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

Negative Integers - Practice

Unit 9

This math unit begins by introducing students to negative integers on a number line, starting with identifying and labeling positions and then progressing to using the number line for addition and subtraction of negative integers. As the unit advances, foundational skills in arithmetic operations with negative integers, such as multiplication and division, are developed. The exercises become more complex by requiring multiple operations with single and paired negative integers to solidify understanding and application of these concepts. The latter half of the unit shifts focus towards algebraic functions, starting with basic substitution of variables in simple and fractional terms involving negative integers. Students practice evaluating algebraic expressions by substituting specific integer values, including negatives, into equations and computing the results. The complexity increases as they deal with fractional terms, algebraic expressions involving power operations, and distributive properties to simplify expressions with bracketed terms and negative integers. This culminates in a comprehensive understanding of handling negative numbers within arithmetic and algebraic contexts.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 Negative Integers - Practice.

This math topic focuses on understanding negative integers on a number line and estimating the position of a given point. The problems require observing unlabelled, tick-less number lines with a marked dot, and selecting the integer value closest to the dot’s position from a set of options, which include both negative and positive integers. The exercise is designed to help develop skills in approximating and identifying the values of points on a number line, particularly within the context of negative numbers.more

This math topic covers the skill of multiplying negative integers. Each problem presents an equation involving the multiplication of an integer with a negative integer. Students are required to calculate the product and select the correct answer from multiple choices offered. The questions are tailored for practice at an introductory level to negative integers, enhancing understanding of how multiplication operates with negative and positive integers in combination.more

This math topic focuses on practicing negative integer multiplication, specifically involving solving equations with negative integers multiplying positive integers. Students will apply their understanding of multiplication rules concerning negative numbers to compute the products of various pairs of integers. Each problem presents multiple-choice answers, helping reinforce skills through instant feedback mechanisms, enabling mastery in manipulating negative integers in multiplication scenarios.more

This math topic focuses on practicing division involving negative integers. It is designed to enhance understanding of how to divide positive and negative numbers, and to determine the correct sign of the result, based on the signs of the numbers involved. Each question presents a division problem featuring a combination of negative and positive integers, with multiple choice answers provided for students to select the correct result. This is a part of a broader introduction to handling negative integers in arithmetic operations.more

This math topic focuses on practicing the division of negative integers. It involves solving equations where both the dividend and the divisor are negative integers, leading to positive results due to the properties of integer division. The equations are presented as fill-in-the-blank questions with multiple answer choices provided, which requires identifying the correct quotient from the given options. This practice is part of an introductory unit on negative integers, enhancing understanding of how division rules apply when dealing with negative numbers.more

This math topic focuses on practicing multiplication and division of negative integers. It includes exercises that require solving equations involving one or two negative numbers, with multiple-choice answers provided for each question. The exercises range from basic multiplications such as 6 multiplied by -11, down to divisions like 72 divided by -8 and simpler expressions such as -4 divided by -4. This is aimed at enhancing understanding of how negative numbers interact during multiplication and division processes.more

This math topic focuses on practicing the division of negative integers. It involves solving equations where both the dividend and divisor are integers, and the quotient needs to be determined from given options. Each problem tests the understanding of the rules governing the division of negative numbers, aiming to reinforce the skill of calculating the correct sign and value of the quotient. The activity is part of a broader unit on negative integers, providing multiple choice questions to strengthen the conceptual grasp of negative integer operations.more

This math topic focuses on mastering negative integer multiplication and division, suitable for an introduction level. It includes problems where students must calculate the result of multiplying or dividing negative integers, presenting these operations both with single and paired negative numbers to familiarize learners with different scenarios. Multiple-choice answers are provided for each question, encouraging critical thinking as students must select the correct outcome among several possibilities.more

This math topic focuses on practicing multiplication and division involving negative integers. It tests understanding and skills in solving equations with negative numbers, evaluating students through various problems that apply real-life scenarios. This set of problems includes exercises such as dividing and multiplying negative numbers by positive numbers, ensuring learners can accurately compute results that involve negative results and check against multiple choice answers. This is an advanced practice, level 3, emphasizing thorough comprehension of negative integer operations.more

