Grade 6

64 Units, 148 Skills

Decimal Foundations - Advanced

Unit 1

Place Value and Rounding - To Millions and Thousandths

Unit 2

Fractions - Mixed - Practice

Unit 3

Divisibility Rules - Intro

Unit 4

Exponents - Intro

Unit 5

Order of Operations - Intro

Unit 6

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

Unit 7

Geometry - Shape Classification (2D) - Advanced

Unit 8

Patterning - Number Patterns Intro

Unit 9

Geometry - Angles and Transformations - Intro

Unit 10

Data and Graphs - Advanced

Unit 11

Probability and Counting - Single Event - Intro

Unit 12

Rates and Ratios - Intro

Unit 13

Area Practice

Unit 14

Perimeter Practice

Unit 15

Factoring and Primes - Practice

Unit 16

Fraction Addition and Subtraction - Intro

Unit 17

Triangle Area - Intro

Unit 18

Decimal Addition and Subtraction - Practice

Unit 19

Cartesian Grid Basics - Intro

Unit 20

Perimeter Advanced

Unit 21

Time - Elapsed Time - Intro

Unit 22

Area Trapezoids and Parallelograms

Unit 23

Decimal Multiplication - Intro

Unit 24

Multiplication - 2 Digit

Unit 25

Time - Elapsed Time, Negative - Intro

Unit 26

Decimal Division - Intro

Unit 27

Factoring and Venn Factor Diagrams - Intro

Unit 28

Fraction Comparing - Intro

Unit 29

Division 3 by 1 Digit

Unit 30

Digits and Divisibility - Intro

Unit 31

Speed, Distance, and Time - Intro

Unit 32

Exponents - Practice

Unit 33

Percentages - Intro

Unit 34

Cartesian Grid Basics - Practice

Unit 35

Geometry - Angles and Transformations - Practice

Unit 36

Exponents - Multiplication - Intro

Unit 37

Area and Perimeter Basic Shapes

Unit 38

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

Unit 39

Multiplication - 2 and 3 Digit

Unit 40

Measurement - Units Intro - Metric

Unit 41

Geometry - Circle Concepts - Intro

Unit 42

Probability and Counting - Single Event - Practice

Unit 43

Time - Elapsed Time - Practice

Unit 44

Order of Operations - Practice

Unit 45

Geometry - Circle Circumference - Intro

Unit 46

Geometry - Shape Classification (3D) - Intro

Unit 47

Factoring and Venn Factor Diagrams - Practice

Unit 48

Percentages - Tax, Tips, and Discounts

Unit 49

Time - Elapsed Time, Negative - Practice

Unit 50

Rates and Ratios - Practice

Unit 51

Fraction Multiplication - Intro

Unit 52

Triangle Area - Practice

Unit 53

Squares and Square Roots - Intro

Unit 54

Algebra Basic Concepts - Intro

Unit 55

Factoring and Greatest Common Factor - Intro

Unit 56

Geometry - Circle Area - Intro

Unit 57

Decimal Multiplication - Practice

Unit 58

Factoring and Lowest Common Multiple - Intro

Unit 59

Fraction Addition and Subtraction - Practice

Unit 60

Scientific Notation - Intro

Unit 61

Fraction Comparing - Practice

Unit 62

Decimal Division - Practice

Unit 63

Fraction Addition and Subtraction, Mixed - Intro

Unit 64

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

Unit 39

This math unit focuses on developing skills in basic statistics, particularly emphasizing the understanding and application of mean, median, mode, and range. Initially, students learn to calculate the mean from given sums and counts, setting a foundational knowledge of averages. Progressing further, learners engage in exercises to calculate sums based on known means and counts, and then sharpen their ability to find the mean of smaller sets of numbers directly. The unit builds on these concepts by teaching how to determine the median and range, enhancing students' ability to analyze data sets fully. As students gain proficiency in these areas, the unit introduces more complex scenarios, such as finding a missing number to achieve a specified mean, and understanding the impact of adding a number to a set on the mean. These advanced topics not only reinforce earlier skills but also prepare students for deeper statistical analysis by understanding how individual data points affect overall data characteristics. Through a mixture of calculation and problem-solving, learners are trained to manipulate and interpret statistical data effectively within the framework of probability and statistics.more

Skills you will learn include:

