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Mathigon - Philip Legner

Grades
4 to 12
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Mathigon is a free, interactive online mathematics platform that offers interactive resources and courses to help students practice and learn math concepts. Interactive activities include...more
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Mathigon is a free, interactive online mathematics platform that offers interactive resources and courses to help students practice and learn math concepts. Interactive activities include a timeline of mathematics that shares mathematical achievements from the Stone Age through modern times and Factris, a geometric game similar to Tetris. Courses include concepts in geometry, algebra, and probability, organized by grade level from middle to high school. Mathigon integrates with features in Polypad, reviewed here including lesson plans and additional interactive activities.

tag(s): angles (52), charts and graphs (196), exponents (41), functions (61), geometric shapes (153), inequalities (28), integers (26), logic (166), manipulatives (14), origami (15), probability (132), problem solving (275), puzzles (163), ratios (53), simulations (48), statistics (129), tangrams (9), timelines (60), variables (21)

In the Classroom

Offer Mathigon puzzles or explorations as a choice activity for early finishers or enrichment blocks. Use Mathigon activities as a math station for students to explore concepts (fractions, area, transformations) before direct instruction. Have students manipulate visuals, make predictions, and discuss patterns they notice.

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Polypad - Amplified Education

Grades
K to 12
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Polypad is like a digital playground for K-12 mathematics, offering an extensive collection of interactive virtual manipulatives. This free platform allows students to explore abstract...more
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Polypad is like a digital playground for K-12 mathematics, offering an extensive collection of interactive virtual manipulatives. This free platform allows students to explore abstract concepts through a highly visual, tactile interface that uses tiles for geometry, algebra, fractions, and data science. Users can drag and drop objects such as prime factor tiles, fraction bars, and 3D polyhedra that fold and unfold onto a blank canvas. The tool includes unique features such as a balance scale for solving equations, logic gates for introductory coding, and a "music and sonification" tool that turns geometric properties into audible tones. While students can experiment without an account, a free teacher account unlocks access to a large lesson library, the ability to author custom activities, the ability to toggle specific toolbars to focus student attention, and the ability to save or share canvases via unique links.

tag(s): charts and graphs (196), fractions (179), functions (61), geometric shapes (153), logic (166), manipulatives (14), number sense (74), patterns (82), probability (132)

In the Classroom

Transform a standard lesson on probability and data into an interactive experiment by having students use the built-in dice, coins, and spinners to collect real-time data sets. For a middle school math project, students can run simulations on the canvas to compare theoretical and experimental probability, then use the data science tools to generate and analyze frequency charts instantly. After identifying patterns in their results, students can summarize their findings by creating a collaborative digital board with Padlet, reviewed here, where they post screenshots of their most surprising outcomes. To further extend the learning, ask students to record a quick explanation of their probability fairness test using the Chrome Capture screen recorder, reviewed here, and share it with their peers for feedback.

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Magnifying Metacognition: Reclaiming the the "Messy Middle" in Math Instruction - TeachersFirst

Grades
4 to 8
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This blog highlights the importance of metacognition in math instruction. It encourages teachers to embrace the "messy middle," where students think, reason, and make sense of problems...more
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This blog highlights the importance of metacognition in math instruction. It encourages teachers to embrace the "messy middle," where students think, reason, and make sense of problems rather than rushing to answers. It explains how metacognitive habits deepen understanding, strengthen problem-solving skills, and support social-emotional learning and a growth mindset. The article also offers practical strategies such as math journals, digital reflections, process-focused rubrics, and self-assessments to help students monitor their thinking and build confidence as mathematicians.

tag(s): social and emotional learning (195), thinking skills (116)

In the Classroom

Model a math problem by verbalizing every step of your thinking. Then have students work in pairs, taking turns solving a new problem while narrating their thoughts. Present an image, graph, or number pattern, and have students list their observations and questions before performing any calculations. Give students a rubric that emphasizes reasoning, strategy choice, and perseverance rather than just the correct answer. Have them self-score and discuss their scores with a partner. Have students design their own multi-step math problem, explain why it is challenging, and write out a "thought process guide" showing how to approach it.
 This resource requires PDF reader software like Adobe Acrobat.

