2.1.8: Numbers, Number Systems and Number Relationships

2.1.8.A: Represent and use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, exponents, scientific notation, square roots).

2.1.8.B: Simplify numerical expressions involving exponents, scientific notation and using order of operations.

2.1.8.C: Distinguish between and order rational and irrational numbers.

2.1.8.D: Apply ratio and proportion to mathematical problem situations involving distance, rate, time and similar triangles.

2.1.8.E: Simplify and expand algebraic expressions using exponential forms.

2.1.8.F: Use the number line model to demonstrate integers and their applications.

2.1.8.G: Use the inverse relationships between addition, subtraction, multiplication, division, exponentiation and root extraction to determine unknown quantities in equations.

2.2.8: Computation and Estimation

2.2.8.A: Complete calculations by applying the order of operations.

2.2.8.B: Add, subtract, multiply and divide different kinds and forms of rational numbers including integers, decimal fractions, percents and proper and improper fractions.

2.3.8: Measurement and Estimation

2.3.8.A: Develop formulas and procedures for determining measurements (e.g., area, volume, distance).

2.3.8.: B. Solve rate problems (e.g., rate X time = distance, principal X interest rate = interest).

2.3.8.D: Estimate, use and describe measures of distance, rate, perimeter, area, volume, weight, mass and angles.

2.3.8.E: Describe how a change in linear dimension of an object affects its perimeter, area and volume.

2.3.8.F: Use scale measurements to interpret maps or drawings.

2.3.8.G: Create and use scale models.

2.6.8: Statistics and Data Analysis

2.6.8.A: Compare and contrast different plots of data using values of mean, median, mode, quartiles and range.

2.6.8.C: Fit a line to the scatter plot of two quantities and describe any correlation of the variables.

2.6.8.D: Design and carry out a random sampling procedure.

2.6.8.E: Analyze and display data in stem-and- leaf and box-and-whisker plots.

2.7.8: Probability and Predictions

2.7.8.A: Determine the number of combinations and permutations for an event.

2.7.8.B: Present the results of an experiment using visual representations (e.g., tables, charts, graphs).

2.7.8.D: Compare and contrast results from observations and mathematical models.

2.7.8.E: Make valid inferences, predictions and arguments based on probability.

2.8.8: Algebra and Functions

2.8.8.A: Apply simple algebraic patterns to basic number theory and to spatial relations

2.8.8.B: Discover, describe and generalize patterns, including linear, exponential and simple quadratic relationships.

2.8.8.C: Create and interpret expressions, equations or inequalities that model problem situations.

2.8.8.E: Select and use a strategy to solve an equation or inequality, explain the solution and check the solution for accuracy.

2.8.8.F: Solve and graph equations and inequalities using scientific and graphing calculators and computer spreadsheets.

2.8.8.G: Represent relationships with tables or graphs in the coordinate plane and verbal or symbolic rules.

2.8.8.H: Graph a linear function from a rule or table.

2.8.8.I: Generate a table or graph from a function and use graphing calculators and computer spreadsheets to graph and analyze functions.

2.8.8.J: Show that an equality relationship between two quantities remains the same as long as the same change is made to both quantities; explain how a change in one quantity determines another quantity in a functional relationship.

2.9.8: Geometry

2.9.8.A: Construct figures incorporating perpendicular and parallel lines, the perpendicular bisector of a line segment and an angle bisector using computer software.

2.9.8.B: Draw, label, measure and list the properties of complementary, supplementary and vertical angles.

2.9.8.C: Classify familiar polygons as regular or irregular up to a decagon.

2.9.8.D: Identify, name, draw and list all properties of squares, cubes, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, spheres, triangles, prisms and cylinders.

2.9.8.E: Construct parallel lines, draw a transversal and measure and compare angles formed (e.g., alternate interior and exterior angles).

2.9.8.F: Distinguish between similar and congruent polygons.

2.9.8.H: Use simple geometric figures (e.g., triangles, squares) to create, through rotation, transformational figures in three dimensions.

2.9.8.I: Generate transformations using computer software.

2.9.8.J: Analyze geometric patterns (e.g., tessellations, sequences of shapes) and develop descriptions of the patterns.

2.9.8.K: Analyze objects to determine whether they illustrate tessellations, symmetry, congruence, similarity and scale.

2.10.8: Trigonometry

2.10.8.A: Compute measures of sides and angles using proportions, the Pythagorean Theorem and right triangle relationships.

2.10.8.B: Solve problems requiring indirect measurement for lengths of sides of triangles.

2.11.8: Concepts of Calculus

2.11.8.A: Analyze graphs of related quantities for minimum and maximum values and justify the findings.

2.11.8.C: Continue a pattern of numbers or objects that could be extended infinitely.

Correlation last revised: 11/13/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.