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Learning through Game Play

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

Mean with Value Missing (Level 2)

This math topic focuses on calculating the missing number that ensures a specified average (mean) in a set of numbers. Each problem presents a small set of numbers where one value is missing, and the goal is to determine what that missing number must be to achieve the stated mean. The skill practiced here is fundamental to understanding averages and is crucial for advanced studies in statistics and probability. The problems progress through various difficulty levels and scenarios, reinforcing the ability to manipulate and calculate numerical data effectively.more

Mean with Value Added (Level 1)

This math topic focuses on calculating the mean with an additional value. It involves determining a single number that can be added to a set of existing numbers to achieve a specified mean. The problems present sets of numbers and ask for the required number that, when added, results in a given mean. Various sets and target means are used across the questions to offer a range of scenarios that test understanding of averaging and basic arithmetic operations. This enhances problem-solving skills related to statistics, specifically within the context of calculating means.more

Mean with Value Added (Level 2)

This topic focuses on advanced problems in statistics, specifically calculating additional values required to achieve a specified mean. Problems consist of finding a single number that, when added to a given set of numbers, results in a predetermined mean. Various sets of numbers and target means are provided for practice, and multiple potential answers are offered in a multiple-choice format. This forms part of a broader set of problems dealing with mean, median, and mode, emphasizing statistical calculations and comprehension.more

Mean Change with Value Added (Level 1)

This math topic focuses on understanding how adding a specific number to a set of data points affects the mean. The problems provide sets of numbers and specify how the mean should change (increase or decrease by a fixed amount). Students are required to determine which number, from a set of multiple choices, can be added to the original data so that the desired mean change occurs. This involves using concepts from probability and statistics, particularly focused on calculations involving the mean, and enhances relational understanding between data changes and average outcomes.more

Mean with Value Removed (Level 1)

This math topic focuses on practicing the calculation of the mean (average) in a set of numbers from which a single value has been removed. It challenges students to identify which specific number, when taken out from a set, will result in a given mean. The problems are structured in a multiple-choice format with sets of three numbers and a target mean for students to achieve by removing one of the numbers. This skill is essential for understanding statistical concepts and developing analytical skills in handling numerical data.more

Mean with Value Removed (Level 2)

This math topic focuses on calculating the mean of a set of numbers after removing a specific value to achieve a given mean. It includes several problems where students must determine which number from a list can be removed to result in the desired mean for the remaining numbers. This skill is categorized under advanced probability and statistics, specifically in the area of mean, median, and mode. The problems vary in difficulty and number set, providing students with diverse and challenging scenarios to develop their statistical reasoning and problem-solving skills.more

Mean Change with Value Added (Level 2)

This math topic involves calculating the single number that can be added to a set of given numbers to achieve a specified change in their mean. Problems involve either an increase or decrease in the mean. Each problem provides a set of numbers and a target change in the mean, and students must select the correct number from multiple choices that will result in the described change in mean. This practice is part of a broader unit focused on advanced concepts of mean, median, and mode within the field of probability and statistics.more

Mean Change with Value Removed (Level 1)

This math topic focuses on understanding how the mean of a set of numbers changes when a single value is removed. It presents multiple problems where students need to figure out which number can be removed from a given set to achieve a specified change in the mean. This involves critical thinking and application of statistical concepts within the broader unit of Probability and Statistics, particularly focusing on Mean, Median, and Mode at an advanced level.more

Mean Change with Value Removed (Level 2)

This math topic focuses on understanding how the mean of a set of numbers is affected when a specific value is removed. The problems present various sets of three numbers and describe a desired change in the mean. The task is to identify the number which, when removed, results in the stated change of mean. This involves critical thinking and computation related to the concept of averages (mean) in statistics, within the broader scope of mean, median, and mode at an advanced level.more

Solve for Mode (Level 2)

This math topic focuses on solving for the mode of a set of numbers. It is designed to enhance understanding of the concept of mode, which is the value that appears most frequently in a data set. The problems provided in the worksheet involve identifying the mode from different sets of numbers. Each question presents a set of numbers and multiple choice answers to select from. This activity is aimed at developing skills in basic statistics within the broader unit on mean, median, and mode.more

Solve for Mode (Level 1)