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Mobius Math Academy - Mobius

Grades
K to 12
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Mobius is a math curriculum that includes AI features to personalize and guide students. The free version is available for solo users in grades 1-12. Begin by creating a parent ...more
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Mobius is a math curriculum that includes AI features to personalize and guide students. The free version is available for solo users in grades 1-12. Begin by creating a parent or student account and choosing learning goals. As the student begins answering questions, the difficulty level will adapt based on their responses. Users with free accounts can access all content either by grade level or content topics.

tag(s): angles (52), artificial intelligence (300), assessment (144), decimals (94), division (109), factoring (29), fractions (179), geometric shapes (153), multiplication (133), patterns (82), probability (132)

In the Classroom

Mobius is an excellent tool to share with students for reinforcing, practicing, or extending math skills. Share this resource with parents for students to practice at home, or include Mobius as part of a math learning station for individual student practice. Mobius is ideal for advanced students to practice and learn math at their own pace, as well as for struggling students to receive additional practice with math skills. Mobius encourages students to spend at least forty-five minutes weekly completing activities, asks students to record their time spent, and encourages them to continue by creating personalized certificates of completion at Canva for Education, reviewed here.

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Open Culture Free Online Courses - Open Culture, LLC

Grades
9 to 12
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The Open Culture page on Free Online Courses curates over 1,700 no-cost courses from top universities such as Harvard, Yale, and MIT, covering a wide range of subjects including humanities,...more
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The Open Culture page on Free Online Courses curates over 1,700 no-cost courses from top universities such as Harvard, Yale, and MIT, covering a wide range of subjects including humanities, social sciences, computer science, mathematics, history, art, and world languages. The listings include downloadable audio and video lectures, MOOCs, and audit options, making it a flexible resource for advanced learners, enrichment, or flipped-classroom models. Teachers can use these courses to supplement curriculum topics, assign independent enrichment activities, or provide whole-class explorations for upper-grade students. If your district blocks YouTube, then the videos may not be viewable.
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tag(s): art history (104), artificial intelligence (300), artists (100), business (50), civil war (145), coding (109), computers (115), cultures (292), engineering (141), environment (254), politics (124), psychology (60), religions (120), shakespeare (98), sociology (24), world war 1 (87), world war 2 (169)

In the Classroom

Choose short university lectures related to your current unit (e.g., history, literature, or psychology). Have students summarize key takeaways and connect them to class topics. Assign a relevant Open Culture lecture for homework, then use class time for guided discussion, problem-solving, or creative applications of the concept. Form small groups where students take different Open Culture courses and share summaries or key insights with the class, encouraging collaboration and exposure to diverse subjects.

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Free Printable Worksheets for Teachers - Wayground (formerly Quizzizz)

Grades
K to 12
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Wayground (formerly Quizizz) provides a wide collection of free printable worksheets and interactive activities for students in grades Kindergarten through twelfth. After creating...more
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Wayground (formerly Quizizz) provides a wide collection of free printable worksheets and interactive activities for students in grades Kindergarten through twelfth. After creating a free account, teachers can access materials across subjects such as math, science, social studies, social emotional learning, fine arts, world languages, reading and writing, and typing. Resources can be downloaded as printable worksheets or launched as interactive quizzes. When using quizzes, teachers can preview, assign, or run live sessions with options for student-led or teacher-led modes. Assignment features allow customization of settings such as timing, attempts, accommodations, question order, answer visibility, and game elements like power-ups and leaderboards. Educators can also create their own content, including assessments, lessons, interactive videos, or passages, with flexible question types and privacy settings for classroom or school use.

tag(s): charts and graphs (196), critical thinking (179), data (213), equations (132), game based learning (304), grammar (139), grammar review (33), matter (51), sign language (16), social and emotional learning (195)

In the Classroom

Students can either complete the worksheet or the quiz on Wayground. When completing a worksheet, students can use Seesaw, reviewed here to show their thinking/understanding of the concept. Students can create their own problems for a quiz on Wayground.

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Probability Worksheets for 8th Grade - Wayground (formerly Quizzizz):

Grades
7 to 8
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Wayground (formerly Quizzizz) offers free printable probability worksheets for 8th grade. Worksheets cover topics including: Probability, Simple Probability, Compound Probability, Basic...more
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Wayground (formerly Quizzizz) offers free printable probability worksheets for 8th grade. Worksheets cover topics including: Probability, Simple Probability, Compound Probability, Basic Probability, Theoretical Probability, and more. Once you select your worksheet, you can either Download and Print or Play as a Quiz. If you choose Play as a Quiz, you can Preview, Assign, Start Now, and toggle the Show Answers button. If you assign the Quiz, you can customize the Start and End Date, Accommodations, Session Attempts, Redemption Questions, Timer, Show Answers after each Question, Shuffle Questions, Shuffle Answers, Power-Ups, and Leader Board. If you select Start Now, you'll see the options "Student Led" or "Teacher Led". You must create a free account to access the printables and quizzes on the site.

tag(s): game based learning (304), probability (132)

In the Classroom

Students can participate in either completing the worksheet or the quiz from Wayground. Students can use Free Online Screen Recorder, reviewed here to create a recording of themselves teaching a probability problem. Students can create a step-by-step guide to how to solve probability problems using Padlet, reviewed here.
 This resource requires PDF reader software like Adobe Acrobat.

