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Mathematics:

 

Numbers and Algebra

In this category, a general overview covering most broad classifications under number and algebra will be provided.

  1. A good YouTube channel with videos explaining concepts for a range of topics, but mostly on topics under numbers  and algebra: https://www.youtube.com/user/mathantics/videos [Simple]

  2. This website provides games for students to play for all topics under numbers and algebra, geometry and measurement and handling data(statistics and probability). It also provides resources on how to think mathematically: https://nrich.maths.org/secondary  [moderate]

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Number operations

  1. Video explaining prime factorisation: https://www.youtube.com/watch?v=7n5Qak9hnEU [Simple]

  2. Game related to negative numbers: https://www.mangahigh.com/en/games/minusminers [moderate]

  3. Prime factorisation with multiplication and division game: https://www.mangahigh.com/en/games/sigmaprime [Simple]

  4. What is highest common factor: https://www.youtube.com/watch?v=-ZzgW3nf4Ls [Simple]

  5. What is the lowest /least common multiple: https://www.youtube.com/watch?v=qMZBJWng9N8 [Simple]

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Ratio and proportions

  1. This website with videos explains what are ratios, proportions and percentages: https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates

  2. This website explains what is direct and inverse proportion: https://www.mathsisfun.com/algebra/directly-inversely-proportional.html

 

Functions and graphs:

  1. A game which requires students to match the graph equations to their respective graphs: https://www.transum.org/software/GraphMatch/ [difficult]

  2. What are the maximum and minimum points?: https://www.youtube.com/watch?v=Hoyv3-BMAGc [moderate]​

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Rate and speed:

  1. What is speed and average speed: https://www.youtube.com/watch?v=EfLLkGjBKog [Simple]

  2. How to convert m/s to km/h: https://www.youtube.com/watch?v=wFV3ycTIfn0 [Simple] 

  3. How to convert km/h to m/s: https://www.youtube.com/watch?v=S8rG_1VgPRc [Simple]

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Inequality symbols (notations)

  1. A game combining inequality and fractions. Students can win the game through answering the question correctly on whether the LHS fraction is > / < / = to the RHS fraction: https://www.mathplayground.com/ASB_TugTeamFractions.html [moderate]

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Equations and inequalities

  1. How to solve simultaneous equation through the use of the elimination method: https://www.youtube.com/watch?v=d6vyYvx8URw [Simple]

  2. How to solve a simultaneous equation using the graphical method: https://www.youtube.com/watch?v=_EW9AUEUFb8 [Simple]

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Geometry and Measurement

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Basic Geometry:

  1. A video explaining points, lines and planes: https://www.youtube.com/watch?v=k5etrWdIY6o [Simple]

  2. A video explaining what angles are and how to calculate the degree of an angle: https://www.youtube.com/watch?v=DGKwdHMiqCg [Simple]

  3. A video explaining angles formed by parallel lines and a transversal: https://www.youtube.com/watch?v=6RMN5Pf1fHU [Simple]

  4. A song summarising angle properties and types of angles: https://www.youtube.com/watch?v=8eD3wODClh8 [Simple]

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Triangles, Quadrilaterals and Polygons:

  1. A video to prove that the sum of angles in a triangle is 180: https://www.youtube.com/watch?v=_PnPM8VVHBA [Moderate]

  2. A video summarising properties of general quadrilaterals: https://www.youtube.com/watch?v=tbkBFD8wgJs [Simple]

  3. A video classifying different quadrilaterals: https://www.youtube.com/watch?v=0OW2bU0So-4 [Simple]

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Geometrical Constructions

  1. A video showing how to draw a line segment congruent to a given one: https://www.youtube.com/watch?v=dUhOILbpYq4 [Simple]

  2. A video showing how to copy an angle using a compass and a straight-edge: https://www.youtube.com/watch?v=agL9WVapsnM [Simple]

  3. A video showing how to construct perpendicular bisectors: https://www.youtube.com/watch?v=-L7UC8iFvL8 [Moderate]

  4. A video showing how to draw a line through a point which is perpendicular to the given line: https://www.youtube.com/watch?v=I4dh2R6b1N0 [Moderate]