This math topic focuses on practicing the skill of finding the mode of a given set of numbers. Students are presented with various number sets and asked to identify the mode, which is the number that appears most frequently in each set. The topic is introduced as part of a broader unit on introductory concepts in probability and statistics, specifically addressing mean, median, and mode. The problems are multiple-choice, offering several options from which to select the correct mode.more

Solve for Median (Level 1)

This math topic focuses on the skill of finding the median of a small set of numbers, part of basic statistics within the broader category of probability and statistics. The problems involve identifying the middle value in various sets of three numbers presented. Students must sort these three numbers and determine which number represents the median. This specific practice is crucial for understanding fundamental statistical concepts, relevant to introductory lessons on mean, median, and mode.more

Solve for Mean (Level 2)

This math topic focuses on practicing the calculation of the mean (average) of small sets of numbers. It is part of an introductory unit on mean, median, and mode within probability and statistics. Each question provides a set of three numbers, and asks students to calculate their mean, offering multiple choices for the answers. This provides a hands-on learning experience with basic statistical measures, specifically focusing on understanding and computing the average value from given data points.more

Solve for Sum from Mean and Count (Level 3)

This math topic focuses on determining the sum of a set of numbers given their mean and the count of the numbers. The problems present scenarios where learners are provided with the mean of either 3, 4, or 5 numbers and are asked to calculate their total sum. It incorporates the application of the formula for mean, which is the sum of the numbers divided by the number of numbers, to solve for the sum. This topic helps in understanding and executing basic statistical calculations involving mean within the broader context of probability and statistics, emphasizing mean, median, and mode.more

Solve for Mean (Level 1)

This math topic focuses on calculating the mean of given sets of numbers. It includes problems where students are provided with three numbers and tasked with determining their mean. Each question presents multiple-choice answers to select from. The problems are designed to enhance understanding of basic statistics, specifically the computation and application of the mean in data sets, as an introduction to larger statistical concepts like probability and measures of central tendency.more

Solve for Count from Mean and Sum (Level 1)

This math topic focuses on practicing how to determine the count of numbers in a set given their total sum and mean. It involves basic arithmetic and introduces students to concepts associated with statistics, particularly in calculating the number of data points when the average and total are known. The problems are framed in a multiple-choice format, providing a practical application of the mean formula in various contexts. This is part of a more comprehensive introduction to probability and statistics, particularly mean, median, and mode.more

Solve for Sum from Mean and Count (Level 2)

This math topic focuses on calculating the total sum of numbers given their mean and count. It includes problems where students are asked to determine the sum of a specific number of values based on their known average. Primarily, it reinforces understanding of the relationship between mean, count, and sum in practical application, enhancing skills in basic statistics and arithmetic operations integral to probability and statistics.more

Solve for Sum from Mean and Count (Level 1)

This math topic focuses on calculating the sum of a set of numbers given their mean and count. It explores how to apply the formula for mean: \(\text{Mean} = \frac{\text{Sum of elements}}{\text{Number of elements}}\), to find the sum. This area is an introduction to basic statistics and includes problems where learners find the total sum of numbers when the average (mean) and the count of the numbers are provided. The problems range from simple calculations using smaller sets of numbers to more numbers, giving learners practice in handling basic statistical calculations efficiently.more

Solve for Mean from Sum and Count (Level 2)

This math topic focuses on calculating the mean of a set of numbers. Learners are given various scenarios where they must determine the mean from a sum of numbers for a specified count. The problems are structured to provide practice in computing averages, enhancing understanding of a basic statistical concept within the broader theme of Probability and Statistics, specifically the Mean, Median, and Mode segment. The worksheet includes multiple choice answers to reinforce learning and validate the understanding of the concept of mean.more

Solve for Mean from Sum and Count (Level 1)

This math topic focuses on calculating the mean of a set of numbers. Specifically, it involves finding the average by dividing the sum of given numbers by their count. This topic includes multiple-choice questions where learners practice computing the mean for various sums and counts of numbers, enhancing their understanding of basic statistics within the context of probability and statistics—mean, median, and mode. Each question presents a different sum and count scenario, requiring the application of the mean formula: mean = sum of numbers / count of numbers.more

Solve for Count from Mean and Sum (Level 2)

