Grade 7
79 Units, 181 Skills
Factoring and Primes - Practice
Unit 1
Digits and Divisibility - Intro
Unit 2
Speed, Distance, and Time - Intro
Unit 3
Exponents - Practice
Unit 4
Percentages - Intro
Unit 5
Cartesian Grid Basics - Practice
Unit 6
Geometry - Angles and Transformations - Practice
Unit 7
Exponents - Multiplication - Intro
Unit 8
Area and Perimeter Basic Shapes
Unit 9
Probability and Statistics - Mean, Median, and Mode - Practice
Unit 10
Multiplication - 2 and 3 Digit
Unit 11
Measurement - Units Intro - Metric
Unit 12
Geometry - Circle Concepts - Intro
Unit 13
Probability and Counting - Single Event - Practice
Unit 14
Time - Elapsed Time - Practice
Unit 15
Order of Operations - Practice
Unit 16
Geometry - Circle Circumference - Intro
Unit 17
Geometry - Shape Classification (3D) - Intro
Unit 18
Factoring and Venn Factor Diagrams - Practice
Unit 19
Percentages - Tax, Tips, and Discounts
Unit 20
Time - Elapsed Time, Negative - Practice
Unit 21
Rates and Ratios - Practice
Unit 22
Fraction Multiplication - Intro
Unit 23
Triangle Area - Practice
Unit 24
Squares and Square Roots - Intro
Unit 25
Algebra Basic Concepts - Intro
Unit 26
Factoring and Greatest Common Factor - Intro
Unit 27
Geometry - Circle Area - Intro
Unit 28
Decimal Multiplication - Practice
Unit 29
Factoring and Lowest Common Multiple - Intro
Unit 30
Fraction Addition and Subtraction - Practice
Unit 31
Scientific Notation - Intro
Unit 32
Fraction Comparing - Practice
Unit 33
Decimal Division - Practice
Unit 34
Fraction Addition and Subtraction, Mixed - Intro
Unit 35
Fraction Multiplication - Practice
Unit 36
Exponents - Division - Intro
Unit 37
Fractions and Decimals
Unit 38
Speed, Distance, and Time - Practice
Unit 39
Time - Elapsed Time - Advanced
Unit 40
Measurement - Units Practice - Metric
Unit 41
Exponents - Advanced
Unit 42
Fractions, Decimals, and Percents
Unit 43
Order of Operations - Advanced
Unit 44
Area and Perimeter Complex Shapes
Unit 45
Factoring and Primes - Advanced
Unit 46
Scientific Notation - Practice
Unit 47
Exponents - Multiplication and Division - Practice
Unit 48
Algebra Basic Concepts - Practice
Unit 49
Geometry - Shape Classification (3D) - Practice
Unit 50
Cartesian Grid Transformations - Intro
Unit 51
Triangle Area - Advanced
Unit 52
Geometry - Surface Area of 3D Shapes - Intro
Unit 53
Geometry - Volume of 3D Shapes - Intro
Unit 54
Rates and Ratios - Advanced
Unit 55
Probability and Counting - Single Event - Advanced
Unit 56
Patterning - Number Patterns Practice
Unit 57
Time - Elapsed Time, Negative - Advanced
Unit 58
Negative Integers - Intro
Unit 59
Division 3 by 2 Digit
Unit 60
Area and Perimeter Logic - Intro
Unit 61
Probability and Statistics - Counting and Probability Foundations
Unit 62
Factoring and Greatest Common Factor - Practice
Unit 63
Fraction Division - Intro
Unit 64
Geometry - Circle Area and Circumference - Practice
Unit 65
Geometry - Isosceles and Equilateral Triangles
Unit 66
Percentages - Practice
Unit 67
Digits and Divisibility - Practice
Unit 68
Cartesian Grid Geometry Logic - Intro
Unit 69
Pythagoras - Foundations
Unit 70
Decimal Multiplication - Advanced
Unit 71
Geometry - Intersecting, Parallel, and Perpendicular Lines
Unit 72
Percents and Simple Interest - Intro
Unit 73
Factoring and Lowest Common Multiple - Practice
Unit 74
Fraction Addition and Subtraction - Advanced
Unit 75
Squares and Square Roots - Practice
Unit 76
Decimal Division - Advanced
Unit 77
Fraction Addition and Subtraction, Mixed - Practice
Unit 78
Factoring, Multiplication, Division, Fractions - Intro
Unit 79
This math unit begins by reinforcing the basic principles of factoring numbers, using Venn diagrams to visually understand and calculate the lowest common multiple (LCM) of two numbers. The initial focus is on utilizing populated Venn diagrams to find LCMs and prime factors, setting a foundation for understanding multiples and divisibility. As the unit progresses, students apply these skills more extensively by engaging in prime factorization to assess whether a number is a multiple of two others and identifying prime numbers from pairs. The practice evolves into calculating LCMs directly from factorizations and testing comprehension through multiple-choice questions. Concepts of factorization and LCM are thoroughly integrated throughout, with added complexity by including variables as factors and identifying distinct prime factors, enhancing the learner's ability to tackle arithmetic operations involving fractions and multiple numbers systematically. Sessions on determining prime numbers from pairs add a comparative aspect to recognize primes effectively, cementing a robust understanding of basic and advanced factoring techniques within arithmetic and pre-algebra contexts.more
Skills you will learn include:
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Factor Tree with 3 Factors - Full (Level 2)
