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
This math unit initiates with an introduction to the mathematical constant Pi, progressing to defining and naming aspects of a circle and identifying its various parts, such as radius, diameter, and circumference. As the unit advances, students focus on applying their knowledge to calculate the area of a circle using both radius and diameter. They practice these calculations with and without a calculator, and are guided by hints to strengthen their understanding. The unit emphasizes approximating values when multiplying by Pi and consistently applies the formula \( A = \pi r^2 \) to solve area problems. Towards the end, students express their answers in terms of Pi, elevating their ability to handle abstract representations and enhancing their overall competence in circle geometry. This progression ensures a thorough comprehension of circle-related calculations and their applications in geometry.more
Skills you will learn include:
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 Geometry - Circle Area - Intro.
This math topic focuses on practicing the approximation of numbers multiplied by π (Pi, approximately 3.14). It is structured to enhance understanding of multiplying numbers by Pi, rounding to various precisions, and is targeted as an introductory section to learning the circumference of circles in geometry. The problems present a multiplication of a whole number by 3.14 and ask students to choose an approximate result from a list of options, sharpening their skills in basic geometry calculations and approximation.more
This math topic focuses on calculating the diameter of a circle given its area, expressed in terms of π (pi) times a squared value. The problems require understanding the formula for the area of a circle (A = πr^2) and manipulating it to solve for the circle’s diameter. Questions are presented with multiple-choice answers, testing the ability to reverse-engineer the area equation to derive the diameter. This requires basic algebraic skills and a grasp of geometric principles concerning circles, enhancing students' ability to apply theoretical knowledge practically.more
This math topic covers the skill of calculating the area of a circle using the value of π (pi). It is designed for learners at a Level 2 proficiency in the broader context of introductory circle geometry. The problems require students to determine the area given the circle's dimensions, presenting their answers in terms of π with multiple choice answers available. These exercises help reinforce understanding of the circle area formula and applying π in practical context.more
This math topic covers finding the radius of a circle given its diameter, enhancing skills in elementary geometry. As part of an introductory series on cylinders, this topic requires the practical application of the formula, where the radius is half the diameter. Each problem presents a specific circle, and the students must calculate and choose the correct radius from a set of multiple-choice answers. This exercise helps develop a foundational understanding of circle geometry, essential for further study in more complex geometric shapes like cylinders.more
This math topic focuses on the skill of calculating the diameter of a circle from a given radius. It involves applying the basic geometric formula where the diameter is twice the radius (D = 2r). This forms part of a broader study on 2D shape classification within geometry. This practice includes multiple problems that provide a radius, and students are required to find the correct diameter, enhancing their understanding of circle properties and calculations related to circle measurements.more
This math topic practices the skill of finding the area of a circle in terms of Pi (π). It is part of a broader unit on the surface area of 3D shapes within the field of geometry. Students are presented with various problems featuring different circles, and they choose the correct area from several provided options expressed in terms of Pi. This practice helps students understand how to calculate the area of a circle using Pi.more
This math topic focuses on calculating the area of a circle using the radius and the mathematical constant π (pi). Learners are asked to express the area as a function of π for various circles, which involves applying the formula for the area of a circle: A = πr² (where 'r' is the radius). The exercises are varied, providing multiple-choice answers for each circle's area, listed in terms of π. This topic is designed to enhance understanding of geometry, specifically in the context of cylinders, and is part of an introductory module on this subject.more
This math topic focuses on calculating the area of a circle from its diameter using the value of Pi (π). It's suitable for learners engaging with introductory concepts in geometry, specifically relating to circle areas. The questions provide diagrams of circles with given diameters and students must determine the circle's area, returning their answers in terms of π. Each question includes a set of multiple-choice answers, all represented in LaTeX, enhancing visualization and calculation accuracy. This activity aids in understanding the application of the formula for the area of a circle, \( A = πr^2 \), through practical problems.more
This math topic focuses on calculating the area of a circle as a function of π. It begins with introductory geometry concepts related to the area of circles using given radii. The exercise involves multiple-choice questions where students must choose the correct area expression, written in terms of π, for various circle diagrams. Each question provides a selection of possible answers in the form of expressions multiplied by π, enhancing students' understanding of the relationship between the radius of a circle and its area. This topic is essential for learning how circle areas are derived and computed.more
This math topic focuses on calculating the area of a circle using its diameter and expressing the answer in terms of pi (π). Students begin by identifying the formula to calculate the area from the diameter and then apply this to different questions. The topic touches upon basic geometry skills, particularly dealing with circle areas. It is introductory and likely suited for learners new to geometrical calculations involving circles. The tasks are presented as multiple-choice questions with several possible answers given in the form of pi, challenging students to select the correct one. This topic is part of an introductory unit on circle areas.more
