Louisiana State Standards for Mathematics: Grade 7

LA.N. 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).

N-1-M-GLE 1. Recognize and compute equivalent representations of fractions, decimals, and percents (i.e., halves, thirds, fourths, fifths, eighths, tenths, hundredths) (N-1-M)

N-2-M. Demonstrating number sense and estimation skills to describe, order, and compare rational numbers (e.g., magnitude, integers, fractions, decimals, and percents).

N-2-M-GLE 2. Compare positive fractions, decimals, percents, and integers using symbols (i.e., <, </=, =, >/=, >) and position on a number line (N-2-M)

N-3-M. Reading, writing, representing, and using rational numbers in a variety of forms (e.g., integers, mixed numbers, and improper fractions).

N-3-M-GLE 7. Select and discuss appropriate operations and solve single- and multi-step, real-life problems involving positive fractions, percents, mixed numbers, decimals, and positive and negative integers (N-5-M) (N-3-M) (N-4-M)

N-4-M. Demonstrating a conceptual understanding of the meaning of the basic arithmetic operations (add, subtract, multiply and divide) and their relationships to each other.

N-4-M-GLE 3. Solve order of operations problems involving grouping symbols and multiple operations (N-4-M)

N-4-M-GLE 4. Model and apply the distributive property in real-life applications (N-4-M)

N-4-M-GLE 7. Select and discuss appropriate operations and solve single- and multi-step, real-life problems involving positive fractions, percents, mixed numbers, decimals, and positive and negative integers (N-5-M) (N-3-M) (N-4-M)

N-5-M. Applying an understanding of rational numbers and arithmetic operations to real-life situations.

N-5-M-GLE 5. Multiply and divide positive fractions and decimals (N-5-M)

N-5-M-GLE 6. Set up and solve simple percent problems using various strategies, including mental math (N-5-M) (N-6-M) (N-8-M)

N-5-M-GLE 7. Select and discuss appropriate operations and solve single- and multi-step, real-life problems involving positive fractions, percents, mixed numbers, decimals, and positive and negative integers (N-5-M) (N-3-M) (N-4-M)

N-5-M-GLE 9. Determine when an estimate is sufficient and when an exact answer is needed in real-life problems using decimals and percents (N-7-M) (N-5-M)

N-6-M. Constructing, using, and explaining procedures to compute and estimate with rational numbers employing mental math strategies.

N-6-M-GLE 6. Set up and solve simple percent problems using various strategies, including mental math (N-5-M) (N-6-M) (N-8-M)

N-6-M-GLE 8. Determine the reasonableness of answers involving positive fractions and decimals by comparing them to estimates (N-6-M) (N-7-M)

N-7-M. Selecting and using appropriate computational methods and tools for given situations involving rational numbers (e.g., estimation, or exact computation using mental arithmetic, calculator, computer, or paper and pencil).

N-7-M-GLE 8. Determine the reasonableness of answers involving positive fractions and decimals by comparing them to estimates (N-6-M) (N-7-M)

N-7-M-GLE 9. Determine when an estimate is sufficient and when an exact answer is needed in real-life problems using decimals and percents (N-7-M) (N-5-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).

N-8-M-GLE 6. Set up and solve simple percent problems using various strategies, including mental math (N-5-M) (N-6-M) (N-8-M)

N-8-M-GLE 10. Determine and apply rates and ratios (N-8-M)

N-8-M-GLE 11. Use proportions involving whole numbers to solve real-life problems (N-8-M)

LA.A. Algebra: In problem-solving investigations students demonstrate an understanding of concepts and processes that allow them to analyze, represent, and describe relationships among variable quantities and to apply algebraic methods to real-world situations.

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).

A-1-M-GLE 12. Evaluate algebraic expressions containing exponents (especially 2 and 3) and square roots, using substitution (A-1-M)

A-1-M-GLE 13. Determine the square root of perfect squares and mentally approximate other square roots by identifying the two whole numbers between which they fall (A-1-M)

A-1-M-GLE 14. Write a real-life meaning of a simple algebraic equation or inequality, and vice versa (A-1-M) (A-5-M)

A-1-M-GLE 15. Match algebraic inequalities with equivalent verbal statements and vice versa (A-1-M)

A-2-M. Modeling and developing methods for solving equations and inequalities (e.g., using charts, graphs, manipulatives, and/or standard algebraic procedures).

