Grade 10

66 Units, 168 Skills

Measurement - Units Advanced - Metric

Unit 1

Geometry - Cylinders - Intro

Unit 2

Percentages - Advanced

Unit 3

Cartesian Grid Geometry Logic - Practice

Unit 4

Squares and Square Roots - Advanced

Unit 5

Factoring and Lowest Common Multiple - Advanced

Unit 6

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

Unit 7

Geometry - Volume Logic with 3D Shapes - Intro

Unit 8

Negative Integers - Practice

Unit 9

Speed, Distance, and Time Logic Challenges - Intro

Unit 10

Factoring, Multiplication, Division, Fractions - Practice

Unit 11

Pythagorean Triples - Intro

Unit 12

Cartesian Grid Distance - Intro

Unit 13

Exponents - Power Law - Practice

Unit 14

Pythagorean Theorem with Decimals - Intro

Unit 15

Algebra Manipulating Variables - Practice

Unit 16

Exponents - Negative Bases and Exponents - Intro

Unit 17

Exponents - Fractional Bases and Exponents - Intro

Unit 18

Algebra Systems of Equations - Intro

Unit 19

Measurement - Units Large/Small Intro - Metric

Unit 20

Pythagoras - Practice

Unit 21

Factoring, Multiplication, Division, Fractions - Advanced

Unit 22

Slopes and Parallels - Intro

Unit 23

Measurement Conversion and Map Scale - Intro - Metric

Unit 24

Probability - Set Operations - Intro

Unit 25

Patterns and Sums - Intro

Unit 26

Slopes and Perpendiculars - Intro

Unit 27

Geometry - Circle Area, Sectors and Donuts - Intro

Unit 28

Fraction Multiplication - Advanced

Unit 29

Measurement - Unit Conversion Practice - Metric

Unit 30

Pythagorean Theorem in 3D - Intro

Unit 31

Fraction Addition and Subtraction, Mixed - Advanced

Unit 32

Probability and Counting - Multiple Events - Intro

Unit 33

Ratios of Lengths - Practice

Unit 34

Radicals - Simplifying Intro

Unit 35

Fraction Division - Practice

Unit 36

Scientific Notation - Multiplication and Division - Practice

Unit 37

Geometry - Intermediate - Intro

Unit 38

Line Equations and Graphing - Intro

Unit 39

Probability and Statistics - Probability with Factorials Intro

Unit 40

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

Unit 41

Exponents - Negative Bases and Exponents - Practice

Unit 42

Exponents - Fractional Bases and Exponents - Practice

Unit 43

Algebra Manipulating Variables - Advanced

Unit 44

Line Equations and Graphing - Practice

Unit 45

Inscribed Squares and Circles - Intro

Unit 46

Trigonometry Foundations

Unit 47

Slopes and Parallels - Practice

Unit 48

Probability and Counting - Multiple Events - Practice

Unit 49

Scientific Notation - Multiplication and Division - Advanced

Unit 50

Measurement - Unit Conversion Advanced - Metric

Unit 51

Probability and Statistics - Permutations and Combinations Calculating - Intro

Unit 52

Measurement - Units Large/Small Practice - Metric

Unit 53

Slopes and Perpendiculars - Practice

Unit 54

Geometry - Intermediate - Practice

Unit 55

Patterns and Sums - Practice

Unit 56

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

Unit 57

Probability - Set Operations - Practice

Unit 58

Trigonometry Fundamentals - Intro

Unit 59

Linear Equation Intersections - Intro

Unit 60

Measurement Conversion and Map Scale - Practice - Metric

Unit 61

Fraction Division - Advanced

Unit 62

Polynomials and Quadratics - Intro

Unit 63

Scientific Notation Units - Intro

Unit 64

Radicals - Simplifying Practice

Unit 65

Probability and Statistics - Probability with Factorials Practice

Unit 66

Fraction Division - Advanced

Unit 62

This math unit initially introduces students to the concepts of fraction division, beginning with simple scenarios where learners are not required to simplify their answers. Gradually, the unit progresses to include more complex fractions such as improper fractions, mixed numbers, and whole numbers in various configurations, both dividing and being divided. As learners become more proficient, the exercises evolve from not simplifying results to demanding simplification and understanding more intricate relationships within fraction division. The unit covers a wide array of fraction division exercises that involve multiple mathematical forms, allowing students to practice and master the division of different types of numbers including whole by mixed, mixed by whole, and improper fractions. By the end of the unit, learners face complex problem sets involving simplification of results to their lowest terms and an expectation for thorough conceptual understanding and the ability to manipulate mixed and improper fractions effectively. Throughout the progression, there are varied opportunities to practice non-simplified and simplified answers, refining both calculation skills and deep comprehension of fraction operations.more

