5.4.1: Model situations of probability using simulations.

8.M.5.4.2: Recognize equally likely outcomes.

8.M.5.4.3: Explain that probability ranges from 0% to 100% and identify a situation as having high or low probability.

8.M.5.5: Make predictions or decisions based on data.

8.M.5.5.1: Make predictions based on experimental and theoretical probabilities.

8.M.5.5.3: Use appropriate vocabulary and notations.

Correlation last revised: 5/10/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.