Increasing Decreasing Graphs vs Number Divider

The DOST Courseware is a locally-produced, all-original Filipino highly interactive multimedia educational application packages that are conceptualized, digitized and produced as spearheaded by the Science Education Institute (SEI-DOST) in partnership with the Advanced Science and Technology Institute (ASTI-DOST) and in cooperation with the Department of Education (DepEd), Philippine Normal University (PNU) and University of the Philippines-National Institute for Science and Mathematics Education (UP-NISMED), which aims to develop information and communication technology learning innovation to support the upgrading and improvement of science and mathematics education in the country. The DOST Courseware are provided for free to schools and are also made available online as supplemental resources for teachers and student as a fun and interactive approach to e-learning and blended learning. The Grade 7 DOST Courseware is composed of 120 lessons overall, 73 lessons in Science where it covered the domains on: Matter; Force, Motion and Energy, Living Things and Their Environment and Earth and Space while the 60 lessons in Mathematic covered the domains on: Numbers and Number Sense, Patterns and Algebra, and Geometry. The Grade 8 DOST Courseware is composed of 118 lessons overall, 61 lessons in Science where it covered the domains on: Parts and Functions, Ecosystems, Heredity: Inheritance and Variation of Traits, Structures and Functions, Biodiversity, and Evolution, while the 57 lessons in Mathematics covered the domains on: Linear Equations, Quadratic Equations, Rational Algebraic Equations, Integral Exponents, Radicals, Arithmetic Sequence and Geometric Sequence. The themes of the courseware for Grades 7 and 8, Magicademy, Freddy’s Lab and D’nayao will surely amuse the users as they explore these distinct worlds while learning at the same ti

Discover the world of divisibility in a whole new way! With this intuitive app, you’ll learn the basics of division with and without remainders and discover the divisors of a number. • Visualize numbers and their divisors through arranged tiles • Experiment with different arrangements and change the divisors • Instantly recognize whether a number is divisible • Save important discoveries in your personal archive • Adjust the display to your needs • Ideal for students, teachers, parents, and math enthusiasts • Perfect for active discovery-based math lessons and learning at home This app turns understanding divisors and division into an exciting discovery process through research tasks. The clear, streamlined user interface enables you to understand mathematical relationships by directly experimenting. Here are some examples of tasks that can be tackled actively on various levels of difficulty with the app: Explore the number 8. Change the divisor. What does it mean when the divisor is displayed in red? What does it mean when it is green? Select the number 9. Find all its divisors. Then, describe how you went about the search and what you discovered. Take the number 14 and divide it sequentially by 2, 3, 4, 5. Note your discoveries. What do you notice? Examine the divisors of the number 16. Each divisor has a partner. What do you notice about these divisor pairs? Try finding divisor pairs for other numbers as well. Investigate the numbers 15, 16, 17, 18, 19, and 20 one by one. Which of these numbers are divisible by 2? Why? Formulate a hypothesis. Explore the numbers 8, 9, and 10. Find all divisors for each number and compare them. When comparing the divisors of two numbers: Is the larger number always the one with more divisors? Take the number 24. Systematically find all its divisors. Think about and explain how you can quickly find all divisors. Find numbers that only have two divisors. Explore prime numbers: Investigate the numbers from 10 to 20 for their divisors. Which numbers have exactly two divisors? Can a number have only one divisor? Justify your answer. Find numbers with particularly many divisors. What do you notice? Compare the number of divisors for the numbers 12, 24, 36. What do you notice? Can you find other numbers with a large number of divisors? Common divisors: Investigate the numbers 18 and 24. Which divisors do both numbers have in common? What is the greatest common divisor? Develop a strategy for finding the greatest common divisor of two numbers. Investigate square numbers: Examine the square numbers 1, 4, 9, 16, 25. What do you notice about the number of their divisors? Investigate numbers divisible by 3 and list them. What do you notice about the digits of these numbers? How can you tell if a number is divisible by 3 without calculating? Pick a number and find all its divisors. Multiply two divisors together each time. What do you find? Explain and justify your discovery.