Unit Standards *Use Order of Operations to evaluate a mathematical expression. * Evaluate powers, write numbers as powers. *Identify independent and dependent variables . *Analyze tables and graphs to identify relationships exhibited by the data and make generalizations based upon these relationships. *Describe linear, multiplicative or changing growth relationships verbally and algebraically. *In problem solving investigations, demonstrate an understanding of concepts and processes that allow them to analyze, represent, and describe relationships among variables. Mathematics Grade 7 . Number and Number Relations: In problem-solving investigations, students demonstrate an understanding of the real number system and communicate the relationships within that system using a variety of techniques and tools. N-1-M. demonstrating that a rational number can be expressed in many forms, and selecting an appropriate form for a given situation (e.g., fractions, decimals, and percents) M-GLE-7-1. Recognize and compute equivalent representations of fractions, decimals, and percents (i.e., halves, thirds, fourths, fifths, eighths, tenths, hundredths) (N-1-M) N-8-M . demonstrating a conceptual understanding and applications of proportional reasoning (e.g., determining equivalent ratios, finding a missing term of a given proportion) M-GLE-7-10. Determine and apply rates and ratios (N-8-M) M-GLE-7-11. Use proportions involving whole numbers to solve real-life problems (N-8-M) . Algebra: In problem-solving investigations, students demonstrate an understanding of concepts and processes that allow them to analyze, represent, and describe relationships among variable A-1-M . demonstrating a conceptual understanding of variables, expressions, equations, and inequalities (e.g., symbolically represent real- world problems as linear terms, equations, or inequalities) M-GLE-7-14. Write a real-life meaning of a simple algebraic equation or inequality, and vice versa (A-1-M) (A-5-M) A-2-M. modeling and developing methods for solving equations and inequalities (e.g., using charts, graphs, manipulatives, and/or standard algebraic procedures) M-GLE-7-17. Graph solutions sets of one-step equations and inequalities as points, or open and closed rays on a number line (e.g., x = 5, x < 5, x £ 5, x > 5, x ³ 5) (A-2-M) A-3-M . representing situations and number patterns with tables, graphs, and verbal and written statements, while exploring the relationships among these representations (e.g., multiple representations for the same situation) M-GLE-7-18. Describe linear, multiplicative, or changing growth relationships (e.g., 1, 3, 6, 10, 15, 21, …) verbally and algebraically (A-3- M) (A-4-M) (P-1-M) A-4-M. analyzing tables and graphs to identify relationships exhibited by the data and making generalizations based upon these relationships M-GLE-7-18. Describe linear, multiplicative, or changing growth relationships (e.g., 1, 3, 6, 10, 15, 21, …) verbally and algebraically (A-3- M) (A-4-M) (P-1-M) A-5-M . demonstrating the connection of algebra to the other strands and to real-life situations. M-GLE-7-29. Plot points on a coordinate grid in all 4 quadrants and locate the coordinates of a missing vertex in a parallelogram (G-6-M) (A-5- M) . Data Analysis, Probability, and Discrete Math: In problem-solving investigations, students discover trends, formulate conjectures regarding cause-and-effect relationships, and demonstrate critical thinking skills in order to make informed decisions. D-2-M. analyzing, interpreting, evaluating, drawing inferences, and making estimations, predictions, decisions, and convincing arguments based on organized data (e.g., analyze data using concepts of mean, median, M-GLE-7-31. Analyze and interpret circle graphs, and determine when a circle graph is the most appropriate type of graph to use (D-2-M) M-GLE-7-32. Describe data in terms of patterns, clustered data, gaps, and outliers (D-2-M) M-GLE-7-33. Analyze discrete and continuous data in real-life applications (D-2-M) (D-6-M)