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

Factoring and Lowest Common Multiple - Intro

Unit 30

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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Learning through Game Play

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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