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

Exponents - Intro

Unit 5

This math unit begins with an introduction to exponents, using visual aids to help students understand and represent numbers in exponent form, like squares and cubes, up to the power of three. Initially, exercises focus on converting images to exponent expressions and understanding the basic notion of exponents through simple squaring and cubing. As students progress, they engage in recognizing and converting exponent expressions into standard or expanded numerical form to understand repeated multiplication concepts clearly. The latter part of the unit advances into solving direct exponent calculations, involving bracketed expressions that require adherence to the order of operations. Additionally, this progression leads to solving more complex problems where students calculate the powers directly, handling various base numbers and powers. The culmination of learning is evident as students tackle square equations, enhancing their ability to solve quadratic equations by finding variable values, solidifying a deeper comprehension and application of exponent rules within mathematical expressions.more

Skills you will learn include:

Foundational Units
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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 Exponents - Intro.

This math topic involves practicing the concept of exponents, specifically focusing on expressing the area of squares using exponents. The problems require finding the expression that correctly represents the number of blocks in squares of various sizes, using only the dimension and squaring that number (e.g., for a 9x9 square, the expression is 9 to the power of 2). The topic is suitable for beginners as it introduces exponents through visually represented and basic squares-only problems, enhancing understanding of how exponents can represent multiplication of the same number. more

This math topic focuses on the introduction to exponents, specifically visualizing the concept of powers up to three. It involves matching exponent expressions to corresponding pictorial representations to deepen understanding of how exponents represent repeated multiplication. There are a series of problems, each asking to identify the correct visualization of exponent expressions like "2 to the power of 3" or "9 to the power of 3." This helps build foundational skills in interpreting and working with exponents visually, suitable for learners beginning to explore power expressions.more

This math topic focuses on introducing the concept of exponents, particularly emphasizing the recognition and description of squared numbers. Students are presented with exponential expressions where they need to identify and describe numbers raised to the power of two, such as correctly identifying terms like "12 squared" or "9 squared" from options that also include cubic and base form descriptions of numbers. This is part of a broader introductory unit on exponents.more

The math topic focuses on solving square equations, specifically at a Level 2 difficulty. It's part of a broader study unit on exponents, designed to enhance skills through practice. Resources and further learning opportunities related to this topic are offered online at the Mobius Math Club's website, providing more in-depth material and support for learners seeking to excel in exponents and square equation solving.more

Calculation Bracketed Base (Level 1)

This math topic focuses on calculating expressions involving bracketed bases raised to powers (exponents) at an introductory level. It provides practice in evaluating arithmetic operations inside the brackets first and then applying the exponent. Each exercise presents an expression (e.g., (4 + 0)² or (8 - 3)²), and learners must calculate the expression inside the brackets before raising the result to the power indicated, reinforcing their understanding of order of operations and exponentiation.more

Calculation Bracketed Base Expanded (Level 2)

This math topic explores exponents, focusing on calculations involving bracketed bases that are then expanded and raised to a power. The problems require performing addition or subtraction inside the parentheses first, followed by raising the result to the depicted power by repeated multiplication. Each question presents a different arithmetic expression in exponential form, testing the ability to simplify expressions and compute powers correctly.more

Simplified Form (Level 1)

This math topic focuses on practicing how to simplify expressions involving exponents. It includes determining the simplified form of a number raised to a power, starting from basic multiplicative expressions (like 3x3 or 10x10) and requiring the answer in exponent form. Each problem provides a base expression and multiple choice answers, involving different powers and bases, where the correct choice represents the exponent form of the original multiplication expression. The level of difficulty suggests an introductory approach to understanding and applying the rules of exponents.more

Calculation Expanded (Level 1)

This math topic involves practicing calculations with exponents. Specifically, learners solve problems where they need to find the product when a given number is multiplied by itself, a basic introduction to understanding square numbers. The problems progress through various base numbers from 2 to 10, and students select the correct answer from multiple choices, enhancing their skills in squaring numbers and recognizing square outputs readily.more

This math topic focuses on understanding the concept of exponents, specifically illustrating the squares of numbers through pictures. It introduces students to exponents by asking them to match visual square representations to exponential expressions such as \(4^2\), \(6^2\), \(2^2\), \(5^2\), \(10^2\), \(11^2\), and \(8^2\). Each problem presents a mathematical expression of a number raised to the power of two and provides multiple visual choices, helping students connect the numerical exponentiation concept with its spatial or graphical interpretation.more

