Math

Welcome to GradeAssess

We at GradeAssess have experienced the overwhelming number of variations in math education standards, as well as the rigorous demands of the Common Core. Teaching students math seems to never have been as complicated as it is today. As a result, math assessment has also become ambiguous, especially for homeschoolers. Where do our students really stand in math proficiency at each grade level?

That is why we have done our research and have created a curriculum that covers content in a progression that makes sense and aligns with standards that are widely used and accepted. Our content is not designed to confuse students or twist their brains in strange ways, as often is the case with new math books these days. Our content is straightforward, adaptive, and effective. We have organized the breakdown of our curriculum in a detailed yet easy-to- read Knowledge Branch that you will have access to anytime in GradeAssess. Using our program, you will be able to easily identify if your child or student is ready for the next grade’s math.

Our program provides access to a growing list of multiple choice assessments that you can take online using any browser and any device. For grade level math, they test (but are not limited to) four main areas of study: Geometry, Measurement and Data, Place Values and Base Ten, and Operations. We believe that speed in accumulating knowledge is not nearly as important as depth in understanding and complex transfer of knowledge when applying basic mathematical concepts to more advanced problems. Contrary to how math is often taught, we believe math learning is constructive, not rote memorization. First through third grade math is all about covering the basics thoroughly before taking a big step up from fourth grade onward.

Grade 1 Math
Geometry

Students begin to identify shapes in various sizes and colors, distinguishing them by the number of sides and corners. They also get exposed to the concept of equal parts of shapes, which serves as the basic foundation for fractions in the future.

Measurement and Understanding Data

Students begin to understand units of measuring length and receive exposure to simple data charts. They also learn how to read time on digital and analog clocks by the half hour, and how to count money.

Numbers and Place Value

Students learn to count up to 100 and what place values mean. They learn how place values are represented visually using blocks and mathematically using numbers.

Basic Operations

Students learn simple addition and subtraction with relatively small numbers (20 or less).

Grade 2 Math
Geometry

Students further execute their understanding of and analyze two-dimensional shapes. They are also exposed to shapes that are equally sectioned to visually represent fractions.

Measurement and Understanding Data

Students measure and estimate lengths, work with a variety of data charts, practice telling time by the quarter hour, and continue to practice counting money.

Numbers and Place Value

Students count up to 1000 and work with problems that involve the ones, tens, hundreds places. They learn to decompose numbers by place value and perform addition and subtraction using place values.

Basic Operations

Students practice addition and subtraction with relatively small numbers (20 or less), learning how to apply these operations to word problems and represent it visually. They also begin to think about equal groups of objects as an introduction into multiplication.

Grade 3 Math
Geometry

Students compare properties of two-dimensional shapes by their sides and angles and tie the concept of equal parts of shapes to unit fractions.

Measurement and Understanding Data

Along with practicing what has been learned thus far, students learn about units of mass and volume. They also begin learning the basics of area and perimeter in unit squares, integrating multiplication and addition.

Numbers and Place Value

Students practice writing numbers in expanded form by their place values, and start solving problems that require rounding and estimating.

Basic Operations

Students begin to formally learn multiplication and division within 100 and solve arithmetic problems that involve all four operations. They also engage in simple word problems that represent multiplication and division in real-life applications.

Fractions

Students begin to formally learn about fractions (numerator and denominator) and how to compare their magnitudes using visual representations.

Grade 4 Math
Geometry

Students begin learning the different classifications of lines (parallel and perpendicular) and angles, and are asked to identify shapes by their lines and angles.

Measurement and Understanding Data

Students practice representing word problems with graphs and diagrams, and analyzing data that is given to solve problems. They continue to solve more advanced problems about time, measurement units, money, and unit price.

Numbers and Place Value

Students understand place value up to the millions and perform arithmetic operations as before. They also learn about multiples of 10 which serve as the foundation for scientific notation in the future.

Operations

Students learn what factors and multiples are, and are prompted to identify patterns in problems. They also begin practicing long division.

Fractions and Decimals

Students begin to learn about equivalent fractions and reducibility of fractions, and practice listing fractions on increasing or decreasing order. They also learn about decimals and how to convert simple fractions to decimals.

Grade 5 Math
Geometry

Students begin learning about coordinate graphs and the different parts of these graphs (x- and y-axis, quadrants, how to write out a point on the graph).

Measurement and Understanding Data

Students are introduced to geometric volume of three-dimensional shapes. They will learn by counting unit cubes and by invoking simple formulas for volume to solve problems.