Skills you will learn include:

Foundational Units

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This math topic focuses on the division of improper fractions without simplifying the answers. It is a part of a broader unit on advanced fraction division. The problems presented involve dividing one improper fraction by another and choosing the correct product from multiple choices. Each question provides a different set of fractions to divide, helping to build skills in fraction division by requiring students to manipulate the numerators and denominators effectively without the need to simplify their final answers. This is designed to deepen understanding of fraction operations and multiplication of reciprocals in a division context.more

This math topic focuses on practicing the division of fractions without simplifying the results. It is part of an advanced series on fraction division and covers multiple problems designed to challenge the learner's ability to multiply numerators and denominators correctly. Each question presents a pair of fractions to be divided and multiple answer choices, encouraging mastery in handling fraction division in its unsimplified form.more

This math topic focuses on the division of whole numbers by mixed fractions, specifically aiming to enhance proficiency in converting mixed fractions to improper fractions, carrying out divisions, and simplifying the results. Each problem presents a division involving a whole number and a mixed fraction, requiring simplification of the fraction to determine the most precise answer. The learners are also provided with multiple choice answers to each question, reinforcing understanding and accuracy in fraction division, part of an advanced study on fraction operations.more

This math topic focuses on the division of whole numbers by mixed fractions and simplifying the results. It covers advanced fraction division exercises where learners divide integers by mixed numbers (combinations of whole numbers and fractions), requiring them to convert these mixed numbers into improper fractions, perform the division, and simplify the answers. Various exercises present the problems in a multiple-choice format with provided answer options, enhancing problem-solving skills related to fractions. This topic is part of a broader unit on advanced fraction division.more

This math topic focuses on practicing division of whole numbers by mixed numbers, specifically instructing learners to not simplify their answers. It falls under an advanced unit of fractional division. Each problem requires students to perform operations that involve dividing a whole number by a mixed fraction and to present the result as an unsimplified fraction. The challenges are diverse, enhancing the understanding of fraction division in different contexts without the need for simplification, thus deepening comprehension of raw fraction calculations and their relationships.more

This topic focuses on practicing the division of whole numbers by mixed fractions without simplifying the results. It includes multiple questions where students are provided with whole numbers that they need to divide by mixed fractions, presented in mathematical expression formats. Options for answers are also provided in various formats such as integers and fractions. The main skill reinforced is the division of whole numbers by mixed numbers, intending to achieve mastery in handling fractional division without the necessity of simplification.more

This math topic focuses on advanced fraction division, specifically dividing mixed fractions by whole numbers. It involves problems that require dividing and simplifying mixed fractions, presenting multiple choice answers for learners to select from. The context implies a deeper exploration of fraction operations, leaning heavily into transformation of mixed fractions for division, and requiring simplification of results to their lowest terms. Learners are likely challenged to reinforce their conceptual understanding and operational skills in handling fractions in a more complex arithmetic framework.more

This math topic is focused on the division of fractions, specifically mixing mixed numbers and whole numbers. It is an advanced exercise within a larger unit on fraction division. The topic helps strengthen the ability to perform and simplify fractional divisions through a series of problems, each with multiple-choice answers. Each question requires the participant to divide a given mixed number by a whole number and then simplify the fraction to its lowest terms. The problems vary in difficulty, aiming to improve understanding and proficiency in handling fraction division.more

This math topic focuses on advanced fraction division, specifically dividing mixed numbers by whole numbers without simplifying the resulting fractions. It caters to learners aiming to strengthen their understanding of fraction operations in a more complex context. The problems presented require dividing various set combinations of mixed and whole numbers, maintaining the answers in fractional form without simplification to ensure mastery of the division process itself.more

This math topic practices dividing fractional expressions, specifically focusing on the case where a mixed fraction is divided by a whole number, without simplifying the resulting fractions. The topic is an advanced fraction division exercise aimed to help understand and compute the division process without reducing the answers to their simplest forms.more

