## In this section, you can view all of our seventh-grade math worksheets and resources. These include common-core aligned, themed and age-specific worksheets. Perfect to use in the classroom or homeschooling environment.

We add dozens of new worksheets and materials for math teachers and homeschool parents every month. Below are the latest grade 7 worksheets added to the site.

## Fundamental Counting Principle (Birthday Party Themed) Worksheets

Definition Fundamental counting principle is a method or rule that allows you to find the size of the sample space or  total number of outcomes for a given situation, event…

## Statistical Questions (Research Themed) Worksheets

Definition Statistics is a form of mathematical analysis that utilizes quantified models, representations and synopses for a given set of experimental data or real-life studies.  It studies methodologies to gather,…

## Measures of Variability (Basketball Themed) Worksheets

Definition Measures of variability is the calculation of the amount of dispersion of the scores/values around the mean, median, or mode. Variability can also be mathematically associated with the terms…

## Measures of Central Tendency (Academy Themed) Worksheets

Definition In statistics, the central tendency is considered as the descriptive summary of a data set or distribution. By calculating the single value from the dataset, it reflects the centre…

## Circumference of a Circle (Summer Party Themed) Worksheets

Definition Circumference of a circle is considered as the perimeter of a circle. It is a distance around a circle or what we call the arc length. Summary    Formula:  C…

## Division of Integers with Like Signs (Transportation Themed) Worksheets

Definition Dividing integers is the fourth fundamental operation in mathematics. It involves the sign ‘÷’.  Summary When getting the result of the integers with like signs, simply perform the division…

## Algebraic Expressions (International Yoga Day Themed) Worksheets

Definition A variable is a symbol, usually a letter, used to represent an unknown number.  A variable,  a number, or a number and variable combined by multiplication or division is…

## One-Variable Equations (Employment Themed) Worksheets

Definition In algebra, an equation can be defined as a mathematical sentence composed of an equal symbol between two algebraic expressions that have the same value. One-variable equation is a…

## One-variable Inequalities (Time Themed) Worksheets

Definition Inequalities are mathematical expressions that use the symbols >, <, ≥ and ≤. Solving inequalities means to find a range or set of values that an unknown variable can…

## Volume of Cubes and Rectangular Prisms (Furniture Themed) Worksheets

Definition Volume is measured in “cubic” units. The volume of a figure is equal to the number of cubes required to fill it completely, like blocks in a box. Summary…

## Applying Concept of Inferential Statistics (Estimation of Parameters) 7th Grade Math Worksheets

Definition: Inferential Statistics uses a random sample of data from a given population or from a larger amount of sample. It is also known as Null Hypothesis Testing. Summary: The…

## Solving Word Problems Involving Rational Numbers 7th Grade Math Worksheets

Definition: We often encounter rational numbers in real life situations. For example, when buying fruits and vegetables in the market, counting the number of eggs harvested from the farm, the…

## Drawing Inferences About A Population With an Unknown Characteristic 7th Grade Math Worksheets

Definition: Drawing inferences is very important especially in dealing with large number of population or sample data. In this worksheet, you will further understand how to draw inferences about a…

## Understanding Basic Statistical Terms and Sampling Techniques 7th Grade Math Worksheets

Definition: Statistics is the branch of mathematics that deals with the collection, organization, analysis and interpretation of numerical data to come up with conclusions and useful information.  Summary: BASIC STATISTICAL…

## Solving word problems associated with fractions 7th Grade Math Worksheets

Definition: Fraction is part of our everyday life. We often encounter this number wherever we go. A fraction is a number that has a numerator, the top part, and a…

## Applying the Properties of Equalities Involving Linear Equations 7th Grade Math Worksheets

Definition: In algebra, we always encounter equations specifically linear equation in one variable. The standard form of  this equation is ax + b = c. How do we actually solve…

## Making Statistical Inferences Using Measures of Central Tendency and Variability 7th Grade Math Worksheets

Definition: A measure of central tendency is a quantitative representation of the data under exploration or investigation. A measure of variability  is a summarized statistic that represents the amount of…

## Understanding Fundamental Counting Principle and Probability of Events 7th Grade Math Worksheets

Definition: The Fundamental Counting Principle is also called the counting rule. It is a way to identify the number of outcomes in a probability word problem. Probability is the chance or the…

## Solving Area, Volume, and Surface Area of 2D and 3D Objects 7th Grade Math Worksheets

Definition: In dealing with geometry, the concept of Area is very important. Area is the space bounded by a shape. There are different formulas on how to compute the area…

## Solving Proportional Relationships Between Two Quantities 7th Grade Math Worksheets

Definition: A proportional relationship is the linkage in which two variables or quantities vary directly with each other.  Summary: A relationship between two variables or quantities is considered proportional when…

Learning objectives:

In Grade 7, instructional time should focus on four integral areas:

(1) begin to create an understanding of and applying proportional relationships;

(2) developing an understanding of operations with rational numbers algebraic expressions and linear equations;

(3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and

(4) figuring out inferences about populations based on samples.

a. Conceptual skills

• Learners distinguish proportional relationships from other types of relationships.
• They exhibit an integrated understanding of numbers, recognize fractions, decimals (e.g. repeating, terminating), and percents as different representations of rational numbers.
• They widen the connection of addition, subtraction, multiplication, and division to all rational numbers, in relation to the properties of operations and the relationships between addition and subtraction, and multiplication and division.
• They rationalize relationships among two-dimensional figures using scale drawings and informal geometric constructions, and they gain familiarity with the relationships between angles formed by intersecting lines.

b. Procedural skills

• Learners in this level expand their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems.
• 7th graders sketch the graph of proportional relationships and relate that to the rate of change, informally as a measure of the steepness of the related line, called the slope.
• Learners are expected to resume their understanding of area from the previous level, solve problems involving the area and circumference of a circle and surface area of three dimensional objects.

c. Life skills

• By applying equality properties, and by making use of negative numbers in terms of everyday contexts (e.g., amounts owed or temperatures below zero), students explicate and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers.
• They use the arithmetic of rational numbers as they formulate expressions and equations in one variable from real-life scenarios and use these equations to solve related problems.
• They are expected to apply their understanding of ratios and proportionality to solve a wide variety of percent problems, including those involving discounts, interest, taxes, tips, and percent increase or decrease.
• Solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects.
• They build on their previous work with single data distributions to compare two data distributions and address questions about differences between populations. They begin informal work with random sampling to generate data sets and learn about the importance of representative samples for drawing inferences.
• Learners work with three-dimensional figures, relating them to two dimensional figures by examining cross-sections. They solve real-world and mathematical problems involving area, surface area, and volume of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.