Numbers and Place Value

Students will practice solving basic and advanced problems with decimals up to the hundredths, as well as increase number sense by estimating and understanding place values in decimals and whole numbers. They will also be introduced to scientific notation.

Operations

Students continue to increase their knowledge and ability in identifying patterns and relationships in problems. They also start building the groundwork for Pre-Algebra by learning about what equations are and what they mean so that later they may be equipped to manipulate them.

Fractions

Students practice fluency in fractions—equivalent fractions, mixed numbers, operations with fractions—and get exposed to more word problems involving fractions.

*Grade 5 Math currently is not available in GradeAssess

Grade 6 Math
Geometry

Students take volume, area, and perimeter further by solving real-world mathematical problems using these skills.

Expressions and Equations

Students are introduced to the first topics in Pre-Algebra. These include the concept of a variable, variable expressions and equations, and what it means to have more than one variable.

Number System

On top of practicing operations with whole number, fractions, and decimals, students will be introduced to number theory concepts such as GCF (Greatest Common Factor) and LCM (Least Common Multiple).

Ratios and Proportions

This is a new concept where students will implement their knowledge of fractions to ratios in real-world problems. They will also apply their knowledge of decimals—especially converting them to fractions—when learning about percents.

Statistics and Probability

Students are introduced to basic statistical analysis such as mean, median, and mode. They learn about different ways of recording data to show the distribution (bar graphs, box-and-whisker plots, etc.) and practice interpreting given data. Students are also taught the concept of probability and how we can calculate the likelihood of an independent event.

*Grade 6 Math currently is not available in GradeAssess

Algebra 1

Our Algebra 1 curriculum covers the standard algebra topics as well as the last few topics of Pre-Algebra and additional topics that can be optional such as Regression and Sequences. This is to ensure that students coming into Algebra 1 have a strong foundation from Pre-Algebra and have full range of possibilities to learn as much about Algebra 1 as they wish. Our progression of lessons was designed to be as constructive as possible so that students who struggle can simply go back and target the basic principles.

Pre-Algebra Review

This section reviews important concepts from Pre-Algebra that will be necessary for achievement in Algebra 1. Some topics include solving linear equations and inequalities, understanding real numbers, and solving algebraic word problems.

Functions

Students are introduced to the concept of a function and reinforced using graphical methods. They will learn terminology for different characteristics of a function (constant, increasing, decreasing) and other terms that are associated with functions (domain, range, etc.). They will get accustomed to function notation and evaluating functions using graphs.

Lines

Students will practice and master solving problems with lines. This includes solving for slope and intercepts, knowing different forms of line equations, being comfortable with discontinuous line graphs, and how a line graph is formed from a data table.

Linear Systems

This section utilizes the content learned in Lines and applies them to linear systems of equations and inequalities. Students will practice solving these systems both algebraically and graphically.

Absolute Value

Students are introduced to the concept of absolute value and begin solving basic absolute value problems. For more advanced students, there are also problems related to graphs of absolute value equations.

Polynomials

Students who understand linear variables will continue on to learn about variables in higher degrees. They will learn the terms that classify different polynomials, how to solve arithmetic problems with polynomials, and factoring.

Transformations

Once students are familiar with graphs, they will learn how to manipulate graphs and equations by transforming them. This includes reflection, dilation, translation, and a combination of these.

Quadratic Functions

Students who are comfortable with linear functions will move on to learning about quadratic functions. They will learn what a solution to a quadratic function means, how to find the solutions using various methods, and how to write a quadratic function in vertex and standard form. Graphing quadratic functions is also included in this section.

Exponential Functions

Students will be introduced to the concept of exponents and learn their various properties in different arithmetic situations. They will apply this knowledge to solving equations with exponents and learn about scientific notation.

Root and Radicals

Students will learn about and practice problems on radicals. This section will cover the definition of radicals, how to simplify them, and how to solve equations with radicals. For advanced students, there is a topic on how to graph radical functions.

Additional Topics

Our additional topics include Sequences and Statistics, which are not conventionally part of the standardized Algebra 1 curriculum but are taught in many classrooms. Sequences is a more advanced topic that requires proficiency in basic topics in order to master. Statistics, on the other hand, is not as related to the other topics and can be covered separately. This category covers different statistical measures, gathering and interpreting data in tables, and analyzing graphs.

Grade 7-12 Coming Soon
Pardon the construction, but more content is on the way!