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Grade 8

74 Units, 203 Skills

Geometry - Angles and Transformations - Practice

Unit 1

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

Unit 2

Measurement - Units Advanced - Metric

Unit 3

Speed, Distance, and Time - Practice

Unit 4

Area and Perimeter Complex Shapes

Unit 5

Triangle Area - Practice

Unit 6

Fraction Multiplication - Practice

Unit 7

Exponents - Division - Intro

Unit 8

Measurement - Units Large/Small Intro - Metric

Unit 9

Exponents - Advanced

Unit 10

Fractions, Decimals, and Percents

Unit 11

Order of Operations - Advanced

Unit 12

Factoring and Primes - Advanced

Unit 13

Scientific Notation - Practice

Unit 14

Exponents - Multiplication and Division - Practice

Unit 15

Algebra Basic Concepts - Practice

Unit 16

Geometry - Surface Area of 3D Shapes - Intro

Unit 17

Geometry - Volume of 3D Shapes - Intro

Unit 18

Rates and Ratios - Advanced

Unit 19

Probability and Counting - Single Event - Advanced

Unit 20

Measurement - Unit Conversion Practice - Metric

Unit 21

Patterning - Number Patterns Practice

Unit 22

Negative Integers - Intro

Unit 23

Division 3 by 2 Digit

Unit 24

Area and Perimeter Logic - Intro

Unit 25

Probability and Statistics - Counting and Probability Foundations

Unit 26

Factoring and Greatest Common Factor - Practice

Unit 27

Fraction Division - Intro

Unit 28

Geometry - Circle Area and Circumference - Practice

Unit 29

Geometry - Isosceles and Equilateral Triangles

Unit 30

Percentages - Practice

Unit 31

Digits and Divisibility - Practice

Unit 32

Cartesian Grid Geometry Logic - Intro

Unit 33

Pythagoras - Foundations

Unit 34

Decimal Multiplication - Advanced

Unit 35

Geometry - Intersecting, Parallel, and Perpendicular Lines

Unit 36

Percents and Simple Interest

Unit 37

Factoring and Lowest Common Multiple - Practice

Unit 38

Fraction Addition and Subtraction - Advanced

Unit 39

Squares and Square Roots - Advanced

Unit 40

Decimal Division - Advanced

Unit 41

Fraction Addition and Subtraction, Mixed - Practice

Unit 42

Factoring, Multiplication, Division, Fractions - Intro

Unit 43

Exponents - Multiplication and Division - Advanced

Unit 44

Unit Conversion - Intro

Unit 45

Geometry - Circle Area, Sectors and Donuts - Intro

Unit 46

Patterning - Number Patterns Advanced

Unit 47

Measurement - Units Large/Small Practice - Metric

Unit 48

Geometry - Surface Area of 3D Shapes - Practice

Unit 49

Exponents - Power Law - Intro

Unit 50

Factoring and Greatest Common Factor - Advanced

Unit 51

Algebra Manipulating Variables - Intro

Unit 52

+2

Geometry - Cylinders - Intro

Unit 53

Probability and Statistics - Counting and Probability Practice

Unit 54

Percentages - Advanced

Unit 55

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

Unit 56

Speed, Distance, and Time - Advanced

Unit 57

Ratios of Lengths - Intro

Unit 58

Cartesian Grid Geometry Logic - Practice

Unit 59

Area and Perimeter Logic - Practice

Unit 60

Slope - Intro

Unit 61

Algebra Basic Concepts - Advanced

Unit 62

Factoring and Lowest Common Multiple - Advanced

Unit 63

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

Unit 64

Geometry - Volume Logic with 3D Shapes - Intro

Unit 65

Scientific Notation - Multiplication and Division - Intro

Unit 66

Pythagoras - Intro

Unit 67

Negative Integers - Practice

Unit 68

Speed, Distance, and Time Logic Challenges - Intro

Unit 69

Factoring, Multiplication, Division, Fractions - Practice

Unit 70

Cartesian Grid Distance - Intro

Unit 71

Probability and Statistics - Factorial Form Intro

Unit 72

Pythagorean Triples - Intro

Unit 73

Exponents - Power Law - Practice

Unit 74

Patterning - Number Patterns Advanced

Unit 47

This math unit progresses from fundamental understanding of number patterns to applications involving algebraic expressions and sequences. Initially, students work with polynomial and arithmetic sequences, identifying specific terms or missing values, which strengthens their grasp of polynomial sequences and decreasing arithmetic patterns. The unit evolves to cover geometric sequences, allowing students to discern multiplication patterns. As the unit progresses, there's a significant shift towards understanding and applying exponents, particularly in identifying units digits of large numbers raised to powers, fostering skills in recognizing patterns and predicting behavior in exponentiation. Further developing their skills related to sequences, students learn to express sums of series using summation notation, transitioning from basic addition to more complex algebraic representations. They also work on determining the sums of integers from 1 to N and convert summation notation to expanded addition. Moreover, towards the latter part of the unit, students deal with interpreting and creating rules for arithmetic sequences, amplifying their algebraic thinking and application skills. Understanding the structure and rules of decreasing arithmetic patterns through equations refines their ability to apply mathematical operations and recognize patterns within sets of numbers.

