Grade 10

66 Units, 168 Skills

Measurement - Units Advanced - Metric

Unit 1

Geometry - Cylinders - Intro

Unit 2

Percentages - Advanced

Unit 3

Cartesian Grid Geometry Logic - Practice

Unit 4

Squares and Square Roots - Advanced

Unit 5

Factoring and Lowest Common Multiple - Advanced

Unit 6

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

Unit 7

Geometry - Volume Logic with 3D Shapes - Intro

Unit 8

Negative Integers - Practice

Unit 9

Speed, Distance, and Time Logic Challenges - Intro

Unit 10

Factoring, Multiplication, Division, Fractions - Practice

Unit 11

Pythagorean Triples - Intro

Unit 12

Cartesian Grid Distance - Intro

Unit 13

Exponents - Power Law - Practice

Unit 14

Pythagorean Theorem with Decimals - Intro

Unit 15

Algebra Manipulating Variables - Practice

Unit 16

Exponents - Negative Bases and Exponents - Intro

Unit 17

Exponents - Fractional Bases and Exponents - Intro

Unit 18

Algebra Systems of Equations - Intro

Unit 19

Measurement - Units Large/Small Intro - Metric

Unit 20

Pythagoras - Practice

Unit 21

Factoring, Multiplication, Division, Fractions - Advanced

Unit 22

Slopes and Parallels - Intro

Unit 23

Measurement Conversion and Map Scale - Intro - Metric

Unit 24

Probability - Set Operations - Intro

Unit 25

Patterns and Sums - Intro

Unit 26

Slopes and Perpendiculars - Intro

Unit 27

Geometry - Circle Area, Sectors and Donuts - Intro

Unit 28

Fraction Multiplication - Advanced

Unit 29

Measurement - Unit Conversion Practice - Metric

Unit 30

Pythagorean Theorem in 3D - Intro

Unit 31

Fraction Addition and Subtraction, Mixed - Advanced

Unit 32

Probability and Counting - Multiple Events - Intro

Unit 33

Ratios of Lengths - Practice

Unit 34

Radicals - Simplifying Intro

Unit 35

Fraction Division - Practice

Unit 36

Scientific Notation - Multiplication and Division - Practice

Unit 37

Geometry - Intermediate - Intro

Unit 38

Line Equations and Graphing - Intro

Unit 39

Probability and Statistics - Probability with Factorials Intro

Unit 40

Measurement - Unit Conversion (Very Large and Small) Practice - Metric

Unit 41

Exponents - Negative Bases and Exponents - Practice

Unit 42

Exponents - Fractional Bases and Exponents - Practice

Unit 43

Algebra Manipulating Variables - Advanced

Unit 44

Line Equations and Graphing - Practice

Unit 45

Inscribed Squares and Circles - Intro

Unit 46

Trigonometry Foundations

Unit 47

Slopes and Parallels - Practice

Unit 48

Probability and Counting - Multiple Events - Practice

Unit 49

Scientific Notation - Multiplication and Division - Advanced

Unit 50

Measurement - Unit Conversion Advanced - Metric

Unit 51

Probability and Statistics - Permutations and Combinations Calculating - Intro

Unit 52

Measurement - Units Large/Small Practice - Metric

Unit 53

Slopes and Perpendiculars - Practice

Unit 54

Geometry - Intermediate - Practice

Unit 55

Patterns and Sums - Practice

Unit 56

Measurement - Unit Conversion (Very Large and Small) Intro - Metric

Unit 57

Probability - Set Operations - Practice

Unit 58

Trigonometry Fundamentals - Intro

Unit 59

Linear Equation Intersections - Intro

Unit 60

Measurement Conversion and Map Scale - Practice - Metric

Unit 61

Fraction Division - Advanced

Unit 62

Polynomials and Quadratics - Intro

Unit 63

Scientific Notation Units - Intro

Unit 64

Radicals - Simplifying Practice

Unit 65

Probability and Statistics - Probability with Factorials Practice

Unit 66

Speed, Distance, and Time Logic Challenges - Intro

Unit 10

In this math unit, students progressively develop their skills in understanding and solving problems related to speed, distance, and time. Initially, the unit introduces scenarios where students calculate time and speeds for trains passing platforms based on given distances and speeds. The complexity advances as students solve for unknown variables such as speeds and lengths using principles of relative motion and algebraic techniques. The problems escalate from straightforward applications to more complex situations, including comparisons between two cars traveling the same distance at different speeds or for the same time duration but at varied speeds. These excursions into comparative analysis refine students' abilities to manipulate and solve for unknown quantities within given constraints. Towards the latter part of the unit, the focus shifts to person-based movement scenarios within trains. Students apply their understanding to compute relative speeds and distances, such as determining a person's speed relative to the ground or solving for the train's length based on a person walking through it. Each topic deepens understanding of the relationships between speed, time, and distance, enhancing students' problem-solving skills within real-world motion contexts.more