Variable Substitution to Equation - Simple Terms (Level 2)

This math topic focuses on substituting values for variables in algebraic expressions and evaluating the resulting expressions. The problems involve basic arithmetic operations (addition, subtraction, multiplication) with an emphasis on handling negative integers. Each question presents an algebraic equation with variables. Learners substitute given numerical values into these variables and choose the correct answer from multiple options that showcase various possible outcomes of the calculations. The theme of using algebra to understand the impact of variable changes and the correct manipulation of terms and constants is consistent throughout the material.more

This math topic focuses on the subtraction of negative integers using a number line. It includes practicing translations from a subtraction equation to visual number line movements. The exercises prompt students to identify which number line corresponds to given subtraction problems involving negative numbers. Examples in this topic vary, covering different cases of subtracting negatives as well as subtracting from positives, enhancing students' understanding of integer operations visually.more

This topic focuses on practicing the subtraction of negative integers using number lines. The skills honed include interpreting number line movements to form subtraction equations, especially involving negative values. Displayed as images and LaTeX expressions, the problems challenge learners to identify the correct subtraction equation corresponding to each visual representation, enhancing their understanding of operations with negative integers within a basic introductory context.more

These problems focus on practicing subtraction involving negative integers using a number line. Each question presents a subtraction statement with negative numbers, and students are required to determine the resulting value. The exercises help deepen understanding of how negative numbers interact with each other and how values shift on the number line during subtraction. The questions provide multiple-choice answers, enabling learners to select the correct outcome of each subtraction scenario, reinforcing the rules of adding and subtracting negative integers.more

This math topic focuses on understanding the addition of negative integers using number lines. Students are presented with equations involving both negative and positive integers and are asked to select the number line that accurately represents each equation. The equations vary in complexity, involving the addition of positive numbers to negative numbers and vice versa, helping students visualize and reinforce the concept of integer addition on a number line. This is part of an introductory unit on negative integers.more

This math topic focuses on understanding and practicing the addition of negative integers using number lines. Each question involves identifying the correct addition equation based on a visual representation on a number line. This is an introductory level topic aimed at improving students' skills in handling and visualizing negative numbers through addition equations, providing multiple-choice answers for each problem where students must discern the correct equation that matches the depiction on the number line.more

This math topic focuses on practicing the addition of negative integers using a number line. Students are given images of number lines with marked movements that indicate addition problems involving negative and sometimes positive integers. The task is to identify the end point of the addition on the number line. This includes various problems where both numbers are negative, or one is positive and the other is negative, helping to enhance understanding of negative numbers and integer addition.more

This math topic focuses on identifying positions of labeled points on a number line that includes negative integers. The exercises require students to match the given integers to their corresponding positions marked by dots on the number line. The integers in question range from negative values, zero, to positive values. Each question provides multiple choice answers to reinforce understanding of number line concepts and negative and positive integers. This topic is an introductory level to negative integers and is a practical application for students getting familiar with the concept of number lines.more

This math topic focuses on the practice of multiplying negative integers, introducing foundational skills in dealing with negative numbers. The problems range from basic single-digit negative times positive integer equations to more involved negative times negative integer equations. Each problem encourages learners to understand and calculate the product of integers involving negative values, offering multiple choice answers to allow learners to test and validate their understanding of the multiplication of negative integers.more

Variable Substitution to Equation - Fractional Terms (Level 2)

This math topic involves solving algebraic equations with variable substitution and deals primarily with fractional terms from equations. The exercises focus on substituting variables with specific integer values, and calculating the resulting expressions which sometimes include negative integers. Each question presents an algebraic equation in fraction form and asks the student to substitute given values for variables and choose the correct resultant expression from multiple options, examining their understanding in applying algebraic operations with fractions and negative integers.more

Variable Substitution to Equation - Simple Terms (Negatives) (Level 1)

