7.M.1: Number and Operation

7.M.1.1: Understand and use numbers.

7.M.1.1.1: Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, and decimals.

7.M.1.1.2: Solve problems requiring the conversion between simple decimals, fractions, ratios, and percents.

7.M.1.1.3: Locate the position of rational numbers on a number line.

7.M.1.1.5: Apply the number theory concepts of primes, composites, and prime factorization and find the Least Common Multiple (LCM) and the Greatest Common Factor (GCF).

7.M.1.1.7: Describe the use of integers in real-world situations.

7.M.1.2: Perform computations accurately.

7.M.1.2.1: Recall the common equivalent fractions, decimals, and percents of halves, fourths, and tenths.

7.M.1.2.2: Add, subtract, multiply, and divide whole numbers, fractions and decimals; and add, multiply, and divide integers.

7.M.1.2.4: Evaluate numerical expressions using the order of operations with whole numbers and decimals.

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

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

7.M.1.3.5: Formulate conjectures and discuss why they must be or seem to be true.

7.M.2: Concepts and Principles of Measurement

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

7.M.2.1.3: Explain the differences between perimeter, area, and volume (capacity) and their measures within both systems.

7.M.2.1.4: Given the formulas, find the perimeter, circumference, or area of triangles, circles, and quadrilaterals.

7.M.2.1.5: Convert units of measurement within each system.

7.M.2.1.6: Solve problems involving perimeter and area of rectangles and triangles.

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

7.M.2.2.1: Explain rates and their relationship to ratios, and use proportions to solve problems represented with a diagram.

7.M.2.2.2: Reduce rates to unit rates.

7.M.2.3: Apply dimensional analysis.

7.M.2.3.1: Identify properly constructed dimensional analysis conversions.

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

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

7.M.3.1.1: Use variables in simple expressions and equations.

7.M.3.1.2: Translate simple word statements into algebraic expressions and equations.

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

7.M.3.2: Evaluate algebraic expressions.

7.M.3.2.1: Evaluate simple numeric and algebraic expressions using commutative, associative, identity, zero, inverse, distributive, and substitution properties.

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

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

7.M.3.3.1: Solve one-step equations.

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

7.M.3.4.1: Extend patterns involving rational numbers and describe the rule that generates the pattern.

7.M.3.4.2: Explain how a change in one quantity impacts a change in another quantity.

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

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

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

7.M.4: Concepts and Principles of Geometry

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

7.M.4.1.4: Explain and model the effects of reflections, translations, and rotations on various shapes.

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

7.M.4.1.6: Describe the concept of surface area and volume (capacity).

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

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

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

7.M.5.1: Understand data analysis.

7.M.5.1.1: Read 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.

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

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

7.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, and stem-and-leaf plots.

7.M.5.3: Apply simple statistical measurements.

7.M.5.3.1: Determine the measures of central tendency – mean, median and mode – with sets of data.

7.M.5.3.2: Discuss distribution of data, including range, frequency, gaps, and clusters.

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

7.M.5.4.1: Predict, perform, and record results of simple probability experiments.

7.M.5.4.2: Recognize equally likely outcomes.

7.M.5.4.3: Explain that probability ranges from impossible to certain (0% to 100%).

7.M.5.4.4: Use the language of probability.

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

7.M.5.5.1: Make predictions based on simple theoretical probabilities.

7.M.5.5.2: Use appropriate vocabulary and notations.

Correlation last revised: 5/10/2018

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