Mathematics (US) 0444

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1. 01

   Recognise real-number families and compare values

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2. 02

   Explain rational and irrational sums and products

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3. 03

   Calculate with signs, fractions, decimals and parentheses

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4. 04

   Use prime factors to find GCF and LCM

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5. 05

   Simplify ratios, share totals and scale proportions

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6. 06

   Convert fractions, decimals, percentages and ratios

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7. 07

   Calculate percentage changes, profit and interest

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8. 08

   Recover an original amount and interpret percentiles

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9. 09

   Use integer exponent laws and explain root exponents

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10. 10

    Convert and calculate in scientific notation

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11. 11

    Calculate fractional powers and solve simple power equations

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12. 12

    Calculate square and cube roots in context

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13. 13

    Simplify radicals and rationalise a denominator

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14. 14

    Choose units and use scale factors consistently

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15. 15

    Calculate prices, change and currency conversions

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16. 16

    Round to an appropriate accuracy and estimate to check

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17. 17

    Convert clocks and calculate time intervals

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18. 18

    Calculate speeds and average a whole journey

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19. 19

    Construct linear equations and justify each step

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20. 20

    Simplify algebraic powers with integer exponents

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21. 21

    Rearrange and evaluate simple formulas

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22. 22

    Solve two linear equations by elimination or substitution

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23. 23

    Identify terms, factors and coefficients

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24. 24

    Expand simple parentheses and collect like terms

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25. 25

    Factorise by taking out a common factor

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26. 26

    Solve and show linear and compound inequalities

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27. 27

    Simplify algebraic expressions with fractional exponents

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28. 28

    Rearrange repeated subjects and establish identities

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29. 29

    Solve and interpret linear systems graphically

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30. 30

    Interpret algebraic structure in a growth model

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31. 31

    Expand two brackets and the square of a binomial

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32. 32

    Factorise quadratics, differences of squares and four terms

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33. 33

    Simplify and calculate algebraic fractions

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34. 34

    Solve quadratics by inspection, factorisation or formula

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35. 35

    Complete the square and interpret a quadratic model

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36. 36

    Model direct and inverse variation with powers and roots

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37. 37

    Solve rational and radical equations without extraneous roots

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38. 38

    Build arithmetic and geometric sequence rules

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39. 39

    Use second differences and derive a finite geometric sum

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40. 40

    Functions, mappings, domain and range

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41. 41

    Draw linear, quadratic and reciprocal graphs from tables

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42. 42

    Read intercepts, signs, symmetry and end behaviour

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43. 43

    Graph cubic, reciprocal-square and exponential functions

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44. 44

    Read amplitude and period from trigonometric graphs

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45. 45

    Model related quantities and choose a meaningful domain

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46. 46

    Compare properties across graphs, tables, rules and descriptions

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47. 47

    Calculate average change and estimate a tangent slope

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48. 48

    Distinguish growth patterns and interpret rescaled time

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49. 49

    Construct linear and exponential models from data

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50. 50

    Compose functions in the stated order

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51. 51

    Reverse an invertible function and exchange domain with range

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52. 52

    Transform f(x) + k, kf(x) and f(x + k)