This math topic focuses on developing skills in prime factorization using factor trees, specifically extending to finding prime factors consisting of three factors. The exercises provide practice in breaking down composite numbers into their prime components, a fundamental aspect of understanding number properties and multiplication. Each question presents a different number to factorize, with multiple-choice answers, requiring students to apply their knowledge of factor trees and prime numbers effectively. This set of problems is part of a broader module on factoring and prime numbers.more
This math topic focuses on identifying the prime numbers in given pairs of numbers. It is designed to enhance students' understanding of prime numbers and their properties by determining which number in each pair is prime. The problems are straightforward and ask the student to select the prime number from two options. This practice is part of a broader unit on factoring and primes. Each question presents a pair of numbers, and possible answers indicate which of the two numbers is prime. Overall, the exercises aim to strengthen the ability to recognize prime numbers amidst composite numbers.more
This math topic focuses on finding and understanding the distinct factors of given numbers. It develops skills in identifying all possible factors of numbers and is an introductory exploration into factoring within the broader units of factoring and Venn Factor diagrams. Students are challenged to determine sets of factors from various number pairs across several questions, reinforcing their understanding of basic multiplication, division, and number properties.more
This math topic focuses on finding the Lowest Common Multiple (LCM) from given factorizations. It teaches how to identify and choose all distinct factors involved in the factorizations of two numbers to determine their LCM. Each problem presents a pair of numbers expressed through their prime factors, and the task is to select the LCM from a list of options. The problems are incrementally numbered and designed to promote understanding of how to work with prime factorizations to compute LCMs effectively. This is part of a broader unit on factoring and finding LCMs.more
This math topic focuses on finding the Lowest Common Multiple (LCM) from given factorizations. It includes exercises where students identify the set of all distinct factors to determine the LCM of different number pairs provided in factorized form. This theme is part of a larger unit on factoring and utilizing Venn Factor Diagrams. The problems encourage the application of factorization skills to solve LCM questions, enhancing understanding of factor relationships and their use in calculations involving multiples.more
Is Number a Multiple of Both - From Values as Factors (Level 2)
This math topic involves applying prime factorization to determine if one number is a multiple of two others. Problems require the use of factoring skills to break numbers down into their prime factors, and an understanding of multiples to determine the relationship between numbers. The central theme of these problems is to assess whether a given number, after its prime factors have been exposed, is a multiple of both of two other factored numbers simultaneously, which is part of practicing Lowest Common Multiple calculation. Each question displays the prime factorization of three numbers and asks if the first is a multiple of the other two.more
Is Number a Multiple of Both - From Values as Factors (Level 1)
This math topic focuses on practicing prime factorization and evaluating whether a given number is a multiple of two other numbers through the use of factor trees and prime exponents. It is part of a broader unit covering factoring and calculating the lowest common multiple. Problems entail determining if one number can be divided evenly by two others based on their prime factorizations, enhancing understanding of multiples, divisibility, and prime factors in a systematic manner. Each problem requires analyzing the factorization of numbers and applying this to assess divisibility conditions.more
Is Number a Multiple - From Value as Factors (Level 2)
This math topic includes exercises on prime factorization and checking if one number is a multiple of another based on their prime factors. The problems involve breaking down each given number into its prime components and verifying if all factors of the divisor are present in the dividend with at least the same multiplicity. It falls under a larger unit on factoring and finding the lowest common multiple, designed to enhance students' understanding of these concepts through practical application. Each question offers a clear setup through given statements with options for a binary 'Yes' or 'No' answer, indicating whether one number is a multiple of the other.more
Is Number a Multiple - From Value as Factors (Level 1)
This math topic focuses on prime factorization and determining if one number is a multiple of another. It involves breaking down numbers into their prime factors and then comparing these factors to answer if the first number is a multiple of the second. The problems require understanding of basic multiplication, prime factors, and the ability to analyze the factor structure of different integers. Such skills are crucial for developing algebraic insight and proficiency in handling operations involving factors and multiples. The topic is designed for practice in the broader unit of factoring and finding the lowest common multiple.more
