1.A.1: Determine the absolute value of rational numbers.
1.A.2: Illustrate the relationships among natural (i.e., counting) numbers, whole numbers, integers, rational and irrational numbers.
1.A.5: Simplify numerical expressions using order of operations.
1.B.1: Add, subtract, multiply, and divide rational numbers (e.g., integers, fractions, terminating decimals) and take positive rational numbers to whole-number powers.
1.B.2: Convert terminating decimals into reduced fractions.
1.B.3: Calculate given percentages of quantities and use them to solve problems (e.g., discounts of sales, interest earned, tips, markups, commission, profit, simple interest).
1.B.4: Add and subtract fractions with unlike denominators.
1.B.5: Multiply, divide, and simplify rational numbers by using exponent rules.
1.B.6: Understand the meaning of the absolute value of a number:
1.B.6.a: interpret the absolute value as the distance of the number from zero on a number line
1.B.6.b: determine the absolute value of real numbers
1.B.9: Solve addition, subtraction, multiplication, and division problems that use positive and negative integers and combinations of these operations.
1.C.2: Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.
1.C.4: Calculate the percentage of increases and decreases of a quantity.
1.C.5: Add and subtract fractions with unlike denominators.
2.A.1: Identify and continue patterns presented in a variety of formats.
2.A.2: Represent a variety of relationships using tables, graphs, verbal rules, and possible symbolic notation, and recognize the same general pattern presented in different representations.
2.A.3: Simplify numerical expressions by applying properties of rational numbers, and justify the process used.
2.A.4: Interpret and evaluate expressions involving integer powers and simple roots.
2.A.5: Graph and interpret linear functions.
2.A.6: Solve problems involving rate, average speed, distance, and time.
2.B.1: Write verbal expressions and sentences as algebraic expressions and equations:
2.B.1.a: evaluate algebraic expressions
2.B.1.b: solve simple linear equations
2.B.1.c: graph and interpret results
2.B.2: Use variables and appropriate operations to write an expression, an equation, or an inequality that represents a verbal description.
2.B.4: Simplify numerical expressions by applying properties of rational numbers.
2.B.5: Graph linear functions and identify slope as positive or negative.
2.B.6: Use letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes.
2.C.1: Create scale models and use them for dimensional drawings.
2.C.2: Understand and use the coordinate plane to graph ordered pairs and linear equations.
2.D.1: Use variables and appropriate operations to write an expression, an equation, and/or an inequality that represents a verbal description involving change.
2.D.2: Interpret and evaluate expressions involving integer powers and simple roots as they relate to change.
2.D.3: Graph and interpret linear functions as they are used to solve problems.
2.D.4: Solve two-step equations and inequalities with one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.
3.A.1: Classify geometric figures as similar or congruent.
3.A.2: Understand the concept of a constant (e.g., pi) and use the formulas for the circumference and area of a circle.
3.A.3: Explain and use the Pythagorean theorem.
3.A.4: Determine the radius, diameter, and circumference of a circle and explain their relationship.
3.A.5: Use properties to classify solids including pyramids, cones, prisms, and cylinders.
3.B.1: Construct and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine the image under translations and reflections.
3.D.1: Compute the perimeter and area of common geometric shapes and use the results to find measures of less common objects.
3.D.2: Identify and describe the properties of two-dimensional figures:
3.D.2.a: identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms
3.D.2.b: use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle
4.A.1: Choose appropriate units of measure and ratios to recognize new equivalences (e.g., 1 square yard equals 9 square feet) to solve problems.
4.B.2: Select and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles.
4.B.3: Solve problems involving scale factors, ratios, and proportions.
5.A.1: Describe how data representations influences interpretation.
5.A.2: Select and use appropriate representation for presenting collected data and justify the selection.
5.A.3: Use measures of central tendency and spread to describe a set of data.
5.A.4: Choose between median and mode to describe a set of data and justify the choice for a particular situation.
5.A.5: Determine the quartiles of a data set.
5.A.6: Identify ordered pairs of data from a graph and interpret the data in terms of the situation depicted by the graph.
5.A.7: Use various scales and formats to display the same data set.
5.A.9: Collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set.
5.A.10: Compute the minimum, lower quartile, median, upper quartile, and maximum of a data set.
5.A.12: Use and explain sampling techniques (e.g., observations, surveys, and random sampling) for gathering data.
5.A.13: Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, and selecting, collecting, and displaying appropriate data to address the problem.
5.B.1: Choose and justify appropriate measures of central tendencies (e.g., mean, median, mode, range) to describe given or derived data.
5.B.2: Know various ways to display data sets (e.g., stem and leaf plot, box and whisker plot, scatter plots) and use these forms to display a single set of data or to compare two sets of data.
5.B.4: Use appropriate technology to gather and display data sets and identify the relationships that exist among variables within the data set.
5.B.6: Identify data that represent sampling errors and explain why the sample and the display might be biased.
5.C.3: Approximate a line of best fit for a data set in a scatter plot form and make predictions using the simple equation of that line.
5.D.1: Determine the probability of a compound event composed of two independent events.
5.D.2: Identify examples of events having the probability of one or zero.
5.D.3: Describe the probability of events using fractions, decimals, and percents.
5.D.4: Express probability as a fraction, zero, or one.
5.D.5: Use probability to generate convincing arguments, draw conclusions, and make decisions in a variety of situations.
5.D.6: Make predictions based on theoretical probabilities of compound events.
5.D.7: Determine the probability of a simple event or a compound event composed of a simple, independent events.
Correlation last revised: 11/13/2008