Skills you will learn include:

  • Logic puzzles with speed, distance, and time
  • Speed, time, or distance differences
  • Moving past stationary objects
  • Movement inside moving objects
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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 Speed, Distance, and Time Logic Challenges - Intro.

Two Cars Same Time - Distance Delta and First Speed to Second Speed (Level 3)

This math topic focuses on advanced problems related to speed, distance, and time, specifically comparing two cars that travel for the same duration but at different speeds. Students are required to calculate the speed of the second car given the speed of the first car and the distance difference between them. The problems are designed to enhance students' abilities to manipulate the fundamental formula: speed = distance/time and apply algebraic skills to solve for unknowns in word problems related to real-life scenarios of moving vehicles.more

Person in Train - Solve for Train Speed (Level 3)

This math topic focuses on calculating the speed of a train based on the relative speed of a person walking from the back to the front of the train. The problems provide the length of the train, the time it takes for the person to walk from one end to the other, and the person's speed relative to the ground. Students are required to solve for the train's speed using these given values. This topic is part of an introductory unit on speed, distance, and time logic challenges.more

Person in Train - Solve for Train Length (Level 3)

This math topic focuses on calculating the length of a train based on the speeds of both the train and a person walking inside it from back to front. Each problem provides the speeds of the train and the person relative to the ground, along with the time it takes for the person to walk from one end of the train to the other. The learner needs to use these pieces of information to solve for the train's length, applying concepts related to relative speed and distance calculations in the context of "Speed, Distance, and Time." The questions are structured with multiple-choice answers, enhancing problem-solving skills and logical reasoning in applied physics scenarios.more

Person in Train - Solve for Train Speed (Level 2)

This math topic focuses on calculating the speed of a train based on a person's movement within it. It involves problems where a person walks from the back to the front of a train and the person's ground speed is known, along with the time taken for the walk and the train's length. Students are tasked with determining the train's speed. Each problem provides multiple-choice answers, allowing students to apply concepts of speed, distance, and time to solve real-world relative motion problems.more

Person in Train - Solve for Person Speed (Level 3)

This math topic focuses on calculating a person's speed relative to the ground while walking from the back to the front of a moving train. Each problem specifies the train's length, its speed, and the distance the train covers during the person's walk. Students are tasked with determining the speed of the person relative to the ground, with multiple-choice answers provided for each scenario. This set of problems enhances students' understanding of relative speed within the broader framework of speed, distance, and time logic challenges.more

Person in Train - Solve for Train Length (Level 2)

This math topic covers problems related to calculating the length of a train. It involves understanding speeds, including the speed of a person walking through a train and the train's own speed, to determine the distance from the back to the front of the train. Various scenarios are presented where a person travels at different relative speeds to the ground, and the train travels at different speeds. The individual's task is to compute the train's length based on the time it takes for the person to walk from one end of the train to the other.more

This math topic focuses on problems related to speed, distance, and time, under the advanced section. It involves calculating the distance traveled by one of two cars when both travel at the same speed, but for different durations. Each problem sets up a scenario where Car A and Car B travel the same speed, but Car A’s travel time differs (either more or less) than Car B’s, with the known distance of Car A provided. Learners must then figure out the distance that Car B traveled. These problems help in understanding the relationships and applications of the basic speed-distance-time formula in a comparative manner.more

Two Cars Same Distance - Time Delta and First Speed to Second Speed (Level 3)

