Grade 8
79 Units, 209 Skills
Geometry - Angles and Transformations - Practice
Unit 1
Probability and Statistics - Mean, Median, and Mode - Practice
Unit 2
Triangle Area - Practice
Unit 3
Fraction Multiplication - Practice
Unit 4
Exponents - Division - Intro
Unit 5
Speed, Distance, and Time - Practice
Unit 6
Time - Elapsed Time - Advanced
Unit 7
Measurement - Units Practice - Metric
Unit 8
Exponents - Advanced
Unit 9
Fractions, Decimals, and Percents
Unit 10
Order of Operations - Advanced
Unit 11
Area and Perimeter Complex Shapes
Unit 12
Factoring and Primes - Advanced
Unit 13
Scientific Notation - Practice
Unit 14
Exponents - Multiplication and Division - Practice
Unit 15
Algebra Basic Concepts - Practice
Unit 16
Geometry - Shape Classification (3D) - Practice
Unit 17
Cartesian Grid Transformations - Intro
Unit 18
Triangle Area - Advanced
Unit 19
Geometry - Surface Area of 3D Shapes - Intro
Unit 20
Geometry - Volume of 3D Shapes - Intro
Unit 21
Rates and Ratios - Advanced
Unit 22
Probability and Counting - Single Event - Advanced
Unit 23
Patterning - Number Patterns Practice
Unit 24
Time - Elapsed Time, Negative - Advanced
Unit 25
Negative Integers - Intro
Unit 26
Division 3 by 2 Digit
Unit 27
Area and Perimeter Logic - Intro
Unit 28
Probability and Statistics - Counting and Probability Foundations
Unit 29
Factoring and Greatest Common Factor - Practice
Unit 30
Fraction Division - Intro
Unit 31
Geometry - Circle Area and Circumference - Practice
Unit 32
Geometry - Isosceles and Equilateral Triangles
Unit 33
Percentages - Practice
Unit 34
Digits and Divisibility - Practice
Unit 35
Cartesian Grid Geometry Logic - Intro
Unit 36
Pythagoras - Foundations
Unit 37
Decimal Multiplication - Advanced
Unit 38
Geometry - Intersecting, Parallel, and Perpendicular Lines
Unit 39
Percents and Simple Interest - Intro
Unit 40
Factoring and Lowest Common Multiple - Practice
Unit 41
Fraction Addition and Subtraction - Advanced
Unit 42
Squares and Square Roots - Practice
Unit 43
Decimal Division - Advanced
Unit 44
Fraction Addition and Subtraction, Mixed - Practice
Unit 45
Factoring, Multiplication, Division, Fractions - Intro
Unit 46
Exponents - Multiplication and Division - Advanced
Unit 47
Geometry - Circle Partial Area and Circumference - Intro
Unit 48
Patterning - Number Patterns Advanced
Unit 49
Measurement - Units Advanced - Metric
Unit 50
Geometry - Surface Area of 3D Shapes - Practice
Unit 51
Exponents - Power Law - Intro
Unit 52
Factoring and Greatest Common Factor - Advanced
Unit 53
Algebra Manipulating Variables - Intro
Unit 54
Geometry - Cylinders - Intro
Unit 55
Probability and Statistics - Counting and Probability Practice
Unit 56
Percentages - Advanced
Unit 57
Measurement - Unit Conversion Intro - Metric
Unit 58
Speed, Distance, and Time - Advanced
Unit 59
Ratios of Lengths - Intro
Unit 60
Cartesian Grid Geometry Logic - Practice
Unit 61
Percents and Simple Interest - Practice
Unit 62
Squares and Square Roots - Advanced
Unit 63
Area and Perimeter Logic - Practice
Unit 64
Slope - Intro
Unit 65
Algebra Basic Concepts - Advanced
Unit 66
Factoring and Lowest Common Multiple - Advanced
Unit 67
Probability and Statistics - Mean, Median, and Mode - Advanced
Unit 68
Geometry - Volume Logic with 3D Shapes - Intro
Unit 69
Scientific Notation - Multiplication and Division - Intro
Unit 70
Pythagoras - Intro
Unit 71
Negative Integers - Practice
Unit 72
Speed, Distance, and Time Logic Challenges - Intro
Unit 73
Factoring, Multiplication, Division, Fractions - Practice
Unit 74
Pythagorean Triples - Intro
Unit 75
Cartesian Grid Distance - Intro
Unit 76
Probability and Statistics - Factorial Form Intro
Unit 77
Exponents - Power Law - Practice
Unit 78
Pythagorean Theorem with Decimals - Intro
Unit 79
This math unit progresses through a variety of mathematical skills focusing primarily on the interrelationships between speed, distance, and time. Initially, students calculate distance using speed and time, and then advance to determining the time needed for certain distances at given speeds. As the unit progresses, exercises involve computing speed from distance and time, and subsequent worksheets introduce more complex scenarios including changes in units (distance and time), multiple variables, and the use of algebra in contexts involving movement. Problems range from straightforward multiplications to more advanced manipulations involving algebra and variable isolation. Learners also engage in unit conversions, honing their ability to handle various units of measurement like meters, kilometers, seconds, and hours, which are crucial for solving real-world problems. The unit culminates in the ability to handle complex conversions and calculations involving changes in both distance and time units, emphasizing a deep understanding of the fundamental principles of motion.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 Speed, Distance, and Time - Practice.
