Add and Subtract Within 20

This video presents a comprehensive tutorial on basic addition, specifically focusing on the problem 7 + 6. It demonstrates three distinct strategies to solve the equation, moving from concrete visual representations to more abstract mathematical concepts. The narrator first uses digital manipulatives (tomatoes and blueberries), then transitions to a number line approach, and finally introduces the concept of place value by grouping numbers to "make a ten." The key themes explored include one-to-one correspondence, counting on, using linear models for calculation, and the fundamental structure of teen numbers. The video places significant emphasis on decomposing numbers to facilitate mental math, specifically showing how 7 + 6 can be understood as (7 + 3) + 3, or 10 + 3. This conceptual bridge explains why the number 13 is written with a '1' in the tens place and a '3' in the ones place. For educators, this resource is highly valuable for bridging the gap between simple counting and computational fluency. It visualizes the "making ten" strategy, which is a critical standard in early elementary mathematics. Teachers can use this video to differentiate instruction, offering multiple entry points for students who learn best through visual aids, linear movement, or structural number sense.

This educational video demonstrates the process of adding numbers up to 20 without regrouping using the Concrete-Pictorial-Abstract (CPA) framework. Through clear animations, it guides students on how to solve the equation 14 + 4 by using virtual base-10 blocks placed on a place value chart alongside standard vertical written notation. The video explores key mathematical themes including place value (distinguishing between tens and ones), modeling numbers with manipulatives, and the step-by-step algorithm for column addition. It explicitly connects the physical act of combining 'ones' blocks to the abstract action of writing the sum in the ones column of an equation. For educators, this resource is an excellent visual aid for introducing or reinforcing early addition strategies. It supports visual learners by clearly separating the tens and ones columns and provides a model for how students can use physical manipulatives at their desks to solve similar problems. It serves as a perfect bridge between counting individual items and understanding the structure of two-digit addition.

This educational video introduces early learners to the concept of decomposing the number 5 and finding missing addends. Through a clear, step-by-step visual demonstration, the narrator uses five-frames (a row of five boxes) to illustrate different number combinations that equal 5. The video specifically explores the pairs 3+2, 2+3, 4+1, and 1+4, using colorful hand-drawn objects like circles, stars, blocks, and smiley faces to make the abstract math concrete. The key themes explored are basic addition, the concept of a "mystery number" or missing addend (algebraic thinking), and the commutative property of addition (though not named explicitly, it is demonstrated by showing that 3+2 and 2+3 both equal 5). The video emphasizes visual counting and the relationship between the part and the whole. For the classroom, this video is an excellent tool for introducing number bonds of 5 or reinforcing fluency with addition facts within 5. The visual model of filling in empty boxes helps students bridge the gap between counting objects and understanding symbolic addition equations. It naturally encourages students to pause and predict answers, making it an interactive resource for whole-group instruction or independent practice stations.

This instructional video guides early learners through the concept of "number bonds" for the number 7, effectively demonstrating the part-part-whole relationship in addition. Using concrete manipulatives (colored linking cubes) alongside an abstract visual model (number bond diagram), the video systematically explores different pairs of numbers that sum to seven. The clear, uncluttered presentation allows students to focus entirely on the mathematical relationships being demonstrated.

This comprehensive video tutorial serves as an extensive review of pre-algebra concepts, designed to build a strong mathematical foundation for middle school students. The video progresses systematically through fundamental topics, starting with operations on integers using a number line visualization, and advancing to more complex concepts like order of operations (PEMDAS), algebraic expressions, and linear equations. The instructor uses a digital blackboard format to demonstrate step-by-step problem solving, offering clear visual examples for every concept introduced.

This educational video guides students through the process of solving two distinct math word problems using a whiteboard demonstration. The first scenario involves a group of superheroes where students must use subtraction to determine the number of "real" superheroes after identifying impostors. The second scenario asks students to calculate the total number of sea monsters in a lake by adding together two groups with different physical characteristics (stripes and spots). The video explores key mathematical themes including translating written text into numerical equations, understanding part-whole relationships using number bonds (visual diagrams), and performing basic addition and subtraction operations with numbers up to 20. It demonstrates how to set up equations for missing addends (3 + ? = 14) and how to convert them into subtraction problems (14 - 3 = ?). Ideally suited for early elementary classrooms, this resource models a clear thinking process for tackling word problems. By using engaging characters like superheroes and sea monsters, it captures student interest while providing a concrete strategy—drawing number diagrams—to visualize abstract problems. Teachers can use this video to introduce problem-solving strategies or as a practice activity for students learning to distinguish between when to add and when to subtract.

