Grade 7

79 Units, 181 Skills

Factoring and Primes - Practice

Unit 1

Digits and Divisibility - Intro

Unit 2

Speed, Distance, and Time - Intro

Unit 3

Exponents - Practice

Unit 4

Percentages - Intro

Unit 5

Cartesian Grid Basics - Practice

Unit 6

Geometry - Angles and Transformations - Practice

Unit 7

Exponents - Multiplication - Intro

Unit 8

Area and Perimeter Basic Shapes

Unit 9

Probability and Statistics - Mean, Median, and Mode - Practice

Unit 10

Multiplication - 2 and 3 Digit

Unit 11

Measurement - Units Intro - Metric

Unit 12

Geometry - Circle Concepts - Intro

Unit 13

Probability and Counting - Single Event - Practice

Unit 14

Time - Elapsed Time - Practice

Unit 15

Order of Operations - Practice

Unit 16

Geometry - Circle Circumference - Intro

Unit 17

Geometry - Shape Classification (3D) - Intro

Unit 18

Factoring and Venn Factor Diagrams - Practice

Unit 19

Percentages - Tax, Tips, and Discounts

Unit 20

Time - Elapsed Time, Negative - Practice

Unit 21

Rates and Ratios - Practice

Unit 22

Fraction Multiplication - Intro

Unit 23

Triangle Area - Practice

Unit 24

Squares and Square Roots - Intro

Unit 25

Algebra Basic Concepts - Intro

Unit 26

Factoring and Greatest Common Factor - Intro

Unit 27

Geometry - Circle Area - Intro

Unit 28

Decimal Multiplication - Practice

Unit 29

Factoring and Lowest Common Multiple - Intro

Unit 30

Fraction Addition and Subtraction - Practice

Unit 31

Scientific Notation - Intro

Unit 32

Fraction Comparing - Practice

Unit 33

Decimal Division - Practice

Unit 34

Fraction Addition and Subtraction, Mixed - Intro

Unit 35

Fraction Multiplication - Practice

Unit 36

Exponents - Division - Intro

Unit 37

Fractions and Decimals

Unit 38

Speed, Distance, and Time - Practice

Unit 39

Time - Elapsed Time - Advanced

Unit 40

Measurement - Units Practice - Metric

Unit 41

Exponents - Advanced

Unit 42

Fractions, Decimals, and Percents

Unit 43

Order of Operations - Advanced

Unit 44

Area and Perimeter Complex Shapes

Unit 45

Factoring and Primes - Advanced

Unit 46

Scientific Notation - Practice

Unit 47

Exponents - Multiplication and Division - Practice

Unit 48

Algebra Basic Concepts - Practice

Unit 49

Geometry - Shape Classification (3D) - Practice

Unit 50

Cartesian Grid Transformations - Intro

Unit 51

Triangle Area - Advanced

Unit 52

Geometry - Surface Area of 3D Shapes - Intro

Unit 53

Geometry - Volume of 3D Shapes - Intro

Unit 54

Rates and Ratios - Advanced

Unit 55

Probability and Counting - Single Event - Advanced

Unit 56

Patterning - Number Patterns Practice

Unit 57

Time - Elapsed Time, Negative - Advanced

Unit 58

Negative Integers - Intro

Unit 59

Division 3 by 2 Digit

Unit 60

Area and Perimeter Logic - Intro

Unit 61

Probability and Statistics - Counting and Probability Foundations

Unit 62

Factoring and Greatest Common Factor - Practice

Unit 63

Fraction Division - Intro

Unit 64

Geometry - Circle Area and Circumference - Practice

Unit 65

Geometry - Isosceles and Equilateral Triangles

Unit 66

Percentages - Practice

Unit 67

Digits and Divisibility - Practice

Unit 68

Cartesian Grid Geometry Logic - Intro

Unit 69

Pythagoras - Foundations

Unit 70

Decimal Multiplication - Advanced

Unit 71

Geometry - Intersecting, Parallel, and Perpendicular Lines

Unit 72

Percents and Simple Interest - Intro

Unit 73

Factoring and Lowest Common Multiple - Practice

Unit 74

Fraction Addition and Subtraction - Advanced

Unit 75

Squares and Square Roots - Practice

Unit 76

Decimal Division - Advanced

Unit 77

Fraction Addition and Subtraction, Mixed - Practice

Unit 78

Factoring, Multiplication, Division, Fractions - Intro

Unit 79

Scientific Notation - Intro

Unit 32

This math unit guides students through the foundational principles of scientific notation, beginning with understanding powers of ten in both simplified and expanded forms. Students first learn to express large numbers succinctly using powers of ten, advancing from recognizing the correct exponent representation to achieving fluency in expanding and simplifying exponential expressions. The unit then transitions into practical applications by requiring students to multiply decimals by powers of ten, solidifying their grasp of place value manipulation which is crucial for handling scientific notation. The core lessons progress to converting numbers between standard decimal form and scientific notation, with increasing levels of precision from zero to two decimal places. This gradual refinement helps consolidate the understanding of scientific notation, preparing students for more precise and sophisticated numerical computations. Lastly, the unit expands into practical applications, teaching students to apply scientific notation to real-world unit measurements in various disciplines, enhancing their capability to process and represent large numbers effectively in scientific and engineering contexts.more

Skills you will learn include:

