#### 8.1: Numeration/Number Sense

8.1.1: Recognize natural numbers whole numbers, integers, and rational numbers.

8.1.2: Determine equivalences among fractions, decimals, and percents.

8.1.2.A: Find the equivalencies among fractions, decimals, and percents.

8.1.4: Identify and display numbers including prime and composite, factors and multiples, divisibility, powers, and properties.

8.1.4.A: Properties of numbers may include, but not be limited to, order of operations, commutative, associative, distributive, identity, and inverse.

#### 8.2: Computation/Estimation

8.2.1: Add, subtract, multiply, and divide decimals and proper, improper, and mixed fractions with uncommon and common denominators with and without the use of technology.

8.2.3: Solve problems involving whole numbers, integers, and rational numbers (fractions, decimals, ratios, proportions, and percents) with and without the use of technology.

8.2.3.A: Use proportions to solve scale-model problems with fractions and decimals.

8.2.4: Apply the order of operations to solve problems with and without the use of technology.

8.2.4.A: Evaluate all types of numerical expressions, including grouping symbols and exponents.

8.2.5: Apply strategies of estimation when solving problems with and without the use of technology.

8.2.5.C: Without a calculator, estimate square roots of whole numbers up to one hundred to the nearest whole number.

#### 8.3: Measurement

8.3.1: Select measurement tools and measure quantities for temperature, time, money, distance, angles, area, perimeter, volume, capacity, and weight/mass in standard and metric units at the designated level of precision.

#### 8.4: Geometry/Spatial Concepts

8.4.1: Identify, describe, compare, and classify two-and three-dimensional geometric figures such as plane figures like polygons and circles; solid figures like prisms, pyramids, cones, spheres, and cylinders; and lines, line segments, rays, angles, parallel and perpendicular lines.

8.4.2: Use geometric properties, the Pythagorean theorem, and the relationships of congruence, similarity, and symmetry.

8.4.3: Use formulas to solve problems involving perimeter and area of a square, rectangle, parallelogram, trapezoid and triangle, as well as the area and circumference of circles.

8.4.4: Solve problems given formulas for volume and surface area of rectangular prisms, cylinders, and cones.

8.4.5: Apply transformations to two-and three-dimensional geometric figures.

8.4.5.A: Draw geometric figures using translations or slides, rotations or turns, reflections or flips, and scale.

#### 8.5: Data Analysis, Probability, and Statistical Concepts

8.5.1: Collect, construct, and interpret data displays and compute mean, median, and mode.

8.5.1.A: Select appropriate representations of data when constructing data displays (graphs, tables, or charts).

8.5.2: Read and interpret tables, charts, and graphs to make comparisons and predictions.

8.5.3: Conduct experiments or simulations to demonstrate theoretical probability and relative frequency.

8.5.3.A: Compare the results of a simulation (relative frequency) to the theoretical probability (a three color spinner or a coin).

8.5.4: Identify statistical methods and probability for making decisions.

8.5.4.B: Identify the use of appropriate charts and graphs.

8.5.4.C: Identify the use of measures of central tendency (mean, median, and mode) appropriately.

#### 8.6: Algebraic Concepts

8.6.1: Demonstrate knowledge and use of the one- and two-dimensional coordinate systems.

8.6.1.A: Order numbers on a number line.

8.6.1.B: Graph ordered pairs on a coordinate plane.

8.6.1.C: Generate a table of ordered pairs to graph an equation in two variables.

8.6.2: Apply algebraic concepts and operations to solve linear equations and word problems.

8.6.2.A: Solve multi-step equations with one variable.

8.6.3: Describe and represent relations, using tables, graphs, and rules.

8.6.3.A: Use variables to recognize and describe patterns.

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.