This math topic focuses on solving for the count (number of items) in a data set from given values of mean and total sum. It is a part of a broader unit on introductory concepts of Probability and Statistics, specifically targeting the concepts of mean, median, and mode. The problems present a data set's total sum and mean, asking to determine how many numbers are in the set. This exercise aims to reinforce understanding of relationships between mean, sum, and the count of elements in statistical data analysis.more

Solve for Mean from Sum and Count (Level 3)

This math topic focuses on calculating the mean (average) of a set of numbers given their sum and count. By dividing the sum of values by the number of values in each problem, students practice determining the mean. The topic includes multiple-choice questions where learners must select the correct mean for sets of 3, 4, or 5 numbers with different total sums. This topic is essential for understanding basic statistical concepts and is part of a larger unit on mean, median, and mode within probability and statistics.more

Solve for Median (Level 2)

This math topic focuses on calculating the median from given sets of numbers. It challenges students through a series of questions to determine the middle value after arranging the provided numbers in numerical order. Each question presents multiple choice answers, enhancing comprehension of median calculation in a straightforward manner. This is part of an introductory unit on mean, median, and mode within the broader framework of probability and statistics.more

Solve for Count from Mean and Sum (Level 3)

This math topic focuses on solving for the count (number of items) in a dataset given the sum and the mean of the data. It tests the ability to apply the formula for finding the mean: mean = sum / count, by rearranging it to find the count: count = sum / mean. These skills are part of a broader unit on probability and statistics, particularly focusing on the concepts of mean, median, and mode. The topic contains multiple-choice questions that require solving different scenarios to find how many numbers are present in sets with specified sums and means.more

Solve for Mean (Level 3)

This math topic focuses on practicing the calculation of the mean (average) from a given set of numbers. Each question presents a different set of numbers and asks the learner to find the mean. Multiple choice answers are provided for each question, testing the learner's ability to accurately compute and select the mean from a list of options. The topic is part of a larger unit dealing with basic statistical measures, including mean, median, and mode. These problems help in enhancing the understanding and application of averaging numbers in statistics.more

Solve for Range (Level 1)

This math topic involves practicing the calculation of the range in a set of numbers. The range is found by subtracting the smallest number from the largest number in each given dataset. Each problem provides a series of numbers, and students are tasked with determining the range. Multiple answer options are given for each set, but only one is correct. This subject is part of a broader unit on probability and statistics, including an introduction to mean, median, and mode.more

Solve for Range (Level 2)

This math topic focuses on calculating the range of a set of numbers. It is part of a broader unit that introduces basic statistics concepts including mean, median, and mode. Multiple-choice questions on the topic provide sets of three numbers, and students are required to determine the range, with various answer choices given. This practice allows students to develop their ability to analyze and interpret numerical data through the calculation of the range, enhancing their understanding of data dispersion in statistics.more

Solve for Median (Level 3)

This math topic focuses on practicing the computation of the median from a list of numbers. It targets skills in arranging data numerically and identifying the middle value in sorted lists. Each of the seven questions presents a different set of numbers, with multiple-choice answers provided for the calculated median. The difficulty appears to be introductory to intermediate, making it suitable for learners looking to solidify their understanding of median in the context of basic statistics.more

Solve for Mode (Level 3)

This math topic focuses on finding the mode of various number sets. It is part of a broader unit on 'Probability and Statistics - Mean, Median, and Mode.' Aimed at refining students' ability to determine the most frequently occurring number in a dataset, the topic contains seven questions, each with a set of six potential answers, from which the mode must be identified.more

Solve for Range (Level 3)

This math topic focuses on calculating the range of a set of numbers. It is a part of a broader unit on probability and statistics that includes mean, median, and mode. The problems involve finding the range from various sets of integers by determining the difference between the highest and lowest numbers in each set. Students are given multiple choice answers to select from and need to identify the correct range. This topic helps in understanding the spread and distribution of values within datasets.more

Mean with Value Missing (Level 1)

This math topic focuses on finding the missing value in a set of numbers to achieve a specified mean. It enhances skills in understanding and calculating the mean (average) of a dataset, which is crucial in statistics. This involves adding known numbers, determining the sum needed to reach the targeted mean with the given number of entries, and solving for the unknown. The problems are presented in a multiple-choice format with various options, challenging the student's ability to apply concepts of averages in practical scenarios. This is part of an advanced unit on mean, median, and mode within probability and statistics.more