This comprehensive video tutorial serves as an intensive review for the ACT Math section, covering a wide array of topics crucial for high school students preparing for college entrance exams. The content is structured as a series of 31 practice problems that mimic the style and difficulty of actual ACT questions. It progresses through various mathematical domains including pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry. The video adopts a pause-and-practice format, encouraging active participation where viewers attempt each problem before watching the detailed step-by-step solution. Key themes explored in this review include solving linear and quadratic equations, working with functions, understanding geometric properties of polygons and circles, applying trigonometric ratios (SOH CAH TOA) and identities, and analyzing statistical data. The video also places a strong emphasis on real-world application problems involving percentages, sales tax, discounts, and unit conversions. Particular attention is given to algebraic manipulation strategies, such as solving systems of equations and simplifying complex expressions, as well as test-taking tactics like identifying key information in word problems. For educators and students, this video is a valuable resource for standardized test preparation. It allows teachers to identify specific areas of weakness in student understanding by isolating problem types (e.g., if a student struggles with problem 10, they need more support with circle geometry). The step-by-step explanations model clear mathematical reasoning, demonstrating not just *how* to get the right answer, but *why* specific methods work. This makes it an excellent tool for flipped classrooms, homework support, or intensive boot-camp style review sessions prior to test dates.

This engaging music video helps students master basic addition facts by focusing specifically on adding the number 2. Through a catchy pop-rock song, the video systematically runs through addition equations starting from 2 + 1 up to 2 + 15. The visual presentation is clear and distraction-free, displaying each equation on screen as it is sung, allowing students to both hear and see the math facts simultaneously. The content explores the specific arithmetic pattern of adding two to sequential integers. Unlike skip-counting videos, this resource focuses on the operation of addition itself, demonstrating how increasing the addend by one results in the sum increasing by one. It covers three distinct sets of numbers: 1-5, 6-10, and 11-15, helping students build fluency with sums up to 17. Teachers can use this video as a high-energy warm-up to start a math block or as a transition activity to get students refocused. It serves as an excellent tool for auditory learners who struggle with rote memorization using traditional flashcards. The rhythmic nature of the song aids in retention, making it a valuable resource for building automaticity in first and second-grade math fluency.

This educational music video features a high-energy song designed to help students master adding the number 12 to other integers. Through a catchy, rhythmic pop-rock tune, the song guides listeners through a sequence of addition problems starting from 12 + 1 and continuing up to 12 + 15. The repetitive nature of the chorus and the clear recitation of equations provide an auditory mnemonic device that aids in rote memorization and mathematical fluency. The content focuses specifically on single and double-digit addition facts involving the number 12. It explores the patterns found when adding a two-digit number to single digits (crossing the decade) and adding two-digit numbers together. The song breaks the addition tables down into manageable chunks, separated by an engaging chorus that reinforces the specific skill being practiced. For educators, this video serves as an excellent warm-up activity, transition tool, or fun alternative to traditional drilling. It is particularly useful for auditory learners who struggle with flashcards or worksheets. Teachers can use the song to introduce the concept of 'making a ten and adding two' or simply to build speed and automaticity in mental math, allowing students to recall sums quickly without finger counting.

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 educational video introduces the "counting back" strategy for subtraction using three clear, visualized examples. Aimed at early elementary students, the video demonstrates how to solve subtraction problems by first physically removing objects (the "take away" model) and then verbally counting backwards from the starting number to find the difference. The pacing is slow and deliberate, allowing young learners to follow the mental process step-by-step. The content covers three specific problems: 15 - 4, 14 - 3, and 12 - 5. Each example utilizes colorful, familiar objects—gummy bears, pencils, and counting cubes—to make the abstract concept of numbers concrete. The video employs a dual-coding approach: it first shows items being crossed out to represent subtraction, then overlays a "jumping" arrow animation that visually tracks the numbers decreasing as the narrator counts backward, reinforcing the connection between physical quantity and the number sequence. For educators, this video serves as an excellent bridge between concrete manipulatives and mental math strategies. It is particularly useful for students who are ready to move beyond simply recounting the remaining items one-by-one and are learning to trust the counting-back sequence. The clear visual layout makes it ideal for whole-class demonstration or independent review stations in 1st and 2nd-grade math centers.

This educational video provides a step-by-step tutorial on how to count mixed collections of United States coins to determine their total monetary value. Through two distinct examples, the narrator demonstrates how to identify different coins—quarters, dimes, nickels, and pennies—by looking at both their "heads" and "tails" sides. The video guides viewers through the process of assigning values to each coin and using addition strategies to find the sum. The content explores key themes of coin recognition, skip counting, and multi-digit addition. A significant conceptual takeaway appears at the end of the video, where the narrator compares the two examples to demonstrate that having a higher quantity of coins does not necessarily equate to having a higher monetary value. This addresses a common developmental misconception among young learners regarding quantity versus value. For classroom application, this video is an excellent tool for reinforcing money math skills in early elementary grades. It visually supports students who are transitioning from recognizing individual coins to adding mixed values. Teachers can use the pause points to allow students to calculate totals independently before seeing the solution, or use the final comparison as a launchpad for a discussion about why specific denominations matter more than the physical number of coins.