Speed and Time to Distance - Variables, Changed Time Units (Level 1)
This math topic focuses on calculating distances using the formula involving speed and time, adjusted for different units of speed and time. It covers how to convert units and apply variables to solve real-world problems related to speed, distance, and time. The problems require understanding and manipulating time (seconds, minutes, hours, days) and speed (cm/s, m/min, km/min, m/ms) to find distances in corresponding units (centimeters, meters, kilometers). The practice includes both formula application and unit conversions to enhance problem-solving skills in an advanced context of speed, distance, and time relationships.more
Speed and Time to Distance - Clock Time (Hours) (Level 2)
This math topic focuses on calculating distances traveled given specific speeds and time intervals, using the relationship between speed, distance, and time. Each question on the topic involves a car that starts at a particular time and drives at a constant speed until another specified time, requiring the learner to find out how far the car travels in that duration. The correct answer choices demonstrate the learner's ability to apply the formula for distance: distance = speed × time, where time is calculated using clock hours.more
These problems are centered around manipulating algebraic fractions within the context of solving for an unknown variable. Each question requires solving a fraction equation and choosing the correct simplified expression from multiple options. The main skills practiced include simplifying algebraic fractions, isolating variables, and understanding proportional relationships between variables in fraction form. The topic builds foundational algebra skills relevant to speed, distance, and time calculations.more
This math topic focuses on solving fractions with unknowns, specifically related to algebraic manipulation within the context of speed, distance, and time calculations. Each problem presents an algebraic equation where students must solve for the missing variable represented by a question mark. Students use basic algebraic concepts to rearrange and simplify fractions. The problems are multiple-choice, offering potential answers which include the correct manipulation of the given variables like division, multiplication, or inversion of the fractional relationship. This helps students develop an understanding of direct and inverse relationships between variables in formula-based situations.more
Variable Manipulation - No Hint (Level 1)
This math topic covers the formulas related to speed, distance, and time. Each of the three core questions involves identifying the correct formula for calculating time, speed, and distance, respectively, without any hints provided. For example, learners must select the correct way to calculate time from given choices like distance divided by speed and others. Similarly, problem sets for speed and distance ask students to apply their understanding to find formulas by choosing among different algebraic expressions. The focus here is on understanding and manipulating mathematical relationships between speed, distance, and time variables.more
This math topic focuses on practicing the conversion of time units with decimals. Students learn how to convert between days, hours, minutes, and seconds. Each problem provides a time unit to be converted into another, such as converting days to hours or minutes to seconds. Multiple-choice answers are provided for each problem, indicating the focus on accuracy and understanding of conversion factors in a metric system context.more
This math topic focuses on calculating speeds based on distance traveled over a period of time. Each problem involves a car journey for which the start time, end time, and distance covered are specified. The task is to compute the car's average speed in kilometers per hour. The problems are designed to enhance skills in converting time differences into hours and then using the formula speed = distance/time to find the rate of travel. Multiple-choice answers are provided to verify understanding of calculating speeds from given distances and time intervals.more
This math topic focuses on calculating the speed of a car given the distance traveled and the time taken. It tests the ability to convert time from hours and minutes to calculate speed in km/hr using the formula: speed equals distance divided by time. This involves basic arithmetic and conversion of time units, which are essential skills in understanding relationships within problems involving speed, distance, and time. This topic serves as an advanced application of these concepts, suitable for students who are already familiar with basic calculations and unit conversions related to speed and distance.more
Distance and Speed to Time - Clock Time (30 Minutes) (Level 1)
This math topic focuses on applying the concepts of speed, distance, and time to calculate arrival times in real-world scenarios. Students use the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \) to compute travel duration and then convert this duration to clock times. The problems center around determining when vehicles, driving at given speeds for certain distances, arrive at their destinations, starting from specified times. Each question requires adding the calculated travel time to the starting time to find the final clock time of arrival.more
Distance and Speed to Time - Clock Time (30 Minutes) (Level 2)
This math topic focuses on calculating arrival times by solving problems involving speed, distance, and time. Given the speed at which a vehicle travels and the distance to its destination, the task is to calculate the time it will arrive, considering a specified starting time. This task not only tests the application of speed and distance to determine time but also incorporates converting the result into clock time. The difficulty is increased by the need to add the travel duration to a specific start time to find the clock time of arrival.more