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Probability Real World Practice Problem for Grades 6-8! - Mashup Math

Grades
6 to 8
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This video from Mashup Math shows students how to use real-world data to find probability. A soda company uses six different symbols on bottle caps, and a table shows how ...more
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This video from Mashup Math shows students how to use real-world data to find probability. A soda company uses six different symbols on bottle caps, and a table shows how often each symbol appears on 50 bottles. Students learn to calculate the probability that the next bottle will have either a green heart or a purple star by adding the occurrences of those two symbols, which appear 15 and 5 times. Together, they occur 20 out of 50 times, and the video demonstrates how to simplify that fraction to 2/5. The lesson reinforces how to use data, identify desired outcomes, and express probability clearly. If your district blocks YouTube, then the video may not be viewable.
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tag(s): data (213), fractions (179), probability (132)

In the Classroom

As students are watching the video, they can use Google Keep, reviewed here to write notes or attempt to answer the question. Students can use Free Screen Recorder Online, reviewed here to create their own probability video. Students can use Padlet, reviewed here to showcase different probability problems with answers.

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Printable Algebra Worksheets - Math Worksheets 4 Kids

Grades
K to 8
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Math Worksheets 4 Kids provides free printable algebra worksheets for students in grades K through 8. The site covers topics such as translating phrases into algebraic expressions,...more
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Math Worksheets 4 Kids provides free printable algebra worksheets for students in grades K through 8. The site covers topics such as translating phrases into algebraic expressions, rearranging equations, functions, graphing linear functions, absolute values, vectors, and more. A menu on the right side of the page allows teachers to filter resources by grade level and math skill.

tag(s): charts and graphs (196), equations (132), functions (61), vectors (15)

In the Classroom

Students can complete the worksheets that are printed for them. Students can use Seesaw, reviewed here to share their work. Set up stations with "function machines" where students input numbers and determine the output based on a hidden rule. After solving several examples, have students write the rule in algebraic form and compare it with classmates.
 This resource requires PDF reader software like Adobe Acrobat.

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Math Transformations - Math Transformations

Grades
K to 12
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Math Transformations is a free mathematics website that contains blogs, videos, and lessons. The site is broken down into subtopics: Math Tool Box, Counting and Cardinality, Numbers...more
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Math Transformations is a free mathematics website that contains blogs, videos, and lessons. The site is broken down into subtopics: Math Tool Box, Counting and Cardinality, Numbers and Operations in Base Ten, Numbers and Operations: Fractions and Decimals, Expressions and Equations, Ratios and Proportional Reasoning and Functions, The Number System, High School Math, and Math Choice Boards. Each of these subtopics lists the grade band.

tag(s): base ten (5), blogs (77), counting (66), decimals (94), equations (132), fractions (179), manipulatives (14), numbers (120), order of operations (32), ratios (53)

In the Classroom

Students can use the Math Choice Boards that are created and use Padlet reviewed here to share their favorite activity. Students can complete the activities listed on the website. Students can create their own step-by-step directions to solve problems using Book Creator, reviewed here.

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Making Maths fun: Revision activities for students - Teacher ACER

Grades
4 to 12
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This video demonstrates three engaging ways to review math concepts so that practice feels more like a game than a worksheet. The first activity, Revision Jenga, has students pull colored...more
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This video demonstrates three engaging ways to review math concepts so that practice feels more like a game than a worksheet. The first activity, Revision Jenga, has students pull colored blocks that match question cards and solve the problems together, encouraging teamwork and explanation of strategies. The second activity, Plickers, uses printed response cards that students hold up to answer multiple-choice questions while the teacher scans the room to quickly check understanding. The third activity, Whodunit, turns review into a mystery game where students solve problems to earn clues that help them determine the suspect, weapon, and location. These strategies can be used with many grade levels and topics, promote discussion and movement, and help students remember what they have learned in a fun and interactive way. If your district blocks YouTube, the video may not be accessible at school.
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tag(s): game based learning (304)

In the Classroom

Students can create their own problems for the different revision games featured in the video. Students can create a quiz using Baamboozle, reviewed here. Students can create a video solving the equation using Free Screen Recorder Online, reviewed here.

