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 with practice on basic divisibility rules, where students learn to determine if one number is divisible by another. The unit explores these rules through various difficulty levels, progressively increasing the depth of understanding required. Initially, the focus is on simple yes/no applications of divisibility, using different conditions to familiarize students with the concept in straightforward scenarios. The difficulty level then advances with medium complexity tasks that require a deeper comprehension of divisibility rules. As the unit progresses, students delve into prime factorization—distinguishing whether a number is a factor of other numbers by analyzing their prime factors in both values and variables. This segment of the unit emphasizes understanding the factorization, identification of common factors, and engagement with the greatest common factor (GCF). It culminates with targeted practice on determining if integers are common factors of pairs of numbers, consolidating students' skills in prime factorization, and providing a foundational understanding of factor relations vital for higher-level mathematics.more
Skills you will learn include:
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This math topic centers on intermediate-level practice of divisibility rules. It starts with general scenarios, asking users to identify divisors that a number definitively meets given certain divisibility conditions. Questions progress from simple criteria like divisibility by 2 and 3 up to more complex conditions, such as when the last three digits of a number are divisible by 8. It essentially trains learners on recognizing how divisibility by multiple numbers influences the determination of other divisors, thereby sharpening number sense and foundational skills in number theory.more
This math topic focuses on practicing basic divisibility rules for numbers 2, 3, 9, 10, and 1. Each question tests the understanding of a specific rule that determines whether a given number is divisible by these divisors. Multiple choice answers are provided for each divisibility condition, requiring the learner to select the correct condition that applies to each divisor, such as recognizing even numbers for divisibility by 2 or sum of digits for divisibility by 3 and 9. The topic aims to strengthen foundational skills in recognizing patterns in numbers that meet specific divisibility criteria.more
This math topic focuses on practicing divisibility rules at an easy level, specifically evaluating whether given numbers can be divided by another number with a Yes/No answer. The problems include determining if numbers are divisible by divisors such as 1, 2, 3, and 10, engaging learners to apply basic divisibility rules. Each question presents a number and asks if it can be divided by another specified number, with responses provided as Yes or No options. This introduction to divisibility is suitable for beginners and helps build foundational understanding of the concept.more
This math topic focuses on practicing divisibility rules for medium difficulty level. It specifically targets three scenarios: determining conditions under which numbers are divisible by 4, 8, and 12. Each question provides several statements, and students must choose the correct divisibility condition. For instance, recognizing that a number is divisible by 4 if the last two digits form a number that's divisible by 4, or by 8 if the last three digits are divisible by 8, or by 12 if the number is divisible both by 4 and 3. These problems help to deepen understanding of divisibility rules in an engaging way.more
This math topic covers medium-level divisibility rules for specific numbers—8, 6, 12, and 4. Each question presents multiple conditions, and learners must identify the correct divisibility rule for given numbers, such as if the last three digits are divisible by 8 or if the number is divisible by both 2 and 3. This fosters a deeper understanding of number properties and enhances pattern recognition skills related to divisibility within basic arithmetic operations.more
This math topic focuses on practicing divisibility rules for the numbers 4, 12, 6, and 8, at a medium difficulty level. Each question provides multiple conditions and asks which one correctly indicates divisibility by these numbers. For example, choices include conditions such as "The last two digits are divisible by 4," or "Is divisible by both 2 and 3." This allows students to enhance their understanding of numeric properties that determine divisibility. more
Is Number a Factor - From Value as Factors (Level 2)
This math topic focuses on determining whether one number is a factor of another through prime factorization. It includes problems where students must compare the prime factorization of two numbers to see if the factors of the first number completely appear in the second. The problems typically format as "Is [first number] a factor of [second number]?" with a structured breakdown of each number’s prime factors. The topic is a part of broader units on factoring and finding the greatest common factor, enhancing students' understanding of number relationships and divisibility rules.more
Is Number a Factor - From Variable as Factors (Level 2)
