Addition and Subtraction Problems

This educational video demonstrates how to use bar models to visualize and solve mathematical word problems involving the subtraction of lengths. Through clear, step-by-step examples, it guides students on how to translate text-based scenarios into visual representations to determine the correct mathematical operation.

This engaging animated music video introduces students to the concept of integers through a catchy pop-rock song and vivid animations. The video follows a young girl character through three distinct scenarios—deep-sea diving, buying tickets, and experiencing freezing weather—to demonstrate how positive and negative numbers function in the real world. By grounding abstract mathematical concepts in tangible situations like elevation, money/debt, and temperature, the video makes integers accessible and relatable. The core themes explored include defining integers as positive or negative whole numbers, understanding zero as a reference point (sea level), and performing basic arithmetic with integers (addition and subtraction resulting in negative values). Additionally, the video features a dedicated bridge section that clearly defines and visualizes 'absolute value' as the distance of a number from zero on a number line, disregarding its sign. For educators, this video serves as an excellent hook or review tool for units on the number system. It provides multiple visual models, including vertical number lines for elevation and temperature, and horizontal number lines for absolute value. The lyrics act as a mnemonic device, helping students remember definitions and rules. Teachers can use the specific scenarios presented (ocean depth, financial debt, temperature change) as anchors for subsequent word problems and class activities.

This educational video provides a clear, step-by-step guide to calculating distances on a coordinate plane, specifically targeting 6th-grade mathematics standards. The lesson progresses logically from finding the distance of a single point from the axes to calculating the distance between two distinct points that share a common coordinate. By incorporating the concept of absolute value, the video bridges the gap between arithmetic and geometry, helping students understand distance as a positive magnitude regardless of the quadrant. The content covers key topics including plotting ordered pairs in all four quadrants, understanding the relationship between coordinates and distance from axes, and using absolute value to sum distances when crossing an axis. It features practical applications, such as a narrative example involving a character traveling between locations on a map, and geometric applications where students must construct shapes based on vertex distance. Teachers can use this video to introduce or reinforce the concept of distance on a coordinate grid. The visual demonstrations of "counting boxes" alongside the mathematical method of using absolute value provide scaffolded learning that appeals to both visual and logical learners. The video is particularly useful for transitioning students from simple plotting to analyzing geometric relationships on a grid.

This educational video guides students through solving a math word problem involving subtraction with double-digit numbers. The narrator presents a scenario about a teacher named Mrs. Henry who starts the year with 64 crayons and ends with 31, challenging viewers to calculate how many crayons were used. The video demonstrates two distinct methods for solving the problem: constructing a subtraction equation using algebraic thinking and utilizing visual place value blocks to physically see the difference. Key themes include subtraction strategies, place value understanding (tens and ones), and the relationship between addition and subtraction equations (fact families). The video explicitly breaks down numbers into their constituent parts—for example, showing 64 as six groups of ten and four ones—helping students visualize abstract numbers as concrete quantities. For educators, this video serves as an excellent model for connecting abstract arithmetic to visual representations. It is particularly useful for introducing students to the concept of "finding the missing part" in a subtraction problem (Total - Part = Part) and for reinforcing column subtraction without regrouping. The dual approach allows teachers to differentiate instruction for students who prefer visual methods versus those ready for standard algorithms.

This video provides a clear, step-by-step tutorial on how to interpret data from a vertical bar graph to solve a comparison problem. The narrator demonstrates how to identify specific data points corresponding to different categories ('Bike World' and 'Bikes R Us') and determines the numerical value for each by reading the vertical axis. The content focuses on the key mathematical concept of finding the difference between two quantities. It explicitly models two distinct methods for solving the problem: first, by setting up a subtraction equation (19 - 12), and second, by visually counting the grid units on the graph to determine the 'gap' between the two bar heights. This dual approach reinforces the connection between arithmetic operations and visual data representation. This resource is excellent for early elementary classrooms introducing data analysis and graphing. It helps students transition from simply reading a graph to using the data to answer 'how many more' questions—a common hurdle for young learners. The video serves as a strong model for verifying answers, as it uses the visual counting method to check the arithmetic result.

This engaging video introduces students to the concept of perimeter, defining it as the total distance around a two-dimensional shape. Through clear animations and visual metaphors, it explains why perimeter is considered a one-dimensional quantity, demonstrating this by "unfolding" a square into a straight line. The video moves from conceptual understanding to practical application, guiding viewers through the process of calculating perimeter for various polygons by summing their side lengths. The content covers three distinct levels of complexity: simple polygons like triangles and rectangles, regular polygons where multiplication can be used as a shortcut, and complex rectilinear shapes with missing side lengths. This final section is particularly valuable as it teaches a specific problem-solving strategy: using known parallel sides to deduce the lengths of unknown sides, a common hurdle in elementary geometry. For educators, this video serves as an excellent core lesson for introducing geometry measurements. It emphasizes the importance of including units in answers—a critical habit for science and math students. The visual demonstrations, particularly the "walking the path" analogy and the sliding segments to reveal missing lengths, provide intuitive scaffolds that help students grasp abstract geometric concepts.