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Math By The Pixel - Math By The Pixel

Grades
9 to 12
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Math By The Pixel provides free math videos and printable worksheets for students studying algebra, geometry, and calculus. All worksheets are available in PDF format, and the video...more
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Math By The Pixel provides free math videos and printable worksheets for students studying algebra, geometry, and calculus. All worksheets are available in PDF format, and the video lessons range from short explanations to longer, more detailed instructions. The site also includes a calculator section with free online tools that guide students step by step through problem-solving, making it a helpful resource for independent practice and review.

tag(s): calculators (36), problem solving (275)

In the Classroom

Students can watch the videos and complete the worksheets that are featured on the site. Students can create their own videos demonstrating step-by-step instructions to solve problems using Free Screen Recorder Online, reviewed here. Play a short Math By The Pixel video that aligns with your current topic. After viewing, have students complete a quick pair-share discussing one new strategy or reminder they learned.
 This resource requires PDF reader software like Adobe Acrobat.

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Welcome to The Matheneaum - The Mathenaeum

Grades
9 to 12
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The Mathenaeum is a free website offering explorations, games, and learning activities designed to support algebra instruction. The top menu includes sections such as Number, Geometry,...more
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The Mathenaeum is a free website offering explorations, games, and learning activities designed to support algebra instruction. The top menu includes sections such as Number, Geometry, Models, Algebra, Chance and Data, Calculus, Utilities, and Guide. As you scroll, you will find areas like What's New, Popular, Papers, and Feedback. Featured activities include Funny Faces, Wiggly Creature Construction, Exploding Dots, Problem of the Year, and many others.

tag(s): data (213), equations (132), game based learning (304), probability (132)

In the Classroom

Students can complete the activities that are provided on the site. Students can use Seesaw, reviewed here to show their thinking while solving the equations. Students can create online quizzes using Baamboozle, reviewed here.

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Learn Algebra 1 and 2 in One Video - Derek Banas

Grades
9 to 12
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Learn Algebra 1 and 2 in One Video by Derek Banas is a YouTube video that runs for 2 hours and 52 minutes. The video is divided into ten chapters. ...more
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Learn Algebra 1 and 2 in One Video by Derek Banas is a YouTube video that runs for 2 hours and 52 minutes. The video is divided into ten chapters. Each chapter can be accessed either in the information section under the video or on the sidebar. Chapters include: Basic Algebra, Properties of Numbers, Solving Equations, Solving Inequalities, Interval Notation, Systems of Equations, Variable Elimination, System of Inequalities, Absolute Value Equations, and Fundamental Theorem of Arithmetic. Throughout the video, Derek Banas explains step by step how to solve problems. If your district blocks YouTube, then the video may not be viewable.
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tag(s): equations (132), inequalities (28), numbers (120), variables (21)

In the Classroom

Students can create their own videos using Free Screen Recorder Online, reviewed here to solve Algebra equations. Students can use Google Drawings, reviewed here as a way to show their thinking. Students can create a quiz using Baamboozle, reviewed here.

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A Quick Algebra Review - Everett Community College:

Grades
9 to 12
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A Quick Algebra Review is a 31-page PDF that provides a brief explanation and examples of algebra topics. Algebra concepts in the review include: Simplifying Equations, Solving Equations,...more
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A Quick Algebra Review is a 31-page PDF that provides a brief explanation and examples of algebra topics. Algebra concepts in the review include: Simplifying Equations, Solving Equations, Problem Solving, Inequalities, Absolute Values, Linear Equations, Systems of Equations, Laws of Exponents, Quadratics, Rationals, and Radicals.

tag(s): equations (132), exponents (41), inequalities (28), problem solving (275), quadratics (28)

In the Classroom

Students can use Baamboozle, reviewed here to create and solve equations. Students can use Book Creator, reviewed here to create a step-by-step guide to solve algebraic equations. Students can use Free Screen Recorder Online, reviewed here to teach the class how to solve algebraic problems.
 This resource requires PDF reader software like Adobe Acrobat.

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Algebra Practice Tests - Everett Community College:

Grades
9 to 12
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Everett Community College: Algebra Practice Tests provides twenty-five free downloadable tests to help students review key algebra skills. Each PDF includes its own answer key at the...more
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Everett Community College: Algebra Practice Tests provides twenty-five free downloadable tests to help students review key algebra skills. Each PDF includes its own answer key at the bottom of the page. The tests cover topics such as algebraic equations, polynomial long division, complex numbers, distance and midpoint, circles, properties of logarithms, and several additional areas of algebra.

tag(s): equations (132), exponents (41), factoring (29), factors (30), fractions (179), polynomials (23), quadratics (28)

In the Classroom

Students can use Google Keep, reviewed here to show their work for the test problems. Students can use NearPod, reviewed here to complete the test questions, allowing for their work to be showcased to both the class and the teacher. Students can use Padlet, reviewed here by solving equations on the test to create a review bulletin board.

