Intermediate 2 Unit 1 1.1   Significant Figures 1.2   Volume of Solids 1.3  Percentages 1.4  Linear relationships 1.5  Alg...
Intermediate 2  -  Unit 1 1.1  Significant Figures <ul><li>By the end of this topic you should be able to… </li></ul><ul><...
Intermediate  -  Unit 1 1.2  Volume of Solids  <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>F...
Intermediate  -  Unit 1 1.3  Percentages <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>carry o...
Intermediate 1  -  Unit 1 1.4  Linear relationships <ul><li>By the end of this topic you should be able to… </li></ul><ul>...
Intermediate 1  -  Unit 1 1.5  Algebraic Operations <ul><li>By the end of this topic you should be able to… </li></ul><ul>...
Intermediate  -  Unit 1 1.6 Circles  <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>Find the le...
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Int 2 Unit 1 Intro

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Int 2 Unit 1 Intro

  1. 1. Intermediate 2 Unit 1 1.1 Significant Figures 1.2 Volume of Solids 1.3 Percentages 1.4 Linear relationships 1.5 Algebraic Operations 1.6 Circles
  2. 2. Intermediate 2 - Unit 1 1.1 Significant Figures <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>Identify significant figures within a number </li></ul><ul><li>Round a number to 2 or 3 significant figures </li></ul><ul><li>Identify a real life example of significant figures </li></ul>
  3. 3. Intermediate - Unit 1 1.2 Volume of Solids <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>Find the volume of spheres, cones and prisms (mainly cylinders) </li></ul><ul><li>Round volume calculations to a required number of significant figures </li></ul><ul><li>Apply Volume calculations in a real life context </li></ul>
  4. 4. Intermediate - Unit 1 1.3 Percentages <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>carry out calculations involving percentages in </li></ul><ul><li>appropriate contexts: appreciation/depreciation </li></ul><ul><li>(One of the examples of appreciation should be compound interest.) </li></ul><ul><li>Apply percentage calculations in real life situations </li></ul>
  5. 5. Intermediate 1 - Unit 1 1.4 Linear relationships <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>find the gradient of a straight line between two </li></ul><ul><li>points ( x 1, y 1) and ( x 2, y 2) </li></ul><ul><li>know that in the equation y = ax + b of a straight line, ‘ a ’ represents the gradient and ‘ b ’ represents the intercept on the y -axis </li></ul><ul><li>use this to sketch </li></ul><ul><li>the line without drawing accurately </li></ul><ul><li>determine the equation of a straight line in the </li></ul><ul><li>form y = ax + b from its graph </li></ul>
  6. 6. Intermediate 1 - Unit 1 1.5 Algebraic Operations <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>Multiply algebraic operations involving brackets </li></ul><ul><li>eg x ( x + 2 y ) = x 2 + 2 xy </li></ul><ul><li>eg (3 x + 5)( x - 1)= 3 x 2 + 2 x – 5 </li></ul><ul><li>eg (x + 2 )(x 2 – 3 x + 1 ) = x 3 – x 2 – 5 x + 2 [A/B] </li></ul><ul><li>Factorise algebraic expressions </li></ul><ul><li>common factor eg x 2 + 3 x = x ( x + 3) </li></ul><ul><li>difference of two squares eg x 2 – y 2 = ( x + y )( x – y ) </li></ul><ul><li>with numerical coefficients >1 </li></ul><ul><li>eg 4 x 2 – 9 y 2 = (2 x – 3 y )(2 x + 3 y ) [A/B] </li></ul><ul><li>Factorise trinomial expressions </li></ul><ul><li>eg x 2 + x – 6 = ( x + 3)( x – 2) </li></ul><ul><li>eg 2 x 2 – 5 x – 3 = (2 x + 1)( x – 3) [A/B] </li></ul><ul><li>3 x 4 + 5 x 2 – 2 = (3 x 2 – 1)( x 2 + 2) [A/B] </li></ul>
  7. 7. Intermediate - Unit 1 1.6 Circles <ul><li>By the end of this topic you should be able to… </li></ul><ul><li>Find the length of an arc of a circle </li></ul><ul><li>Find the area of a sector of a circle </li></ul><ul><li>Use the properties of circles, relationship between tangent and radius </li></ul><ul><li>angle in a semi-circle </li></ul><ul><li>the interdependence of the centre, bisector of a chord and a perpendicular to a chord [A/B] </li></ul><ul><li>Apply Circle calculations in a real life context </li></ul>

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