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Learning through Game Play

At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Scientific Notation - Intro.

This math topic focuses on converting numbers from scientific notation to standard decimal form, specifically with one decimal place. It involves practicing how to appropriately shift the decimal point based on the exponent of ten. Each problem presents a number in scientific notation (decimals) and requires converting it to a standard numeric form, providing multiple-choice answers. This practice helps reinforce understanding of scientific notation, a fundamental concept in expressing very large or very small numbers succinctly.more

This math topic focuses on converting various large numbers into scientific notation with precision to 2 decimal places. The problems provide a number and multiple-choice answers, each depicting the number in scientific notation but with different exponents or coefficient formats. The task requires understanding how to express large numbers compactly and accurately using powers of ten while adhering to the standard form where the coefficient is a number ≥1 and <10. The goal is to strengthen skills in manipulating and understanding the structure of scientific notation. more

This math topic focuses on practicing the conversion of units into scientific notation, specifically exact digits, at an introductory level. Students tackle problems that require transforming various unit measurements—like gigawatts, gigaseconds, and terameters—into their scientific notation equivalents. Each problem provides multiple choice answers, where students must select the correct scientific notation that represents the given unit measurement accurately. This exercise helps strengthen understanding of scientific notation application in real-world quantities.more

Units to Scientific Notation (Level 2)

This math topic focuses on converting units to scientific notation and is part of an introductory module on scientific notation. The problems require students to transform various measurements, such as terabytes, gigaamps, terajoules, gigameters, teracandelas, terabytes again, and teragrams, into scientific notation. The exercises aim to enhance understanding of scientific notation, specifically with handling large numbers by expressing them as a product of a coefficient and a power of ten. These problems also help in recognizing and working with different metric prefixes and their corresponding powers of ten.more

Convert to Normal - 1 Decimal Places (Level 2)

This math topic focuses on converting numbers from scientific notation to standard decimal notation with one decimal place. Students practice interpreting scientific notation expressions and converting these expressions into expanded decimal form. The problems presented test the ability to correctly shift the decimal point based on the power of ten in the scientific notation, reinforcing an understanding of place value and the significance of exponents. This is a fundamental skill in scientific notation, essential for accurately representing and manipulating large or small numbers in various scientific and mathematical contexts.more

This math topic focuses on understanding and practicing the concept of expanded form representations using powers of ten, which is an introductory part of studying scientific notation. Students are tasked with converting numbers expressed in exponential form (e.g., \(10^3\), \(10^4\), etc.) into their respective expanded forms (e.g., \(10 \times 10 \times 10\) for \(10^3\)). The problems range from simpler cases such as \(10^0\) or \(10^1\) to more complex ones like \(10^7\), helping students reinforce their understanding of exponential notation and its expanded equivalent. Each question provides multiple choices, requiring students to select the correct expanded form. more

Convert to Normal - 2 Decimal Places (Level 2)

This math topic helps students practice converting numbers from scientific notation to standard decimal notation, focusing on maintaining accuracy up to two decimal places. Each problem presents a number in scientific notation and asks students to convert it into a decimal, providing multiple choice answers. This practice is positioned within an introductory lesson on scientific notation, aiming to build foundational understanding and skills in manipulating scientific notation forms.more

Convert to Normal - 2 Decimal Places (Level 4)

This math topic focuses on converting numbers from scientific notation to standard decimal form, specifically rounding to 2 decimal places. It is designed to enhance understanding of scientific notation, part of an introductory series on this subject. The problems require converting given scientific notations into regular numerals, offering multiple-choice answers to select from. Each question presents a different number in scientific notation, ensuring varied practice across the concept.more