Speed and Time to Distance - Clock Time (30 Minutes) (Level 1)
This math topic focuses on calculating distances covered by cars traveling at specific speeds within certain time frames. Each question provides the starting and ending times along with the speed of the car, and students are required to compute the total distance traveled. This forms part of a broader unit on advanced concepts of speed, distance, and time. The problems use a half-hour to two-hour time spans and speeds provided in km/hr. Students are expected to solve these practical problems, sharpening their skills in applying formulas to real-world scenarios involving motion.more
Speed and Time to Distance - Clock Time (30 Minutes) (Level 2)
This math topic involves calculating distance traveled over time, specifically using scenarios where vehicles travel at constant speeds. Problems challenge students to determine how many kilometers a car travels based on given speeds and times, such as from "2:30 until 6:00 at 60 km/hr." Each question offers multiple-choice answers, enhancing skills in applying the formula for distance, which integrates speed and time calculations. This is a more advanced treatment of the concepts of speed, distance, and time.more
This math topic focuses on calculating speed when distance units are changed, primarily using small units of measurement like millimeters (mm), centimeters (cm), and meters (m). The problems involve converting times such as seconds, hours, days, and minutes into different time units and then calculating the speed. Examples include determining the speed of a bug crawling a specific distance in a given time, a bacteria moving, and hypothetical situations like a car driving a short distance in milliseconds. Various options for the answer highlight the need for precise conversion and calculation of speed.more
Speed and Time to Distance - Changed Distance Units (Level 1)
This math topic focuses on calculating distances based on given speeds and times, with an emphasis on converting between different units of measurement. The problems involve a variety of scenarios featuring different moving objects such as bacteria, bugs, and cars. Each question requires converting the calculated distances into units like millimeters, centimeters, and meters from the original unit in which speed or time is given. This set of problems helps strengthen skills in unit conversion and application of the speed-distance-time relationship in contexts that involve advanced changes in distance units.more
Unit Manipulation - Is Given Measurement Type (Level 1)
This math topic focuses on unit manipulation relating to speed, distance, and time. The primary skill practiced is determining whether specific calculations yield values for distance or time, based on the mathematical expression provided. Each question shows a formula and asks whether the end result would be a 'distance' or 'time' value, with options to select 'Yes' or 'No'. These concepts are explored through various context-specific questions that involve different units of measurements.more
Speed and Time to Distance - Variables (Level 1)
This math topic involves applying formulas and understanding the relationship between speed, time, and distance through various formats of measurement (mm, cm, m) and time (hr, min, s, ms). Students practice calculating the total distance traveled given variables for speed and time in multiple question sets. Each problem presents different variables and units, with multiple-choice answers that include different algebraic manipulations of these variables to arrive at the distance. The concepts are foundational for understanding motion and are essential in both academic and real-world contexts.more
Variable Manipulation - With Hint (Level 1)
This math topic focuses on manipulating the variables involved in the formulas concerning speed, distance, and time. The problems provide practice in rearranging these formulas to solve for one variable given the others. Specifically, learners are asked to derive the formulas for distance when given speed and time, to find speed when provided with distance and time, and to determine time from speed and distance. Each question offers multiple choice answers, enhancing understanding of how these three key quantities are interrelated in motion problems.more
Unit Manipulation - What Measurement Type (Level 1)
This math topic focuses on unit manipulation within the context of speed, distance, and time. Students are tasked with identifying the type of measurement (speed, distance, time, or none of these) a given calculation would result in. Each question presents a mathematical expression involving units of time or distance, such as meters per hour or seconds per millimeter, prompting students to analyze the resulting unit derived from the operations shown. This involves critical thinking in the realm of dimensional analysis, useful for solving real-world problems related to speed, distance, and time calculations.more
Distance and Speed to Time - Variables (Level 1)
This math topic focuses on calculating the time required for travel given different rates of speed and distances. The specific skills practiced include manipulating and solving formulas involving variables for speed, distance, and time. Problems include a variety of units such as meters per millisecond, centimeters per millisecond, meters per hour, meters per day, centimeters per minute, and centimeters per second. Each question challenges the learner to derive the correct time by applying formulas adapting these variables, enhancing their understanding of direct and inverse relationships in the context of motion.more
This math topic focuses on manipulating algebraic fractions, particularly solving and simplifying fractions in terms of variables. It integrates problem-solving skills from an algebraic perspective related to the broader themes of speed, distance, and time calculations. The questions require substituting in variables to find missing terms in fractional mathematical equations, with each problem presenting multiple choice answers that test the learner's ability to manipulate and reduce algebraic fractions correctly.more
