Grade 7 Math Curriculum
Adding and Subtracting Rational Numbers
Rational numbers are numbers that can be expressed in the \(\frac{p}{q}\) form, where \(p\) and \(q\) are integers and \(q \neq 0\). Sixth grade math students will start their journey by learning to do addition and subtraction on rational numbers.
Rational numbers
The set of rational numbers are numbers that can be written in the form ab where a and b are integers and \(b \neq 0\). Rational numbers is the group of all numbers that seventh graders have already learned.
Properties of rational numbers
Finding the absolute values of rational numbers
Integers
Integers are numbers that can be written without a fractional component. Integers can be negative numbers, zero, or positive numbers.
Addition of integers
Addition of rational numbers
Now that students are familiar with rational numbers, they will learn to perform arithmetic operations on them—starting with the addition of rational numbers.
Subtraction of different types of rational numbers
Seventh grade students will enhance their understanding of rational numbers by learning to perform subtraction.
Operation on rational numbers
Multiplying and Dividing Rational Numbers
Learning multiplication and division of rational numbers is the next big step in getting familiarized with rational numbers. Here, students will solve seventh grade math problems for a thorough understanding of the concepts.
Multiplication of integers
Multiplication of integers is similar to the multiplication 7th graders are already familiar with, but with the exception of signs of numbers. So multiplication of integers will help students understand how the sign of a number changes while performing arithmetic operations on them.
Dividing operations on integers
As division is the inverse of multiplication, students can easily learn the division of integers. They will solve math problems for seventh graders to master the concept.
Operations on integers using signs and inductive reasoning
The sign of an integer can change after performing an operation on it. Students will focus on the conditions related to the sign change of integers.
Multiplication operation on rational numbers
Students will learn to perform multiplication operations on rational numbers by solving seventh grade math problems.
Division operations on rational numbers
Seventh graders will find it easy to perform the division of rational numbers as it is just the inverse operation of multiplication.
Conversion of mixed numbers
Here, students will learn to convert mixed numbers into improper fractions and then into decimals.
Expressions
Expressions are mathematical phrases made up of numbers, symbols, and unknown values called variables. Students learn about like terms. They further see how terms make up expressions and expressions make up equations.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas. We can represent and solve real-life problems or situations as mathematical expressions using algebraic concepts.
Algebra symbols
Basics of algebra
Variable
Operations on algebraic expressions
We can perform operations on algebraic expressions, just like how it is possible with arithmetic expressions. Students will solve 7th grade math problems based on different operations on algebraic expressions.
Distributive property on algebraic expressions
The distributive property is a number property that helps us evaluate algebraic expressions. Students will learn to use the distributive property with the help of solved examples.
Equations and Inequalities
An equation is a mathematical formula that expresses the equality of two expressions. On the other hand, inequality is a representation of a mathematical statement that compares expressions.
Algebraic Equations
Algebraic equations
Algebraic equations are mathematical formulas that contain mathematical symbols like numbers, operators, and variables.
Linear equations
Difference between linear and nonlinear equations
Solving equations using different operations: Addition and Subtraction
Seventh grade math students will learn to solve equations using simple operations like addition and subtraction.
Solving equations using different operations: Multiplication and Division
Now that seventh graders have learned to solve equations using addition and subtraction, they will learn how to use multiplication and division operations to solve algebraic equations.
Solving equations using different operations
In this section, students will learn to use multiple operations to solve an equation. Students can practice questions from this online math course to master this concept.
Inequalities and graphs of inequalities
Inequalities are representations of mathematical statements that compare expressions. Students will learn the basic concepts related to inequalities and the steps involved in plotting the graphs of inequalities.
Solving inequalities using different operations: Addition and Subtraction
Inequalities can be solved using simple operations like addition and subtraction, just like how students learned to solve equations.
Solving inequalities using different operations: Multiplication and Division
In this section, students will learn to use multiplication and division operations to solve inequalities.
Solving inequalities using different operations and graphing
Inequations can be solved using multiple math operations. Here, students will learn to graph inequalities after solving them.
Ratios and Proportion
Ratio and proportion are closely-related concepts. A ratio is a comparison between two quantities having the same unit. On the other hand, a proportion is an equation that states the equality between two ratios.
Ratios and ratio tables
We use ratios to compare two quantities of the same unit. For example, we use ratios to compare the number of apples to the number of oranges in a fruit basket. Students will learn to create a ratio table to express equivalent ratios.
Writing and interpreting ratios
Completing a ratio table
Identifying proportional relationships
Proportions are equations that express the equality of two ratios. Seventh graders will learn to identify proportional relationships among quantities using different properties.
Graphs of proportional relationships
Proportional relationships can be represented as a graph by plotting the points in the ratio table in a coordinate plane and drawing a line through them.
Solving ratio and proportion problems using scale drawings
A scale drawing is a two-dimensional drawing that represents an object, reduced or enlarged by a specific factor.
Scale factor
Percents
A percent is a number or a ratio expressed as a fraction of 100. We use percents to express scores, discounts, markup, and so on. Students will learn how to calculate percents by solving different problems in this free online math course.
Fractions, decimals, and percents
Fractions, decimals, and percentages are different ways of expressing the same quantity. Seventh graders will learn to interconvert fractions, decimals, and percents.
Percent to find the missing quantities
In this section, seventh grade math students will learn to find missing or unknown quantities using percents.
Percents of increase and decrease
A change in value can be expressed using percents. Students will learn separate formulas to calculate the percent increase and percent decrease of values.