Venn Diagrams - 2 Numbers - Populated Venn to LCM (Level 2)
This math topic focuses on the skill of finding the lowest common multiple (LCM) of two numbers using Venn diagrams. Each problem requires multiplying the set of all distinct factors, identified through Venn diagrams, to find the LCM. This is part of a broader unit on practicing factoring and the use of Venn factor diagrams. The topic contains multiple questions, with each question having several sub-problems listed under different answer labels.more
Venn Diagrams - 2 Numbers - Populated Venn to LCM (Level 1)
This math topic practices finding the lowest common multiple (LCM) of two numbers using Venn diagrams. Each problem involves analyzing a set of distinct factors presented in a Venn diagram format and then using these factors to calculate the LCM. Each question provides a graphic representation and a list of factors, enhancing understanding of how factorization influences the computation of LCM. Additionally, this topic includes multiple choice answers to each problem, allowing for verification of the calculated LCM through given options. This forms part of a larger unit on factoring and Venn factor diagrams.more
This math topic focuses on identifying prime numbers from a pair of numbers. It is a part of a broader unit on factoring and calculating the greatest common factor. The problems specifically ask students to select the prime number from two given options. Each question lists two numbers and requires the student to recognize which one is prime. There are seven questions in total, each following the same format, providing students with ample practice in recognizing prime numbers. This is likely intended to strengthen students' understanding of prime numbers in the context of factoring operations. more
This topic focuses on the mathematical skill of calculating the Lowest Common Multiple (LCM) of given pairs of numbers. It provides seven set of problems where the learner is required to identify the LCM of two numbers from a multiple choice list. It's part of a larger area of study on Factoring and Lowest Common Multiple Practice.more
This math topic focuses on finding the Lowest Common Multiple (LCM) from factorizations. It is part of a broader exploration into factoring and LCM. Students are presented with factorizations of numbers and are required to identify the LCM by considering all distinct factors. The topic includes multiple choice questions where students choose the correct LCM from a list of options for various sets of numbers. This practice is designed to enhance understanding of factorization and to develop skills in determining the LCM, which is crucial for mathematical problem solving in areas such as fraction addition and algebra.more
This math topic involves identifying and listing the distinct prime factors of specified pairs of numbers. It challenges students to analyze pairs of numbers to find individual prime factors and their combinations that are common to each pair. The activity is structured to encourage a deeper understanding of factorization and the determination of the Lowest Common Multiple (LCM) through the use of practical examples.more
Venn Diagrams - 2 Numbers - To LCM (Level 4)
This math topic focuses on using factor diagrams (Venn diagrams) to find the lowest common multiple (LCM) of two numbers. It enhances skills in factoring and understanding the concept of LCM through visual representation and factorization. The problems progressively guide students to apply these techniques in order to identify the LCM by analyzing and organizing the factors of numbers within diagrams. This approach helps in solidifying their understanding of how factors interact to form multiples, essential for mastering LCM calculations.more
Venn Diagrams - 2 Numbers - To LCM (Level 3)
This topic focuses on utilizing factor diagrams to determine the lowest common multiple (LCM) of given numbers. Each question asks students to identify the LCM by analyzing the given factor diagrams. Various questions are presented, each consisting of several numbers for which the LCM needs to be identified. This type of problem helps enhance skills in factoring and understanding the principle of multiples, crucial for building a foundation in arithmetic and number theory.more
Venn Diagrams - 2 Numbers - Populated Venn without Unique to LCM (Level 4)
This math topic focuses on the application of factorization and Venn diagrams to find the lowest common multiple (LCM) of two numbers. It includes exercises where students are required to complete factor diagrams based on given factors and then determine the LCM. Each problem involves practicing these skills across varying examples, reinforcing the concept of identifying common factors using visual aids such as Venn diagrams.more
Venn Diagrams - 2 Numbers - Populated Venn without Unique to LCM (Level 3)