  5. A video showing how to bisect an angle using a compass and a straight-edge: https://www.youtube.com/watch?v=2lP1NKYLKQw [Moderate]

  6. A video showing how to draw parallel lines using corresponding angles: https://www.youtube.com/watch?v=Jej0hVXKEvQ [Moderate]

  7. A video showing how to draw parallel lines using alternate interior angles: https://www.youtube.com/watch?v=go0pTnqQD6w [Moderate]

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Perimeter and Area of Plane Figures

  1. A video summarising how to find the area of 2D figures: https://www.youtube.com/watch?v=aNchekn-oDA [Moderate]

  2. A video explaining how to find the perimeter and area of 2D figures using worked examples https://www.youtube.com/watch?v=jddSkQS44SE [Difficult]

  3. A video animation to prove the area of a circle: https://www.youtube.com/results?search_query=prove+surface+area+of+cone+ [Simple]

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Volume and Surface Area of Prisms and Cylinders

  1. An animation video explaining and summarising the formula for the volume of 3D figures: https://www.youtube.com/watch?v=qJwecTgce6c [Moderate]

  2. A video explaining how to find the surface area of a triangular prism using nets: https://www.youtube.com/watch?v=mtMNvnm71Z0&list=PLt3hChjBw-gGs0L4-tXGfx0tNQ93t01xf&index=7 [Simple]

  3. A video proving the formula for the volume of a rectangular prism: https://www.youtube.com/watch?v=mHfC8sb1tbQ [Simple]

  4. A video proving the formula for the volume of triangular prism: https://www.youtube.com/watch?v=a8YLrKTer5M [Simple]

  5. An animation video proving the formula for surface area and volume of a cylinder: https://www.youtube.com/watch?v=OMPRKLfdpBI [Moderate]

 

Congruence and Similarity

  1. A video explaining similar and congruent figures: https://www.youtube.com/watch?v=h7ZAQfNh8XA [Simple]

  2. A video explaining how to identify congruent figures: https://www.youtube.com/watch?v=86iU3fypTd4 [Simple]

  3. A video summarising congruent and similarity tests: https://www.youtube.com/watch?v=mJ4Ms6SXEgg [Moderate]

 

Pythagoras’ Theorem

  1. A video on the basics of the Pythagoras’ theorem with worked examples: https://www.youtube.com/watch?v=JH9V3bWA1T0 [Simple]

  2. A video about the history and the different proofs of Pythagoras’ theorem: https://www.youtube.com/watch?v=YompsDlEdtc [Moderate]

  3. A video showing a proof of Pythagoras’ theorem: https://www.youtube.com/watch?v=VjI4LtotC2o [Simple]

  4. A video showing Euclidean proof of Pythagoras’ theorem: https://www.youtube.com/watch?v=nxi8gV6_50o [Difficult]

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Trigonometric Ratios

  1. A video summarising the sine function: https://www.youtube.com/watch?v=mZsJzdv34AI&list=RDCMUCiTjCIT_9EXV1Wp1cY0zaUA&start_radio=1&t=2 [Simple]

  2. A video explaining what is a radian: https://www.youtube.com/watch?v=cgPYLJ-s5II&list=RDCMUCiTjCIT_9EXV1Wp1cY0zaUA&index=2 [Simple]

  3. A video explaining the origin of the sine function: https://www.youtube.com/watch?v=llA6iW043XU [Difficult]

  4. A video explaining the origin of the cosine function: https://www.youtube.com/watch?v=8G9-QsTTrKY [Difficult]

  5. A video explaining the origin of the tangent function: https://www.youtube.com/watch?v=uekIE2rOGtc [Difficult]

  6. A video about a basic introduction to trigonometric ratios, sin cos tan: https://www.youtube.com/watch?v=O74LFU4VmlE [Moderate]

 

Volume and Surface Area of Pyramids, Cones and Spheres

  1. An animation video proving the formula for the volume of a sphere: https://www.youtube.com/watch?v=xuPl_8o_j7k [Difficult]

