!The MrDownes dynamic book

Ronan Downes, Jul 24, 2020

Table of Contents

  1. Number
    1. Errors in Measurement 量度的誤差
    2. Multiplication of Natural Numbers
    3. Digit Value (3 Digits)
    4. Identify the Two-Digit Number
    5. Make a Two-Digit Number
    6. Multiplication tables while having fun
    7. Multiplication of Natural Numbers
  2. !!Homeless
    1. Pythagorean triples from complex numbers
  3. N1a Model Operations
    1. Skip Counting
    2. Copy of How Many? - with grouping
  4. N1b Perform Operations
    1. Multiplication of Natural Numbers
  5. N1c Explore given index numbers
    1. Exponential (index) notation
  6. N1d HCF & LCM
    1. Check if Number is Prime
    2. Factoring Trinomials (Leading Coefficient is Prime)
    3. Numbers
    4. HCF & LCM of Two Numbers by Short Division 以短除法求兩個數的HCF和LCM
    5. HCF, LCM smaller integers
    6. Meaning of LCM 最小公倍數的意義
    7. LCM by Listing Multiples
  7. N1e -decimal places and significant figures
  8. N1f Decimal numbers to index form
  9. Modular Maths
    1. Separable Clock
    2. 正角、負角|Positive angles & Negative angles
  10. Geometry books
    1. Rectangle Diagonals
    2. Copy of Differents views of a same fraction (D Mentrard)
  11. Y1 \ 02 HCF & LCM
    1. Meaning of HCF
    2. Finding H.C.F. by Listing Factors
    3. Visual LCM
    4. The Perpendicular Bisector (and midpoint) of a segment with ruler and compass
    5. Copy of HCF, LCM smaller integers
  12. Y1 \ 01 Basic Computation
    1. Multiplication Table Quiz
    2. Mixed Arithmetic Operations of Positive Integers Quiz
    3. Quiz on Arithmetic Operations of Fractions
    4. Divisibility by 3
    5. Quiz on Divisibility by 2, 3, 4, 5, 6, 8, 9 and 10
    6. Quiz on Concept of Power
    7. Prime Factorisation of Positive Integers
  13. Y1 \ 03 Directed Numbers
  14. Y1 \ 04 Introduction to Algebra
  15. Y1 \ 05 Operation of Polynomials
  16. Y1 \ 06 Introduction to Geometry
  17. Y1 \ 07 Transformations and Symmetries
  18. Y1 \ 08 Introduction to Coordinates
  19. Y1 \ 09 Cartesian Coordinate &Transformations
  20. Y1 \ 10 Percentage(1)
    1. Fractions & Percentages 分數和百分數
    2. Percentage (Part-Whole) 所佔百分數
    3. Percentage Change 百分改變
    4. Quiz on Percentage Change 百分改變：測驗
    5. Quiz on Percentage Profit & Loss 盈虧百分率測驗
  21. Y2 \ 01 Ratios
    1. Concept of Ratios
    2. Concept of Ratios-2
    3. Ratio & Proportion
    4. HCF & LCM of Three Numbers by Short Division
  22. Y2 \ 02 Identities & Factorisation
    1. Equations & Identities
  23. Y2 \ 03 Simultaneous Linear Equations | Simultaneous Linear Equations
  24. Y2 \ 04 Approximation & Errors | Approximation & Errors
  25. Y2 \ 05 Angles of Triangles & Polygons | Angles of Triangles & Polygons
  26. Y2 \ 06 Radicals and Pythagoras Theorem | Surds & Pythagoras Theorem
  27. Y2 \ 07 Trigonometry | Trigonometry
  28. Y2 \ 08 Area & Volume(2) | Area & Volume(2)
  29. Y1 \ 11Angles associated with Parallel Lines
    1. Parallel Lines & Perpendicular Lines 平行線與垂直線
  30. Y1 \ 09 Transformations in Cartesian Plane
    1. Translation 平移變換
    2. Quiz on Transformations in Cartesian Plane 直角坐標變換：測驗
  31. Y1 \ 08 坐標簡介 | Introduction to Coordinates
    1. Introduction to Rectangular Coordinates
  32. Algebra and functions
    1. Prime & Composite Numbers

1.

