Grade 7 Learning Modules
Operations with Integers - Mastering the Rules of Positives & Negatives
Welcome to our exciting learning module on Operations with Integers! In this module, we will explore the world of positive and negative numbers, helping you to understand how they interact and how to perform various operations with them. Integers are an essential part of math, appearing in real-life situations such as temperatures, elevations, and sports such as football!
Throughout this module, we will learn how to add, subtract, multiply, and divide integers, using visual aids, interactive activities, and real-world examples to deepen your understanding. You'll develop strategies for solving problems and become more confident in working with integers.
By the end of this module, you will not only master the operations with integers but also appreciate their relevance in everyday life. Get ready to dive into the world of numbers and unlock the power of integers!
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Integers & Absolute Value
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Algebraic Expressions, Equations & Inequalities - Building Blocks of Algebra
Welcome to our informative learning module on Simplifying Algebraic Expressions and Solving Equations! This module will take you on a journey through the essential concepts of algebra that form the foundation for higher math. You’ll learn how to simplify expressions, combine like terms, apply the distributive property, factor expressions, and solve two-step equations and inequalities.
We’ll kick things off by simplifying algebraic expressions, where you’ll discover how to make complex equations easier to work with. Next, you’ll learn to combine like terms, which will help you tidy up your expressions and make calculations smoother. We’ll also explore the distributive property, a powerful tool that helps you expand and simplify expressions effectively.
As we move forward, you’ll learn how to factor expressions using the area model, which will provide a visual way to understand the process. We’ll then tackle two-step equations, where you’ll practice solving for unknowns step by step. Finally, we’ll dive into graphing and solving two-step inequalities, enabling you to visualize solutions on a number line.
Throughout this module, you’ll engage in interactive activities, real-world applications, and collaborative problem-solving that will enhance your understanding and confidence in algebra. By the end of this module, you will have a strong grasp of these fundamental concepts, preparing you for more advanced math challenges ahead. Get ready to explore the fascinating world of algebra!
Algebraic Expressions
Edpuzzle interactive student lesson.
The Distributive Property
Edpuzzle interactive student lesson.
Factoring Algebraic Expressions
Edpuzzle interactive student lesson.
Edpuzzle interactive student lesson.
This or That Activity
Adding & Subtracting Linear Expressions
Edpuzzle interactive student lesson.
Solving Two-Step Equations
Edpuzzle interactive student lesson.
Writing Two-Step Equations
Solving Multi-Step Inequalities
Edpuzzle interactive student lesson.
Operations with Rational Numbers - Navigating Fractions, Decimals & Negatives
Welcome to our engaging learning module on Operations with Rational Numbers! In this unit, we will dive into the fascinating world of fractions, decimals, and mixed numbers. Rational numbers are everywhere—in recipes, measurements, and even when you’re saving or spending money—making them an essential part of our everyday lives.
Throughout this module, we will learn how to add, subtract, multiply, and divide rational numbers with confidence. We’ll use fun visuals, interactive activities, and real-world examples to help you grasp these concepts and see how they work in daily situations, like shopping or managing your allowance. You’ll also develop strategies to simplify and convert between different forms of rational numbers.
By the end of this module, you will have a solid understanding of how to operate with rational numbers, enhancing your problem-solving skills and getting you ready for more advanced math challenges. Get ready to explore the world of rational numbers and discover how they’re useful in your daily life!
Adding Rational Numbers
Adding Rational Numbers in Decimal Form
Adding Rational Numbers in Fraction Form
Subtracting Rational Numbers
Subtracting Rational Numbers
in Decimal Form
Subtracting Rational Numbers
in Fraction Form
Converting Between Fractions & Decimals
Multiplying Rational Numbers
Multiplying Rational Numbers
in Fraction Form
Multiplying Rational Numbers
in Decimal Form
Dividing Rational Numbers
Dividing Rational Numbers
in Fraction Form
Dividing Rational Numbers
in Decimal Form
Ratios & Proportional Relationships - Comparing Quantities
Welcome to our learning module on ratios and proportional relationships! In this module, we’ll dive into ratios and how they help us compare quantities in real-world situations. You’ll learn to understand and use rates and unit rates to see how two quantities change in relation to each other. We’ll cover the basics of writing and solving proportions, giving you a solid foundation for solving problems where quantities grow or shrink at the same rate. Through video lessons, you’ll discover how these concepts are connected to many things we see and use every day.