This math topic involves problems designed to practice calculating speeds under different scenarios where two cars travel the same distance but arrive at different times. It challenges learners to compute the speed of one car based on the speed of another and the time difference in their arrivals. Each problem provides multiple-choice answers to select the correct speed of Car B, given varying distances, the speed of Car A, and the time delta between the two cars. This set of problems is part of an advanced unit on speed, distance, and time.more

Person in Train - Solve for Person Speed (Level 2)

This math topic focuses on calculating relative speeds, specifically the speed of a person relative to the ground while moving from the back to the front of a train. The problems on this topic involve determining this speed across various scenarios where the speed of the train and the distances covered by both the train and the person vary. Each question provides multiple choice answers to choose from. This set of problems is designed to enhance understanding of concepts involving speed, distance, and time within practical contexts.more

Train Past Platform - Solve for Train Length (Level 3)

This math topic focuses on problems related to calculating the length of a train as it passes a platform. The problems provided illustrate scenarios where the speed of the train and the time it takes to pass a platform of a given length are known. Students are required to use these pieces of information to solve for the train's length. This set of problems is a practical application of concepts related to speed, distance, and time, enhancing analytical and problem-solving skills in a real-world context within a unit on Speed, Distance, and Time Logic Challenges.more

Train Past Platform - Solve for Time (Level 3)

This math topic focuses on calculating the time a train takes to completely pass a platform. Problems involve determining the total time based on the given speed of the train and the combined lengths of the train and the platform. Each question provides different train lengths, speeds, and platform lengths, challenging the student to apply formulas or reasoning related to speed, distance, and time calculations. Multiple-choice answers are given for each problem, allowing for selection-based responses.more

Two Cars Same Time - Distance Delta and First Speed to Second Speed (Level 2)

This math topic explores advanced speed, distance, and time problems, specifically focusing on scenarios where two cars travel for the same duration but at different speeds. The problems require calculating the speed of one car based on the distance difference between the two vehicles over given times. Each problem presents a different scenario with various speeds and distances, requiring the application of basic algebra to solve for the unknown speeds, presented in a multiple-choice format. The skills practiced include problem-solving, algebraic manipulation, and understanding relationships between speed, time, and distance.more

Train Past Platform - Solve for Train Speed (Level 3)

This math topic involves calculating the speed of a train as it passes by a platform. Each problem provides the length of the train, the length of the platform, and the time taken for the train to pass completely over the platform. From these parameteters, the student must calculate the train's speed. The problems are presented with multiple choice answers for students to choose from. This topic is a practical application of the concepts of speed, distance, and time.more

This math topic focuses on advanced exercises in speed, distance, and time calculations. Students analyze scenarios involving two cars traveling at the same speed but for different durations. The primary task is to determine how far the second car travels based on the given distance and time differential of the first car. These problems help enhance problem-solving skills related to uniform motion and are a part of a broader unit on speed, distance, and time. The questions include multiple-choice answers, encouraging analytical thinking as students must select the correct distance traveled by the second car.more

Two Cars Same Distance - Time Delta and First Speed to Second Speed (Level 2)

This math topic involves advanced problems related to speed, distance, and time, focusing on scenarios where two cars travel the same distance at different speeds, arriving at their destination at different times. The task is to calculate the speed of the second car given the speed of the first car and the time difference in their arrivals. Problems are designed to help learners apply their understanding of the relationships between speed, time, and distance to solve practical questions about travel and pacing. Multiple-choice answers are provided for each question to test understanding.more

Train Past Platform - Solve for Train Length (Level 2)

This math topic focuses on calculating the length of a train that fully passes a platform at a given speed within a specified time. It involves problems related to the concepts of speed, distance, and time. The exercises require estimating the total distance traveled by the train, which includes both the train's length and the length of the platform, using the given speed and time. The resultant distance is then used to solve for the train's length by subtracting the platform's length. The problems are set up as multiple-choice questions, each with four possible answers.more

Train Past Platform - Solve for Time (Level 2)

This math topic focuses on calculating the time it takes for a train to pass a platform, combining concepts of speed, distance, and time. Each problem involves a scenario where a train of a specific length travels at a given speed and must clear a platform of a certain length. Students are required to solve for the time required for the train to completely pass the platform, using the formula: time = distance / speed, where the total distance is the sum of the train's length and the platform's length. Multiple choice answers are provided for each problem.more

Train Past Platform - Solve for Train Speed (Level 2)