This math topic focuses on introducing and practicing the concept of exponents, specifically calculating the powers of numbers up to three. The problems involve determining the results of exponent expressions, such as calculating the square and cube of numbers as well as evaluating numbers raised to the power of one. Each problem provides a set of multiple-choice answers to choose from, highlighting basic exponent calculations aimed at beginners in the study of powers.more

This math topic focuses on the introductory concept of exponents, specifically converting exponent expressions to their equivalent expanded multiplication equations, using squares (powers of two) only. The problems present various base numbers raised to the power of two, and learners are asked to identify the correct expanded form from multiple choices. This includes recognizing and understanding the basic square calculations such as \(10^2\), \(8^2\), and \(2^2\), among others, and distinguishing these from other incorrect multiplicative options.more

This math topic focuses on introducing the concept of exponents through visual representations and their corresponding verbal descriptions. It covers the expression of numeric values in forms such as squared (power of two) and cubed (power of three) using practical scenarios of block arrangements in rows, squares, and cubes. Problems require translating visual block configurations into phrases describing their quantity using exponents. The exercises are designed for beginners in learning exponents, standing as an introductory exposure to recognizing and describing powers of numbers up to three.more

This math topic focuses on introducing students to the concept of exponents through an exploration of squares. Students are asked to determine how many blocks are in square formations of various dimensions, like 9x9, 6x6, 8x8, 3x3, 11x11, and 12x12. Each question provides multiple choice answers, challenging the student to accurately calculate the square of each given dimension to find the total number of blocks in each configuration. This type of problem helps students understand the basic concept of squaring numbers, which is a preliminary step towards mastering exponents.more

This math topic focuses on solving square equations, specifically practicing the skill of finding the variable values that satisfy second degree (quadratic) equations, such as \( x^2 = k \), where \( k \) is a constant. Each problem presents an equation with a variable squared set equal to a numerical value and offers multiple choice answers. The topic falls under an advanced unit dealing with exponents, aiming to enhance understanding and solving skills related to quadratic expressions and equations.more

Calculation (Level 2)

This math topic focuses on practicing calculations involving exponents, specifically solving problems where numbers are raised to a given power. It includes multiple-choice questions with varying degrees of difficulty, encompassing both smaller and larger exponents. Each exercise provides students with a base number and an exponent, and they must calculate the correct power of the base number. The topic is designed to enhance students' skills in handling advanced mathematical operations using exponents.more

Calculation Bracketed Base Expanded (Level 1)

This math topic focuses on practicing the calculation of exponents, specifically dealing with expressions that have bracketed bases which are then expanded and squared. The exercises involve performing basic arithmetic operations within the parentheses, followed by squaring the result. Each problem requires solving the bracketed expression first and then finding the square of the simplified number. Students are tested on their ability to adhere to the order of operations and their proficiency in basic arithmetic and exponentiation.more

Expanded Form (Level 2)

This math topic involves practicing the conversion of exponent expressions into their expanded forms. Each question provides an exponential notation and requires identifying its equivalent expanded form, using repeated multiplication of the base number. The topic enhances understanding of how exponents represent repeated multiplication and the calculation of powers of numbers. The questions vary in complexity, involving different base numbers and exponents, to help learners solidify their grasp of the fundamental concepts of exponents. This includes recognizing incorrect expansions, such as expressions with too many or too few factors.more

Expanded Form (Level 1)

This math topic focuses on the skill of identifying and expressing numbers in their expanded form using exponents. It includes foundational exercises on understanding how exponents signify repeated multiplication of a base number. As part of a broader unit on introductory concepts of exponents, the problems require computing the expanded form for various powers of numbers, aiming to strengthen the understanding of exponentiation.more

This math topic focuses on introducing and practicing the concept of exponents up to the power of three. The problems require students to correctly identify and describe exponent expressions, such as determining if a number is raised to the power of one (expressed as the number itself), two (squared), or three (cubed). Each problem is structured to test the understanding of how to verbally express basic exponent terms based on visual representations of mathematical expressions involving powers.more

This math topic focuses on the introductory concepts of exponents, specifically calculating the squares of numbers. The problems involve identifying the result of squaring various integers, such as 3, 11, 12, 8, 7, 2, and 6, through exposure to exponent expressions. Each question presents an exponent expression and multiple choice answers for students to select the correct square of the given base.more

