# Making an Inventory (Work-in-Progress)

## OBJECTIVE: To make an inventory of Math competencies covered in this book.

In this inventory, all the lessons covered are classified into three categories: GEOGEBRA CONSTRUCTIONS; ALGEBRA; and GAMES. While GeoGebra Constructions are not considered as core competencies in the preparation for the College Entrance Tests, they are nonetheless essential in using the applets to understand mathematical concepts encountered in every field of Mathematics. The Math topics (Algebra) covered so far are parts of Grade 7 to Grade 9 Math curricula as stipulated in the DEPED Most Essential Learning Competencies (MELCs). Games are included as diversions but are nonetheless still topically related to the subject matter of the review. The final compilation of these lessons in Book Form will take into account the DEPED MELCs Guidelines to make sure the CET Review will be truly comprehensive. ﻿GEOGEBRA CONSTRUCTIONS 1. Taking the First Bite: https://www.geogebra.org/m/ufyfkdr4 This lesson introduces the basic features of GeoGebra Classic's Graphing Perspective. 2. Putting Things in Perspective: https://www.geogebra.org/m/kxzydnyz This lesson shows how to select and use different perspectives and views in GeoGebra Classic. 3. Getting Off the Grid: https://www.geogebra.org/m/hqa3etew This lesson shows how to use the Style Bar to customize the Graphics View of GeoGebra Classic's Graphing Perspective. 4. Sharpening Your Tools: https://www.geogebra.org/m/vjvjqs2z This lesson shows how to use the Toolbar, Toolboxes, Tools, and Tooltips in GeoGebra Classic. 5. Hitting the High Points: https://www.geogebra.org/m/wnf3vebq This lesson shows how to use the Point Tool to plot points and determine their coordinates. 6. Rummaging Through the Move Toolbox: https://www.geogebra.org/m/t5g7vw8q This lesson shows how to use the tools in the Move Toolbox. 7. Standing at Sword's Point: https://www.geogebra.org/m/un8uh2zr This lesson shows how to use some tools in the Point and Line Toolboxes. ALGEBRA Set Theory 8. Setting the Table: https://www.geogebra.org/m/eqajxyqr This lesson introduces basic set vocabulary and methods of naming sets. 9. Counting with Your Fingers: https://www.geogebra.org/m/kmqughqr This lesson discusses the cardinality of sets. 10. Taking Things Apart: https://www.geogebra.org/m/zjna6wa9 This lesson discusses subsets and introduces more set vocabulary. 11. Putting Things Together: https://www.geogebra.org/m/jwjxh3pg This lesson discusses the operations of union, intersection, and difference of sets. 12. Going Round in Circles: https://www.geogebra.org/m/wxpt6bkh This lesson shows how to use Venn Diagrams to perform set operations. 13. Finding Common Ground: https://www.geogebra.org/m/k9z4g82u This lesson shows how to solve word problems using Venn diagrams. The Set of Real Numbers 14. Keeping It Real: https://www.geogebra.org/m/n8hauvp6 This lesson discusses the set of real numbers and its subsets. 15. Keeping in Line: https://www.geogebra.org/m/sw4yxv53 This lesson shows how to graph points on the real number line. 16. Calling to Order: https://www.geogebra.org/m/vrfcsfut This lesson discusses order relationships between real numbers. 17. Talking About Inequalities: https://www.geogebra.org/m/nrpqkpch This lesson shows how to graph inequalities on the real number line. 18. Going the Distance: https://www.geogebra.org/m/fyuu6q6n This lesson introduces the concept of absolute value. 19. Climbing Down Trees: https://www.geogebra.org/m/hxmuf2dg This lesson shows how to do prime factorization on composite numbers. 20. Sifting Grains: https://www.geogebra.org/m/gamspcmt This lesson shows how to differentiate prime and composite numbers. 21. Going Dutch: https://www.geogebra.org/m/xvdee7pg This lesson discusses divisibility rules. Axioms of Real Numbers 22. Mixing Things Together: https://www.geogebra.org/m/fmktaxpa This lesson discusses the axioms of addition. 