Discounts and markups
Discounts and markups are terms used quite frequently in business environments. In this section, 7th graders will learn formulas used to calculate discounts and markups by solving different problems based on real-life situations.
Simple interest
Interest is the price gained when money is borrowed or the cost charged to lend money. Seventh graders will learn the formula used to calculate simple interest. Simple interest is a method to calculate interest.
Probability
Probability is a branch of mathematics that deals with the numeric representation of how likely an event is to occur. Seventh grade math students are introduced to the concept of probability.
Probability
The chance or likelihood of an event occurring can be described mathematically using the concept of probability. Students will learn to find the probability of an event by using the concept of relative frequency. They will also solve seventh grade math problems based on the same concept.
Probability and statistics
Experimental and theoretical probability
Any two of the approaches can be used for finding the probability of an event occurring: experimental probability and theoretical probability. Seventh graders will learn both methods and the differences between them.
Compound events
A compound event consists of multiple simple events happening simultaneously or in succession. Here, 7th grade students will learn the method of calculating the probability of outcomes of a compound event.
Sample space
Types of events in probability
Simulations in probability
A simulation is a virtual imitation of real-world events. We use simulations to replace real-world experiments when they are not feasible. Simulating events allows us to calculate the experimental probability without actually performing the experiment.
Statistics
Statistics is the branch of mathematics that deals with the collection, arrangement, analysis, interpretation, and display of data. Seventh grade math students will learn about statistical concepts related to sampling in detail.
Sampling
Sampling is a method of estimating the characteristics of a whole population by only studying a part of the population. Students will learn the concept of sampling and solve math problems for 7th graders.
Random sampling
Random sampling is a specific type of sampling in which each sample has an equal chance of being chosen. Here, 7th graders will solve math problems related to random sampling to master the concept.
Comparison of populations by random sampling
In this section, students will learn to compare populations using the concept of random sampling.
Geometric Shapes and Angles
Geometry is the study of the properties of points, lines, surfaces, and solids. Seventh grade students will learn geometric concepts about different shapes and the formulas for measuring the area, perimeter, and angle measures.
Geometry symbols
Seventh graders will come across different symbols while learning concepts related to geometry. They need to learn these geometric symbols in order to understand these concepts.
Parts of a circle
A circle is a round shape whose boundary consists of infinite points that are equidistant from a central point known as the center. Students will learn different parts and terms associated with circles.
Radius of a circle
Properties of circle
Semicircle
Value of pi
Calculating the area and circumference of a circle
Here, 7th grade students will learn the formula to calculate the area and circumference of circles.
Calculating the area and perimeter of composite figures
Composite figures are shapes made up of multiple two-dimensional shapes. Students will learn how to calculate the area and perimeter of composite figures.
Polygon construction using angles and side lengths
Seventh graders will learn to construct polygons whose measure of angles and lengths of sides are known.
Finding unknown angle measures
Finding unknown angles in figures is a combination of algebra and geometry. Here, seventh graders will learn to use different properties to find the measure of unknown angles.
Surface Area and Volume
Surface area and volume are terms that we use to measure or quantify the size of three-dimensional figures. In this chapter, students will learn different types of three-dimensional figures, their classifications, and the formulas related to them.
Prism
A prism is a three-dimensional shape in which two congruent polygonal faces which are the bases are connected by flat surfaces. Prisms are categorized based on the shape of their base. Students will learn the formulas used to find the area and volume of different types of prism.
Rectangular prisms
Triangular prisms
Surface area of prisms
Cylinder
A cylinder is a three-dimensional figure that is made up of two congruent circular bases with a curved surface connecting them. Seventh graders will learn the formula used to calculate the surface area of cylinders.
Surface area of a cylinder
Pyramids
A pyramid is a three-dimensional shape formed by connecting its lateral triangular faces to a common vertex known as the apex. Pyramids are categorized based on the shape of their base. This section focuses on different types of pyramids and the formulas associated with them.
Square pyramid
Surface area of a pyramid
Volumes of prisms
Volumes of rectangular prisms
Volumes of pyramids
Difference between area and volume
Area and volume are used for the same purpose—to measure the size of three-dimensional shapes. But these quantities are fundamentally different, and they are measured using different methods.
Cross sections of three-dimensional figures
A cross-section of a three-dimensional figure is a two-dimensional figure obtained by the intersection of a solid and a plane surface. In other words, it is the shape obtained by slicing a three-dimensional figure.
Make your child Math confident for life
Ace concepts of mathematics with personalized learning
Make your child Math confident for life
Ace concepts of mathematics with personalized learning
Helpful Resource for your Kids
Online Math Worksheets are an excellent learning tool that helps your child to focus on math while also teaching core fundamentals and step-by-step problem-solving skills. Click the links below to download grade 7 free printable math worksheets.
In the 7th grade, students will expand their knowledge in number theory by learning to perform operations on rational numbers and integers. 7th grade math students will also learn about expressions, equations, and the steps involved in solving them. They will also learn about ratios, percents, probability, and statistics. Finally, they will learn geometric concepts like surface area and volume of solids.
To learn 7th grade math concepts, students need to be fluent in arithmetics, solving algebraic equations, basic geometric and statistic concepts, and the concept of probability.
Seventh graders can improve their math skills by learning, revising, and practicing the concepts in the 7th grade math curriculum. The key to improving math skills is to practice a lot of questions. Students can make use of the free online math courses available at BYJU’S Math to achieve this goal.
Students will learn about geometric shapes like circles, composite figures and angles. Later on, they will learn how to calculate the surface area and volume of different three-dimensional shapes.