Teachers across the state are hard at work on the Nebraska State Standards.  All the K-12 standards are listed below for you to see what is expected of math teachers and students in the state of Nebraska.  At Fairbury High School, each class will only assess the standards that are covered in their class.  Therefore, students will only be tested on information that have recently learned!  To learn more about which standards are tested in applied math, practical math and geometry you may visit those specific pages.  Students will be taking assessments online.  Below are pictures of students actively testing.

12.1.1 Students will describe and compare the relationships among all subsets of real numbers.

12.1.2 Students will express the equivalent forms of numbers using exponents, radicals, scientific notation, absolute values, fractions, decimals, and percents.

12.2.1 Students will solve theoretical and applied problems using numbers in equivalent forms, radicals, exponents, scientific notation, absolute values, fractions, decimals, and percents, ratios and proportions, order of operations, and properties of real numbers.

12.2.2 Students will justify the reasonableness of solutions.

12.2.3 Students will perform estimations and computations mentally, with paper and pencil, and with technology.

12.3.1 Students will select and use appropriate measuring units, tools, and/or technology to achieve a specified degree of accuracy and precision.

12.3.2 Students will convert between metric and standard units of measurement.

12.4.1 Students will calculate perimeter, area, and volume for two- and three-dimensional shapes

12.4.2 Students will utilize geometric relationships and terms to describe the physical world.

12.4.3 Students will analyze relationships among geometric forms.

12.4.4 Students will apply coordinate geometry to locate objects and to describe objects algebraically.

12.4.5 Students will apply right triangle trigonometry to solve problems.

12.4.6 Students will understand and apply geometric properties to solve problems.

12.4.7 Students will apply deductive reasoning to arrive at valid conclusions.

12.5.1 Students will apply sampling techniques to gather data, organize, display, and interpret data to solve complex problems.

12.5.2 Students will make inferences and predictions and write equations based on the analysis of sets of data.

12.5.3 Students will interpret theoretical probability to represent problems, solve problems, and make informal decisions.

12.5.4 Students will analyze the effects of data transformation on measures of central tendency and variability such as linear and non-linear relationships.

12.5.5 Students will formulate conclusions based on the interpretation of data represented by the normal distribution.

12.5.6 Students will calculate probabilities of independent events and counting problems.

12.6.1 Students will interpret algebraic equations and inequalities graphically and describe geometric relationships algebraically.

12.6.2 Students will apply and solve problems involving equations and inequalities.

12.6.3 Students will apply and solve problems involving systems of equations, and systems of inequalities and matrices.

12.6.4 Students will apply and solve problems using patterns, algebraic expressions, functions, and regression analysis.

Grade 8

8.1 NUMERATION/NUMBER SENSE

8.1.1 Students will recognize and utilize real numbers such as whole numbers, integers, and rational numbers.

8.1.2 Students will apply relationships between fractions, decimals, and percents in a variety of situations.

8.1.3 Students will represent and use numbers in a variety of different forms.

8.1.4 Students will apply appropriate use of number theory such as prime and composite, factors and multiples, divisibility, powers, properties, and identities.

8.2 COMPUTATION/ESTIMATION

8.2.1 Students will add, subtract, multiply, and divide decimals and proper, improper, and mixed fractions with uncommon and common denominators both with and without the use of technology.

8.2.2 Students will identify the appropriate operation and do the correct calculations to solve word problems.

8.2.3 Students will solve problems involving whole numbers, integers, and rational numbers (fractions, decimals, ratios, proportions, and percents) both with and without the use of technology. Problems will be of varying complexities and can involve real-life data.

8.2.4 Students will apply the order of operations to solve problems both with and without the use of technology.

8.2.5 Students will apply strategies of estimation to a variety of problems both with and without the use of technology.

8.3 MEASUREMENT

8.3.1 Students will select appropriate tools and properly measure quantities for temperature, time, money, length and width, area and perimeter, volume and capacity, weight and mass in both standard and metric units at the level of precision required.

8.3.2 Students will convert units within measurement systems using proper conversion factors (standard and metric).

8.4 GEOMETRY/SPATIAL CONCETS

8.4.1 Students will identify, describe, compare, and classify 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 Students will understand and apply geometric properties and relationships of congruence, similarity, symmetry, and Pythagorean theorem.

8.4.3 Students will understand and apply the formulas to solve problems involving perimeter and area of a square, rectangle, parallelogram, trapezoid and triangle and area and circumference of circles.

8.4.4 Students will solve problems using the formulas for volume and surface area of rectangular prisms, cylinders, and cones.

8.4.5 Students will apply transformations to geometric figures such as translations or slides, rotations or turns, reflections or flips, and scale or dilate.

8.4.6 Students will use geometric representations to solve problems and describe the physical world.

8.5 DATA ANALYSIS, PROBABILITY, AND STATISTICAL CONCEPTS

8.5.1 Students will collect, analyze, interpret, and display data.

8.5.2 Students will read and interpret tables, charts, and graphs to make comparisons, predictions, and inferences.

8.5.3 Students will conduct experiments or simulations to demonstrate an understanding of theoretical probability and relative frequency.

