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
This math unit begins by reinforcing the fundamentals of place value, starting with identifying the value of individual digits within various numbers, both large and small. Students learn to discern the worth of digits in decimal and whole number settings, becoming adept at recognizing units from thousands to hundredths. Progressing through the unit, learners delve deeper into decimals by comparing decimal numbers and converting numbers between normal and expanded forms, both numerically and in word format. Building on this foundation, the unit advances to include more complex activities such as understanding and expressing decimal place values up to ten-thousandths. Toward the latter part of the unit, exercises focus on extending place value understanding to millions, both in numeric and written word forms, and solving placement challenges to form multi-digit numbers. Overall, the unit equips students with a robust understanding of place values, enhancing their numerical comprehension across a spectrum of math-related concepts.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 Place Value and Rounding - To Millions and Thousandths.
This math topic focuses on building and understanding place value of decimals. It emphasizes the skill of converting decimals from an expanded word form into a standard numerical form. Specifically, students practice forming one-digit decimal numbers based on word descriptions involving whole numbers and tenths (e.g., "five + seven tenths"). Each problem is presented with multiple-choice answers, requiring students to select the correct decimal number representation. The content is tailored for foundational learning in place value, targeting concepts around thousands and hundredths. more
This math topic covers the practice of converting 2-digit decimal numbers from their normal form to expanded form. It involves breaking down decimals into their place values, thus enabling a better understanding of decimal concepts up to the hundredths place. This skill is a part of a broader unit on place value and rounding, specifically aimed at understanding the values to thousands and hundredths. Seven individual problems are provided, where students are tasked to correctly expand given decimal numbers, testing and reinforcing their understanding of decimal place value.more
This math topic focuses on understanding and practicing how to convert decimal numbers into their expanded forms using words. The decimals are all two-digit numbers and the exercise requires expanding these into expressions of tenths and hundredths, articulated in words. This is part of a broader unit on place value and rounding, specifically dealing with numbers to the thousands and hundredths decimal places, aimed at enhancing students' foundational understanding of how to handle and interpret decimal places in numbers. Each question presents a decimal and multiple choice answers for students to select the correct expanded form.more
This math topic focuses on practicing the expansion of three-digit decimal numbers into their place values. It is designed to enhance understanding of decimals in normal form by converting them into expanded form using their numerical values from tenths, hundredths, to thousandths. This is part of a broader unit on place value and rounding that spans from millionths to thousandths. Through these problems, learners can deepen their grasp of decimal place values and how to articulate them accurately in expanded mathematical expressions.more
This math topic focuses on comparing decimal numbers up to the hundredth place. Students are required to determine the relationship between pairs of decimal numbers by selecting the appropriate inequality symbol: less than (<), greater than (>), or equal to (=). This skill is part of a broader unit on understanding place value and rounding numbers to the thousands and hundredths.more
This math topic focuses on understanding the place value of digits in large numbers, up to millions and thousandths. Problems provide a selection of numbers and ask learners to determine the value of a specified digit (e.g., identifying when '7' represents 7, '8' is worth 800, etc.). The exercises help strengthen number sense, build familiarity with numerical positions, and promote analytical thinking by challenging students to correctly locate and value digits within variously sized numbers. This is a critical skill in foundational mathematics that extends to more complex mathematical operations and problem solving.more
This math topic involves practicing place value skills by identifying missing numbers in equations to form six-digit numbers. Students are required to understand and apply their knowledge of place values from units to millions to correctly complete the equations. Each problem is structured by adding known digits and blanks, which students must fill in to match a given total. The problems range from simple additions involving smaller place values like units and tens, to more complex scenarios involving thousands and hundreds of thousands. This topic helps strengthen a student's understanding of number structure and decimal place values up to millions and thousandths.more
This math topic focuses on converting six-digit numbers from their normal numeric form to expanded form written as words. It practices the understanding of place value, specifically dealing with figures ranging from thousands to millions. Each problem provides a six-digit number and asks to express it using terms like "hundred thousand," "ten thousand," etc., enhancing familiarity with large numbers and their breakdown.more
