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Patterns and Sums - Practice

Unit 5

This math unit progresses through a series of topics starting with foundational concepts in arithmetic sequences and advancing towards understanding of powers, polynomial expressions, and geometric sequences. Initially, students focus on calculating the sum of series for consecutive integers and applying basic formulas to solve number series problems. As the unit progresses, it delves into more complex aspects such as determining the ones digit of products involving powers, recognizing and deriving formulas for both increasing and decreasing arithmetic patterns, and analyzing the first terms in arithmetic, polynomial, and geometric sequences. The unit also covers identifying rules and expressions that govern geometric patterns and learns to convert text descriptions into summation notation for series extending from one integer to another. Overall, from basic arithmetic sums to complex pattern recognition and polynomial sequence calculations, the unit enhances computational skills and deepens the students' understanding of different types of number sequences and their properties.

Skills you will learn include:

Foundational Units
Builds Towards

Activity & Progress

Passed

Started

Not Started

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 Patterns and Sums - Practice.

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 a series of integers from 1 to N using a mathematical formula. Students...

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 calculating the sum of series of integers from 1 to N using summation notation. It involves determining...

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 the skill of determining the ones digit of numbers resulting from exponent multiplication with...

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 finding the ones digit of numbers resulting from exponentiation and subsequent multiplication....

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 identifying the ones digit of a number after performing exponentiation and multiplication operations...

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

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

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

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

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

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

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 the first three terms of arithmetic number sequences. Each problem presents a different...

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

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 arithmetic sequences and determining the algebraic expression that describes the sequence...

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 arithmetic sequences given their first three terms. Each problem presents a different...

This math topic focuses on finding rules for geometric patterns from given equations. Each question presents an equation...

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

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

This math topic focuses on calculating specific terms in polynomial number sequences. The problems involve substituting a...

This math topic involves generating the equations of geometric sequences from given rules for each pattern. The students...

This math topic focuses on identifying the correct equations to describe various geometric patterns. Each question presents...

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

This math topic focuses on determining the first three terms of polynomial sequences. Each problem provides a polynomial...

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

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

This math topic focuses on identifying specific terms in geometric number sequences. It includes problems requiring calculation...

This math topic focuses on finding specific terms in geometric number sequences. The sequences involve computing powers of...

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

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

This math topic involves identifying the correct geometric sequence based on the first three terms provided. Each question...

This math topic focuses on identifying geometric number sequences. Students are tasked with determining which mathematical...

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

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

This math topic focuses on finding term values in increasing arithmetic sequences. Each question provides a starting number...

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

This math topic involves practicing how to find specific terms in decreasing arithmetic sequences, where each term is derived...

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

This math topic focuses on developing skills in formulating equations from given rules for increasing arithmetic patterns....

This math topic focuses on the skills of formulating equations for a decreasing arithmetic pattern. Each problem on the topic...

This math topic focuses on developing skills related to forming equations for increasing arithmetic patterns. Each problem...

This math topic focuses on recognizing and formulating equations for decreasing arithmetic patterns. Across several problems,...

This math topic focuses on finding specific term values from equations of increasing arithmetic patterns. Students practice...

This math topic focuses on determining the term values from equations representing decreasing arithmetic patterns. Each problem...

This math topic provides practice on generating addition equations from text descriptions regarding the sum of consecutive...

This math topic focuses on calculating and understanding the sum of series of consecutive integers from M to N. The problems...

This math topic focuses on converting the sum of a series of integers from a range \(M\) to \(N\) (inclusive) into summation...

This math topic focuses on converting series of integers from an addition format to a summation notation. Specifically, it...

This math topic focuses on interpreting summation notation and identifying the correct summation of integers between specified...

This math topic focuses on calculating the sum of a series of consecutive integers within a specified range, from M to N...

This math topic centers on finding sums of consecutive integers from a given start to an end point, enhancing proficiency...

This math topic involves solving problems that require finding the sum of a series of integers from 'M' to 'N'. Each problem...

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 converting algebraic expressions into their corresponding summation forms and involves sums of...

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

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 sum of series of integers from 1 to N. It specifically helps practice adding consecutive...

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