These problems help students learn how to find the lowest common multiple (LCM) using factor diagrams (Venn diagrams). Each problem provides two numbers or sets for which students must complete the given factor diagram to accurately determine the LCM. This topic focuses on applying an understanding of factors through visual organizational aids and integrates basic factorization skills with methods for finding LCM efficiently.more
Venn Diagrams - 2 Numbers - Populated Venn to LCM (Level 4)
This topic focuses on using factoring and preparing Venn diagrams to find the lowest common multiple (LCM) of two numbers. The math problems involve examining sets of distinct factors, represented within Venn diagrams, and calculating the LCM by multiplying these factors together. This practice is a part of a broader unit on factoring and finding the lowest common multiples.more
Venn Diagrams - 2 Numbers - Populated Venn to LCM (Level 3)
This math topic focuses on calculating the Lowest Common Multiple (LCM) using Venn Diagrams. It involves factoring two numbers, populating the factors in a Venn Diagram, and then using those factors to find the LCM. The topic provides a thorough practice in understanding how to factor numbers, utilize Venn Diagrams effectively, and calculate the LCM by multiplying distinct factors of the numbers involved. The worksheet is designed to strengthen skills in factoring and finding LCM through multiple problem sets, each containing various scenarios for application.more
Factor Tree with 4 Factors - Full (Level 2)
This math topic focuses on developing skills in prime factorization using factor trees with four factors. It prompts students to complete factor trees to identify the prime factorization of given numbers. Each problem presents multiple choice answers, enhancing the learner's ability to recognize and verify correct prime factorizations. The exercises are part of a broader unit covering factoring, multiplication, division, and fractions.more
Venn Diagrams - 2 Numbers - To LCM (Level 2)
This math topic focuses on using Venn diagrams to find the lowest common multiple (LCM) of two numbers. It involves practicing the skill of factoring numbers, placing them in a Venn diagram to visually organize common and unique factors, and then using this visual representation to determine the LCM by multiplying factors accordingly. The topic helps reinforce understanding of multiplication, factors, and Venn diagram usage as tools in solving problems involving LCM.more
Venn Diagrams - 2 Numbers - To LCM (Level 1)
This math topic focuses on using Venn diagrams to factor pairs of numbers for the purpose of finding the least common multiple (LCM). Each problem presents a distinct set of two numbers for which students are required to determine the LCM using the provided Venn diagrams. The skills practiced include factoring numbers and understanding the concept of LCM, contributing to foundational knowledge in arithmetic and pre-algebra. This is aimed at helping students visually organize and understand the process of factoring and finding LCMs through graphical representation.more
This math topic focuses on determining whether a given number is prime or composite. It's aimed at helping learners identify the factors of a number and distinguish between prime numbers, which have only two distinct positive divisors (1 and the number itself), and composite numbers, which have more than two divisors. The topic includes a series of problems where learners must classify specific numbers (e.g., 27, 60, 21, 35, 31, 26, 29) as either prime or composite. This set of problems is part of an introductory unit on factoring and primes.more
Venn Diagrams - 2 Numbers - Populated Venn without Unique to LCM (Level 2)
This math topic involves practicing the factorization of two numbers using Venn diagrams. The goal is to populate these diagrams with common and unique factors, after which students need to find the lowest common multiple (LCM) of the numbers. Each problem requires students to complete a provided factor diagram and determine the LCM based on the factors presented in the diagram. The exercise aims to enhance understanding of factoring and the manipulation of Venn diagrams to solve problems involving two numbers.more
This math topic focuses on determining whether numbers are prime or composite. It is part of a broader unit on factoring and finding the greatest common factor. Each question presents a number, and the task is to identify it as either prime (a number only divisible by 1 and itself) or composite (a number with divisors other than 1 and itself). The numbers in question include 59, 79, 73, 43, 31, 63, and 65. This practice aids in strengthening the understanding of prime and composite properties in numbers.more
Venn Diagrams - 2 Numbers - Populated Venn without Unique to LCM (Level 1)
This math topic focuses on using Venn diagrams to factor numbers and determine the lowest common multiple (LCM) of two numbers. Each problem presents a pair of numbers for which students must complete a populated factor diagram (without unique factors leading to LCM) and then calculate the LCM using the Venn diagram. This practice helps students visualize and understand the factorization process and the concept of LCM, enhancing their skills in handling multiple number relationships through graphical representations.more