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53. 53

    Draw the intersection of linear inequality regions

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54. 54

    Define angles, triangles and quadrilaterals precisely

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55. 55

    Recognise prisms, pyramids and curved solids

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56. 56

    Define lines, segments, angles and circles

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57. 57

    Find reflections and rotations that preserve a shape

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58. 58

    Recognise symmetry planes and rotation axes of solids

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59. 59

    Use straight, intersecting and parallel-line angle reasons

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60. 60

    Reason with triangle and polygon interior and exterior angles

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61. 61

    Copy a supplied segment or angle with a compass

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62. 62

    Bisect a segment using equal compass arcs

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63. 63

    Bisect an angle with intersecting equal arcs

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64. 64

    Construct a perpendicular through an on-line or off-line point

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65. 65

    Construct a regular hexagon, triangle and square in a circle

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66. 66

    Construct a triangle's incircle from internal angle bisectors

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67. 67

    Construct a triangle's circumcircle from side bisectors

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68. 68

    Construct both tangents from an external point

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69. 69

    Measure angles and make accurate scale drawings

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70. 70

    Use circle vocabulary, tangent radii and semicircle angles

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71. 71

    Choose the correct arc for center and circumference angles

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72. 72

    Use chord symmetry and equal external tangents

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73. 73

    Match corresponding lengths in similar figures

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74. 74

    Square and cube the length factor for similar areas and volumes

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75. 75

    Recognise congruence and use corresponding sides and angles

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76. 76

    Read directed segments and column-vector components

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77. 77

    Translate every vertex using one column vector

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78. 78

    Reflect in a mirror line using equal perpendicular distances

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79. 79

    Reflect in diagonal mirrors without losing signs

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80. 80

    Rotate about the origin and specify the turn direction

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81. 81

    Rotate around a stated center by shifting the coordinates

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82. 82

    Enlarge or reduce from a center using a stated scale factor

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83. 83

    Find vector components from initial and terminal coordinates

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84. 84

    Use vector letters and calculate a non-negative magnitude

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85. 85

    Add vectors by components and a parallelogram

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86. 86

    Subtract a vector by adding its opposite

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87. 87

    Scale a vector and handle sign and zero

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88. 88

    Use position vectors to locate points and connecting arrows

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89. 89

    Stretch in one direction while keeping an invariant line

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90. 90

    Undo a translation, reflection or rotation

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91. 91

    Invert non-zero scales and recognise a collapse

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92. 92

    Apply transformations in order and reverse an inverse sequence

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93. 93

    Replace suitable compositions by one transformation

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94. 94

    Convert metric lengths, masses and time without mixing quantities

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95. 95

    Convert square units and hectares using area factors

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96. 96

    Convert cubic units and liquid capacity consistently

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97. 97

    Calculate rectangle and triangle areas with perpendicular heights

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98. 98

    Use perpendicular height for parallelograms and trapezoids

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99. 99

    Find compound area and follow only the exposed boundary

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100. 100

     Calculate circumference and area from the correct radius

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101. 101

     Use a degree fraction for arc length and sector area

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102. 102

     Reverse sector data and measure annular sector boundaries

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103. 103

     Calculate prism volume from a constant cross-sectional area

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104. 104

     Add prism faces and remove only the faces that are absent

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105. 105

     Use circular base area for cylinder volume and capacity

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106. 106

     Unroll a cylinder and count its circular ends

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107. 107

     Calculate sphere area and volume with dimensional checks

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108. 108

     Distinguish pyramid volume height from sloping face heights

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109. 109

     Use cone height for volume and slant height for curved area

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110. 110

     Add compound volumes and omit internal joining faces

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111. 111

     Subtract holes from volume and include their exposed walls

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112. 112

     Choose a geometric model and state what it leaves out

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113. 113

     Identify a solid cross section from the cutting plane

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114. 114

     Identify the region and axis before generating a solid

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115. 115

     Interpret density per area or volume and preserve its units

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116. 116

     Compare designs using capacity, material and cost constraints

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117. 117

     Design a page grid with ratios, margins and gutters

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118. 118

     Plot and read ordered pairs using the numbered axes

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119. 119

     Find straight distances using the right triangle in a diagram

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120. 120

     Locate a midpoint by halving both coordinate changes

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121. 121

     Calculate slope and distinguish zero from undefined

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122. 122

     Read y = mx + b and check the intercept cases

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123. 123

     Find a line equation and test it against all given points

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124. 124