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20 Practical Examples Of Algebra In Everyday Life - Different By Design Learning

Grades
9 to 12
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Different By Design Learning offers a free article titled 20 Practical Examples of Algebra in Everyday Life that explains why algebra matters for teenagers. It covers the basic...more
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Different By Design Learning offers a free article titled 20 Practical Examples of Algebra in Everyday Life that explains why algebra matters for teenagers. It covers the basic definition of algebra, its importance, and its applications to real-life situations. The article highlights twenty practical examples, such as playing video games, cooking, managing grocery bills, and calculating arrival and departure times, helping students see how algebra connects to everyday experiences.

tag(s): blogs (77), equations (132), logic (166)

In the Classroom

Students can create an infographic sharing how algebra is used in everyday life using Canva Infographic Creator, reviewed here. Students can reenact themselves using algebra for one of the twenty practical ways using Free Screen Recorder Online, reviewed here. Students can use Baamboozle, reviewed here to create algebra games to share.

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The Mathenaeum: Algebra Tiles - The Mathenaeum

Grades
9 to 12
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The Mathenaeum: Algebra Tiles includes five interactive activities: Using Algebra Tiles, Directed Number (addition or subtraction), Directed Number (multiplication or division), Algebra...more
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The Mathenaeum: Algebra Tiles includes five interactive activities: Using Algebra Tiles, Directed Number (addition or subtraction), Directed Number (multiplication or division), Algebra with Tiles, and Solving Equations. Each activity offers hands-on explorations and games that help students learn, practice, and review key algebra concepts.

tag(s): addition (137), division (109), game based learning (304), multiplication (133), problem solving (275), subtraction (118)

In the Classroom

Have students complete the games that are provided on the site. Have students use Seesaw, reviewed here to show their thinking while solving the equations. Students can create a digital equation wall in Padlet, reviewed here showcasing their understanding.

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Aktan Education - Aktan Education

Grades
10 to 12
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The Aktan Education (Aktaned) YouTube channel offers a curated set of playlists dedicated to enhancing students' skills for standardized exams such as the SAT and ACT, with a particular...more
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The Aktan Education (Aktaned) YouTube channel offers a curated set of playlists dedicated to enhancing students' skills for standardized exams such as the SAT and ACT, with a particular focus on math prep. Covering topics such as common SAT math traps, ACT strategy drills, and essential pre-calculus skills, the channel presents brief, high-impact video shorts and tutorials designed to clarify tricky concepts and support efficient problem-solving. Teachers can use these playlists to introduce strategies, reinforce classroom lessons, or provide students with bite-sized refreshers on frequently tested topics. If your district blocks YouTube, then the videos may not be viewable.
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tag(s): test prep (71)

In the Classroom

After watching a video on SAT or ACT math traps, students can work in small groups to create their own "trap" multiple-choice questions with misleading answers. Groups exchange questions and explain how to spot and avoid the trap. Assign students different Aktaned videos to watch independently. Each student then teaches their topic to a small group using a whiteboard or slide deck made with Google Slides reviewed here or Canva Edu reviewed here. Set up stations with practice problems featured in the Aktaned videos. Have students rotate through stations, applying the strategy introduced in the video and timing themselves to simulate test conditions.

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4 Hands-on Probability Games - 123 Homeschool 4 Me

Grades
K to 6
0 Favorites 0  Comments
This page offers four engaging, tactile games designed to introduce students to basic probability concepts using everyday materials like coins, dice, Skittles, blueberries, and pizza...more
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This page offers four engaging, tactile games designed to introduce students to basic probability concepts using everyday materials like coins, dice, Skittles, blueberries, and pizza toppings. Each game is paired with a printable worksheet to help learners collect data, convert tallies into fractions or percentages, and discuss concepts such as dependent versus independent events (e.g., coin tosses versus drawing without replacement). Instructions are easy to follow, and the games are low-prep, making them ideal for classroom, homeschool, or small-group settings. Worksheets are available for download at the bottom of the page.
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tag(s): probability (132), statistics (129)

In the Classroom

Have students toss a coin 50 times, record heads or tails using tally marks, and then calculate the fraction and percentage of each outcome. Discuss how experimental results compare to theoretical probability. Let students create their own paper pizzas with various toppings. Then, using the provided spinner or dice instructions, have students determine the likelihood of selecting a particular topping combination. As an enrichment activity, students can work in pairs or small groups to design their own simple probability game using dice, spinners, or cards. They can present the rules and theoretical outcomes and test their games with classmates.
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