This math topic covers advanced fraction division where problems focus on dividing mixed fractions and simplifying the results. Each question involves a mathematical expression requiring division between two fractions, which may include whole numbers and mixed numbers. Students are tasked with solving these expressions and selecting correct answers from multiple options provided, promoting skills in fraction manipulation, division, and simplification. These problems help in reinforcing concepts and skills necessary for understanding and solving fraction division in more complex mathematical scenarios.more

This math topic focuses on advanced skills in dividing fractions, specifically handling mixed number divisions. Each problem involves dividing two mixed fractions and simplifying the results. Students are tested on their ability to accurately perform fraction division operations and to simplify their answers appropriately, skills which primarily involve converting mixed numbers to improper fractions, multiplying by the reciprocal of the divisor, and then reducing the resulting fraction. The problems are structured to enhance proficiency in handling more complex fractional calculations, which forms part of a broader unit on advanced fraction division techniques.more

This topic focuses on the division of fractions, specifically without simplifying the answers. It's aimed at practicing the operations on both proper and improper fractions, as well as mixed numbers, ensuring that students are able to handle a variety of numerical forms. The problems provided offer multiple choices for the results of each division expression, helping to reinforce the concept that multiple representation forms can denote the same value. This is an advanced level set of division problems designed to challenge and solidify students' understanding of fraction operations.more

This math topic focuses on practicing the division of mixed fractions without simplifying the results. It is categorized under advanced fraction division, utilizing problems where students divide fractions and mixed numbers but are instructed not to simplify their answers. Each question presents a division problem between mixed fractions or fractions, and provides multiple answers in fraction form. This reinforces understanding of fraction operations and tests the ability to handle complex fractional calculations without the final step of simplification.more

This math topic focuses on advanced fraction division skills, specifically dividing a whole number by a simple fraction and simplifying the results. It offers several problems where students divide whole numbers by fractions and are tasked with finding the simplified form of the result. Each question comes with multiple choice answers, providing immediate opportunities to check for understanding. This is a part of a broader unit on advanced fraction division, enhancing students' ability to handle fractions in more complex mathematical contexts.more

This math topic focuses on advanced fraction division, specifically dividing whole numbers by simple fractions. Each question requires students to divide and simplify expressions involving a whole number divided by a fractional value. The aim is to enhance students' skills in handling complex fraction operations and simplifying the results.more

This math topic focuses on the division of a whole number by a simple fraction without simplifying the results, at an advanced difficulty level. It includes multiple problems where students are asked to divide a whole number by a fractional value, with the answer given in fraction form. Each question provides several possible answers in non-simplified fractional form. This practice aims to strengthen students' understanding of fraction division by enforcing the concepts through repetition of similar types of calculations.more

This math topic, titled "Fraction Division As Fraction - Whole by Simple - Don't Simplify," is a part of an advanced fraction division unit. It focuses on dividing whole numbers by simple fractions without simplifying the results. For students, this offers practice in a key area of arithmetic involving fractions, reinforcing their skills in interpreting division problems where a whole number is divided by a simple fraction, resulting in either another simple fraction or an unsimplified fraction. Each question provides multiple choices, emphasizing the non-simplification of the final answers.more

This math topic focuses on the skills of dividing fractions by whole numbers and simplifying the results. It is part of an advanced unit on fraction division. Each problem requires the user to perform division on a fraction and a whole number, followed by simplifying the fraction form of the answer. The questions provide multiple choices as potential correct solutions, offering a practical approach to mastering fraction division. This sets a foundation for understanding more complex fraction operations.more

This math topic focuses on the division of improper fractions by whole numbers. The problems involve dividing an improper fraction by a whole number and then simplifying the result. Each problem presents multiple answer choices, requiring students to perform calculations and select the correct simplified form. The exercises aim to enhance students' understanding of fraction division and their ability to simplify the answers effectively. This forms part of a broader unit on practicing fraction division.more

This math topic focuses on practicing the division of fractions by whole numbers and simplifying the results. It is a part of an advanced unit on fraction division. Each problem provides a fraction and asks learners to divide it by a whole number, then simplify the fraction to its lowest terms. The problems start with basic examples and progressively include more complex fractions, helping learners develop a thorough understanding and competency in handling fraction division. This topic is designed to enhance learners’ skills in fraction manipulation and simplification.more

This math topic focuses on the division of fractions by whole numbers without simplification. Students are required to perform calculations where a simple fraction is divided by a whole number, and the resultant fraction is left unsimplified. This advanced level of fraction division trains proficiency in handling and manipulating fractions and whole numbers, reinforcing students' arithmetic skills with fractions.more