A-2-M-GLE 16. Solve one- and two-step equations and inequalities (with one variable) in multiple ways (A-2-M)

A-2-M-GLE 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 >/= 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).

A-3-M-GLE 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.

A-4-M-GLE 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-GLE 19. Use function machines to determine and describe the rule that generates outputs from given inputs (A-4-M) (P-3-M)

A-5-M. Demonstrating the connection of algebra to the other strands and to real-life situations.

A-5-M-GLE 14. Write a real-life meaning of a simple algebraic equation or inequality, and vice versa (A-1-M) (A-5-M)

A-5-M-GLE 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)

LA.M. Measurement: In problem-solving investigations, students demonstrate an understanding of the concepts, processes, and real-life applications of measurement.

M-1-M. Applying the concepts of length, area, surface area, volume, capacity, weight, mass, money, time, temperature, and rate to real-world experiences.

M-1-M-GLE 20. Determine the perimeter and area of composite plane figures by subdivision and area addition (M-1-M) (G-7-M)

M-2-M. Demonstrating an intuitive sense of measurement (e.g., estimating and determining reasonableness of measures).

M-3-M. Selecting appropriate units and tools for tasks by considering the purpose for the measurement and the precision required for the task (e.g., length of a room in feet rather than inches).

M-4-M. Using intuition and estimation skills to describe, order, and compare formal and informal measures (e.g., ordering cup, pint, quart, gallon; comparing a meter to a yard).

M-4-M-GLE 21. Compare and order measurements within and between the U.S. and metric systems in terms of common reference points (e.g., weight/mass and area) (M-4-M) (G-1-M)

M-5-M. Converting from one unit of measurement to another within the same system (Comparisons between systems, customary and metric, should be based on intuitive reference points, not formal computation.).

M-5-M-GLE 22. Convert between units of area in U.S. and metric units within the same system (M-5-M)

M-5-M-GLE 23. Demonstrate an intuitive sense of comparisons between degrees Fahrenheit and Celsius in real-life situations using common reference points (M-5-M)

M-6-M. Demonstrating the connection of measurement to the other strands and to real-life situations.

M-6-M-GLE 28. Determine the radius, diameter, circumference, and area of a circle and apply these measures in real-life problems (G-5-M) (G-7-M) (M-6-M)

LA.G. Geometry: In problem-solving investigations, students demonstrate an understanding of geometric concepts and applications involving one-, two-, and three-dimensional geometry, and justify their findings.

G-1-M. Using estimation skills to describe, order, and compare geometric measures.

G-1-M-GLE 21. Compare and order measurements within and between the U.S. and metric systems in terms of common reference points (e.g., weight/mass and area) (M-4-M) (G-1-M)

G-2-M. Identifying, describing, comparing, constructing, and classifying geometric figures and concepts.

G-2-M-GLE 24. Identify and draw angles (using protractors), circles, diameters, radii, altitudes, and 2-dimensional figures with given specifications (G-2-M)

G-3-M. Making predictions regarding transformations of geometric figures (e.g., make predictions regarding translations, reflections, and rotations of common figures).

G-3-M-GLE 25. Draw the results of reflections and translations of geometric shapes on a coordinate grid (G-3-M)

G-4-M. Constructing two- and three-dimensional models.

G-5-M. Making and testing conjectures about geometric shapes and their properties.

G-5-M-GLE 26. Recognize pi as the ratio between the circumference and diameter of any circle (i.e., pi = C/d or pi = C/2r) (G-5-M)

G-5-M-GLE 27. Model and explain the relationship between perimeter and area (how scale change in a linear dimension affects perimeter and area) and between circumference and area of a circle (G-5-M)

G-5-M-GLE 28. Determine the radius, diameter, circumference, and area of a circle and apply these measures in real-life problems (G-5-M) (G-7-M) (M-6-M)

G-6-M. Demonstrating an understanding of the coordinate system (e.g., locate points, identify coordinates, and graph points in a coordinate plane to represent real-world situations).