This math topic focuses on prime factorization and determining whether one number is a factor of another. Each problem presents two numbers in prime factor form and poses the question of whether the first number is a factor of the second. The skills practiced here include identifying and working with prime factors, understanding multiple factors, and applying this knowledge to factorization problems within the broader context of factoring and finding the greatest common factor.more
Is Number a Factor - From Variable as Factors (Level 1)
This math topic focuses on understanding prime factorization and determining if one number is a factor of another using prime factors. It includes problems where students are given two numbers expressed in their prime factorized forms and need to decide if the first number is a factor of the second. Each problem presents expressions and asks if the variable representing a product of primes is a factor of another number. The skill practiced is crucial for understanding factoring and computing the greatest common factor.more
Is Number a Factor of Both - From Values as Factors (Level 2)
This math topic fosters understanding in prime factorization, factoring, and the utilization of greatest common factors. Students practice recognizing if a number is a factor of two other numbers via prime factorization represented in exponential form. The problems prompt students to determine whether a specific number can be a factor of two given numbers by examining their prime factorized forms and common factors. Each question also includes a binary choice (Yes or No) for the answers, guiding students to assess factorization results critically.more
Is Number a Factor of Both - From Variables as Factors (Level 2)
This math topic focuses on evaluating the divisibility of numbers by examining prime factorization. It combines the concepts of factoring and finding the greatest common factor (GCF) in practical scenarios. Each question lists two expressions involving products of prime factors and asks whether one expression is a factor of the other two given expressions. The problems help enhance understanding of prime factorization, examining common factors, and applying these skills in finding whether one number is a factor of others. This is essential for developing skills in higher mathematics, particularly in algebra and number theory.more
Is Integer a Factor of Both - From Values as Factors (Level 2)
This math topic focuses on prime factorization and explores whether specific integers are common factors of two given numbers. Each question presents the prime factorization of certain numbers and asks if a listed integer is a factor of both provided numbers. The integers and numbers are given in algebraic form, and the exercise helps strengthen understanding of factors, prime factorization, and the greatest common factor. This set of problems is suitable for those practicing factoring skills, specifically in identifying shared factors between numbers.more
This math topic focuses on practicing basic divisibility rules and involves determining the truth of statements given conditions about certain numbers (e.g., digits sum, divisibility, evenness, specific digit presence). These foundational exercises aim to establish a solid understanding of easy divisibility checks and logical reasoning with numbers. They explore properties like the sum of digits, evenness, and whether a number ends with a specific digit. The aim is for students to decide, based on divisibility rules, whether given statements about numbers are true or false.more
This math topic focuses on practicing the basic divisibility rules through a series of yes/no questions. Each problem presents a number and asks the learner to determine if it can be divided evenly by another specified number. This set of problems aims to help learners understand and apply simple divisibility tests to verify if one number is a divisor of another without performing the actual division. The problems in this topic are introductory and are intended to build foundational skills in recognizing divisibility patterns efficiently.more
This math topic focuses on the application of divisibility rules at a medium difficulty level. Specifically, learners are presented with various numbers and asked to determine if one number can be evenly divided by another (e.g., "Can 192 be divided by 12?"). Each question has two possible answers to choose from, either "Yes" or "No," based on divisibility criteria. The aim is to enhance fluency in recognizing which larger numbers are divisible by smaller numbers, fostering understanding of basic concepts in divisibility.more
This math topic focuses on practicing divisibility rules at a medium level, specifically testing whether certain dividends are divisible by given divisors, and requiring the student to answer with 'Yes' or 'No'. The problems are based on different divisors and dividends, enhancing the student's ability to apply basic divisibility rules to verify if one number can be evenly divided by another without a remainder. This set of problems is part of an introductory unit on divisibility rules, helping students to develop number sense and foundational skills in divisibility checks in mathematics.more
Is Integer a Factor of Both - From Values as Factors (Level 1)