Number

This strand focuses on different aspects of number, laying the groundwork for the transition from arithmetic to algebra. Learners explore different representations of numbers and the connections between them, as well as the properties and relationships of binary operations. They investigate number patterns, and use ratio and proportionality to solve a variety of problems in numerous contexts. Learners are expected to be able to use calculators appropriately and accurately, as well as to carry out calculations by hand and mentally. They appreciate when it is appropriate to use estimation and approximation, including to check the reasonableness of results.

  • 1. Errors in Measurement 量度的誤差
  • 2. Multiplication of Natural Numbers
  • 3. Digit Value (3 Digits)
  • 4. Identify the Two-Digit Number
  • 5. Make a Two-Digit Number
  • 6. Multiplication tables while having fun
  • 7. Multiplication of Natural Numbers

1.1.

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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2.

!!Homeless

  • 1. Pythagorean triples from complex numbers

2.1.

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3.

N1a Model Operations

a. represent the operations of addition, subtraction, multiplication, and division in ℕ, ℤ, and ℚ using models including the number line, decomposition, and accumulating groups of equal size

  • 1. Skip Counting
  • 2. Copy of How Many? - with grouping

3.1.

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3.2.

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4.

N1b Perform Operations

b. perform the operations of addition, subtraction, multiplication, and division and understand the relationship between these operations and the properties: commutative, associative and distributive in ℕ, ℤ, and ℚ and in ℝ\ℚ , including operating on surds

  • 1. Multiplication of Natural Numbers

4.1.

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5.

N1c Explore given index numbers

c. explore numbers written as ab (in index form) so that they can: I. flexibly translate between whole numbers and index representation of numbers II. use and apply generalisations such as ap aq = ap+q ; (ap)/(aq) = ap–q ; (ap)q = apq ; and n1/2 = √n, for a ∈ ℤ, and p, q, p–q, √n ∈ ℕ and for a, b, √n ∈ ℝ, and p, q ∈ ℚ III. use and apply generalisations such as a0 = 1 ; ap/q = q√ap = (q√a)p ; a–r= 1/(ar); (ab)r = ar br ; and (a/b)r = (ar)/(br), for a, b ∈ ℝ ; p, q ∈ ℤ; and r ∈ ℚ IV. generalise numerical relationships involving operations involving numbers written in index form V. correctly use the order of arithmetic and index operations including the use of brackets

  • 1. Exponential (index) notation

5.1.

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6.

N1d HCF & LCM

d. calculate and interpret factors (including the highest common factor), multiples (including the lowest common multiple), and prime numbers

  • 1. Check if Number is Prime
  • 2. Factoring Trinomials (Leading Coefficient is Prime)
  • 3. Numbers
  • 4. HCF & LCM of Two Numbers by Short Division 以短除法求兩個數的HCF和LCM
  • 5. HCF, LCM smaller integers
  • 6. Meaning of LCM 最小公倍數的意義
  • 7. LCM by Listing Multiples

6.1.

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6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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7.

N1e -decimal places and significant figures

e. present numerical answers to the degree of accuracy specified, for example, correct to the nearest hundred, to two decimal places, or to three significant figures


    This chapter does not contain any resources yet.

8.

N1f Decimal numbers to index form


    This chapter does not contain any resources yet.

9.

Modular Maths

  • 1. Separable Clock
  • 2. 正角、負角|Positive angles & Negative angles

9.1.

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9.2.

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10.

Geometry books

Geometry and trigonometry This strand focuses on analysing characteristics and properties of two- and three-dimensional geometric shapes. Learners use geometry and trigonometry to model and solve problems involving area, length, volume, and angle measure. They develop mathematical arguments about geometric relationships and explore the concept of formal proof, using deduction to establish the validity of certain geometric conjectures and critiquing the arguments of others

  • 1. Rectangle Diagonals
  • 2. Copy of Differents views of a same fraction (D Mentrard)

10.1.

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10.2.

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11.

Y1 \ 02 HCF & LCM

  • 1. Meaning of HCF
  • 2. Finding H.C.F. by Listing Factors
  • 3. Visual LCM
  • 4. The Perpendicular Bisector (and midpoint) of a segment with ruler and compass
  • 5. Copy of HCF, LCM smaller integers

11.1.