G-6-M-GLE 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)

G-7-M. Demonstrating the connection of geometry to the other strands and to real-life situations (e.g., applications of the Pythagorean Theorem).

G-7-M-GLE 20. Determine the perimeter and area of composite plane figures by subdivision and area addition (M-1-M) (G-7-M)

G-7-M-GLE 28. Determine the radius, diameter, circumference, and area of a circle and apply these measures in real-life problems (G-5-M) (G-7-M) (M-6-M)

G-7-M-GLE 30. Apply the knowledge that the measures of the interior angles in a triangle add up to 180 degrees (G-7-M)

LA.D. 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-1-M. Systematically collecting, organizing, describing, and displaying data in charts, tables, plots, graphs, and/or spreadsheets.

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, mode, range, random samples, sample size, bias, and data extremes).

D-2-M-GLE 31. Analyze and interpret circle graphs, and determine when a circle graph is the most appropriate type of graph to use (D-2-M)

D-2-M-GLE 32. Describe data in terms of patterns, clustered data, gaps, and outliers (D-2-M)

D-2-M-GLE 33. Analyze discrete and continuous data in real-life applications (D-2-M) (D-6-M)

D-3-M. Describing informal thinking procedures (e.g., solving elementary logic problems using Venn diagrams, tables, charts, and/or elementary logic operatives to solve logic problems in real-life situations; reach valid conclusions in elementary logic problems involving and, or, not, if/then).

D-3-M-GLE 34. Create and use Venn diagrams with three overlapping categories to solve counting logic problems (D-3-M)

D-3-M-GLE 35. Use informal thinking procedures of elementary logic involving if/then statements (D-3-M)

D-4-M. Analyzing various counting and enumeration procedures with and without replacement (e.g., find the total number of possible outcomes or possible choices in a given situation).

D-4-M-GLE 36. Apply the fundamental counting principle in real-life situations (D-4-M)

D-5-M. Comparing experimental probability results with theoretical probability (e.g., representing probabilities of concrete situations as common fractions, investigating single-event and multiple-event probability, using sample spaces, geometric figures, tables, and/or graphs).

D-5-M-GLE 37. Determine probability from experiments and from data displayed in tables and graphs (D-5-M)

D-5-M-GLE 38. Compare theoretical and experimental probability in real-life situations (D-5-M)

D-6-M. Demonstrating the connection of data analysis, probability, and discrete math to other strands and to real-life situations.

D-6-M-GLE 33. Analyze discrete and continuous data in real-life applications (D-2-M) (D-6-M)

LA.P. Patterns, Relations, and Functions: In problem-solving investigations, students demonstrate an understanding of patterns, relations, and functions that represent and explain real-world situations.

P-1-M. Describing, extending, analyzing, and creating a wide variety of numerical, geometrical, and statistical patterns (e.g., skip counting of rational numbers and simple exponential number patterns).

P-1-M-GLE 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)

P-1-M-GLE 39. Analyze and describe simple exponential number patterns (e.g., 3, 9, 27 or 3^1, 3^2, 3^3) (P-1-M)

P-1-M-GLE 40. Analyze and verbally describe real-life additive and multiplicative patterns involving fractions and integers (P-1-M) (P-4-M)

P-2-M. Describing and representing relationships using tables, rules, simple equations, and graphs.

P-3-M. Analyzing relationships to explain how a change in one quantity results in a change in another (e.g., change in the dimensions of a rectangular solid affects the volume).

P-3-M-GLE 19. Use function machines to determine and describe the rule that generates outputs from given inputs (A-4-M) (P-3-M)

P-3-M-GLE 41. Illustrate patterns of change in length(s) of sides and corresponding changes in areas of polygons (P-3-M)

P-4-M. Demonstrating the pervasive use of patterns, relations, and functions in other strands and in real-life situations.

P-4-M-GLE 40. Analyze and verbally describe real-life additive and multiplicative patterns involving fractions and integers (P-1-M) (P-4-M)