This math topic focuses on manipulating algebraic fractions and variables. It involves solving for a variable in the context of a fraction, and determining the correct result among multiple choices. Each problem requires simplifying or rearranging algebraic expressions to find the value of an unknown variable expressed as a fraction. The worksheet is part of a larger unit on speed, distance, and time, enhancing understanding of algebraic operations within real-world contexts. These problems aim to strengthen skills in algebra and fraction manipulations.more
Distance and Speed to Time - Clock Time (Hours) (Level 3)
This math topic focuses on calculating the arrival time of a car after a journey, requiring an understanding of how to convert distance and speed into time and then adding this travel time to a start time given in hours on a 24-hour clock. The problems involve determining the exact clock time a car will reach its destination after traveling at a specific speed for a certain distance. The learners practice using the formulas for speed, distance, and time calculations, as well as applying arithmetic operations to clock times.more
This math topic focuses on calculating speed using the distance covered and the time taken. The problems involve determining the average speed of a car that travels a certain distance within a specific time frame. The times are given in clock hours, and students must compute the speed in kilometers per hour. Each question presents multiple choice answers, offering opportunities to practice and reinforce skills related to solving for speed in the context of real-world scenarios involving distance and time.more
Distance and Speed to Time - Same Units (Level 3)
This math topic focuses on calculating time taken given speed and distance. It explores the use of consistent units like meters per second (m/s), meters per minute (m/min), millimeters per hour (mm/hr), kilometers per hour (km/hr), centimeters per hour (cm/hr), and meters per day (m/d) to determine the duration required for various modes of transport (cars, horses, bacteria, bugs) to cover specific distances. Skill in isolating the variable time from the speed-distance relation is central here. Each problem is structured as a multiple-choice question, presenting different scenarios to apply the basic formula: time = distance / speed.more
Speed and Time to Distance - Same Units (Level 2)
This math topic focuses on calculating distance using given speed and time across a variety of scenarios. The exercises require multiplying the speed by the time to determine the total distance traveled, assuming all units are consistent (e.g., meters per minute, kilometers per hour). This skill is fundamental in understanding the relationship between speed, distance, and time. The problems vary by the types of speeds and units used, such as meters per minute or kilometers per hour, enhancing the learners’ versatility in handling real-world applications of these mathematical concepts.more
This math topic focuses on practicing fraction manipulation within algebraic expressions, specifically related to solving for an unknown represented by the “?” in various fraction equations including variables. It involves reducing fractions and figuring out relations between given variables under different algebraic scenarios. The problems also incorporate units on speed, distance, and time, indicating applications of these algebraic manipulations in practical contexts like motion. Each question presents multiple-choice answers, urging students to select the correct algebraic representation of the solved expression.more
This math topic focuses on practicing algebraic manipulation of fractions, particularly in solving for an unknown variable that makes fractions equivalent. The problems require students to isolate a variable, denoted as '?', in fractional algebraic expressions and simplify the expression. This involves understanding how operations like multiplication and division are used to manipulate and solve equations involving fractions. The topic is grouped under a broader theme related to speed, distance, and time, indicating possible application within these contexts. Each question provides multiple choice answers, challenging students to perform accurate algebraic operations and select the correct simplified form.more
Speed and Time to Distance - Clock Time (Hours) (Level 3)
This math topic focuses on calculating distances traveled given specific speeds and time durations, which are all expressed in terms of clock hours. For example, it deals with questions like determining how far a car travels from one hour to another at a fixed speed. In each problem, the time span the car is traveling is calculated from the given start and end times, and this duration is then used alongside the given speed to calculate the total distance traveled. The problems aim to improve understanding of relationships between speed, distance, and time.more
Distance and Speed to Time - Clock Time (Hours) (Level 2)
This math topic involves calculating arrival times given varying speeds and distances, specifically focusing on understanding the relationships between speed, distance, and time. Each problem presents a scenario where a car starts at a specific time and travels at a constant speed over a given distance. The task is to determine the time of arrival, testing the ability to convert and manipulate units of time and solve problems related to the formula: time = distance/speed. Various "clock time" calculations also enhance the practical application and understanding of everyday time management in real contexts.more
Which is Further - Same Units (Level 3)