23. Counting by Piles: https://www.geogebra.org/m/bpaee2a2 This lesson discusses the axioms of multiplication. 24. Keeping Your Balance: https://www.geogebra.org/m/v5jyuhxm This lesson discusses the axioms of equality. Number Operations 25. Summing It Up: https://www.geogebra.org/m/ryw5cfbm This lesson shows how to add integers. 26. Switching Directions: https://www.geogebra.org/m/dkuqcztg This lesson shows how to subtract integers. 27. Getting Along: https://www.geogebra.org/m/fcebgdr7 This lesson shows how to multiply and divide integers. 28. Putting on Shoes and Socks: https://www.geogebra.org/m/bbqtat3p This lesson shows how to perform chain operations on integers. Fractions, Decimals, Percents 29. Looking Through the Lens: https://www.geogebra.org/m/arz3t78a This lesson shows how to find the greatest common factor (GCF). 30. Looking Through Spectacles: https://www.geogebra.org/m/ymbmew6d This lesson shows how to find the least common multiple (LCM). 31. Cutting Down to Size: https://www.geogebra.org/m/y2v77wpx This lesson shows how to simplify fractions. 32. Crossing Swords: https://www.geogebra.org/m/zgmhaymu This lesson shows how to compare fractions. 33. Breaking Up and Getting Back Together: https://www.geogebra.org/m/gzprye9v This lesson shows how to change improper fractions to mixed numbers and vice versa. 34. Wearing Uniforms: https://www.geogebra.org/m/ceyu3wpa This lesson shows how to add and subtract fractions. 35. Mixing 'Em Up: https://www.geogebra.org/m/hzx95nwa This lesson shows how to add and subtract mixed numbers. 36. Reducing, Reusing, Recycling: https://www.geogebra.org/m/gcxtdncg This lesson shows how to multiply fractions and mixed numbers. 37. Doing the Flip: https://www.geogebra.org/m/pqym69rc This lesson shows how to divide fractions and mixed numbers. 38. Getting to the Point: https://www.geogebra.org/m/wz32mw3y This lesson shows how to convert fractions to decimals. 39. Missing the Point: https://www.geogebra.org/m/vjjpprfm This lesson shows how to convert decimals to fractions. 40. Hurdling the Bar: https://www.geogebra.org/m/ncnyduqx This lesson shows how to convert repeating decimals to fractions. 41. Lining 'Em Up: https://www.geogebra.org/m/xe7bhcvz This lesson shows how to add and subtract decimals. 42. Playing Hide and Seek: https://www.geogebra.org/m/hk7yfevm This lesson shows how to multiply decimals. 43. Keeping in Step: https://www.geogebra.org/m/fuzxsufd This lesson shows how to divide decimals. 44. Pointing Left or Right: https://www.geogebra.org/m/ey2tthc4 This lesson shows how to change decimals to percents and vice versa. 45. Laying Stepping Stones: https://www.geogebra.org/m/ekeafjw8 This lesson shows how to change fractions to percents and vice versa. Algebraic Expressions: Special Products 46. Walking the Corridors of Power: https://www.geogebra.org/m/kkvfrzst This lesson discusses the Power Rules or Laws of Exponents. 47. Sharing the Booty: https://www.geogebra.org/m/x8adhm2g This lesson shows how to find the product or quotient of monomials and polynomials. 48. Foiling the Parrot Beak: https://www.geogebra.org/m/z23nut56 This lesson shows how to multiply two binomials. 49. Doting on Special Pairs: https://www.geogebra.org/m/pmtatkus This lesson shows how to multiply special binomials. 50. Hitting for Six: https://www.geogebra.org/m/sbsazmxe This lesson shows how to multiply a binomial and a trinomial. Algebraic Expressions: Special Factors 51. Going with the Flow: https://www.geogebra.org/m/gtjh795t This lesson discusses how to factor polynomials completely. 52. Finding Things in Common: https://www.geogebra.org/m/nxgw5bps This lesson shows how to factor the Common Monomial Factor from a polynomial. 