Level 2
This math topic covers the area of a circle, a subtopic in Geometry. It involves calculating the area of circles of different sizes without the use of a calculator. The learner is reminded that Pi is slightly more than 3. Some basic understanding of geometry, particularly cylinders, is also integrated. The task includes six questions, each requiring the computation of the areas of circles from different problems. Solutions are provided for each question. more
Level 1
This topic focuses on developing students' understanding of the concept of 'Area of a Circle'. Each question requires students to compute the area of a circle, using the knowledge that the value of π is a little more than 3. All questions challenge students to perform these calculations without a calculator. This essential skill is a part of the broader unit on 'Geometry - Volume of 3D Shapes - Intro'.more
This math topic focuses on calculating the area of a circle. The learners are expected to solve various problems to find the area of a circle using a calculator. All problems are structured similarly, each providing an image of a circle for which the area needs to be calculated. Each problem offers multiple possible answers, adding an element of choice and enhancing the difficulty level. It's a part of a broader unit titled 'Geometry - Circle Area - Intro'.more
Level 1
This math topic practices the understanding and identification of Pi as the ratio of a circle's circumference to its diameter. It consists of several multiple-choice questions where students must select the correct numerical value of Pi from given options. Each problem reinforces the conceptual knowledge of Pi and its representation as an irrational number, approximately 3.14, contextualized within basic geometry involving circles.more
This math topic involves calculations related to the area of a circle. It's part of a larger unit focused on geometry, specifically the surface area of 3D shapes. Questions include diagrams of various circles, and the task is to calculate their area, with the assistance of a calculator, providing a wide range of possible solutions. This gives students an opportunity to practice calculating circular areas and to strengthen their geometry skills.more
This math topic focuses on the calculation of the area of a circle. It provides learners with hands-on practice using the formula A = πr², where r = d/2. The questions require students to apply this formula to compute the area of various circles. Each question is accompanied by multiple answers. The practice is designed to support the broader unit on 'Geometry - Circle Area - Introduction', enhancing understanding in this key area of geometric measurement.more
Level 2
This math topic focuses on calculating the area of a circle using the radius. It's part of a broader unit on introductory geometry, specifically concerning the area of circles. The tasks encourage students to find the area without using a calculator, and provides a useful hint that pi is just slightly over 3. The problems have been designed to help improve the understanding of circle geometry and enhance critical thinking skills.more
This math topic focuses on the concept of calculating the area of a circle given its diameter. The practice problems, which are part of Geometry - Circle Area - Intro, require students to find the area without using a calculator and with approximation that π is slightly more than 3. It covers different levels of complexity, providing multiple choice answers to each problem.more
This topic is focused on the calculation of the area of a circle using the diameter. It's a fundamental aspect of Geometry, specifically focusing on the introductory knowledge of the area of a circle. The practice involves performing non-calculator computations, reinforcing the need to understand and apply the appropriate mathematical formula offline. It presents five different questions, each followed by multiple potential answers for students to choose from.more
This math topic offers practice on calculating the area of a circle. It guides learning by providing hints and calculators for assistance. The exercises require the learner to use the given formula: A = πr² and r = d/2, where A represents the area, r the radius, and d the diameter of the circle. It incorporates visual aids in the form of SVG images to illustrate the math problems. This topic is part of a broader unit on geometry, specifically focusing on circle areas.more
This math topic focuses on the area of a circle, specifically calculating it from the diameter. It's part of a broader unit under Geometry - Circle Area - Intro. The problems given require the student to find the area of various circles, by using given diameters and a calculator, which would then reinforce their understanding of the formula for the area of a circle.more
This math topic focuses on learning and practicing how to calculate the area of a circle given the diameter. This topic falls under the broader unit of "Geometry - Circle Area - Intro." The problems involve using a calculator to compute the area of a circle from different given diameters. The topic seems to provide several incredibly varied answers for students to check their comprehension.more
Level 1
This math topic focuses on understanding the definition of the mathematical constant Pi (π), contextualized within the unit "Geometry - Circle Circumference - Intro." It delves into different mathematical expressions and relationships involving circle measurements, like the circumference, diameter, radius, chord, and tangent. Each question asks to identify the correct definition of Pi among various mathematical expressions, reinforcing students’ understanding of the fundamental properties of circles and enhancing their ability to manipulate and relate geometric terms mathematically.more
Level 1
This math topic focuses on understanding the number π (pi) as the ratio of a circle's circumference to its diameter. Students are asked to identify which mathematical expression correctly represents the value of pi from provided options. Each question presents a slightly different approximation of pi (3.14159, 3.14, 3.1416, 3.142) and various ratios involving circle parameters such as circumference, diameter, radius, chord, and tangent. These problems are fundamental in the unit of geometry that introduces the concepts of circle circumference.more
Level 1