This math topic practices converting decimal numbers from expanded form, expressed in words, into their standard numeric form. The problems focus on building and understanding decimal number structures up to the ten-thousandths place. Each question provides an expression with decimal place values expressed verbally and asks to select the correct standard numeral form among multiple choices. This includes exercises that improve comprehension of different decimal places such as tenths, hundredths, thousandths, and ten-thousandths. This helps solidify a learner’s grasp on decimal place values and their notational format.more
This math topic focuses on converting seven-digit numbers from their standard form to expanded form. It is part of a broader curriculum on place value and rounding, which covers understanding values up to the millions and precise to the thousandths. The problems require students to decompose numbers by their place values, identifying the contribution of each digit to the overall number (e.g., turning 1300030 into "1,000,000 + 300,000 + 30"). Each question offers multiple choices, enhancing the understanding of place value concepts.more
This math topic focuses on understanding the value of specific digits within large numbers, ranging from the units to millions place. The problems require identifying the numerical value of a highlighted digit in several multi-digit numbers. Each question presents a different number, with multiple-choice answers for what a particular digit represents in the given number, enhancing skills in place value recognition and rounding up to millions and thousandths.more
This math topic focuses on understanding decimal place values by converting numbers from normal form to expanded form accurately up to four decimal places. It emphasizes recognizing the value of each digit within a decimal number, applying this through a set of problems where students must expand given four-digit decimal numbers correctly. Each problem presents multiple choices, where students must select the correct expansion which reflects the values of individual decimal places such as tenths, hundredths, thousandths, etc. This topic is part of a broader unit dealing with place value and rounding, covering ranges up to millions and thousandths.more
Ordering 2 Integers (ascending) (Level 3)
This topic focuses on enhancing number sense skills by practicing the ordering of pairs of integers in ascending order. It is designed as part of a broader unit on place value and rounding, relevant up to the thousandths place. Each problem presents two integers, and the task is to sequence them from lowest to highest, with two potential answer choices provided for each scenario. This skill is crucial for building foundational understanding in place value and developing logical thinking in the context of numerical order.more
This math topic is focused on recognizing and determining the place value of digits in various numbers, fundamentally enhancing the understanding of the decimal number system inclusive of thousands and hundredths. It includes problems that ask students to identify the value of specified digits in different numbers, such as distinguishing if a digit represents units of thousands, hundreds, tens, or ones. Specific examples include determining if '4' in a number is worth 400, or if '5' is worth 50,000, among others, from a set of options provided. This practice helps solidify the concept of place values in diverse number settings.more
Ordering 3 Integers (ascending) (Level 3)
This math topic focuses on the skill of ordering three integers in ascending order, aiding students in understanding place value and rounding up to thousands and hundredths places. Each question provides a set of three numbers, and learners are required to arrange them from the smallest to the largest. This practice helps in enhancing number sense and proficiency in sorting numerical data efficiently.more
This topic focuses on comparing decimal numbers up to the thousandths place. Learners practice determining the relationship between two decimals using comparison operators: less than (<), greater than (>), or equals (=). It is introduced as part of a broader unit on decimal addition and subtraction, providing a foundation for more complex operations involving decimals. The problems involve analyzing and deciding the correct operator to relate two given decimals, enhancing the students' ability to accurately compare small decimal differences.more
This math topic focuses on understanding the place value of digits in multi-digit numbers, specifically dealing with place values to the thousands and hundredths places. It includes various questions where students are asked to identify the value of a particular digit in given numbers ranging from the thousands to the units place. The questions are structured to assess learners' ability to recognize and calculate the positional value of digits within larger numbers. This involves differentiating between the values of the same digit in different positions, enhancing their grasp of number concepts and decimal understanding.more
This math topic focuses on comparing decimal numbers up to the thousandths place. Each problem presents a pair of decimals, asking students to identify the correct relational operator (<, >, or =) that describes the relationship between the two. This set of exercises enhances understanding of decimal places and fosters proficiency in evaluating numerical order for decimals, a foundational skill necessary for more advanced arithmetic involving decimals such as addition and subtraction.more