This math topic primarily focuses on substituting negative integer values into algebraic expressions involving simple arithmetic operations such as addition, subtraction, multiplication, and exponentiation. It targets the ability to manipulate algebraic functions by evaluating expressions when the variables are replaced with specific negative values. Questions test the students' understanding of how to correctly apply arithmetic rules involving negatives across a range of linear equations. This helps in building computational fluency and the mastery of negative integers within algebraic contexts.more

Variable Substitution to Equation - Bracketed Terms (Level 2)

This math topic focuses on practicing the skill of variable substitution into algebraic expressions with bracketed terms, as a part of broader units on negative integers. Learners are given algebraic expressions with variables, and they must substitute provided specific integer values for these variables to simplify the expression. The topics predominantly involve calculating with negative integers, understanding order of operations, and combining like terms. Exercises present various solutions for each problem, where learners are likely expected to identify the correct simplified expression. This helps in enhancing algebraic manipulation skills and understanding expressions' behavior with integers.more

Variable Substitution to Equation - Simple Terms (Negatives) (Level 2)

This math topic focuses on substituting variables into algebraic functions involving negative integers and simplifying the results. The problems provide practice in evaluating expressions based on specific values assigned to variables, which are mostly negative. Each question presents a different algebraic expression, and students must apply the substitutions to determine the resulting expression from multiple choices. The equations mostly involve basic arithmetic operations such as addition, subtraction, and multiplication, testing understanding of how operations involving negatives work, as well as standard power operations and their influence on sign changes.more

Variable Substitution to Equation - Fractional Terms (Negatives) (Level 1)

This math topic focuses on practicing algebraic functions through variable substitution in equations with fractional and negative terms. The questions are structured to enhance understanding of how to manipulate algebraic expressions when specific values are substituted for the variables. Each problem presents an equation followed by multiple choices, requiring the solver to substitute negative or fractional values for variables like \( x, y, z, m, c, b \), etc., and simplify the expression to find the correct answer. This practice emphasizes handling negative integers and understanding the effects of arithmetic operations on them.more

Variable Substitution to Equation - Fractional Terms (Negatives) (Level 2)

This math topic focuses on substituting variables into algebraic expressions involving fractional and negative terms. It is part of a unit on negative integers, emphasizing equation manipulation with negative numbers and fractions. Each question presents a fraction containing variables, where students substitute given numbers for these variables to simplify the expression. The questions test the student's ability to apply basic arithmetic operations on fractions including addition, subtraction, multiplication, and understanding of powers, enhancing their skills in algebraic manipulation and integer properties.more

The math topic focuses on the practice of algebraic function variable substitution. Specifically, it emphasizes the substitution of variables in the form of simple terms within algebraic expressions. The exercises involve determining the values of algebraic expressions given specific values for variables, which are denoted as r, m, y, p, x, b, and n. This topic lies within a broader unit studying the practice of negative integers.more

Variable Substitution to Equation - Bracketed Terms (Negatives) (Level 1)

This math topic focuses on substituting values into algebraic functions that include bracketed terms and negative integers. Students practice evaluating expressions by replacing variables with given negative values, with equations involving operations like multiplication and addition inside brackets. The problems challenge students to accurately apply the rules of arithmetic operations with negatives, enhancing their skills in handling complex algebraic manipulations. more

Variable Substitution to Equation - Bracketed Terms (Negatives) (Level 2)

This math topic focuses on practicing algebraic functions involving variable substitution into equations with negative integers and bracketed terms. Students solve expressions where specific values are substituted for variables, then calculate and simplify the equations. The equations often feature multiplication of integers, both positive and negative, and require attention to the rules of negative numbers within algebraic operations. Through multiple questions with multiple-choice answers, learners apply and enhance their understanding of handling negatives and algebraic simplification to compute correct outcomes from the given expressions.more

Fractional Terms (Level 2)

This math topic involves practicing Algebraic Function Variable Substitution with Fractional Terms, as part of a broader unit on Negative Integers. The focus is on evaluating various algebraic equations that involve substituting variables such as r, p, x, y, m, b, c, n, z, and d with specific values. This topic provides a variety of problems which require evaluating resulting expressions as fraction values. It also offers an online learning link for Negative Integers practice.more

Simple Terms (Negatives) (Level 1)