This math topic focuses on understanding the relationship between speed, distance, and time to determine which of two scenarios results in a greater distance traveled. The problems present different entities (like horses, bacteria, and rockets) moving at constant speeds for various durations. The students are asked to decide which entity covers a greater distance under given conditions, with all comparisons made using the same units of measurement. This topic is part of a broader unit aimed at practicing calculations and concepts involving speed, distance, and time.more
Speed and Time to Distance - Return Trip (Level 1)
This math topic involves solving problems related to calculating distances based on given times and speeds in a return trip scenario. Specifically, it helps practice using the relationship between speed, distance, and time to determine how far a town is from the starting point when a car travels to the town and returns at a given average speed over differing time periods. The exercises include determining the town's distance using average speeds such as 20 km/hr, 30 km/hr, and 40 km/hr, facilitating the reinforcement of practical application of the fundamental speed-distance-time formula in various contexts.more
Distance and Speed to Time - Return Trip (Level 1)
This math topic focuses on calculating the duration of return journeys using the concepts of speed, distance, and time. Students are required to deduce the time it takes for a car to return to its starting point under varying speeds, comparing it to a known outbound trip time and distance. It practices speed and distance conversions into time, important for solving real-world problems where time, speed, and distance parameters often vary. Each question offers multiple-choice answers, enhancing problem-solving skills and understanding of the relationships between these three fundamentals in physics and everyday calculations.more
This math topic focuses on creating and understanding fact family triangles within the context of speed, distance, and time relationships. Learners must identify the correct fact family triangle that represents given formulas involving time (t), speed (s), and distance (d) calculations. The problems involve identifying graphic representations of relationships such as time multiplied by speed equals distance, and solving for one quantity when the other two are provided. Each question offers multiple-choice answers, enhancing the learner’s ability to connect algebraic expressions and their graphical counterparts. This is part of broader training in speed, distance, and time calculations.more
This math topic focuses on calculating average speed, particularly applied to scenarios where a car travels to a destination and returns back to the point of origin. Each problem involves different distances and time durations for the round trips. Students are tasked with determining the car's average speed for the entire journey. Multiple-choice answers are provided for each question, allowing the learner to apply the formula for average speed, which involves the total distance traveled divided by the total time taken.more
This math topic focuses on the relationship between speed, distance, and time, incorporating their interdependence through various fact families. Students are tasked to select the correct mathematical equation that represents a given fact family, appropriately relating the variables of speed (s), distance (d), and time (t) using multiplication and division. Each problem presents multiple choices depicting different configurations of these variables, challenging participants to apply their understanding of formulas within the context of speed, distance, and time calculations.more
Distance and Speed to Time - Same Units (Level 2)
This math topic practices calculating time given the speed and distance, ensuring all units are consistent. It includes various scenarios with different modes of transportation and speeds such as a plane, a bug, a horse, a car, and a rocket. Each question asks how long it takes for the vehicle or creature to travel a certain distance at a specified speed, with measurement units ranging from cm/ms to km/min. Multiple-choice answers are provided for students to select the correct time required to complete the journey.more
This math topic involves calculating speed given distance and time, with all quantities in the same units. Students are required to use the formula for speed, which is distance divided by time, to determine the rate of travel of various moving objects such as bacteria, cars, bugs, and horses. Problems range from linear measurements in millimeters, meters, and kilometers combined with time units from seconds to days. Each question presents a practical scenario and asks for the speed, providing multiple-choice answers to enhance problem-solving skills in the context of speed calculations.more
Distance and Speed to Time - Changed Distance Units (Level 1)
This math topic focuses on calculating time when distance and speed are known using different units of measure such as meters per hour, meters per minute, centimeters per hour, meters per second, and centimeters per day. The problems involve basic time, speed, and distance calculations, requiring students to manipulate these concepts in various scenarios involving bugs, bacteria, and a horse, emphasizing practical application and unit conversion skills in context.more
This math topic focuses on calculating the speed of different moving objects when given their distance traveled and time taken, including unit conversions. It helps in practicing the conversion of speed units depending on changed time units. For example, problems may ask to convert speed from meters per hour to meters per day or kilometers per minute to kilometers per second. This is part of an advanced study on speed, distance, and time calculations. The problems are multiple-choice, enhancing understanding of both speed calculations and unit conversions.more
Speed and Time to Distance - Changed Time Units (Level 1)