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 Patterning - Number Patterns Advanced.

This math topic focuses on formulating equations to find the sum of all integers from 1 to a given number, N. It practices...

This math topic involves identifying missing terms in geometric sequences. Each problem presents a series with one term omitted...

This math topic focuses on identifying missing terms in geometric patterns. Each multiple-choice question presents a sequence...

This math topic focuses on calculating the sum of integers from 1 to N using a specific formula. It practices the application...

This math topic focuses on finding the sum of series of consecutive integers from 1 to a specified number (N). It practices...

The math topic focuses on determining the first values from equations for decreasing arithmetic patterns. It features exercises...

This math topic focuses on calculating the sum of series of consecutive integers from 1 to N. It explores the arithmetic...

This math topic focuses on finding specific terms in decreasing arithmetic sequences. Problems involve identifying the \(n\)-th...

This topic involves finding the first three terms of arithmetic sequences from given algebraic expressions. Each problem...

This math topic focuses on the skill of determining the ones digit of numbers resulting from exponent multiplication with...

This math topic involves solving problems related to finding the ones digit of the product of two large exponential numbers...

This math topic focuses on finding the sum of series of integers from 1 to N using a specific formula. The problems present...

This math topic focuses on identifying arithmetic sequences given their first three terms. Each problem presents a different...

This math topic focuses on identifying arithmetic sequences and determining the algebraic expression that describes the sequence...

This math topic focuses on polynomial number sequences, where students are required to find specific terms when given a certain...

This math topic focuses on identifying polynomial sequences based on their first three terms. The problems require finding...

This math topic practices how to apply the formula for the sum of the first N natural numbers, \(\frac{n(n+1)}{2}\), and...

This math topic practices finding equations that calculate the sum of series of integers from 1 up to a given number \( N...

This math topic focuses on finding the ones digit of a number when it is expressed as a small base raised to an exponent....

This math topic focuses on calculating the sum of a series of integers from 1 to N using a mathematical formula. Students...

This math topic focuses on finding specific terms in increasing arithmetic sequences. Learners are tasked with identifying...

This math topic focuses on converting descriptions of sums of series of integers into their corresponding summation notation....

This math topic focuses on developing the skill of expressing sums of series of integers using summation notation. It includes...

This math topic explores the skill of identifying the ones digit in numbers raised to large exponents. The problems focus...

This math topic focuses on calculating the sum of all integers from 1 to a given number \( N \), with each question presenting...

This math topic focuses on calculating the ones digit of a number when it is raised to a large exponent, enhancing skills...

This math topic focuses on determining the ones digit of a number when raised to a power, using large base numbers in exponents....

This math topic focuses on identifying the first few terms generated by equations defining increasing arithmetic sequences....

This math topic focuses on identifying the first three terms of arithmetic number sequences. Each problem presents a different...

This math topic focuses on determining the ones digit of large base numbers raised to various powers. It offers practice...

This math topic focuses on calculating and understanding sums of series of integers, starting from 1 up to a particular number...