This math topic focuses on identifying whether a given number is prime or composite. It enhances students' understanding of prime numbers (numbers that have only two distinct positive divisors: 1 and themselves) and composite numbers (numbers that have more than two divisors). The problems presented involve examining individual numbers to classify them as either prime or composite.more
Is Number a Multiple of Both - From Variables as Factors (Level 1)
This math topic covers skills in prime factorization, identifying multiples, and using variables as factors. The problems involve determining whether a given product expressed through a combination of primes and variables is a multiple of other specified products. Each question presents expressions and asks if one is a multiple of the others, with options for yes or no answers. The focus is on understanding factorization and the principles of multiples within the context of higher-level arithmetic operations, notably within a unit focused on factoring and finding the lowest common multiples.more
Is Number a Multiple of Both - From Values as Factors (Level 3)
This math topic focuses on advanced concepts of prime factorization and checking whether one number is a multiple of others, using their prime factorized forms. It involves determining if a primary number is a multiple of two other numbers by analyzing their factorized structures, as presented in the format of prime factors raised to appropriate exponents. Additionally, this topic falls under a broader unit on factoring and finding the lowest common multiple, targeting an advanced understanding of these concepts. Each problem presents a situation to decide if one number is a multiple of the others provided, with a choice of 'Yes' or 'No' as answers.more
Is Number a Multiple - From Variable as Factors (Level 1)
This math topic focuses on practicing prime factorization and determining if one number is a multiple of another by analyzing their prime factors. The questions provide pairs of numbers written in factorized form, and students are asked to determine whether the first number is a multiple of the second. This involves analyzing the exponents of the constituent prime factors. Each question provides a direct "Yes" or "No" choice, guiding the student to apply their understanding of prime factorization and the properties of multiples. This topic is part of a broader unit on factoring and finding the lowest common multiple.more
This math topic focuses on identifying prime numbers from a pair of numbers. It involves comparing two numbers and determining which one is a prime number. The problems progress from easier pairings to more challenging ones, enhancing the learner's ability to recognize prime numbers in various contexts. This is part of a broader unit that introduces factoring and prime numbers.more
Is Number a Multiple - From Value as Factors (Level 3)
This math topic focuses on advanced skills related to prime factorization, determining if one number is a multiple of another, and understanding value representations as factors. Specifically, it entails evaluating given numbers expressed in factorized forms, to ascertain if one is a multiple of another utilizing their prime factorization. The problems provide factorized expressions for two numbers and ask if the first is a multiple of the second, offering a deeper insight into factoring and lowest common multiples. The format includes multiple-choice answers to validate understanding.more
This math topic focuses on finding the Lowest Common Multiple (LCM) of two numbers, which is an integral part of fraction addition and subtraction. It provides a series of questions where learners need to identify the LCM of two distinct numbers. Various options for answers are offered for each problem. This subject is essential for better understanding other arithmetic operations and developing problem-solving skills in mathematics.more
This math topic focuses on finding the Lowest Common Multiple (LCM) of pairs of numbers, which is a fundamental skill in understanding how to manipulate fractions, especially for addition and subtraction. The problems presented test the ability to identify the smallest number that is a multiple of two given numbers. Questions involve diverse pairs of numbers such as 2 and 6, 8 and 3, 11 and 10, among others, with multiple choice answers provided for each scenario. The problems are likely aimed at developing LCM identification skills in a straightforward, practice-oriented format.more
This math topic focuses on identifying and listing the distinct factors of given pairs of numbers. It engages in the practice of factorization and is associated with learning and applying concepts related to Venn Factor Diagrams. Specifically, students are tasked with finding sets of unique factors for varied pairs of integers. This serves as an exercise in distinguishing between factors and understanding their relationships, especially when diagramming them using Venn diagrams as part of broader factoring concepts. Each question requires analyzing two numbers to determine their distinct factors.more