This math topic focuses on problems related to calculating distances from given speeds and times, with variations in unit measurements like meters per hour, meters per minute, centimeters per hour, etc. Students practice converting these different time and distance units to calculate the total distance traveled by moving objects such as bugs and bacteria. The skill of applying speed, distance, and time formulas is emphasized, suitable for advanced learners looking to deepen their understanding of these concepts.more
Distance and Speed to Time - Changed Time Units (Level 1)
This math topic covers advanced problems relating to speed, distance, and time calculations. It involves determining the time taken for a certain distance to be covered at given speeds, with complexities like different unit conversions (e.g., seconds to minutes, hours to minutes, etc.). The problems focus on practical scenarios using bugs, horses, and bacteria as subjects, requiring application of formulas to compute time from given speeds and distances. The questions offer multiple-choice answers, testing the ability to perform accurate calculations and unit conversions in the context of real-world scenarios.more
This math topic involves converting and calculating speeds given various units of distance and time. The skills practiced include computing the speed from distance and duration details, followed by converting the resultant speed into different units. Problems involve conversions between meters, centimeters, millimeters, hours, minutes, seconds, and days. Each question provides an initial speed in one set of units and asks for the conversion to another, testing the students' abilities to handle both calculation and unit conversion in the context of speed.more
Speed and Time to Distance - Changed Both Units (Level 1)
This math topic practices calculating distances traveled based on given speeds and times. The problems involve different units, requiring the learner to convert between them while solving. Units such as centimeters, minutes, millimeters, meters, seconds, and square units are used across various scenarios involving a bug's movement. Learners are challenged to understand and convert these units appropriately to find correct distances, enhancing their skills in handling speed, distance, and time problems with a focus on unit conversion.more
Distance and Speed to Time - Changed Both Units (Level 1)
This math topic covers problems that deal with calculating time taken for a journey given a speed and distance, while also involving unit conversions. The focus is on various units of measurement such as centimeters per minute, millimeters per day, and meters per day, converting these into units of time like hours, minutes, and seconds. The problems typically involve small creatures like bugs and bacteria moving at specified speeds for set distances, requiring the learner to convert units and calculate the corresponding time for the journey.more
This math topic focuses on calculating speed from given distances and time periods, specifically over hours. It helps develop an understanding of the relationship between speed, distance, and time through various problems where participants determine the speed of cars based on their travel distances and durations. Each question provides multiple-choice answers that test the ability to accurately perform division and unit conversions to determine speed in km/hr from the travel time in hours and distance in kilometers.more
Which is Further - Same Units (Level 2)
This math topic focuses on determining which of two scenarios results in a greater distance traveled, using the same units of measurement. Students solve problems involving various moving entities, such as bacteria, cars, horses, and bugs. Each problem provides the speed and duration of motion for two subjects and asks which travels further. The skills practiced include multiplying rates by time to compute distance and comparing the results to identify the greater value. This topic is a part of a broader unit on speed, distance, and time.more
Speed and Time to Distance - Same Units (Level 3)
This math topic focuses on calculating distances by using given speed and time values, all within consistent units. Various scenarios are presented, involving different entities such as horses, bugs, spaceships, and bacteria moving at certain speeds for specified durations. The problems ask students to determine how far each entity travels, reinforcing their understanding of multiplying speed by time in units like meters per minute, centimeters per hour, kilometers per second, and millimeters per hour. This is a practical application of the formula for distance in the context of speed, distance, and time calculations.more
This math topic focuses on calculating speed using given distance and time in consistent units. It includes various practical problems that require finding the speed of different entities such as bacteria, bugs, and horses, moving over differing distances and periods. Units of speed in the problems include mm/d, m/d, km/d, cm/d, cm/s, mm/hr, and mm/min, ensuring practice in basic unit conversions and arithmetic operations. The questions are structured in a multiple-choice format, providing several answer choices to test understanding and accuracy in calculations.more
This math topic focuses on calculating average speed involving a return trip. The problems require determining the total distance and total travel time for a car traveling to a town and back to calculate its average speed. Each problem prescribes different distances and durations for the outward and return journeys, enhancing the complexity and testing the ability to manipulate the basic speed, distance, and time relationship in various practical scenarios.more
Distance and Speed to Time - Return Trip (Level 2)