As we move forward, you’ll explore different ways to identify proportional relationships by examining tables, graphs, and equations. You’ll learn to recognize when two quantities are proportional and determine the unit rate from a graph, which represents the constant of proportionality. This concept is also known as the slope in linear relationships, and it plays a key role in helping you understand how one quantity changes as the other does. By comparing proportional relationships, you’ll develop skills to see and interpret patterns in data and apply this knowledge to make predictions and decisions.
Finally, we’ll put all of these concepts into practice by applying your understanding of ratios and proportions to real-world applications like scale drawings and models. Understanding scale can be incredibly useful for interpreting maps, building models, and solving problems that involve resizing objects while keeping their proportions. By the end of this module, you’ll have the tools to work confidently with ratios and proportions, understand proportional relationships, and see how these concepts apply to everyday situations.
Ratios, Rates & Unit Rates
Understanding Percents - Applying Percentages to Everyday Life
Welcome to our learning module on percents! In this module, we’ll explore percents as a way to represent parts of a whole, just like fractions and decimals. You’ll learn how to express values as fractions, decimals, and percents and understand how these different forms are connected. Through video lessons, we’ll break down these concepts so that you’ll feel confident working with percents in various contexts.
Next, we’ll dive into solving percent problems by using proportions and the percent equation, which will help you find the part, whole, or percent in any given situation. You’ll also learn how to calculate percent increases and decreases to find changes like tax, tips, markups, and discounts. These skills are incredibly useful for understanding everyday situations, like shopping sales or calculating a tip at a restaurant. Additionally, we’ll work on finding new amounts after a percentage change or determining the original amount before a change.
In the final part of the module, you’ll learn about the simple interest formula, which will help you calculate interest earned or paid on savings and loans. By understanding and using this formula, you’ll gain valuable insight into how interest works over time, whether you’re saving money or borrowing it. By the end of this module, you’ll be able to tackle a wide range of percent problems with ease and apply your understanding to real-life scenarios.
Fractions, Decimals & Percents
Edpuzzle interactive student lesson.
Exploring Probability - Understanding Change & Making Predictions
Welcome to our learning module on probability! In this module, you'll learn how to understand and describe the likelihood of different events happening. We’ll start with the basics, exploring how probability can be used to predict outcomes. Through video lessons, you’ll learn how to calculate probability by comparing the number of desired outcomes to the total number of possible outcomes. This will help you answer questions about how likely certain events are and build a solid foundation in probability.
As we go further, you’ll dive into creating and using probability models, such as tables, organized lists, and tree diagrams. These tools will help you visualize and understand more complex, or compound, probabilities—situations where multiple events happen together. By organizing information clearly, these models make it easier to break down and solve probability problems, giving you a powerful method to analyze outcomes for a range of different scenarios.
In the final part of this module, we’ll show you how to use these probability models to predict the frequency of events happening, based on relative frequencies from past data. This skill is key for understanding and interpreting real-world data, allowing you to make informed predictions based on patterns and past events. By the end of this module, you’ll feel confident in calculating probabilities, understanding outcomes, and using probability to make predictions in a variety of situations.
Probability
Exploring Statistics: Analyzing Data & Comparing Distributions
Welcome to our learning module on statistics! In this module, you’ll dive into the world of data collection and analysis to discover how statistics can help us make informed decisions. Through video lessons, we’ll start by exploring sampling strategies that represent a population fairly, ensuring that our results are both accurate and meaningful. You’ll learn how to choose samples carefully to reflect the broader population, laying the foundation for drawing valid conclusions from data.
Next, you’ll get hands-on experience with tools like box plots and dot plots to visually compare data sets. These tools will help you understand how to interpret ranges and spot differences between data sets. You’ll also learn to calculate and compare the mean and median of data sets, which are essential for summarizing information in a way that reveals patterns or outliers. Understanding these concepts will give you a clearer picture of what the data is showing.