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11.2.

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11.3.

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11.4.

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11.5.

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12.

Y1 \ 01 Basic Computation

  • 1. Multiplication Table Quiz
  • 2. Mixed Arithmetic Operations of Positive Integers Quiz
  • 3. Quiz on Arithmetic Operations of Fractions
  • 4. Divisibility by 3
  • 5. Quiz on Divisibility by 2, 3, 4, 5, 6, 8, 9 and 10
  • 6. Quiz on Concept of Power
  • 7. Prime Factorisation of Positive Integers

12.1.

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12.2.

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12.3.

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12.4.

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12.5.

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12.6.

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12.7.

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13.

Y1 \ 03 Directed Numbers


    This chapter does not contain any resources yet.

14.

Y1 \ 04 Introduction to Algebra


    This chapter does not contain any resources yet.

15.

Y1 \ 05 Operation of Polynomials


    This chapter does not contain any resources yet.

16.

Y1 \ 06 Introduction to Geometry


    This chapter does not contain any resources yet.

17.

Y1 \ 07 Transformations and Symmetries


    This chapter does not contain any resources yet.

18.

Y1 \ 08 Introduction to Coordinates


    This chapter does not contain any resources yet.

19.

Y1 \ 09 Cartesian Coordinate &Transformations


    This chapter does not contain any resources yet.

20.

Y1 \ 10 Percentage(1)

  • 1. Fractions & Percentages 分數和百分數
  • 2. Percentage (Part-Whole) 所佔百分數
  • 3. Percentage Change 百分改變
  • 4. Quiz on Percentage Change 百分改變：測驗
  • 5. Quiz on Percentage Profit & Loss 盈虧百分率測驗

20.1.

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20.2.

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20.3.

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20.4.

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20.5.

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21.

Y2 \ 01 Ratios

rdMath [http:][/www.rdmath.com]

  • 1. Concept of Ratios
  • 2. Concept of Ratios-2
  • 3. Ratio & Proportion
  • 4. HCF & LCM of Three Numbers by Short Division

21.1.

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21.2.

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21.3.

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21.4.

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22.

Y2 \ 02 Identities & Factorisation

rdMath [http:][/www.rdmath.com]

  • 1. Equations & Identities

22.1.

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23.

Y2 \ 03 Simultaneous Linear Equations | Simultaneous Linear Equations


    This chapter does not contain any resources yet.

24.

Y2 \ 04 Approximation & Errors | Approximation & Errors


    This chapter does not contain any resources yet.

25.

Y2 \ 05 Angles of Triangles & Polygons | Angles of Triangles & Polygons


    This chapter does not contain any resources yet.

26.

Y2 \ 06 Radicals and Pythagoras Theorem | Surds & Pythagoras Theorem


    This chapter does not contain any resources yet.

27.

Y2 \ 07 Trigonometry | Trigonometry


    This chapter does not contain any resources yet.

28.

Y2 \ 08 Area & Volume(2) | Area & Volume(2)


    This chapter does not contain any resources yet.

29.

Y1 \ 11Angles associated with Parallel Lines

  • 1. Parallel Lines & Perpendicular Lines 平行線與垂直線

29.1.

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30.

Y1 \ 09 Transformations in Cartesian Plane

  • 1. Translation 平移變換
  • 2. Quiz on Transformations in Cartesian Plane 直角坐標變換：測驗

30.1.

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30.2.

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31.

Y1 \ 08 坐標簡介 | Introduction to Coordinates

  • 1. Introduction to Rectangular Coordinates

31.1.

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32.

Algebra and functions

This strand focuses on representing and analysing patterns and relationships found in numbers. Building on their work in the Number strand, learners generalise their observations, expressing, interpreting, and justifying general mathematical statements in words and in symbolic notation. They use the idea of equality to form and interpret equations, and the syntactic rules of algebra to transform expressions and solve equations. Learners explore and analyse the relationships between tables, diagrams, graphs, words, and algebraic expressions as representations of functions.

  • 1. Prime & Composite Numbers

32.1.

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