This math topic focuses on calculating the duration of a return journey using given average speeds and distances. The problems involve a series of scenarios where a car travels to a town and back, requiring learners to use the distance-speed-time relationship to determine how long the return trip takes. Each query provides multiple-choice answers, enhancing problem-solving skills within the context of practical situations involving motion. The overall theme of these problems is embedded in an advanced unit on speed, distance, and time calculations.more
Speed and Time to Distance - Return Trip (Level 2)
This math topic focuses on calculating distances using given speeds and travel times, incorporating return trips. It advances understanding of speed, distance, and time relationships by requiring learners to apply these concepts to scenarios involving cars traveling to a town and returning. Each question requires determining the distance to the town based on the time spent traveling and the average speed of the car. This set of problems is from a unit specifically tailored to develop proficiency in handling more complex speed, distance, and time calculations.more
This math topic focuses on calculating speeds from given distances and times, incorporating conversions between different units (e.g., kilometers to meters, minutes to seconds). It covers a variety of scenarios where the learner must derive the speed of a car in different measurement units by applying unit conversions and formulas. The problems require understanding and application of basic distance-time-speed relationships, enhanced by conversion between metric units like millimeters, centimeters, meters, and kilometers. The exercises also involve variable representations, requiring comprehension of both formula manipulation and unit analysis.more
This math topic focuses on practicing the conversion of metric length units involving decimals from larger to base units. It includes converting measurements such as millimeters, decimeters, hectometers, and kilometers into meters. Each question presents a different starting value with multiple choice options for the correct conversion to meters. This topic not only enhances understanding of metric unit conversions but also precision with decimal values, promoting skills useful in contexts of speed, distance, and time calculations.more
This topic focuses on converting metric length units from larger to base units while incorporating decimals. It enhances understanding of units like meters (m), kilometers (km), hectometers (hm), decameters (dam), and decimeters (dm), as well as their conversions among each other. Each question provides a metric length that students need to convert to a different unit. Multiple choice answers are provided for each conversion problem, allowing students to practice and verify their understanding of metric length conversions. This subject forms part of broader lessons on speed, distance, and time.more
This math topic focuses on converting commonly used metric length units with decimals from smaller to base units (meters). The conversions covered include units such as kilometers, hectometers, decimeters, and millimeters. Each problem includes multiple-choice answers, requiring the learner to select the correct conversion based on understanding the metric system's hierarchical structure. The broader unit of study is Speed, Distance, and Time, aiming to enhance real-world application skills in these areas.more
This math topic focuses on converting metric length measurements with decimals between various units such as meters to centimeters, meters to kilometers, and decimeters to meters. It aims to enhance understanding of measurement conversions within the metric system, specifically from smaller units to the base unit. The task progression covers fundamental conversions, supporting the broader study of speed, distance, and time calculations. Each problem provides multiple choices to affirm the correct unit conversion, critical for grasping practical applications in real-world contexts.more
This math topic focuses on practicing conversion between different metric units of length, incorporating decimals. The problems require converting larger metric units to smaller ones, such as decameters to centimeters, centimeters to millimeters, meters to decimeters, and kilometers to hectometers. Each question offers multiple-choice answers, testing the students' understanding of the mathematical processes involved in unit conversion within the metric system. This topic forms part of a unit on speed, distance, and time, highlighting practical applications in measuring and calculating various dimensions using different units.more
This math topic focuses on practicing the conversion of metric length units with decimal precision, specifically converting larger units to smaller units. Questions involve calculations converting values from kilometers, hectometers, decimeters, and meters into decameters, millimeters, meters, and centimeters. This is part of a broader unit on speed, distance, and time aimed at developing proficiency in typical metric conversion tasks, vital for problem-solving in real-world contexts and scientific studies. The examples and multiple-choice answers provided help reinforce the understanding of the metric system's scalability and decimal relationship between units.more
This math topic focuses on converting units of metric length with decimals, specifically from smaller to larger units. Students practice converting between metric units such as decimeters (dm), millimeters (mm), decameters (dam), hectometers (hm), and kilometers (km). Each problem requires converting a given measurement to a different unit, highlighting knowledge of the metric system and accuracy in calculations involving decimal value conversions. The exercises are suitable for enhancing skills in unit conversion within the framework of speed, distance, and time computations.more
This math topic focuses on converting metric length units with decimals, specifically from smaller to larger units. It covers conversions between centimeters, decimeters, meters, and decameters. The problems involve calculating and understanding decimal placements when shifting between scales such as millimeters to centimeters or decimeters to meters. This set of exercises is designed to enhance skills in handling metric system conversions, reinforcing an understanding of unit scales and their mathematical relationships within the context of measurement.more