This math topic focuses on the skills of prime factorization and evaluating if one integer is a factor of two other integers. The problems require identifying the factors of given numbers, represented in prime factorization, and determining whether a specific integer, also given in a factored form, is a common factor of both numbers. The exercises are structured to enhance understanding of factoring and the concept of the greatest common factor. Each problem presents two numbers with their prime factors listed and asks whether a given integer is a factor of both.more
This math topic focuses on practicing simple divisibility rules, specifically matching divisors to the conditions that determine their divisibility. It covers divisibility by 1, 2, 3, and 9, asking students to identify the appropriate rule for each number, such as sums of digits or characteristics of the last digit(s). This is part of a broader introductory unit on divisibility rules. Each problem presents multiple answers, encouraging the understanding and application of these rules through example choices.more
This math topic focuses on practicing basic divisibility rules. The problems allow students to determine which numbers a given number is definitely divisible by, based on specific conditions. These conditions include the last digit of the number, whether the number is even, whether it's any integer, and the sum of its digits in relation to divisibility by 3 and 9. The various choices for answers help students apply different divisibility rules and strengthen their understanding of what makes a number divisible by another number.more
This math topic focuses on practicing divisibility rules at a medium difficulty level, specifically determining whether given numbers can be divided by another number without a remainder (yes or no). Each problem presents a different large number and asks if it is divisible by numbers such as 4, 6, 8, or 12. This is part of an introductory unit on divisibility rules, helping to deepen understanding of number properties and division.more
This topic practices medium-level divisibility rules, focusing on evaluating the divisible conditions of given numbers. Problems require students to determine whether a number is divisible by another based on specific rules, such as divisibility by 4, 3, 2, and 8. Answers are formatted in a yes/no style, allowing students to apply the divisibility rules to ascertain the truth of the statements regarding several numbers. Each question is a direct application of the rules to a new integer, reinforcing understanding through varied examples.more
Is Number a Factor - From Value as Factors (Level 1)
This math topic practices skills involving prime factorization and determining if one number is a factor of another using those factorizations. Problems include analyzing the prime factors of two different numbers and answering whether the first number is a factor of the second. For instance, given two numbers expressed as products of their prime factors, learners must decide if the first number divides the second without a remainder. This is an introductory level practice within a broader study on factoring and the greatest common factor.more
This math topic focuses on elementary divisibility rules, challenging learners to identify divisors of a number based on specific conditions. Critical thinking is engaged through five key questions where learners need to determine if numbers are divisible by various integers such as 2, 10, and 3, by analyzing given conditions such as evenness, sum of digits, or ending in zero. This exercise encourages familiarity with basic divisibility tests, improving learners’ ability to quickly recognize factors of numbers in broader mathematical contexts.more
Is Integer a Factor - From Value as Factors (Level 2)
This math topic focuses on determining whether one number is a factor of another through prime factorization, which is presented as part of a larger unit on factoring and finding the greatest common factor. These problems present two numbers in each question, along with the prime factors of those numbers, and ask whether the first number is a factor of the second. For example, one problem might express numbers like "42 = x times r times z" and "330 = 2 times 3 times 5 times 11," followed by a prompt asking if 42 is a factor of 330. The choices given are "Yes" or "No." Such exercises help in understanding and applying the concepts of factors, multiplication, and division within the framework of basic number theory.more
This math topic focuses on understanding and applying basic divisibility rules for numbers. The problems guide learners through identifying the conditions under which a number is divisible by 10, 2, 9, 3, and 1. For instance, learners are asked to determine what characteristic makes a number divisible by 10, such as its last digit being 0, or what sum of digits makes a number divisible by 9. The activity serves as an introduction to divisibility rules, facilitating learners' ability to recognize patterns in numbers and apply these rules to simplify computations and solve problems effectively.more
This topic focuses on basic divisibility rules, allowing students to practice confirming conditions for divisibility in given numbers. Problems include checking if a number ends in zero to determine divisibility by 10, if a number is even or odd to indicate divisibility by 2, and whether the sum of the digits of a number is divisible by 9 or 3. The answers are formatted as a binary choice between 'Yes' or 'No'. This allows learners to apply simple divisibility rules in a straightforward manner.more