This math topic is focused on dividing simple fractions by whole numbers without simplifying the results. It forms part of a broader, advanced unit on fraction division. Each question provides a specific fraction division problem and multiple possible answers, enhancing understanding of how to handle fractions in division operations and helping reinforce the skill of leaving answers unsimplified. This topic is well-suited for students looking to deepen their comprehension in manipulating fractional values through division by whole numbers.more

This math topic focuses on the skill of dividing whole numbers by improper fractions and simplifying the results. It specifically addresses scenarios where a whole number is divided by an improper fraction (a fraction where the numerator is greater than the denominator), requiring students to perform fraction division and then simplify the outcome to its lowest form. Through a series of questions, learners are asked to solve these fraction division problems, reinforcing their understanding of both fraction manipulation and simplification techniques within the context of advanced fractional operations.more

This math topic focuses on the division of improper fractions without simplifying the results. It presents a series of division problems involving improper fractions, where students are instructed not to simplify their answers. Each question offers multiple possible answers, depicted visually using formulas. This topic falls under an introductory unit on fraction division. It guides students through understanding the process of dividing fractions by multiplying by the reciprocal, reinforcing their skills in handling fractions without the additional step of simplifying them.more

This math topic practices advanced skills in dividing improper fractions. Students are given various improper fraction division problems, which they must solve and simplify. These exercises are designed to enhance students' understanding of fraction manipulation and simplification, important skills in handling complex mathematical operations involving fractions. The problems escalate in complexity, encouraging mastery through practice and offering multiple possible answers to help assess the learners' grasp of the concept.more

This math topic focuses on the division of mixed numbers by whole numbers and simplification of the results. It is structured to enhance understanding and proficiency in dividing fractions, part of an introductory unit on fraction division. Each question requires students to correctly divide a given fraction or mixed number by a whole number and simplify their answers to the lowest terms. This set of problems helps build foundational skills necessary for more advanced operations involving fractions.more

This math topic focuses on advanced fraction division, specifically dividing whole numbers by mixed fractions without simplifying the results. It covers a series of problems where students are given expressions to solve, followed by multiple choice answers. The practice helps enhance understanding of fraction division in more complex scenarios, reinforcing skills in fraction manipulations and division without leading to simplified answers, thus deepening students' grasp of raw calculations in fraction operations.more

This math topic focuses on the division of fractions, specifically instructing not to simplify the resultant fractions after performing the division. It provides practice with dividing various fractional expressions, as illustrated in several questions, where each division problem is presented in a fraction over fraction format. The problems include multiplying by reciprocal fractions, as seen in typical division operations involving fractions. The topic is part of a broader unit on advanced fraction division, challenging the understanding and manipulation of fractional numbers in division without the final simplification step.more

This math topic focuses on advanced practices of fraction division with mixed questions. Each problem requires dividing two given fractions and simplifying the results. The problems advance in difficulty and are structured to aid in understanding and mastering the skills of dividing fractions and simplifying answers efficiently. This is all part of a broader unit on advanced fraction division, designed to enhance numerical reasoning and problem-solving skills related to fractional values.more

This math topic focuses on advanced fraction division, specifically involving the division of whole numbers by improper fractions. It aims to strengthen skills in fraction division, simplifying expressions to their lowest terms, and understanding the relationship between whole numbers and improper fractions. The problems require converting mixed fractions to improper fractions for division and give multiple-choice answers to each question for students to demonstrate mastery of simplifying complex fractional divisions.more

This math topic focuses on the skills of dividing whole numbers by improper fractions, without simplifying the answers. It constitutes a more advanced segment of fraction division exercises. The problems challenge students to perform the division operation between a whole number and an improper fraction, present multiple answer choices, and do not require simplification of the resultant fraction, emphasizing raw computational skills. This set of problems is part of a broader unit on advanced fraction division.more

This math topic focuses on dividing fractions, specifically a whole number by an improper fraction. Students are instructed not to simplify their answers. The problems are part of an advanced series on fraction division. By practicing these problems, students enhance their understanding of fraction division without simplification, preparing them for more complex fraction operations in advanced settings.more