This math topic focuses on the concept of place value, specifically identifying missing values within numbers to complete equations correctly. The problems present the task of determining the missing digits to form a correct five-digit number, ranging from the thousands to the hundredths place. Students are given multiple choices to find the right placeholder value to solve equations consistently formatted like "X + ___ + Y = Z," where they must deduce and select the correct number to place in the blank to make the equation true. These exercises are aimed at enhancing understanding and manipulation of place values within larger numbers.more
This topic focuses on converting expanded decimal numbers to their normal form and building four-digit decimal numbers through addition. The math skills practiced include understanding the place value of decimals up to thousandths and adding decimal numbers accurately. Each question provides a set of decimal components that students must add together to find the correct four-digit decimal result, enhancing their familiarity with decimal places and addition.more
This math topic focuses on practicing the conversion of six-digit numbers from their normal form into expanded form. It is part of a broader unit aimed at understanding place value and rounding numbers up to millions and thousandths. Learners are presented with a series of six-digit numbers and are required to break these numbers down into their individual place values. This process helps in reinforcing the comprehension of each digit's significance in larger numbers, cultivating number sense essential for further mathematical concepts.more
This math topic focuses on understanding the place value of digits within large numbers, specifically up to the millions and thousandths. The problems require determining the numerical value of specific digits in various numbers, testing comprehension of how each digit's position influences its worth. Students will practice identifying the placeholder value of digits, a core skill for mastering number sense and operations in larger numerical contexts.more
Ordering 2 Integers (ascending) (Level 4)
This math topic focuses on developing number sense by practicing how to order pairs of integers in ascending order. The integers involved range widely, helping to reinforce understanding of place value and rounding skills, specifically up to the millions and thousandths places. Each question provides a pair of integers and asks to sequence them from lowest to highest, offering two answer choices for verification. This set of problems is essential for understanding numerical order and magnitude.more
This math topic focuses on expanding three-digit decimal numbers into words. Each problem asks to represent decimal numbers like 0.306, 0.309, 0.808, etc., in wording form based on place values, specifically in terms of tenths, hundredths, and thousandths. It involves writing out the decimal parts of numbers using terms like "tenths" and "thousandths" to help understand and visualize the value of each decimal place. The problems are structured to reinforce knowledge of decimal place values and conversion from a numeric representation to a worded format.more
This math topic focuses on understanding and identifying missing values in decimal place value equations. Specifically, it teaches how to complete three-digit decimal numbers by finding the missing summand in addition problems. The problems are structured to enhance skills related to place value and rounding concepts, ranging up to millions and down to thousandths. Each question includes multiple choice answers, encouraging the learner to determine which decimal value, when added to a given number, results in the specified sum. This practice aims at reinforcing decimal comprehension and arithmetic operations.more
This math topic focuses on expanding one-digit decimal numbers into words. It aims to enhance understanding of place value and rounding, specifically dealing with numbers to the thousands and hundredths. Each problem provides a decimal number and asks to express it in words by breaking down the whole number and decimal parts separately. The expanded forms are presented for learners to select the correct phrasing, reinforcing their knowledge of decimal place values through practical examples.more
This math topic focuses on converting decimals from expanded word form to their standard numerical form, specifically dealing with two-digit decimal numbers including tenths and hundredths places. The problems involve interpreting expressions that add values in tenths and hundredths and selecting the correct decimal representation from multiple choices. This subject is included within a broader unit on place value and rounding, focusing on number formations up to the thousandths. Each question is structured to help build understanding of decimal place value by linking verbal descriptions with numerical equivalents. more
This math topic focuses on practicing decimal place values. It includes exercises where students must find the missing number to complete equations involving one-decimal digit numbers, enhancing their understanding of decimal addition and place value relationships. The problems ask students to identify the correct decimal or whole number that, when added to another given number, equals a target sum featuring decimals. This topic is categorized under place value and rounding, specifically up to the thousandths place. Each problem offers multiple-choice answers, reinforcing the concept of place value in decimal numbers.more