This math topic introduces the concept of exponents, particularly emphasizing the representation of calculations involving powers of two, three, and other numbers up to nine. It uses imagery and examples involving geometric arrangements of blocks to illustrate the practical application of exponent expressions. Students are asked to analyze pictures portraying blocks arranged in rows, squares, and cubes, and to express the total number of blocks using exponent notation. The exercises range from basic exponent expressions like squaring and cubing to more visually complex arrangements, helping learners grasp foundational exponent concepts in a visual and contextual way.more

This topic focuses on introducing the concept of exponents, particularly the square of numbers. It tests students' ability to identify and express the area of a square (formed by blocks) in exponential terms (squared terms). Each problem displays a visual depiction of a square with varying dimensions and requires students to select the correct exponential phrase (e.g., '9 squared') that matches the area of the square. The problems are part of an introductory module on exponents.more

This math topic involves practicing fundamental concepts related to exponents, focusing on visualizing, understanding, and translating into equations the way exponents can represent specific configurations of block arrangements. Problems require students to determine equations for the number of blocks set in rows, layers, and three-dimensional cubes, based on their dimensions given as “long,” “wide,” and “high.” It targets beginner-level skills, ensuring students grasp how exponents work and can apply them correctly up to values of three. Additionally, it includes links for further learning and resources online.more

This math topic focuses on solving square equations, which is a part of an advanced exponents unit. Participants are required to solve for variables where the variable squared equals a given number. The equations are straightforward and involve identifying the square root of the provided constants. Multiple-choice answers are given for each question, allowing the learner to pick the correct square root value. This set of problems helps in understanding and applying the concept of squaring and square roots within an algebraic context.more

Calculation Bracketed Base (Level 2)

This math topic focuses on practicing the calculation of expressions involving exponents where the base is bracketed and involves a simple arithmetic operation (addition or subtraction). Students are required to compute the base first and then raise the result to the given power. The problems are structured to reinforce understanding of order of operations and exponentiation. Each question presents multiple-choice answers, enhancing problem-solving skills and numerical reasoning with powers.more

Calculation (Level 1)

This math topic focuses on calculating exponents, specifically squaring different integers, as part of fundamental algebra concepts. Each question presents a number raised to the power of two and asks to choose the correct answer from multiple options. The numbers featured in the problems range from smaller integers like 2, up to larger ones like 10, helping learners practice and solidify their understanding of squaring numbers.more

Simplified Form (Level 2)

This math topic focuses on practicing simplifying exponents. It includes problems where students must identify the correct simplified form of numbers expressed in exponential terms, such as identifying \(4^4\) from \(4 \times 4 \times 4 \times 4\), and other similar calculations involving different bases raised to various powers. It forms part of an introduction to understanding and simplifying exponents. This helps in reinforcing the fundamental concepts of exponents, promoting the ability to recognize and convert repeated multiplication into exponential notation.more

Calculation Expanded (Level 2)

This math topic focuses on practicing the calculation of exponents by expanding the expression. Questions require the student to compute the result of multiplying a number by itself a specified number of times. The problems vary in difficulty and deal with different numbers, engaging students in solving for final values in exponential form. Each question is provided with multiple choice answers, enhancing problem-solving skills and understanding of the exponentiation concept.more

This math topic focuses on the introductory concepts of exponents by relating visual representations of squares to their corresponding mathematical expressions. Specifically, it involves converting the dimensions of square blocks, given in picture form for various sizes, into algebraic equations. The problems center around understanding how to correctly translate the pictorial representation of each square's dimensions into an equation to find the total number of blocks, using multiplication of the side dimensions. This skill is fundamental for grasping the concept of exponents as repeated multiplication in a very straightforward context.more

The math topic revolves around introducing the concept of exponents by linking visual representations (pictures of blocks arranged in various configurations) to numerical values. Problems require calculating the number of blocks in specific setups such as long rows, squares, and cubes, all requiring mental visualization and mathematical operations using small integers, mainly focusing on powers up to three. Each problem prompts learners to interpret the visual data and determine the total count of blocks based on given dimensions.more

This math topic focuses on the introduction to exponents, specifically on understanding how to express an exponent as a multiplication equation, limited to exponents up to three. Students are provided with an exponential expression and must select the correct corresponding multiplication equation from multiple choices. The problems span a range of base numbers and involve exponents of one, two, or three, with the aim of solidifying a foundational understanding of how exponents represent repeated multiplication.more