This math topic focuses on converting measurements from standard units to scientific notation. It encompasses exercises that involve converting quantities such as megagrams, kiloamps, centimeters, micrograms, and milliamps into scientific notation by determining the correct power of ten to express the unit accurately in grams, meters, or amps. This topic aims to develop skills in handling and understanding different magnitudes through the scientific notation system, essential for accurate representation and calculation in various scientific contexts.more

This math topic practices skills related to the simplification of expressions involving powers of ten. It is tailored for beginners and is part of an introductory unit on scientific notation. The problems require calculating and identifying the simplified form of repeated multiplication of the number 10 raised to its appropriate power. Each question presents an expression and multiple-choice answers, where students need to select the correct power of ten that represents the given expression's simplified form.more

This math topic focuses on understanding and practicing the concept of "Powers of Ten" in simplified form. It forms part of an introductory unit on Scientific Notation. The problems ask students to find the simplified form of numbers expressed through repeated multiplication of tens, requiring them to identify the correct exponent representation of those expressions. The students are provided with multiple-choice answers for each question, helping them to consolidate their understanding of expressing large numbers succinctly using powers of ten.more

This math topic focuses on converting various numbers into scientific notation without any decimal places. Practice entails representing large numbers in the form of a digit multiplied by a power of 10. Throughout the exercises, students are given multiple-choice options as potential correct representations in scientific notation for numbers such as 40,000, 500, 400,000, 1,000, 700,000, 200,000, and 2,000. This task helps strengthen understanding and proficiency in expressing large numbers compactly and correctly using scientific notation.more

This math topic focuses on learning how to convert numbers into scientific notation with 0 decimal places. The problems provided are part of an introductory unit on scientific notation, designed to build a foundational understanding of this mathematical concept. Each question asks the learner to convert a given whole number (like 5, 2, 200, etc.) into the correct form of scientific notation by selecting the right answer from multiple choices, each presented as a mathematical expression in scientific notation.more

This math topic focuses on converting various numbers into their scientific notation forms with one decimal place accuracy. It involves understanding and applying the principles of scientific notation, which includes recognizing the significant figures in a number and expressing them as a product of a decimal number and a power of ten. Each question in the set presents a different number which needs to be converted, with multiple-choice answers provided, illustrated using LaTeX formatted images to display mathematical expressions clearly.more

Convert to Normal - 0 Decimal Places (Level 2)

This math topic practices converting numbers from scientific notation to standard form without decimal places. It is designed to reinforce understanding of scientific notation basics, specifically focusing on expressing numbers multiplied by powers of ten as whole numbers. The questions require converting a number in scientific notation (like 5 × 10^2 or 3 × 10^4) into its regular numerical form, and selecting the correct answer among multiple choices, such as 500, 50,000, etc., for each given expression.more

Convert to Normal - 0 Decimal Places (Level 1)

This math topic focuses on converting numbers from scientific notation to standard form, specifically with 0 decimal places. The problems are designed as multiple-choice questions, where each number is initially presented in scientific notation and the task is to calculate and select the correctly converted standard form from the given options. The exercise aims to reinforce understanding of the mathematical concept of powers of 10 as used in scientific notation. Each question varies the numbers and powers of ten to help practice this operation under different scenarios.more

This math topic focuses on converting various numbers into scientific notation, specifically to one decimal place. Each question provides a number and multiple answers in scientific notation, where the base is restricted to one decimal place and the exponent varies. The exercises aim to reinforce understanding of expressing large and small numbers efficiently using powers of ten, adhering to the structure of scientific notation.more

Convert to Normal - 0 Decimal Places (Level 3)

This math topic focuses on converting numbers from scientific notation to standard (normal) decimal notation without decimal places. It involves practicing the conversion of numbers expressed as a coefficient multiplied by ten raised to an exponent, translating these expressions into whole numbers. There are challenges presented at an introductory level to build foundational skills in handling scientific notation. Each question offers multiple-choice options, requiring selection of the accurately converted number from scientific to standard form. This is part of a broader unit on scientific notation aimed at enhancing understanding of expressing and managing large and small numbers efficiently.more

Convert to Normal - 0 Decimal Places (Level 4)

This math topic focuses on converting numbers from scientific notation to standard decimal notation without any decimal places. It is designed to enhance students' understanding of scientific notation fundamentals. Multiple-choice questions require students to identify the correct standard form of numbers expressed in scientific notation, such as converting expressions like "7 × 10^6" to "7,000,000". This set of problems is part of a broader introduction to scientific notation.more