8.5.4 Students will recognize appropriate use of statistical methods and appropriate use of probability as a means for decision-making.

8.6 ALGEBRAIC CONCEPTS

8.6.1 Students will demonstrate knowledge and use of the one- and two-dimensional coordinate systems.

8.6.2 Students will apply algebraic concepts and algebraic operations to solving problems.

8.6.3 Students will describe and represent relations, using tables, graphs, and rules.

Grade 4

4.1 NUMERATION/NUMBER SENSE

4.1.1 Students will demonstrate an understanding of place value through the millions and decimals to the hundredths place.

4.1.2 Students will represent numbers in equivalent forms.

4.1.3 Students will describe and apply relationships between numbers by order, comparison, and across the operation, such as subtraction as the opposite of addition and multiplication as repeated addition.

4.1.4 Students will identify and demonstrate positive and negative numbers and zero.

4.1.5 Students will make change and count out in amounts up to $20.00.

4.2 COMPUTATION/ESTIMATION

4.2.1 Students will estimate and accurately calculate without and with calculators and solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.

4.2.2 Students will estimate and accurately calculate without and with calculators and solve problems involving addition and subtraction of decimals and understand the relationships among these two operations.

4.2.3 Students will estimate and accurately calculate without and with calculators and solve problems involving addition and subtraction of fractions and understand the relationships among these two operations.

4.3 MEASUREMENT

4.3.1 Students will estimate, measure, and solve problems using metric units for linear measure, area, mass/weight, and capacity.

4.3.2 Students will estimate, measure, and solve problems using standard units for linear measure, area, mass/weight, and capacity.

4.3.3 Students will tell correct time to the minute on an analog clock.

4.3.4 Students will determine the perimeter of a many-sided figure (without a formula) using both standard and nonstandard units of measure, such as the six-sided figure measures 30 inches or 15 toothpicks around the edges.

4.4 GEOMETRY/SPATIAL CONCEPTS

4.4.1 Students will identify, describe, and create two- and three-dimensional geometric shapes.

4.4.2 Students will identify and draw points, lines, line segments, rays, and angles.

4.4.3 Students will analyze, compare, and solve problems with geometric figures using congruence, symmetry, similarity, and simple transformations.

4.5 DATA ANALYSIS, PROBABILITY, AND STATISTICAL CONCEPTS

4.5.1 Students will collect, organize, represent, and interpret numerical and categorical data and clearly communicate the findings.

4.6 ALGEBRAIC CONCEPTS

4.6.1 Students will use and interpret variables, mathematical symbols and properties to write and simplify expressions and sentences.

4.6.2 Students will identify, describe, and extend arithmetic patterns, using concrete materials and tables.

Grades K-1

1.1 NUMERATION/NUMBER SENSE

1.1.1 Students will communicate the sequential nature of the number system.

1.1.2 Students will communicate the mathematical relations of the number system.

1.1.3 Students will recognize numbers and applications in everyday situations.

1.1.4 Students will demonstrate the value of numbers (0-20) using concrete objects.

1.2 COMPUTATION/ESTIMATION

1.2.1 Students will demonstrate the concepts of addition and subtraction up to 10.

1.2.2 Students will determine the reasonableness of proposed solutions to mathematical problems.

1.3 MEASUREMENT

1.3.1 Students will compare two or more items or sets using direct comparisons or nonstandard units of measure for the following attributes: length (shorter/longer), height (taller/shorter), weight (heavier/lighter), temperature (hotter/colder). Nonstandard unit examples are: length of a human foot, hand span, new pencil, a toothpick, block, etc.

1.3.2 Students will recognize tools of measurement and their appropriate use, such as clocks, calendar, ruler, balance, scale, and thermometer.

1.3.3 Students will tell time to the half-hour using an analog and digital clock.

1.3.4 Students will identify the different units of measurement used in their environment, such as cents, dollars, pounds, gallons, liters, meters, miles, minutes, and hours.

1.3.5 Students will demonstrate an understanding of orientation in time for past, present, future, earlier, and later.

1.4 GEOMETRY/SPATIAL CONCEPTS

1.4.1 Students will compare relative position and spatial relationships, such as left/right, above/below, over/under, up/down, and near/far.

1.4.2 Students will identify, describe, and create circles, squares, triangles, and rectangles.

1.5 DATA ANALYSIS, PROBABILITY, AND STATISTICAL CONCEPTS

1.5.1 Students will count and collect information about objects and events in their environment, such as what is your favorite candy bar, who has a brother, how many pets, and who is going to the library.

1.5.2 Students will organize and display collected information using objects and pictures.

1.5.3 Students will make comparisons from displayed data, such as more, less and fewer.

1.5.4 Students will describe the steps used in collecting and analyzing information.

1.6 ALGEBRAIC CONCEPTS

1.6.1 Students will identify, describe, extend, and create a variety of patterns, such as objects, sounds, movements, shapes, numbers, and colors.

1.6.2 Students will sort and classify objects according to one or more attributes, such as size, shape, color, and thickness.

1.6.3 Students will identify and describe patterns in their environment.

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