AISL Grade 7 Benchmarks in Mathematics
(Revised June, 2010)
- AISL.MAT.01 Number Sense: Students will understand and apply numbers, ways of representing numbers, relationships among numbers, and number systems.
- AISL.MAT.01.G7.01 Understand the relationships among equivalent number representations
- AISL.MAT.01.G7.02 Understand the characteristics and properties of the set of rational numbers and its subsets
- AISL.MAT.01.G7.03 Understand the characteristics and uses of exponents and scientific notation
- AISL.MAT.02 Computation : Students will estimate, compute, and assess reasonableness of solutions.
- AISL.MAT.02.G7.01 Select and use appropriate computational methods for a given situation
- AISL.MAT.02.G7.02 Understand how different algorithms work for arithmetic computations and operations
- AISL.MAT.03 Algebra: Students will use algebraic methods to represent, analyze, and solve problems
- AISL.MAT.03.G7.01 Understand various representations of patterns and functions and the relationships among them.
- AISL.MAT.03.G7.02 Solve linear equations, non-linear and inequalities using concrete, informal, and formal methods
- AISL.MAT.03.G7.03 Understand basic operations on algebraic expressions.
- AISL.MAT.04 Measurement: Students will estimate and measure accurately by using appropriate units, tools, and technologies.
- AISL.MAT.04.G7.01 Understand the relationships among linear dimensions, area, and volume and the corresponding uses of units, square units, and cubic units of measure
- AISL.MAT.04.G7.02 Solve problems involving units of measurement and converts answers to a larger or smaller unit within the same system
- AISL.MAT.04.G7.03 Understand the concepts of precision and significant digits as they relate to measurement
- AISL.MAT.04.G7.04 Select and use appropriate units and tools, depending on degree of accuracy required, to find measurements for real-world problems
- AISL.MAT.05 Geometry: Students will apply the properties and relationships of geometric figures to represent, analyze and solve problems.
- AISL.MAT.05.G7.01 Understand geometric transformations of figures in a Cartesian plane
- AISL.MAT.05.G7.02 Understand that objects and relations in geometry correspond directly to objects and relations in algebra
- AISL.MAT.05.G7.03 Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems
- AISL.MAT.06 Data Analysis and Probability: Students will collect, organize, analyze, represent and interpret date in order to make decisions and predictions.
- AISL.MAT.06.G7.01 Understand basic characteristics of measures of central tendency, frequency and distribution (mean, mode, median, range, varying rates of change, gaps, clusters)
- AISL.MAT.06.G7.02 Select and use the best method of representing and describing a set of data
- AISL.MAT.06.G7.03 Determine probability using mathematical/theoretical models
- AISL.MAT.06.G7.04 Understand how predictions are based on data and probabilities
- AISL.MAT.07 Problem Solving: Students will apply a wide variety of mathematical concepts, processes, and skills to solve a broad range of problems.
- AISL.MAT.07.G7.01 Formulate a problem, determine information required to solve the problem, choose methods for obtaining this information, and set limits for acceptable solutions
- AISL.MAT.07.G7.02 Generalize from a pattern of observations made in particular cases, make conjectures, and provide supporting arguments for these conjectures (i.e., uses inductive reasoning)
- AISL.MAT.07.G7.03 Construct informal logical arguments to justify reasoning processes and methods of solutions to problems (i.e., uses informal deductive methods)