This math topic focuses on identifying various parts of a circle. It includes questions where learners must name different circle components, such as chord, center, tangent, arc, circumference, sector, segment, radius, and diameter. Each problem presents a diagram of a circle with an arrow pointing to a specific part, and the learner is tasked to identify that part from multiple choices. This area of study falls under the broader category of introductory geometry basics.more
This math topic focuses on the relationship between the radius and diameter of a circle. Learners are tasked with calculating the diameter from given radius values of various circles. This fundamental concept falls under the broader area of 2D geometry and shape classification. The activity aims to strengthen the understanding that the diameter is twice the length of the radius through several practice questions.more
This math topic focuses on the skill of calculating the radius of a circle given its diameter. It is part of a broader unit on classifying 2D shapes within geometry. Each problem provides a specific diameter, and students are required to find the corresponding radius, enhancing their understanding of circle properties and relationships. Multiple-choice answers are given for each question, promoting practice in basic arithmetic operations and reinforcing the concept that the radius is half of the diameter. This topic serves as practical geometry application and problem-solving exercise.more
This math topic focuses on calculating the area of a circle using its radius. It involves deriving equations for area based on each circle's given radius or other depicted measurements. Each question in the topic requires identifying and applying the correct area formula, \( \pi r^2 \), from multiple-choice answers, emphasizing the practical application of the formula in geometry, specifically within the context of introductory lessons on circle areas.more
This math topic focuses on determining the radius of a circle from its area. It challenges the student's understanding of the formula for the area of a circle, \( A = \pi r^2 \), by having them reverse-engineer the equation to find the value of \( r \) (radius). Presented with LaTeX-rendered equations for the area expressed in terms of \( \pi \) and a square value, students must select the correct radius value from multiple choices given in each problem. The overall theme falls under introductory circle geometry, enhancing skills in working with pi (\( \pi \)), squares, and basic algebraic manipulation.more
This math topic focuses on determining the area of a circle from given radii. Key tasks involve converting the radius into the area formula, which is \( \pi r^2 \), and evaluating the expression to find the correct area equation. The problems require students to apply the squared value of the radius and multiply by \( \pi \) to achieve the correct answers. This topic is an introductory level unit on geometric calculations involving circle areas, enhancing students' abilities to work with exponents in the context of geometric formulas.more
Level 1
This math topic focuses on understanding the relationship between the diameter and radius of a circle, which is foundational in 2-dimensional geometry. Specifically, it provides problems that practice finding the radius when given the diameter. The questions are simple and are part of a broader module on classifying 2D shapes. Each problem presents several answer choices, only one of which correctly identifies that the radius is half the diameter of the circle. This topic allows for revision and reinforcement of basic circle geometry concepts.more
In this math topic, students practice finding the area of a circle given its diameter. They use the formula A = πr², where r is half of the diameter, to calculate the area. This topic represents a broader unit on Geometry, focused specifically on the area of a circle. A hint and a calculator are provided to aid the learning process. To assist in understanding, various questions are listed with corresponding solutions. The topic forms an important part of Geometry.more
Level 1
This math topic focuses on understanding the relationship between the radius and diameter of a circle. It explores the simple rule that the diameter is twice the length of the radius. Targeting beginners, the topic tests this concept through multiple-choice questions, helping learners identify the correct relationship amidst various incorrect options. Each question presents the same inquiry—how the radius 'r' relates to the diameter 'd'—with varied erroneous answers given plus the correct one. This is part of a larger unit on 2D shape classification within geometry.more
Level 1
This is a math topic centered on learning and practicing the calculation of the area of a circle from its radius. It is a part of geometry, specifically the introductory components of determining a circle's area. The topic instructs students to calculate the area without using a calculator and encourages the estimation of pi as a number slightly more than 3. The topic provides multiple-choice questions with answer options to facilitate understanding and application of the formula for finding the area of a circle.more
This math topic focuses on the area of a circle, emphasizing how to calculate it from the diameter. The students use the formula A = πr², where r is half the diameter (d/2), to solve the problems. This topic provides step-by-step guidance, hints, as well as a calculator for each problem. It forms part of an introductory unit on Geometry with a special focus on circle areas.more
Level 2
This topic focuses on identifying the ratio of a circle's circumference to its diameter, known as Pi. It includes problems where the name "Pi" has to be chosen from among various multiple-choice options like Pizza, Pontificate, Pixar, Portal, Pegasus, Pastrami, Practice, and Parallel. The overall objective of the problems is to reinforce the understanding of Pi in the context of circle geometry, specifically pertaining to its circumference. This topic is part of an introductory unit on circle circumference in geometry.more
Level 1
This math topic focuses on familiarizing students with the constant Pi (π), teaching its approximate numerical value as part of a unit on geometry concerning the circumference of circles. Students are presented with multiple-choice questions where they must identify Pi from a set of possible answers. Each problem provides different numerical options, and students need to select the value closest to 3.14, the common approximation for Pi.more