This math topic focuses on converting a 5-digit normal number form into its expanded form using words. It is part of a broader unit on place value and rounding, dealing specifically with numbers up to the thousands place and including hundredths. Each question requires expanding a different 5-digit number, reinforcing the understanding of place values such as thousands, hundreds, tens, and ones, expressed verbally.more
This math topic focuses on converting expanded form numbers, given in words, into their standard numerical form. It encompasses problems where learners must synthesize given units (like thousands, hundreds, and tens) expressed verbally into consolidated five-digit numbers, to gain proficiency in understanding and applying place value concepts up to the thousands and hundredths. This involves critical thinking and meticulous attention to detail to ensure every place value is correctly positioned. The skill is part of a larger unit on place value and rounding, where accuracy and numeral understanding are pivotal.more
This math topic focuses on converting numbers from their normal form to an expanded form. Specifically, it involves expanding five-digit numbers by breaking them down into sums of each digit multiplied by their corresponding place value, such as thousands, hundreds, tens, and units. The problems require understanding and applying the concept of place value to accurately express numbers in expanded form, enhancing skills related to recognizing and manipulating numbers up to tens of thousands. Each question offers multiple answers, where the correct selection reflects precise comprehension of place values.more
This math topic focuses on understanding place values using decimal numbers by converting from expanded form to normal form. Specifically, the problems involve adding a whole number to a decimal fraction (tenths place) and expressing the result as a decimal number. It's designed to enhance skills in placing and rounding decimal numbers up to the thousandths place. The format asks learners to select the correct decimal representation amongst multiple choices. Each exercise underscores comprehension of decimal place values and the basic addition of decimals.more
This math topic focuses on converting seven-digit numbers from their standard numerical form to expanded form using words. It practices understanding and applying place value concepts to large numbers, extending up to millions. Each problem requires interpreting the numerical value and expressing it as a sum of its individual place values in a written format, enhancing comprehension skills related to place value and rounding principles up to millionths and thousandths.more
This math topic involves practicing the understanding of place value with decimals to determine the missing decimal component in a sum. The problems are structured as simple addition equations where one component is given, and the student must identify the missing decimal to complete the two-digit result correctly. Each equation is followed by multiple-choice answers. The topic is part of a broader unit on place value and rounding, addressing knowledge up to the thousandths place.more
This topic focuses on understanding and practicing the conversion from normal decimal numbers to their expanded forms. Students expand one-digit decimal numbers by breaking them down into their whole number and decimal parts. For example, the number 1.8 is expanded to 1 + 0.8, demonstrating a clear understanding of place values in the context of decimals, up to the tenths place. Questions offer multiple choice answers, challenging students to select the correct expanded form. Overall, this exercises critical thinking in decimal place value understanding.more
This math topic focuses on converting numbers from expanded decimal form to normal form in the context of place values and rounding, to millions and thousandths. The problems require students to add decimal values to form three-digit decimal numbers, ensuring they understand the precise placement of decimal points to achieve accurate results. Each question offers multiple choices, challenging students to identify the correct sum and correct interpretation of decimal positions. This exercise helps to solidify understanding of decimal place values through practical application.more
This math topic focuses on converting decimals from their expanded word forms into their standard numerical forms. It explores the concept of place values, specifically dealing with decimals to the thousandths place. Each question presents a combination of decimal place values in word form and asks to assemble them into a complete decimal number. The problems are designed to enhance understanding of how different decimal places (like tenths, hundredths, and thousandths) contribute to the value of the whole number.more
This math topic focuses on comparing decimal numbers to the hundredths place. Students are expected to use the correct equality symbols: less than (<), greater than (>), or equals (=). This skill is nested within a larger unit on place value and rounding, specifically targeting understanding up to the thousandths place. The problems provide pairs of decimal numbers which students must evaluate to determine the correct relational operator, enhancing their understanding of decimal values and their relationships.more
Ordering 3 Integers (ascending) (Level 4)
This math topic focuses on practicing the skill of ordering three integers in ascending order. It is a part of a larger unit on place value and rounding, extending to millions and thousandths. Each problem lists a set of three integers, and the objective is to arrange them from lowest to highest. Multiple choice answers are provided for each problem, which tests the student's understanding of numerical order in relation to integer values.more