This math topic focuses on practicing converting large numbers into scientific notation with zero decimal places. Each problem provides a number, such as 900,000 or 80,000,000, and asks students to express it in scientific notation. Multiple answer choices are offered, ensuring students understand the correct placement of numbers and exponents in scientific notation format. The topic is aimed at reinforcing the principles of scientific notation as an introduction to the subject.more

This math topic focuses on understanding and practicing the expanded form of numbers expressed with exponents, specifically powers of ten. It is part of an introductory unit on scientific notation. The problems challenge learners to convert expressions like \(10^1\), \(10^4\), \(10^3\), and \(10^2\) into their expanded forms. Multiple choices are provided for each question, indicating different ways the powers could potentially be expanded, and the students must select the correct one. This helps in reinforcing the concept of exponents and their application in mathematical operations. more

Units to Scientific Notation (Level 1)

This math topic is focused on teaching students how to convert standard units of various physical quantities into scientific notation. The specific problems provided vary in type, including units such as amps, centimeters, micrograms, and decimeters. Each question presents a different value that students need to rewrite as a power of ten, enhancing skills in understanding and applying scientific notation to real-world measurements. The exercises cater to introductory learning about scientific notation calculations and recognizing how to manipulate and express measurements in standardized exponential forms.more

This math topic focuses on practicing the conversion of numbers into scientific notation without any decimal places. It is an introductory level topic as part of a broader unit on scientific notation, designed to help students understand and apply the principles of expressing large numbers concisely. The worksheet includes various problems that require converting given numbers into their scientific notation forms, with multiple choice answers provided for each problem. This includes converting various large values, enhancing students' understanding of powers of ten and their application in scientific notation.more

Convert to Normal - 2 Decimal Places (Level 1)

This math topic centers on converting numbers from scientific notation to standard form, specifically rounded to two decimal places. It is an introductory set of problems aimed to help students understand and practice expressing large or small numbers in a more readable format using scientific notation. Each question provides a scientific notation that students need to convert to its equivalent normal numerical expression, offering multiple choice answers to assess their understanding.more

Convert to Normal - 1 Decimal Places (Level 4)

This math topic focuses on converting numbers from scientific notation to normal (or regular) notation with precision up to one decimal place. It targets understanding and application skills for interpreting the scientific notation, which is typically expressed as a decimal number multiplied by 10 raised to an exponent. Each problem in this topic presents a different number in scientific notation and multiple choice answers, where students must select the correctly converted number into standard form. This exercise helps strengthen students' grasp of both scientific notation and large numbers.more

Convert to Normal - 2 Decimal Places (Level 3)

This math topic focuses on converting numbers from scientific notation to regular notation, specifically rounding to 2 decimal places. It is part of an introductory unit on scientific notation, aiming to strengthen understanding and accuracy in translating complex scientific numbers into more understandable decimal forms. The problems involve various multipliers of ten, testing students' ability to handle and correctly place decimal points in large values as per the power of ten in the scientific notation. Each question offers multiple-choice answers, requiring students to select the correct decimal value.more

This math topic is focused on converting numbers from scientific notation to standard decimal notation, specifically rounding to one decimal place. Students will work on understanding the process of converting different numbers expressed in scientific notation—where a number is represented as a product of a decimal and a power of ten—into their regular decimal form. Each problem includes a number in scientific notation that the student must convert, with multiple-choice answers provided to assess their understanding. This is part of a broader introduction to scientific notation.more

Convert to Normal - 1 Decimal Places (Level 3)

This math topic focuses on converting numbers from scientific notation to standard decimal notation while maintaining accuracy to one decimal place. It is part of an introductory unit on scientific notation. The exercise includes seven questions, each presenting a number in scientific notation, such as \(9.6 \times 10^5\) or \(7.8 \times 10^5\), and requires the learner to convert these into regular notation. Each question offers multiple-choice answers, helping learners practice and reinforce their understanding of the power of ten in scientific notation.more

This math topic focuses on converting large numbers into scientific notation with one decimal place accuracy. It is designed to enhance understanding of how to express numbers in a format that uses a base (typically 10) raised to an exponent, which represents the number of places the decimal has been moved to convert the original number to a value between 1 and 10. Various examples provided require determining the correct form of scientific notation among multiple choices. This set of problems is part of an introductory unit on scientific notation.more