53. Betting on Squares: https://www.geogebra.org/m/d4jth98g This lesson shows how to factor the Difference of Two Squares. 54. Shaking the Cubes: https://www.geogebra.org/m/xkbagzf4 This lesson shows how to factor the Sum and Difference of Two Cubes. 55. Identifying Twins: https://www.geogebra.org/m/h44emf4r This lesson shows how to factor Perfect Square Trinomials. 56. Breaking 'Em Up (1 of 2): https://www.geogebra.org/m/ns9wnxtf This lesson shows how to factor a Type I General Quadratic Trinomial (a = 1). 57. Breaking 'Em Up (2 of 2): https://www.geogebra.org/m/mm2kht5v This lesson shows how to factor a Type II General Quadratic Trinomial (a ≠ 1). 58. Stringing Quartets: https://www.geogebra.org/m/ufemmppw This lesson shows how to factor a Quadrinomial by Grouping. The Cartesian Plane 59. Getting to Know the Cartesian Plane: https://www.geogebra.org/m/wwt25asw This lesson introduces the parts of the Cartesian plane and determines where the points lie. 60. Making Your Point: https://www.geogebra.org/m/ajmnvbr9 This lesson shows how graph points on the coordinate plane in GeoGebra Classic. 61. Plotting Grid Coordinates: https://www.geogebra.org/m/m8xetsfz This lesson provides practice for plotting points on the Cartesian plane. 62. Reading Grid Coordinates: https://www.geogebra.org/m/vqc46k6a This submarine game provides practice for reading coordinates on the Cartesian plane. 63. Toeing the Line: https://www.geogebra.org/m/pfkb67ek This lesson provides practice for plotting points to form a line. Linear Equations 64. Hitting the Slopes: https://www.geogebra.org/m/cjkc2amk This lesson introduces the general concept of the slope of a line. 65. Walking Up the Ramp: https://www.geogebra.org/m/gxcy9czf This lesson introduces the "rise over run" concept of a line. 66. Hiking from Point to Point: https://www.geogebra.org/m/rkhd9suz This lesson introduces the slope formula using two points. 67. Traveling on the Standard Line: https://www.geogebra.org/m/chu2bn3u This lesson shows how to graph a line using the standard form of the equation of a line. 68. Drawing the Line: https://www.geogebra.org/m/bb3cpjrn This lesson shows how to graph a line using the intercepts. 69. Riding the Berms: https://www.geogebra.org/m/nkwt8g3y This lesson shows how to graph a line using the slope and the y-intercept. 70. Climbing Alpine Peaks: https://www.geogebra.org/m/ga65f9rf This lesson shows how to graph a line using a point and the slope. 71. Remodeling Your Room: https://www.geogebra.org/m/kaamjvn6 This lesson shows how to change the standard form of the equation of a line to slope-intercept form. 72. Getting Your Lines Straight: https://www.geogebra.org/m/w2chrmxt This lesson shows how to get the equation of a line given different conditions. Absolute Value Equations 73. Wearing a Smile or a Frown: https://www.geogebra.org/m/cczmeqjs This lesson shows how to solve absolute value equations. 74. Sitting on the Fence: https://www.geogebra.org/m/cq5gfxs6 This lesson shows how to solve absolute value inequalities. Systems of Linear Equations 75. Working in Pairs: https://www.geogebra.org/m/hvtw2rfc This lesson shows how to describe systems of linear equations. 76. Watching 'Em Dance: https://www.geogebra.org/m/arfhcasa This lesson shows the properties of parallel and perpendicular lines. 77. Meeting on the Dot: https://www.geogebra.org/m/dtnyh2rk This lesson shows how to get the intersection of two lines graphically. 78. Zipping, Zapping, and Zooming In (1 of 2): https://www.geogebra.org/m/fzdhckge This lesson shows how to get the intersection of two lines by substitution. 79. Zipping, Zapping, and Zooming In (2 of 2): https://www.geogebra.org/m/fzyt9jbm This lesson shows how to get the intersection of two lines by elimination. GAMES 80. Copying the Cats: https://www.geogebra.org/m/awmhfbxk This Chinese tangram tests a person's problem-solving skills involving geometric shapes.