This math topic focuses on converting numbers from expanded form expressed in words to their standard numerical form. It involves understanding and practicing place value concepts, including identifying the positions such as hundreds, thousands, and millions. Each problem presents a challenge to configure a six-digit number from a combination of verbal descriptions of place values. Multiple choice answers are provided for each constructed number scenario, enabling practice in accurately compiling the numerical values based on the described place values. This set of problems is part of a broader unit on place value and rounding, covering values up to millions and thousandths.more
This math topic focuses on converting numbers from expanded form to normal form, specifically dealing with place values up to millions and thousandths. It requires students to practice building six-digit numbers by adding components like hundreds, thousands, and larger units represented in expanded form, into a consolidated normal numeral form. The activity involves a set of multiple-choice questions where learners select the correct standard form number that represents the given sum of the expanded parts. This skill is essential for understanding the base-10 number system and enhancing number sense.more
This math topic focuses on understanding and manipulating decimal place values, particularly identifying missing decimal values to complete equations correctly. The problems involve adding multiple decimals to form a precise four-digit decimal number. Each exercise requires recognizing the accurate placement and value of decimals, reinforcing skills in both decimal comprehension and addition. This set of problems is part of a larger unit about place value and rounding, extending to millions and thousandths.more
This math topic focuses on expanding four-digit decimal numbers into their word forms, targeting precision in expressing decimal values to the thousandths and ten-thousandths place. The problems require students to convert decimals such as 0.7409 or 1.0005 into a format that combines number place values (like tenths, hundredths, etc.) with their corresponding textual descriptions. Students utilize this conversion skill in a series of exercises designed to strengthen their understanding of decimal place values in a context that extends to millions and thousandths.more
This math topic focuses on converting numbers from expanded word form to standard numerical form. The problems involve constructing seven-digit numbers from components given in words, such as millions, thousands, and single digits. Each problem requires selecting the correct numeric representation from multiple choices provided. The topic is part of a broader curriculum on place value and rounding to millions and thousandths. This helps students understand the composition and value of large numbers through practical exercises.more
This math topic focuses on converting numbers from expanded form to standard (normal) form, specifically dealing with large numbers up to millions and thousandths. Students are asked to recognize the value of individual digits based on their place in a number, and then to combine these values to construct and identify the correct seven-digit number. Each problem provides partial sums (in millions, thousands, hundreds, etc.) that must be correctly added to form the final number. The exercises help to reinforce understanding of place value and the complexity of large numbers.more
This math topic involves solving problems about place values, specifically focusing on identifying missing numbers in sequences to complete 7-digit numbers. It explores place value understanding extending to millions and thousandths. The problems are structured to reinforce the concept of building large numbers through the correct alignment of digits according to their place value, including handling millions, thousands, hundreds, tens, and units, ensuring learners can consolidate and apply their knowledge effectively in various contexts.more
This math topic focuses on identifying the place value of digits in large numbers, ranging from units to millions. It includes exercises that ask students to determine the specific value of a given digit in various multi-digit numbers. Each question presents multiple numbers as potential answers, and the student must select the number where the specified digit has a stated value, such as "30,000" for the digit '3' or "100" for the digit '1'. This not only strengthens understanding of place values up to millions and thousandths but also enhances precision and attention to detail in handling large numbers.more
This math topic focuses on converting numbers from expanded form to their standard numeral form. The exercises are designed to strengthen understanding of place value up to the thousands and include hundredths. Each problem requires constructing a five-digit number by summing different place values given in the expanded form, and then selecting the correct standard form of the number from multiple choices provided.more
This math topic focuses on understanding place value with decimals by teaching how to convert expanded form of decimals into their normal numerical form. It specifically addresses building two-digit decimal numbers through the addition of tenths and hundredths. Part of a broader unit on place value and rounding, involving precision up to thousands and hundredths, this series of problems encourages mastery of decimal place value in a structured way, reinforcing the conversion between different forms of decimal representation.more