     Find parallel lines and distinguish coincident lines

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125. 125

     Use coordinate differences for exact distances without a supplied diagram

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126. 126

     Find polygon perimeters and triangle areas from coordinates

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127. 127

     Divide a directed segment in the stated internal ratio

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128. 128

     Use integer-coefficient line equations and check exceptional cases

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129. 129

     Find perpendicular lines with the correct zero-slope exceptions

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130. 130

     Verify right angles and measures using slopes and distances

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131. 131

     Use Pythagoras and verify the right-angle condition

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132. 132

     Choose sine, cosine and tangent relative to the named angle

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133. 133

     Rearrange a trigonometric ratio to find a side

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134. 134

     Use inverse ratios and check the angle units and range

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135. 135

     Measure bearings clockwise from North and choose the quadrant

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136. 136

     Measure elevation and depression from the horizontal and include eye height

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137. 137

     Derive exact special-angle ratios and handle 0° and 90°

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138. 138

     Use a reference angle and quadrant for a full turn

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139. 139

     Relate complementary angles without swapping the wrong values

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140. 140

     Read sine and cosine graphs, amplitudes and periods

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141. 141

     Read tangent branches and keep the undefined inputs excluded

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142. 142

     Use the sine rule with correctly matched opposite pairs

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143. 143

     Find both SSA angle candidates and validate each triangle

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144. 144

     Distinguish zero, one and two triangles in SSA data

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145. 145

     Use the cosine rule with the included angle and correct sign

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146. 146

     Find an angle from three sides after checking triangle inequalities

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147. 147

     Use two sides and their included angle for triangle area

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148. 148

     Check the area bound and find both possible included angles

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149. 149

     Interpret probability and find the complementary event

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150. 150

     Describe outcomes and “or”, “and” and “not” events

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151. 151

     Design and assess a fair random decision

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152. 152

     Estimate probability from experimental relative frequency

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153. 153

     Compare observed results with a probability model

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154. 154

     Calculate expected occurrences and interpret a fractional count

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155. 155

     Build a possibility diagram and count ordered outcomes

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156. 156

     Read a two-selection tree with replacement

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157. 157

     Update a tree after selection without replacement

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158. 158

     Use a complement for at least one and compare selection rules

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159. 159

     Combine overlapping events without counting the overlap twice

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160. 160

     Multiply marginal probabilities only when events are independent

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161. 161

     Test independence using a two-way frequency table

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162. 162

     Distinguish mutually exclusive events from independent events

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163. 163

     Restrict the sample space when a previous outcome is known

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164. 164

     Track three selections and collect all valid orders

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165. 165

     Use weighted paths to interpret a later outcome

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166. 166

     Recover missing probabilities and retain every valid model

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167. 167

     Read data with its units, population and limitations

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168. 168

     Distinguish discrete counts from continuous measurements

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169. 169

     Read and construct a discrete frequency distribution

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170. 170

     Read component counts and totals in a compound bar chart

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171. 171

     Read individual observations and repeated values in a dot plot

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172. 172

     Read a line graph with correctly spaced time inputs

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173. 173

     Convert frequencies to pie-chart angles and back

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174. 174

     Calculate a mean using every observation and its frequency

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175. 175

     Order data for the median and identify repeated modes

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176. 176

     Interpret range and choose a useful measure of center

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177. 177

     Combine group means using their observation counts

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178. 178

     Find missing values and update a mean after a change

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179. 179

     Plot paired data without mixing the observations

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180. 180

     Describe correlation and avoid a causal conclusion

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181. 181

     Draw a best-fit line through the mean point and use estimates carefully

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182. 182

     Estimate a grouped mean using class midpoints

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183. 183

     Locate a grouped median and modal class without inventing exact values

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184. 184

     Use frequency density for unequal-width histogram classes

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185. 185

     Recover histogram frequencies and missing bar heights

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186. 186

     Accumulate frequencies at the correct class boundaries

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187. 187

     Estimate median, quartiles and interquartile range from a cumulative curve

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188. 188

     Read a percentile or estimate the share beyond a threshold

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189. 189

     Draw and interpret a box plot from its five-number summary

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190. 190

     Compare distributions using center, spread and the question’s context

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191. 191

     Assess extreme observations and the sensitivity of summary statistics

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These checks record your study activity and self-assessment, not a mastery score. Check the course coverage map for available lessons and remaining topics.