This math topic focuses on the conversion of metric length units with decimals. It includes problems on converting measurements between meters, centimeters, millimeters, and kilometers. Each question requires identifying the correct conversion among multiple options, sharpening skills in metric system conversions and decimal placement. This is part of a broader introduction to metric unit conversions, aimed at enhancing accuracy and proficiency in dealing with various metric lengths in different forms.more
This topic revolves around practicing conversion of metric length measurements with decimals. The focus is on converting various metric lengths such as meters, centimeters, and kilometers to smaller or larger metric units such as millimeters, centimeters, or meters. These problems test the students' understanding and application of the metric conversion system by providing direct conversion tasks with multiple-choice answers for each question.more
This math topic covers the conversion of time units incorporating decimals, highlighted within broader exercises on metric unit conversion. Students will practice transforming time measurements across various scales such as days to hours, seconds to milliseconds, and minutes to seconds. Each question provides multiple choice answers, enhancing the understanding of decimal placements and magnitude in unit conversions. This set of problems fosters skill in converting and understanding time units within a metric framework, essential for competence in practical and theoretical applications of measurement in math.more
This math topic focuses on converting units of time that involve decimals across several metric units. It tests skills in converting time measurements such as hours to minutes, seconds to milliseconds, and days to hours. Each problem presents a specific time unit conversion query along with multiple-choice answers to reinforce learning and accuracy in metric unit conversions related to time.more
Distance and Speed to Time - Variables, Changed Distance Units (Level 1)
This math topic focuses on calculating time required for travel given various speeds and distances. It explores problems involving different units of measurement for speed (m/s, mm/min, mm/d, km/s, cm/min, mm/hr, m/ms) and distance (km, m, mm, cm). Each problem requires conversion between units and application of the formula for time, utilizing algebra with variables representing different quantities. The skills practiced include unit conversion, solving for time in the context of speed and distance, and handling varied units within complex word problems in an advanced context of speed, distance, and time.more
Speed and Time to Distance - Variables, Changed Distance Units (Level 1)
This math topic focuses on problems involving calculating distances based on speed and time. It involves various units of measurement like meters per second (m/s), millimeters per hour (mm/hr), centimeters per second (cm/s), and meters per day (m/d). Questions require converting the distance into different units like centimeters, meters, and millimeters. The problems are set in contexts where variables are introduced for speeds and times, and conversions between different units of measurement are necessary to find the correct answers.more
This math topic focuses on calculating speed when given distance and time, involving changes in units. Students practice converting distance or time measurements (such as centimeters to meters, minutes to hours) to determine the speed of a car in various scenarios. Each problem requires students to solve for speed in different units like cm/s, m/hr, cm/min, mm/d, or m/min, based on provided distances in centimeters, meters, or millimeters, and times in milliseconds, minutes, or hours. This set of problems enhances skills in manipulating formulas, unit conversion, and applying concepts to real-world scenarios within the context of speed, distance, and time calculations. more
This math topic focuses on calculating speed from given distances and time intervals, reinforcing the formula speed = distance/time. Students solve problems involving various units of measurement such as meters per hour, millimeters per minute, and kilometers per hour. The problems present distances and times with different variables and require the student to manipulate these variables to find the rate of speed in various units.more
Variable Manipulation - From Formula (Level 1)
This math topic focuses on understanding variables and their manipulation in the context of the formulae related to speed, distance, and time. Students are engaged in identifying the physical quantities that result from specific algebraic operations involving speed (s), distance (d), and time (t). Problems require the identification of measurements such as speed, distance, or time from given algebraic expressions like \( \frac{s}{t} \), \( \frac{d}{t} \), among others. This is particularly helpful for developing skills in interpreting and rearranging mathematical equations commonly used in physics and other applied sciences.more
Distance and Speed to Time - Variables, Changed Time Units (Level 1)
This math topic practices skills involving speed, distance, and time calculations with advanced applications. It includes converting units and dealing with variables to find the time required for a car to cover a specific distance given its speed. Each problem provides multiple answers with expressions representing different mathematical approaches to solving the speed-distance-time relationship. The topic ensures that students can apply formulas correctly and understand the relationship between these three key elements in various contexts, enhancing problem-solving skills in practical scenarios.more