This math topic involves practicing algebraic function variable substitution with negatives, specifically replacing variables with negative integers in simple algebraic expressions. Each question displays an algebraic expression (e.g., \(5r\), \(-4y\), \(4p\)), and students are tasked with substituting specific negative values for the variables and determining the resultant value. Multiple choice answers are provided for each substitution problem. The focus is on manipulating and solving simple algebraic terms that include negative integers, enhancing skills in evaluating expressions with negative values.more

This math topic centers around Algebraic Function Variable Substitution, specifically dealing with Bracketed Terms. It makes part of a broader unit on practicing with Negative Integers. The topic includes questions asking for the value of algebraic equations when specific variables are substituted with given integers. The equations involve operations between variables and integers within brackets, multiplied by an outside integer. The practice provides multiple answers for each problem for selection.more

Simple Terms (Negatives) (Level 2)

This math topic focuses on algebraic function variable substitution with expressions involving simple terms and negative integers. Students practice substituting specific integer values, both positive and negative, into algebraic expressions to evaluate their results. Each question provides a different equation, where specific values for the variables are designated, and students need to compute and select the correct resultant value from multiple options. The primary skills honed include handling negative numbers, performing basic algebraic operations, and evaluating expressions accurately under given conditions.more

Fractional Terms (Negatives) (Level 1)

This math topic involves practicing algebraic function variable substitution with fractional terms that incorporate negative integers. Students are given algebraic expressions and must substitute the values of the variables provided. Each question requires the student to correctly evaluate the expressions after substituting negative values. The topic is designed to enhance understanding of manipulating fractions and negatives in algebraic contexts. Each exercise is presented with multiple choice answers, reinforcing calculation accuracy and reinforcing conceptual understanding of algebraic operations with negative integers.more

Fractional Terms (Negatives) (Level 2)

This math topic focuses on practicing algebraic function variable substitutions with fractional terms that involve negative integers. It includes multiple problems that require calculating the value of algebraic expressions when given specific negative and non-negative values for the variables involved. Each problem presents a formula and asks for the solution using substituted values. The expressions are fractionally formatted and involve addition, subtraction, and division operations predominantly. The topic is ideal for reinforcing understanding of handling negatives in algebraic contexts and manipulating expressions with multiple variables.more

Bracketed Terms (Negatives) (Level 1)

This math topic focuses on practicing algebraic function variable substitution with negative integers and bracketed terms. Students are required to solve problems by substituting given values into algebraic expressions, such as \( -4(4c + 3z) \) and calculating the result. The topic enhances skills in handling algebraic equations involving negative numbers and applying distributive properties for simplification. Each problem presents multiple-choice answers, reinforcing concept retention and critical thinking regarding negative values in algebraic contexts, making it part of a broader unit on negative integers.more

This topic focuses on identifying positions of integers, both positive and negative, on a number line. It helps learners approximate and select the location of specific integers when they are represented as dots on an unlabelled number line. The problems range from identifying places close to zero to locating spots near negative and positive integers like -8, -7, -5, 0, 1, 4, and 8. Each question provides multiple choice answers, enhancing the learner's ability to estimate and visually interpret numeric positions on number lines. This exercise is part of an introductory unit on negative integers.more

Bracketed Terms (Negatives) (Level 2)

This math topic focuses on algebraic function variable substitution, specifically dealing with bracketed terms that include negatives. It involves substituting given values for variables in algebraic expressions and then simplifying them. The skill practiced here is critical for understanding how to handle negative integers in algebraic contexts. Each question presents a different algebraic equation with specific values for the variables, asking students to find the result after properly substituting and performing the necessary arithmetic operations. This includes multiplying the substituted values and applying the correct arithmetic rules for dealing with negatives.more

This topic focuses on understanding and interpreting negative integers on a number line. It involves identifying the position of specific dots plotted along the number line, where the questions specify points that may include zero, negative, and positive integer positions. The task requires choosing the correct labeled dot that corresponds with instructions given in each question, such as determining which dot is at 0, 8, -10, 5, -1, and -4. This is an introductory exercise to negative integers, enhancing familiarity with visually recognizing and locating points on a number line.more