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7th grade Number 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.

Number syllabus for 7th grade

Here are some key aspects of the math curriculum for Number for students aged 12 to 13:

  1. Operations with Whole Numbers and Decimals: Students further develop their skills in performing operations with whole numbers and decimals. They expand their knowledge of mental calculation strategies and develop efficient methods for addition, subtraction, multiplication, and division. They solve more complex problems involving whole numbers and decimals.

  2. Fractions, Decimals, and Percentages: Students continue to deepen their understanding of fractions, decimals, and percentages. They work with mixed numbers, improper fractions, and recurring decimals. They learn to convert between fractions, decimals, and percentages and apply these concepts to solve real-world problems.

  3. Ratio and Proportion: Students explore ratios and proportions in greater depth. They learn to represent and simplify ratios, solve proportion problems, and apply proportional reasoning in various contexts. They solve problems involving rates, scale factors, and direct and inverse proportionality.

  4. Powers and Exponents: Students learn about powers and exponents. They explore the rules of exponents, including multiplying, dividing, and raising a power to a power. They apply these rules to simplify numerical expressions and solve problems involving powers and exponents.

  5. Square Roots and Cube Roots: Students are introduced to square roots and cube roots. They learn to find the square root and cube root of numbers and solve problems involving these operations. They explore the concept of perfect squares and perfect cubes.

  6. Prime Factorization and Common Factors: Students learn about prime factorization and the role of prime numbers. They decompose numbers into their prime factors and use prime factorization to find common factors and calculate the greatest common factor (GCF) and least common multiple (LCM) of numbers.

  7. Integers and Absolute Value: Students deepen their understanding of integers and absolute value. They explore the concept of negative numbers and perform operations with positive and negative integers. They solve problems involving integers and apply the concept of absolute value in various contexts.

  8. Number Patterns and Sequences: Students extend their knowledge of number patterns and sequences. They explore arithmetic and geometric sequences in greater depth and learn to find the nth term of a sequence. They analyze patterns and generalize relationships using algebraic expressions.

  9. Estimation and Approximation: Students continue to refine their skills in estimation and approximation. They learn to use rounding and mental calculation strategies to estimate results. They apply estimation to check the reasonableness of answers and solve problems involving large numbers, decimals, and fractions.

  10. Problem-Solving and Mathematical Reasoning: Students engage in problem-solving activities that require critical thinking and mathematical reasoning. They solve complex problems involving numbers and apply their knowledge to real-world scenarios. They communicate their solutions effectively, using appropriate mathematical language and notation.

Throughout the curriculum, students engage in hands-on activities, mathematical investigations, and problem-solving tasks to reinforce their understanding of numbers. They develop their skills in computation, estimation, logical reasoning, and mathematical communication.

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 Number 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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