Finally, you’ll dive deeper into data by using measures like the mean and mean absolute deviation (MAD) to make even more precise conclusions. These statistical tools will help you analyze variations within data sets, enabling you to understand how consistent or varied the data is. By the end of the module, you’ll be equipped to collect, organize, and interpret data, making you a skilled decision-maker in statistics.
Random Samples & Bias
Edpuzzle interactive student lesson.
Exploring Circles: Area, Circumference, and Their Relationships
Welcome to our learning module on circles! In this module, you’ll explore the unique properties of circles and learn how to measure and work with them. We’ll start by defining what a circle is and identifying its key parts: the radius, diameter, and circumference. Through video lessons, you’ll get to know these terms and understand how they relate to each other, setting a solid foundation for solving problems involving circles.
Next, we’ll dive into the important relationship between a circle’s diameter and its circumference, which involves the constant pi (π). You’ll discover how to use this relationship to calculate the circumference when given the diameter, and vice versa. We’ll also solve real-world and mathematical problems involving circumference, helping you apply what you’ve learned to situations like finding the distance around circular objects or spaces.
Finally, we’ll explore the area of a circle and how it connects to the radius. You’ll learn to calculate a circle’s area and use this skill to solve problems, whether it’s figuring out how much space a circular garden covers or determining the area of a circular pizza. By the end of this module, you’ll feel confident in calculating and applying both circumference and area, gaining a strong understanding of circles and their properties.
Surface Area, Cross Sections & Volume: Exploring 3D Shapes
Welcome to our learning module on surface area, cross sections, and volume! In this module, you’ll explore how three-dimensional shapes can be represented and measured. We’ll begin by examining what happens when you slice a three-dimensional figure, like a prism or pyramid, and how these slices create two-dimensional shapes called cross sections. Through video lessons, you’ll learn to identify and describe these cross sections, which helps you understand the structure of 3D shapes in new ways.
Next, we’ll dive into calculating surface area for right prisms and pyramids. Surface area is the total area that covers the outside of a 3D shape, and you’ll learn techniques to find it using the shapes’ dimensions. Knowing how to calculate surface area is essential for solving practical problems, like determining how much material is needed to cover an object. This skill also builds your understanding of geometry, helping you see how different shapes fit together to form larger structures.
Finally, we’ll focus on volume—the measure of space inside a 3D figure. You’ll learn to calculate the volume of right prisms and pyramids, applying these skills to solve real-world problems. Whether it’s figuring out how much a container can hold or the space inside a building, knowing how to calculate volume is incredibly useful. By the end of this module, you’ll be equipped to identify cross sections, calculate surface area, and determine volume, giving you a strong foundation in 3D geometry.
Angles & Triangles - Using Angle Relationships to Solve for Unknowns
Welcome to our learning module on angles and triangles! In this module, you’ll explore the fascinating world of geometric relationships, beginning with understanding different types of angles. Through video lessons, you’ll learn to identify vertical, complementary, and supplementary angles and use these relationships to find missing angle measures. These skills are key for understanding how angles connect and interact in various shapes and structures, setting a foundation for more complex geometry concepts.
Next, we’ll put your skills to the test by working with two-dimensional shapes. You’ll practice drawing geometric figures with tools like rulers, protractors, and compasses, honing your accuracy and understanding of shapes. We’ll also introduce the triangle inequality theorem, an essential concept for understanding how side lengths determine if a triangle can exist. This theorem helps you determine if three given lengths will create a unique triangle or no triangle at all, as well as how certain combinations can define one specific shape.
In the final part of the module, we’ll go further by exploring conditions that describe unique triangles, no triangles, or multiple possible triangles. You’ll gain insight into how different angle and side conditions shape triangles, helping you understand when you can create a specific triangle and when more than one arrangement is possible. By the end of this module, you’ll have the tools to analyze and construct triangles and use angle relationships confidently, building a strong foundation in geometry.