This educational math video provides a clear, step-by-step guide on how to calculate the perimeter of various quadrilaterals, specifically focusing on shapes that are not standard squares or rectangles. Through the use of animated characters and scenarios, it introduces the concept of perimeter as the total distance around a two-dimensional shape and demonstrates the standard algorithm of summing all side lengths to find the answer. The video covers multiple examples, starting with a character running around an irregular quadrilateral track, moving to geometric shapes like parallelograms and trapezoids, and culminating in a real-world word problem about fencing a plot of land for sheep. It concludes with a practice problem for students to attempt on their own, reinforcing the procedural knowledge required to solve these math problems. Teachers can use this video to introduce the concept of perimeter or to model problem-solving strategies for geometry word problems. The step-by-step visual calculations (stacking numbers for addition) model good mathematical habits for students. The video is particularly useful for visual learners who benefit from seeing side lengths highlighted and summed sequentially.

This educational video guides students through solving a math word problem involving repeated addition and data interpretation. The narrator breaks down a scenario where a character named Rafael gets two haircuts every season, using a visual table to organize the information across Spring, Summer, Autumn, and Winter. The video demonstrates how to translate a real-world situation into mathematical expressions. Key themes include repeated addition as a foundation for multiplication, interpreting data tables, and evaluating multiple mathematical expressions to find equivalent values. The video explicitly models how to extract numerical values from text and verify them against provided options, reinforcing the concept that the same total can be represented by different number sentences (e.g., 2+2+2+2 and 4+4). Ideally suited for early elementary classrooms, this resource helps teachers introduce or reinforce the connection between word problems and arithmetic operations. It provides a clear visual model for tracking data and offers a practical opportunity for students to practice checking their work by evaluating multiple-choice answers against their calculated total.

This educational video introduces young learners to subtraction within 50 using the Singapore Math bar model method. It presents two distinct word problems: a comparison problem involving stickers and a part-whole problem involving candles. The video guides viewers through the process of reading the problem, visualizing the quantities using colored bars, setting up the corresponding subtraction equation, and solving it using the vertical column method. The content covers key mathematical themes including visualizing word problems, distinguishing between 'difference' and 'remainder' scenarios, and the specific mechanics of subtraction. Crucially, it demonstrates both simple subtraction (no regrouping) and subtraction with regrouping (borrowing), providing a clear visual representation of why regrouping is necessary when the ones digit in the minuend is smaller than in the subtrahend. For educators, this video serves as an excellent bridge between concrete manipulatives and abstract algorithms. It is particularly useful for introducing the concept of 'borrowing' or regrouping, as the visual animation clearly shows a ten being converted into ones. Teachers can use this to support lessons on problem-solving strategies, helping students move beyond guessing operations to understanding the structural relationship between numbers in a word problem.

This video explores the fundamental difference between addition and subtraction through a simple, visual example involving fruit. The narrator presents a scenario with five blueberries and three cherries, challenging viewers to determine whether they need to add or subtract to find the "total number of fruit." The video clearly distinguishes between the two operations by visually mapping them to physical actions—combining sets versus taking items away. Key themes include counting objects, understanding mathematical symbols (+ and -), and interpreting word problem vocabulary. The video visually demonstrates that addition is used for combining distinct groups to find a larger total sum (5 + 3 = 8), while subtraction is modeled as "taking away" or removing items from a starting group (5 - 3 = 2). This side-by-side comparison helps clarify when to apply each operation. For educators, this resource is an excellent tool for introducing early arithmetic concepts and problem-solving strategies. It helps students transition from concrete counting to abstract equations by explicitly visualizing the "why" behind the choice of operation. The clear comparison between "getting more" (addition) and "eating/taking away" (subtraction) provides a strong mental model for young learners beginning to solve one-step word problems.

This video guides students through solving a second-grade level math word problem involving subtraction in the context of a basketball game. The narrator demonstrates how to translate a text-based story problem into a mathematical equation, focusing specifically on interpreting the phrase "fewer points than" to determine the correct operation. The video uses a visual aid of a scoreboard and a basketball court to ground the abstract numbers in a familiar setting. The content explores key themes of reading comprehension in mathematics, comparing numbers, and performing two-digit subtraction without regrouping. It emphasizes the importance of reasoning before calculating by asking students to estimate whether the final answer should be a larger or smaller number based on the wording of the problem. The step-by-step walkthrough covers setting up the equation vertically and subtracting place values independently. For educators, this video serves as an excellent model for teaching the strategy of "unpacking" word problems. It is particularly useful for students who struggle with the vocabulary of comparison (fewer/more/less). Teachers can use this to introduce subtraction keywords or as a reinforcement activity for students practicing two-digit arithmetic. The real-world context of sports makes the math feel relevant and engaging for young learners.

This educational video introduces students to using bar models as a visual strategy for solving addition word problems within 20. Through two clear examples—one involving library books and another involving apples—the narrator demonstrates how to translate written text into a visual representation using rectangular bars to represent quantities. The content focuses on key mathematical themes including part-whole relationships, interpreting word problems, visualizing data, and standard addition algorithms. It explicitly models the step-by-step process of identifying key information, labeling a bar model, setting up an addition equation, and calculating the final sum. For educators, this video serves as an excellent instructional tool for bridging the gap between concrete manipulatives and abstract equations. It is particularly useful for introducing the Singapore Math approach or for supporting students who struggle with reading comprehension in math, as it provides a structured method for organizing information before solving.