This math topic deals with solving for the speed of a train as it passes a platform, integrating the concepts of speed, distance, and time. Each problem presents a scenario where a train of a specified length travels past a platform of a given length within a certain amount of time. Students are required to calculate the train's speed based on these parameters, enhancing their problem-solving skills in the context of real-world motion scenarios. The problems underscore practical application of the distance formula, with speed being the key variable to determine.more

Person in Train - Solve for Train Speed (Level 1)

This math topic focuses on problems involving speed, distance, and time. It specifically challenges students to solve for the speed of a train given certain conditions: a person walking from the back to the front of various lengths of trains, over varying amounts of time, and at different speeds relative to the ground. Each question presents multiple-choice answers, requiring an understanding of relative motion and basic speed-distance-time calculations. This forms part of an introductory logic challenges unit on these concepts.more

Person in Train - Solve for Train Length (Level 1)

This math topic focuses on problems related to solving for the length of a train by using the concepts of speed, distance, and time. It involves understanding the relative speed of a person walking through a moving train and calculating the train's length based on given speeds and time durations. The specific skill practiced is calculating distance using the formula for speed times time, adjusting for the relative speeds of the train and the individual. The problems presented offer multiple choice answers, enhancing problem-solving and logical reasoning within the context of motion.more

Person in Train - Solve for Person Speed (Level 1)

This math topic focuses on calculating the speed of a person walking from the back to the front of a moving train, relative to the ground. It involves principles from the areas of speed, distance, and time. The problems require understanding and application of relative velocity, especially considering the constant speeds of the trains and the distances they travel. Each question presents different train speeds, train lengths, and distances traveled, prompting learners to solve for the person’s speed relative to the ground under various scenarios.more

Two Cars Same Time - Distance Delta and First Speed to Second Speed (Level 1)

This topic focuses on advanced problems related to speed, distance, and time, particularly examining scenarios where two cars travel for the same duration but at different speeds. It challenges students to calculate the speed of one car based on the given speed of another and their respective distances. Overall, the topic enhances problem-solving skills in contexts where differences in speed and distance must be reconciled to find solutions.more

This math topic focuses on problems related to speed, distance, and time, specifically scenarios where two cars travel at the same speed but for different durations or distances. The problems require calculating the total distance traveled by one car based on the known distance of the other and the time difference between their travels. Each problem is a variation in terms of speeds, distances traveled, and the time differential, enhancing the student's ability to apply the concepts of rate and time to solve for unknown distances.more

Two Cars Same Distance - Time Delta and First Speed to Second Speed (Level 1)

This math topic covers problems involving the calculation of speed, given that two cars travel the same distance but with different speeds and different arrival times. Specific areas include solving for the unknown speed of one car when the speed of the other car, the travel distance, and the time difference in their arrivals are known. It is part of an advanced unit on speed, distance, and time. The topic requires an understanding and application of basic principles of speed (distance/time) and algebra to find the unknown variables. Each problem includes multiple-choice answers.more

Train Past Platform - Solve for Train Length (Level 1)

This math topic involves solving problems related to the concept of speed, distance, and time. Specifically, it focuses on scenarios where a train passes a platform at a certain speed and within a given amount of time, and students are required to calculate the length of the train. The exercises require an understanding of how to apply the formula relating speed, distance, and time to find the missing variable, which in this case is the train's length. Each problem provides multiple-choice answers, enhancing the learner's problem-solving skills in practical and real-world contexts.more

Train Past Platform - Solve for Time (Level 1)

This math topic focuses on calculating the time it takes for a train to completely pass a platform. Problems involve using the total distance (sum of the train’s length and the platform’s length) and the train's speed to determine the time required for the train to pass. Each question provides multiple-choice answers to select from, emphasizing basic arithmetic operations and understanding of the formulae for speed, distance, and time.more

Train Past Platform - Solve for Train Speed (Level 1)

This math topic focuses on calculating the speed of a train as it passes a platform. The problems require finding the train's speed by considering the combined lengths of the train and the platform and the time taken for the train to pass completely. Variations of the length of the train, the length of the platform, and the time taken are presented across different questions, challenging students to apply the formula for speed accurately. This is part of a broader unit on Advanced Speed, Distance, and Time.more