  2. A video demonstration to prove that volume of a cone is one-third of the volume of a cylinder of the same radius: https://www.youtube.com/watch?v=yfuHUBDH2T0 [Simple]

  3. A video demonstration to prove that volume of a sphere is twice the volume of a cone of the same radius: https://www.youtube.com/watch?v=yfuHUBDH2T0 [Simple]

  4. A video showing another proof of volume of a cone using Calculus integration: https://www.youtube.com/watch?v=V1BNA7cagTQ [Difficult]

  5. A video demonstration to prove the surface area of cone: https://www.youtube.com/watch?v=K2ghejiUDXg [Moderate]

  6. A video animation to prove that the surface area of a sphere is four times the area of a circle of the same radius: https://www.youtube.com/watch?v=GNcFjFmqEc8 [Moderate]

  7. A video explaining how to find the surface area of a pyramid using nets: https://www.youtube.com/watch?v=ajobBlMVwjA [Simple]

  8. A video showing a proof of volume of a pyramid: https://www.youtube.com/watch?v=f6nUNTfiK5Y [Difficult]

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Statistics and Probability

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Analysis and interpretation of tables, bar, graphs, pictograms, line graphs & pie charts

  1. Reading bar graphs: https://youtu.be/kiQ6MUQZHSs (Simple)

  2. Reading pictographs: https://youtu.be/qrVvpYt3Vl0 (Simple)

  3. Reading line graphs: https://study.com/academy/lesson/reading-and-interpreting-line-graphs.html (Moderate)

  4. Reading pie charts: https://youtu.be/4JqH55rLGKY (Simple)

 

 

Purposes and uses, advantages and disadvantages of the different forms of statistical representations

  1. Advantages and disadvantages of bar graphs: https://www.enotes.com/homework-help/what-advantages-disadvantages-bar-chart-688947 (Simple)

  2. Advantages and disadvantages of pie charts: https://www.excelr.com/advantages-and-disadvantages-of-pie-charts (Simple)​

 

Analysis and interpretation of dot diagrams, histograms & stem-and-leaf diagrams

  1. Making dot diagrams: https://brilliant.org/wiki/data-presentation-dot-diagram/ (Moderate)

  2. Interpreting a histogram: https://youtu.be/c02vjunQsJM (Moderate)

  3. Stem-and-leaf diagrams: https://youtu.be/LEFE1km5ROY (Moderate) & https://youtu.be/9SyFUlrs05U (Simple)

 

Purposes and uses, advantages and disadvantages of the different forms of statistical representations

  1. Advantages and disadvantages of histograms: https://histogramsdennard.weebly.com/pros-and-cons-of-histograms.html (Moderate)

  2. Advantages and disadvantages of dot diagrams: https://www.cpalms.org/Public/PreviewResourceLesson/Preview/71148 (Difficult)

  3. Explaining why a given statistical diagram leads to misinterpretation of data (NA)

 

Mean, mode and median as measures of central tendency for a set of data

  1. Calculating mean, median and mode: https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/mean-median-basics/a/mean-median-and-mode-review (Moderate)

 

Purposes and uses of mean, mode and median

  1. Uses for mean, median and mode: https://sciencing.com/uses-mean-median-mode-6323388.html (Simple)

 

Calculation of the mean for grouped data

  1. Mean, median and mode for grouped frequencies: https://www.mathsisfun.com/data/frequency-grouped-mean-median-mode.html (Moderate)

  2. How to calculate the mean for grouped data: https://youtu.be/zd5KoDoFfnM (Moderate)

 

Probability as a measure of chance

  1. Real-life examples of probability: https://sciencing.com/examples-of-real-life-probability-12746354.html (Difficult)

  2. Probability five basic facts and practices: https://7sage.com/probability-five-basic/ (Moderate)

 

Probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)

  1. Explore what probability means and why it's useful: https://www.khanacademy.org/math/probability/probability-geometry/probability-basics/a/probability-the-basics (Difficult)

  2. How likely something is to happen: https://www.mathsisfun.com/data/probability.html (Simple)

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