This math topic focuses on recognizing and determining the rules of geometric number patterns. Each question presents a sequence...

This math topic focuses on identifying the next number in a Fibonacci sequence. Learners practice calculating Fibonacci numbers,...

This math topic focuses on identifying missing terms in geometric patterns. Students are given sequences of numbers where...

This math topic focuses on identifying the first few terms of increasing arithmetic sequences. Each problem presents a starting...

This math topic focuses on identifying the first values from a rule for decreasing arithmetic patterns. It includes various...

This math topic focuses on identifying the rules for decreasing arithmetic patterns. The problems require selecting the correct...

This math topic involves determining the initial terms of geometric sequences by applying given algebraic expressions. It...

This math topic focuses on identifying polynomial sequences and their initial terms. It involves determining which polynomial...

This math topic focuses on identifying the first three terms of polynomial sequences with given starting values. The problems...

This math topic focuses on practicing how to compute the sum of series of integers from 1 to N using summation forms. It...

This math topic focuses on calculating the sums of series of consecutive integers from 1 to a given number \( N \). It practices...

This math topic focuses on calculating the sums of series of integers from 1 to a specified number \( N \), which is a fundamental...

This math topic focuses on converting algebraic expressions into their corresponding summation forms and involves sums of...

This math topic focuses on finding the sum of a series of consecutive integers (from 1 to N) and associating them with the...

This math topic focuses on identifying the ones digit of a number after performing exponentiation and multiplication operations...

This math topic focuses on determining the units digit of the result when numbers with powers are multiplied together, specifically...

This math topic focuses on understanding and identifying the rules of increasing arithmetic sequences from given equations....

This math topic focuses on finding the ones digit of numbers resulting from exponentiation and subsequent multiplication....

This math topic focuses on determining the ones digit of numbers resulting from exponent multiplication operations involving...

This math topic focuses on summing series of integers from 1 to N and translating the summation formulas to text descriptions....

This math topic focuses on identifying the next term in increasing arithmetic number patterns. Learners practice determining...

This math topic revolves around identifying the rules of increasing arithmetic sequences. Each question presents a sequence...

This math topic focuses on identifying the next number in a sequence based on place value patterns. It challenges learners...

This math topic focuses on identifying and completing place value patterns. Each problem presents a sequence of numbers with...

This math topic focuses on finding term values in decreasing arithmetic sequences. Skills practiced include identifying the...

This math topic focuses on identifying and calculating specific terms in polynomial-based number sequences. Each problem...

This math topic focuses on identifying the first three terms of polynomial sequences. Each question presents a polynomial...

This math topic focuses on identifying rules from equations for decreasing arithmetic patterns. The problems present various...

This math topic focuses on calculating the sum of series of integers from 1 to N using summation notation. It involves determining...

This math topic focuses on the summation of series of integers from 1 to a specified number N. It helps develop skills in...

This math topic focuses on identifying the value of terms in arithmetic sequences, where each problem provides a starting...

This math topic focuses on identifying the next term in decreasing arithmetic sequences. It requires recognizing patterns...

This math topic focuses on the skill of determining the ones digit of a number when it is raised to a high exponent. It challenges...

This math topic explores summing series of integers from 1 to N using summation notation. Students are asked to interpret...

This topic practices the identification and calculation of specific terms in arithmetic sequences. Each question presents...

This math topic focuses on arithmetic sequences and determining specific terms within those sequences. Problems involve substituting...

This math topic focuses on finding the ones digit of numbers represented as powers with small bases, providing practice in...

This math topic focuses on practicing the creation of addition equations representing the sum of consecutive integers from...

This math topic focuses on developing skills in identifying the first values of geometric patterns according to a multiplication...

This math topic focuses on identifying the next number in Fibonacci patterns. The problems involve using the Fibonacci sequence,...

This math topic focuses on calculating the ones digit of a large number raised to a power. Specifically, it involves solving...

This math topic focuses on interpreting summation notation and expressing it as a series of simple additions. It involves...

This math topic focuses on calculating the sum of series of integers from 1 to N. It specifically helps practice adding consecutive...