Instructor: Shelby Golden
This article covers the math standards used in Nebraska. You can find information about what students will learn from kindergarten to 12th grade. Online study resources are also provided.

## Mathematics Standards Categories and Processes

The state of Nebraska divides mathematics standards up into the following four categories:

• Numbers
• Algebra
• Geometry
• Data

All grade levels focus on studying the computations and concepts associated with these categories.

Additionally, Nebraska has set up four processes that relate to the mathematics skills students should be able to perform. These processes include:

• Solving mathematics problems
• Modeling and/or representing mathematics problems
• Making connections that involve mathematics

While the difficulty involved with these processes vary from grade to grade, all students will need to be able to apply these skills correctly.

### Elementary School

Students in elementary school will continue studying what they work on from year to year, with a few additional standards being added in each grade.

#### Kindergarten

Kindergarten students will begin understanding the base-ten number system. They will also develop an understanding of addition and subtraction within 5 digits. They will work on simple equations and expressions. Kids should be able to work with basic characteristics of geometry involving 2D and 3D shapes. They will study the coordinate plane, measurements and formulas. They will also study data displays, analyze data and focus on probability.

In 1st grade, students will make comparisons based on 1s and 10s. They'll also work on telling and writing time with analog and digital clocks. Kids in this grade will also begin studying dimes and pennies.

Students in this grade will focus on counting up to the number 1,000. They will add and subtract larger numbers and work on dividing circles and rectangles into smaller parts. Students will continue studying money, including nickels, quarters and dollar bills.

The interactions between whole numbers and fractions will be discussed starting in this grade. Students will begin working on multiplication and division, including the operational properties associated with these computations.

Students will explore fractions and decimals in this grade. They will work on adding and subtracting whole numbers and fractions, as well as solving equations that involve fractions.

In this grade, students will examine how whole numbers, fractions and decimals interact with one another. They will solve problems that involve all of these types of numbers, as well as mixed numbers.

#### Educational Tips

You can use this Math for Kids Course to help elementary school students strengthen their mathematics skills. Kids will be able to complete short lessons that make difficult subjects easy to understand. Interactive quizzes allow kids to apply what they're learning.

### Middle School

Middle schoolers will continue working on the major subjects they've studied throughout elementary school. Difficulty will increase with each grade, and some additional standards will be added.

6th graders will begin studying percents and integers. They will also need to solve problems that include fractions and decimals. They will begin working with inequalities, ratios, unit rates and polygons.

In this grade, students will study all rational numbers. They will work on understanding integers and two-step equations, as well as proportional relationships. Kids will focus on drawing triangles. Time will be spent learning about circle graphs, samples, and theoretical probabilities.

Students will be spending a lot of time studying real numbers, including rational and irrational numbers, in this grade. They will work with exponents and roots, as well as multi-step equations and inequalities. More advanced geometric concepts, such as the properties of parallel lines and the Pythagorean Theorem, will be explored.

#### Educational Tips

This 6th-8th Grade Math Course has been designed to help middle schoolers reinforce what they're learning in the classroom. Kids can review these lessons as many times as they want, and print off worksheets to get extra practice solving mathematics problems.

### High School

Nebraska expects high school students to continue building on the mathematics skills they've been developing throughout their schooling.

Students will work on different subsets of real numbers, as well as complex numbers. They will solve problems that involve these types of numbers. They will also study:

• Quadratic, exponential, square root and absolute value functions
• Rational expressions
• Linear equations and systems of linear equations
• Inequalities

In this grade, students will study complex topics in the following subject areas:

Geometry:

• Line segments and angles
• Perpendicular and parallel lines
• Proofs of geometric theorems
• Right triangle relationships and geometric models
• Terminology related to circles
• Central angles and the midpoint formula
• Distance formula and coordinate geometry

Measurement:

• Conversion between different kinds of measurement
• Surface areas of various shapes

Data:

• Transformations of data
• Linear equations and data sets
• Sampling methods, randomized experiments and observational studies
• Correlation and causation

In addition to the topics covered during the previous grades, students will study:

• Matrices
• Non-linear and trigonometric functions
• Trigonometric equations
• The Law of Sines and the Law of Cosines
• Features and properties of functions
• Vectors, scalar multiplication and Cavalieri's Principle
• Probability distribution and probability concepts

#### Educational Tips

These courses on Algebra I, Algebra II and Geometry can help high school students go over the mathematics subjects that will be covered in these grades. They can complete practice tests to get extra practice and contact mathematics experts if they have any questions about what they're learning.

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