This math topic focuses on calculating the area of a circle, given the radius, using the formula \( \pi \times \text{radius}^2 \). It involves solving problems with decimal and whole number results. The content is suitable for learners at an introductory level of circle area in geometry. Each question requires computation with a calculator, reinforcing skills in handling geometric formulas and the application of \( \pi \) in arithmetic operations.more
This math topic is focused on practicing the calculation of the area of a circle using its radius. It is part of a broader unit studying the area of circles in geometry. It includes six different problems where learners calculate the area of a circle from given radii. Each question has multiple possible answers for a student to choose from. For extra help, learners are given the consideration to use a calculator when calculating the areas. In this way, students reinforce their understanding of the mathematical concept while also practicing calculation skills.more
This math topic focuses on calculating the area of a circle from its radius. Multiple problems are provided for practice, requiring the learner to apply the formula A = πr², where "A" is the area and "r" is the radius of the circle. Answers to the problems are given as well, enabling self-correction. This topic is part of a broader unit on introductory circle area geometry.more
This math topic focuses on calculating the area of a circle using the radius. It introduces the fundamental geometric formula \( A = \pi r^2 \), where \( r \) is the radius of the circle. Students are presented with different problems where they apply this formula to find the area, using the value of the radius provided. Each question is supported with hints and a calculator option, reinforcing the practical application of the formula and enhancing computational accuracy in geometry.more
This math topic focuses on practicing the approximation of multiplying various numbers by Pi (π), an essential skill for understanding circle circumferences in geometry. It involves calculating and identifying the correct approximation of results such as 8 x π, 6 x π, and so forth, with multiple-choice answers provided for each question. This activity is suitable for enhancing mathematical skills related to geometry, specifically concerning the properties and measurements of circles.more
This math topic focuses on approximating products involving the mathematical constant Pi (π), using π = 3.14 for calculations. It's part of an introductory unit on the circumference of circles within geometry. Students practice multiplying various integers by Pi to find approximate values, and must choose the correct result from a list of options. These problems help develop skills in applying a constant to different numbers and enhance understanding of circle-related calculations in geometry.more
This topic focuses on practicing the multiplication of various numbers by the mathematical constant Pi (π), using its approximate value (3.14). The skills practiced include understanding and performing multiplication involving Pi as an approximate number, and selecting the correct product from multiple-choice options. This set of problems is part of an introduction to calculating the circumference of a circle in geometry. Each problem presents a multiplication question involving Pi and multiple answers, requiring the selection of the correct approximation.more
This topic focuses on practicing the skill of multiplying various numbers by the mathematical constant Pi (π) approximately using its common value of 3.14. The problems are designed to help students understand the concept of the circle circumference within geometry. Each problem asks students to calculate the product of a number and 3.14, and then choose the correct answer from multiple options. The exercise helps students approximate real multiplication scenarios using Pi, enhancing their ability to solve geometry problems related to circle circumferences.more
This math topic focuses on calculating the area of a circle using given diameters, requiring the learner to convert these diameters into equations involving squared values. The problems are structured such that students need to determine the correct area formula from multiple choices, enhancing their understanding of the circle area calculation and familiarizing them with the geometric concept of π (Pi) and its application in formulas. This is a beginner's level introduction to the geometry of circle areas.more
This math topic focuses on learning how to find the radius of a circle from its diameter. It is intended for those beginning to explore the area of circles within geometry. Problems require students to identify the correct radius given images of circles with marked diameters, providing multiple choice answers for selection. The skill of deducing the radius, half the length of the diameter, is fundamental in understanding basic geometric properties of circles.more
This math topic focuses on determining the radius of a circle given the area expressed in a specific format involving Pi and squared values. It is suitable for beginners and part of an introductory unit on the area of circles within the broader subject of geometry. Each problem presents an equation representing the circle's area in terms of Pi times a squared value, and students are required to calculate the radius by recognizing the relationship between the area and radius squared formula. There are multiple-choice answers provided for each question.more
This math topic focuses on calculating the area of a circle using the given diameter. It is designed to help students form equations for the circle's area based on its diameter, transitioning from direct measurements to algebraic expressions involving pi. The problems are structured to enhance understanding of circle geometry, particularly applying the formula for the area of a circle (πr²) through various scenarios and diameters, requiring students to calculate radii and substitute values correctly into the formula.more
This math topic focuses on calculating the diameter of a circle based on its area, which is given as equations involving the circle's radius. Each problem presents an equation, and the learner must determine the correct diameter from multiple choices. This set of problems is designed to strengthen understanding of the relationship between a circle's area, radius, and diameter, foundational concepts in geometry related to circles.more