This math topic practices basic fraction division. It involves dividing two fractions and simplifying the results to find an answer. The problems are structured to challenge students' understanding of how to handle fractions in division operations, enhancing their competency in managing numerical relationships and simplifying fractional results. Each question provides multiple answer choices that require the student to do calculations and pick the correct simplified fraction. This set of exercises is designed for beginners as an introduction to fraction division.more

This topic focuses on practicing the division of mixed fractions by whole numbers without simplifying the results. It specifically targets understanding and solving division problems involving fractions to promote fluency in managing basic fractional arithmetic. These problems do not require the simplification of fractions post-division, allowing learners to focus primarily on the division process itself. This is part of an introductory unit on fraction division, aiming to build foundational skills in handling more complex fractional operations in future learning.more

This math topic focuses on dividing mixed number fractions by whole numbers and simplifying the results. It is part of an advanced series on fraction division. Each problem provides a division expression involving a fraction and a whole number, and multiple choice answers are given for students to select the simplified result. The topic enhances understanding of fraction manipulation, division processes, and simplification skills in a higher-level fraction division context.more

This math topic focuses on the skill of dividing whole numbers by mixed fractions. It is designed to enhance understanding and proficiency in fraction division as an introductory concept. Each problem tasks the learner with dividing a whole number by a mixed fraction and simplifying the result to its lowest terms. The problems gradually progress in difficulty and provide multiple answer choices to foster problem-solving abilities and ensure mastery of the concept.more

This math topic focuses on the division of fractions without simplifying the results. It's tailored for advanced learners and presents various exercises that involve dividing mixed fractions. Participants are instructed to perform the division operations but are not required to simplify their answers. This allows learners to focus on the division process itself, while handling mixed number inputs and understanding the raw outputs before simplification. Each problem comes with multiple answers in fraction form, providing a comprehensive practice on fraction division skills.more

This math topic focuses on the basic operation of dividing fractions, specifically without simplifying the results. It is designed for learners to practice straightforward fraction division exercises as part of an introductory unit on fraction division. Each math problem involves a division of two fractions, and multiple choices are provided for the answers, which are also in fractional form. The purpose of these exercises is to help learners understand and execute the process of fraction division accurately while leaving the results in their unsimplified forms.more

This math topic focuses on the division of fractions, aiming to help students understand and practice how to divide different fractions and simplify their answers. Each problem presents two fractions and asks learners to find and simplify the result of their division. Students are provided with multiple answer choices, rather than requiring them to produce the results independently. The overall objective is to strengthen foundational skills in fraction division as a standalone task or as part of an advanced unit on fraction operations.more

This math topic focuses on the division of improper fractions, which involves tasks that require dividing one fraction by another and simplifying the result. It practices converting division problems into multiplication by the reciprocal, then performing the multiplication and simplification of the resulting fraction to find the final answer. This set of problems is a part of a broader introduction to the concepts of fraction division. Each question provides multiple answers, from which the correct simplified fraction must be identified. This helps reinforce a structured approach to handling fractions in division operations.more

This math topic focuses on advanced fraction division, specifically involving mixed numbers divided by whole numbers without simplifying the results. It encompasses multiple practice questions where learners are required to perform division operations between fractions and integers, and select the correct unsimplified result from multiple choices provided. This topic is designed to enhance understanding and manipulation of fractions in division without the immediate need to simplify the outcomes, facilitating deeper comprehension of fraction operations.more

This math topic focuses on the division of whole numbers by mixed fractions without simplifying the results. It is an introductory level exercise aimed at practicing the fundamental concepts of fraction division. The topic presents a series of questions where students are required to perform division operations between whole numbers and mixed fractions, but they are instructed not to simplify their answers, providing raw results directly from the calculations. This exercise helps in building a foundational understanding of fraction operations, particularly division.more

This math topic focuses on dividing whole numbers by mixed fractions and simplifying the results. It is designed for advanced learners looking to deepen their understanding of fraction division. The problems include various whole numbers divided by mixed fractions, with answers presented in multiple choice format for the learners to compare and select the correct simplified result. This topic aims to enhance skills related to fraction operations and the simplification process within the broader unit on advanced fraction division.more

This math topic involves practicing fractional division with mixed complexity. Each question requires dividing two fractions and simplifying the results. The problems escalate in difficulty across various examples, involving both proper and improper fractions, and including calculations that result in both proper and improper fractions as answers. The series of questions are part of an advanced unit on fraction division, aiming to enhance understanding and expedite proficiency in managing more intricate fractional calculations.more