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7th grade Algebra topics for Secondary math learners

Topic icon key
eq
EquationEach item in the topic is in the form of an equation
id
IdentifyEach item in the topic is a thing
mi
Missing itemEach item in the topic is a statement with a missing term

10
Number of itemsThere are 10 items in this topic

8
Extended itemsAdditional questions for games and tests in this topic

Our math topics for 7th grade learners are designed to follow closely the Common Core standards for math for 7th grade pupils.

Algebra syllabus for 7th grade

The math curriculum for Algebra typically taught to students aged 12 to 13 builds upon the foundational mathematical concepts they have learned in previous years. It aims to introduce them to the fundamental principles of algebraic thinking and problem-solving. Here are some key topics and concepts that are typically covered in an Algebra curriculum for ages 12 to 13:

  1. Expressions and Equations: Students learn to translate word problems into algebraic expressions and equations. They work with variables, constants, and coefficients, and learn to simplify expressions and solve linear equations.

  2. Operations with Integers: Students expand their understanding of number systems to include integers (positive and negative whole numbers). They learn to perform operations such as addition, subtraction, multiplication, and division with integers.

  3. Linear Functions: Students explore linear functions, including their graphical representations and algebraic equations. They learn to calculate slope and interpret its meaning in real-world contexts. They also study the concepts of intercepts and the relationship between equations and graphs.

  4. Proportional Relationships: Students investigate proportional relationships between quantities. They learn to solve problems involving ratios, rates, and proportions, and understand concepts like direct variation and constant of proportionality.

  5. Solving Systems of Equations: Students are introduced to systems of linear equations and learn methods to solve them, including graphing, substitution, and elimination. They apply these techniques to real-world scenarios and learn to interpret the solutions.

  6. Exponents and Scientific Notation: Students delve into the properties and operations of exponents. They learn to simplify expressions with exponents, solve equations with exponents, and work with scientific notation to represent very large or very small numbers.

  7. Data Analysis: Students learn basic concepts of data analysis, including collecting, organizing, and interpreting data. They explore different types of graphs and charts and use them to draw conclusions and make predictions.

  8. Geometry: While not purely algebraic, geometry concepts often intersect with algebra at this stage. Students study geometric shapes, angles, area, perimeter, and volume, and use algebraic methods to solve geometry-related problems.

Throughout the curriculum, there is an emphasis on problem-solving, critical thinking, and mathematical reasoning. Students are encouraged to apply algebraic concepts to real-world situations and develop their ability to communicate their mathematical thinking verbally and in written form.

A topic is selected at the beginning of a session at Free Math Games and will be remembered when you move between games or activities. The math for the topic is carefully constructed to match the level of difficulty taught in US schools. This means that you as a secondary pupil should see similar math problems to those you are seeing at school (if you are at school) for any particular subject. Please let us know if that is not the case.

See the help box below for instructions on choosing a topic here at Free Math Games.

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How to choose a 7th grade Algebra topic for Secondary math

free-math.games screenshot of Choosing a Secondary math topic

Click on the "1. Start" button in the top navigation bar - that brings you to this Secondary level topic selection page. On the topic selection page you will see that the topics are divided up:

  1. By level (Preschool, Elementary and Secondary)
  2. By grade (6th to 8th for this level)
  3. Into broad categories

Since you are currently within the Secondary section of Free Math Games you will see the Secondary topics. The Secondary grades will have loaded. Choose your grade. The broad categories available will load. Click on a category to see the available sub-categories and topics.

Topics available for Secondary math Statistics -> Discrete data at free-math.games

For example, if you choose 7th grade, then the category: "Algebra" and the sub-category "Sequences" you will be offered a choice of sub-sub-categories and topics suitable for your school grade - in the case of this example, "Generating terms" and "nth term expressions". Click on each sub-sub-category to view the available topics.

When you click on the name of a topic, the topic will load into the lesson page (once a topic has loaded it will be available for all activities and will not have to be downloaded again) and the lesson start page will be displayed. You can choose to do the lesson or jump immediately to the games using that topic.

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