Math Department

Middle School Resources

Elementary Math Performance Standards

Seventh grade

Each ASD mathematics course reflects the program statement and incorporates the general program goals. In addition, each course consists of a specific set of standards that determine the course content and a set of performance standards that delineate what a student should be able to do after successfully completing the course. After satisfactorily completing the ASD Seventh Grade mathematics curriculum, a student will be proficient in the fourteen strands of mathematics which comprise the mathematics curriculum. As evidence of proficiency, the student will be able to:

7:1 Estimation

.1 Decide when an estimate is appropriate and when an exact answer is needed.
.2 Estimate real and scale distances on maps and globes.
.3 Estimate solutions to problems involving fractions, decimals and percents.
.4 Estimate the total expenses of a real life experience (e.g., a shopping trip).
.5 Use estimation to check the reasonableness of calculator or computer results.
.6 Estimate solutions to problems to check reasonableness of results.
.7 Apply, explain, and assess the appropriateness of a variety of estimation strategies.

7:2 Number Sense

.1 Use exponents to write the prime factorization of a number.
.2 Convert between fractions, decimals, and percents, and select the most appropriate form.
.3 Convert between standard notation and scientific notation, and select the more appropriate form.
.4 Use rules of divisibility to determine if one number is a factor or a multiple of another.
.5 Use prime factors to find GCF's and LCM's.
.6 Compare and order whole numbers, fractions, decimals and integers using >, <, or =.
.7 Use models or diagrams to explain place value relations of decimals.
.8 Explain the representations of scientific notation, exponents, and percents.

7:3 Concepts of Number Operations

.1 Use the commutative, associative, and distributive properties.
.2 Use inverse operations to solve problems.
.3 Use the properties of zero and 1.
.4 Use manipulatives, diagrams, symbols, and words to model addition, subtraction, multiplication and division of rational numbers.
.5 Use manipulatives, diagrams, symbols and words to describe addition and subtraction of integers.
.6 Write and solve word problems involving multiple operations.

7:4 Computation

.1 Select and use an appropriate method for computing addition, subtraction, multiplication and division of rational numbers (e.g., mental math, paper and pencil, calculator, computer).
.2 Add, subtract, multiply, and divide fractions, and decimals with and without a calculator or computer.
.3 Convert numbers from exponential form to standard notation.
.4 Convert numbers between standard form and scientific notation using positive exponents.
.5 Use proportions to solve practical problems including scale drawings that contain whole numbers, fractions, decimals, and percents.
.6 Write and solve practical problems that use fractions or mixed numbers.
.7 Convert fractions to equivalent mixed numbers and decimals.
.8 Apply the rules for order of operations to rational numbers.
.9 Use mental math to solve problems involving basic operations, powers of 10, and simple percents.

7:5 Geometry

.1 Identify, classify, and compare polygons and polyhedra.
.2 Identify and use the vocabulary related to regular and irregular polygons, circles, polyhedra, and their components.
.3 Name and classify angles formed by parallel, perpendicular and intersecting lines
.4 Classify, construct and identify properties of angles.
.5 Describe the relationship of angles in different types of triangles.
.6 Find the sum of the angles in any polygon.
.7 Calculate the measure of an angle in a regular polygon.
.8 Use manipulatives to construct geometric figures in two and three dimensions.
.9 Identify and describe congruent and similar figures.
.10 Graph a figure and its image formed by a translation, reflection, or rotation, on a coordinate plane.
.11 Identify and construct translations, rotations, reflections and dilations of plane figures.
.12 Use characteristics of polygons to explain tessellations.
.13 Use manipulatives to create a figure that tessellates and explain why it tessellates.

7:6 Measurement

.1 Measure length, weight/mass, area, and volume using the appropriate tool in metric and in standard units.
.2 Use, compare, and convert between units in the metric system for length, area, and volume.
.3 Use, compare, and convert between units in the standard system for length, time, weight, area and volume.
.4 Explain the range of error that can be expected when measuring.
.5 Find perimeter, circumference, and area of circles and polygons, and verify the solution using a different method.
.6 Use ratios to solve problems about perimeters and areas of similar figures.
.7 Write and solve rate problems and use appropriate units for the solutions.

7:7 Statistics

.1 Compute the mean, median, mode, and range for a given set of data and justify one as the best representation of the data.
.2 Explain which measure of central tendency best represents a given data set.
.3 Sample and record data systematically.
.4 Present data as a scatter plot, stem & leaf, circle graph, line plot, and bar graph; make an argument for which graph best represents the data.
.5 Use technology and a spread sheet or data table to create a graph.
.6 Interpret a broken axis bar graph and use it to show how data can be misrepresented.
.7 Identify and communicate trends based on statistics from data.
.8 Analyze data for validity and misrepresentation.

7:8 Probability

.1 Express the probability of a single event as a fraction, decimal, or percent.
.2 Predict the outcome of an independent event, design an experiment to test the probability, compute the actual outcome and compare the results to the prediction.
.3 Explain why experimental (actual) results may be different from theoretical (expected) probabilities in 50 coin flips.
.4 Explain how to determine probability if the odds are known.
.5 Predict the probability of a future event, using a table of evidence from the past, and defend your conclusion.

7:9 Patterns

.1 Identify, describe, and extend arithmetic, geometric, or other patterns.
.2 Use an arithmetic or geometric rational number pattern to find an unknown value.
.3 Use symbols to describe number patterns.
.4 Determine the nth term in a sequential pattern.
.5 Explain the patterns found in tables, graphs, rules and formulas.
.6 Use a pattern from a table or graph to predict an outcome.
.7 Explain how to use patterns as a strategy for problem solving.

7:10 Algebra

.1 Translate word problems into symbolic expressions, equations, or inequalities.
.2 Substitute values for a variable and evaluate the expression, equation, or inequality.
.3 Combine like terms to simplify expressions.
.4 Graph inequalities on a number line.
.5 Describe linear data with tables, graphs, and lines of best fit.
.6 Substitute values into a linear equation to make a table of ordered pairs; graph the points on a coordinate plane.
.7 Use order of operations including grouping symbols and exponents to solve problems.
.8 Solve one step equations using inverse operations and check the solutions.
.9 Use ratios and proportions to solve problems.
.10 Use equations to solve problems.
.11 Write and solve real life problems that require the use of a variable.

7:11 Problem solving

.1 Select, modify, and apply a variety of problem-solving strategies.

7:12 Communication

.1 Explain the methods and results of various mathematical efforts, orally and in writing.

7:13 Reasoning

.1 Justify solutions or use counter examples to disprove statements.

7:14 Connections

.1 Apply mathematical skills and processes to other disciplines.