This math topic focuses on converting large numbers into scientific notation, specifically using one decimal place. It includes a series of problems that teach and assess the ability to express numbers like 2,000,000 or 96,000,000 in the scientific notation format with varying powers of ten. Students are presented with multiple potential answers for each number, allowing them to practice identifying correct representations in scientific notation format.more

This math topic focuses on converting various numbers into scientific notation, specifically rounding to two decimal places. Students practice determining the correct power of ten needed to express numbers as a product of a decimal and a power of ten. Each question provides multiple answer choices in the form of LaTeX-rendered scientific notation expressions, challenging students to identify the correct notation for numbers ranging from single digits to four-digit values. This is part of a broader introduction to scientific notation.more

This math topic focuses on practicing the conversion of standard decimal numbers into scientific notation with two decimal places. Each question provides a number that learners are expected to represent in scientific notation, testifying to different powers of ten. This conversion is crucial for understanding the handling and simplification of large and small numbers, pertinent to scientific and engineering disciplines. This is a part of an introductory unit on scientific notation, aiding learners in mastering precision and scale in numerical representations.more

This math topic focuses on converting various large numbers into scientific notation with two decimal places. The problems assess a student's ability to recognize and apply the correct format of scientific notation, which involves expressing a number as a product of a number between 1 and 10 and a power of 10. Each question presents a number and multiple-choice answers showing different renditions of the number in scientific notation, prompting students to select the correct one. This forms part of a beginner's introduction to understanding how to succinctly represent large numbers in science and mathematics.more

Decimal by Power of Ten (Scientific Notation Prep) (Level 4)

This math topic focuses on multiplying decimal numbers by powers of ten, which is a foundational skill for understanding scientific notation. The problems require students to multiply decimals by 10 or 100 and select the correct result from multiple choice options. This set of exercises is labeled as preparation for scientific notation concepts, indicating that it aims to build the necessary skills for more advanced topics in scientific notation. Each question presents a multiplication problem and multiple answers to choose from, testing the student's ability to perform and understand the operation correctly.more

Decimal by Power of Ten (Scientific Notation Prep) (Level 3)

This math topic focuses on practicing multiplication involving decimals and powers of ten, which serves as preparatory work for understanding scientific notation. Problems include multiplying small decimal numbers by powers like 10, 100, and 1,000. Each problem presents multiple choice answers, challenging students to identify the correct results of these multiplications. This topic is part of an introductory unit on scientific notation, enhancing foundational skills necessary for dealing with very large or very small numbers efficiently.more

Decimal by Power of Ten (Scientific Notation Prep) (Level 2)

This math topic focuses on practicing how to multiply decimals by powers of ten, a fundamental skill serving as preparation for understanding scientific notation. The problems presented involve calculating products such as 3.1 times 1,000, 2.4 times 10, and similar configurations with different decimal numbers multiplied by 10, 100, 1,000, and 10,000. Each problem offers multiple choice answers, helping learners differentiate between correct results and common miscalculations. This serves as an introduction to shifting decimal points—a crucial aspect of working with scientific notation.more

Decimal by Power of Ten (Scientific Notation Prep) (Level 1)

This math topic helps students practice multiplying decimals by powers of ten, a foundational skill for understanding scientific notation. It contains problems like multiplying 5.1 by 100 and 4.4 by 10, with multiple choice answers provided. This preparation is essential for students starting to learn about scientific notation, as it familiarizes them with manipulating place values and the effect of multiplying by 10, 100, and 1000 on decimal numbers.more

This math topic focuses on calculating powers of ten, an integral part of understanding scientific notation. It consists of problems where students must find the result when a number, represented in the form of 10 raised to different exponents, is calculated. The exponents practiced here range from 0 to 7, providing a variety of basic and intermediate challenges suitable for reinforcing how exponent values affect the size of the resulting number.more

This math topic focuses on calculating powers of ten, an essential skill intended for beginners as part of an introduction to scientific notation. The problems consist of determining the result when ten is raised to an exponent, such as 10^2, 10^1, 10^4, and 10^3, allowing learners to practice understanding and computing basic exponents. Each question provides multiple choice answers, further aiding in mastering the computation of powers of ten.more

Convert to Normal - 1 Decimal Places (Level 1)

This math topic focuses on converting numbers from scientific notation to standard form, specifically rounding to one decimal place. It's designed as an introductory practice to understand and manipulate scientific notation. Each problem presents a different number in scientific notation, challenging the student to accurately convert it to its standard decimal form. Multiple-choice answers are provided for each conversion task, testing the learner's ability to correctly interpret and compute the base and exponent components of scientific notation.more