Is Integer a Factor - From Value as Factors (Level 1)
This math topic focuses on the skills of prime factorization and determining if one integer is a factor of another using factorization. Students are presented with expressions showing prime factorizations of two numbers. They must then decide if the first number is a factor of the second. Examples include determining if 9 is a factor of 18, if 35 is a factor of 42, and other similar problems. The topic is designed to help learners understand and practice the concepts of factorization and greatest common factors.more
Is Number a Factor of Both - From Variables as Factors (Level 1)
This math topic practices the skill of determining whether one number is a factor of other numbers, using prime factorization. Each problem presents prime factorizations of multiple numbers and asks if a specific factor is common to two given numbers. The learner must understand how to break numbers into their prime factors and check commonality between factorized forms.more
This math topic focuses on practicing the application of divisibility rules to determine if given numbers meet specific conditions. Students are presented with a series of questions that ask whether certain divisibility conditions hold true for numbers such as 38, 60, 204, and 28. For example, they must determine whether the last two digits of a number are divisible by 4, or if a number is divisible by both 2 and 3. Each question allows for a binary choice of "Yes" or "No" to indicate whether the divisibility statement provided is correct.more
This math topic focuses on enhancing skills in applying divisibility rules at an intermediate level. The problems are designed to deduce the divisibility of numbers based on given conditions, such as the divisibility of the last two or three digits, or divisibility by multiple numbers. The learner is required to identify which divisors a number is definitely divisible by when certain conditions are met. The specific divisors tested include common factors like 2, 3, 4, 6, 8, and 12. This topic is part of a broader unit on introductory divisibility rules.more
This math topic focuses on intermediate-level divisibility rules. It presents problems where students must determine the divisors of numbers based on specific conditions. For example, one problem asks which divisor a number is certainly divisible by if its last three digits are divisible by 8. Other conditions include divisibility by combinations of numbers, such as both 2 and 3, and divisibility based on the last digits of numbers. Students are provided with multiple-choice answers to select the correct divisor. This topic is part of a broader unit introducing divisibility rules.more
This math topic focuses on practicing medium-level divisibility rules, evaluating whether given numbers comply with specific divisibility conditions. Students will determine if numbers meet criteria such as: being divisible by specific numbers (e.g., 4, 3, 2, 8), or if the last two or three digits of a number are divisible by a certain number. Each question provides a "Yes" or "No" answer choice, helping reinforce the understanding of basic divisibility tests through practical examples.more
Is Number a Factor of Both - From Values as Factors (Level 1)
This math topic focuses on practicing prime factorization for determining whether a given number is a common factor of two other numbers. Each problem presents the prime factors of three numbers and asks if one of these is a factor of the other two. This is aimed at developing skills in factoring numbers and understanding the greatest common factor, which are fundamental concepts in arithmetic and number theory. The problems require students to analyze the prime factorization for common factors and deduce divisibility, aiding in the comprehension of factor relationships and multiplication.more
This math topic focuses on practicing basic divisibility rules. The questions are designed to help understand which divisors a number will definitely be divisible by, given specific conditions. Problems include identifying divisors for even numbers, numbers whose digits sum to a multiple of 3 or 9, and numbers that end in zero. The aim is to reinforce the understanding of these basic divisibility conditions, laying a foundation for more complex number theory concepts.more
This math topic focuses on practicing basic divisibility rules, helpful when determining the conditions under which whole numbers can be divided by certain integers without leaving a remainder. The problems include checking if sums of digits of numbers are divisible by 3 or 9, identifying if a number is even, and verifying if the last digit of a number is 0. The questions are structured as true/false and are aimed at developing foundational understanding of divisibility criteria for different numbers.more
This math topic focuses on practicing easy divisibility rules by determining whether certain numbers can be divided by specific divisors without remainders. Each question presents a number and asks if it can be evenly divided by another number, followed by answer choices "Yes" or "No". This simple decision-making problem format introduces students to basic concepts of divisibility, allowing them to apply these rules to various scenarios. The problems are part of an introduction unit to divisibility rules, essentially laying the foundation for understanding division in mathematics.more