## 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.

## Drawing And Describing 2D And 3D Figures 7th Grade Math Worksheets

Definition: In our everyday life, we always come across to different objects with different shapes and sizes. There are many things that surround us with shape such as circle, triangle,…

## Understanding Circumference and Area of a Circle 7th Grade Math Worksheets

Definition: Circle is a shape that we usually see in our everyday lives. From the food that we eat to the things we use daily, we see the shape circle….

## Solving Word Problems Involving Linear Equations and Linear Inequalities 7th Grade Math Worksheets

Definition: Linear Equation is composed of variables and constants. Its standard equation is in the form y = mx + b. It forms a straight line when graphed in a cartesian…

## Understanding Supplementary, Complementary, Vertical and Adjacent Angles 7th Grade Math Worksheets

Definition: In Geometry, angle defined as a figure formed by the two rays that meet at one common endpoint.  Summary: The concept of angles is very important because it is associated in…

## Converting Rational Numbers to Decimals Using Long Method 7th Grade Math Worksheets

Definition: A rational number is a number that can be expressed as a fraction. It can also be represented by decimal numbers that are either terminating or repeating. Summary: Long…

## Solving Problems Involving Scale Drawings of Geometric Figures 7th Grade Math Worksheets

Definition: Scale drawings are used to easily illustrate and compute the actual sizes of objects that are inconvenient to draw. Summary: Scale drawing is commonly used by architects and engineers…

## Factoring and Expanding Linear Expressions with Rational Coefficients 7th Grade Math Worksheets

Definition: Factoring and expanding linear expressions are two ways to simplify algebraic expressions. Factoring can be done with the concept of greatest common factor while expanding can be done with the application of…

## Adding and Subtracting Linear Expressions with Rational Coefficients 7th Grade Math Worksheets

Resource Examples Click any of the example images below to view a larger version.

## Understanding the probabilities of Simple and Compound events 7th Grade Math Worksheets

Definition: The chance of an event to happen is called a probability. An event can be simple or compound. Summary: The probability of an event P (E) can be determined by…

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.