Background+Knowledge+SL


 * Background Knowledge**


 * **Content** || **Skills** || **Assessment Ideas** || **GDC Approaches** || **Web 2.0** ||
 * **Number**
 * classifying numbers
 * laws of exponents
 * properties of surds
 * scientific notation
 * absolute value || * classify numbers as natural, integer, rational and irrational
 * use the laws of exponents to simplify expressions
 * simplify expressions containing surds
 * perform operations on surds
 * express numbers using scientific notation
 * define absolute value as a distance from the origin ||  ||   ||   ||
 * **Algebra**
 * equations
 * inequalities
 * simultaneous equations
 * algebraic expressions
 * factorizing and expanding
 * rational expressions
 * linear functions || * solve equations in one variable including those with rational coefficients
 * solve linear inequalities and express solutions to inequalities on a number line, using interval notation and using set notation.
 * find and interpret the solution to a pair of simultaneous equations
 * change the subject of a formula
 * manipulate simple algebraic expressions involving factoring and expanding
 * perform operations with rational expressions
 * determine the equation of a line given a point and slope or two points
 * write down the slope and y-intercept of a line ||  ||   ||   ||
 * **Geometry**
 * similarity and congruence
 * Cartesian plane
 * Pythagorean theorem
 * distance and midpoint
 * perimeter and area
 * right triangle trigonometry
 * bearings || * review the terms similarity and congruence
 * determine the relationship between area and volume of similar figures
 * review the terms associated with circles - arc, chord, tangent, sector, segment, area and circumference
 * review applications involving the perimeter and area of plane figures - triangles, parallelograms, rhombuses, rectangles, squares, kites and trapezoids
 * solve problems using right angled trigonometry
 * apply compass directions and bearings to problems in trigonometry ||  ||   ||   ||
 * **Discrete**
 * sets and set notation
 * Venn diagrams || * define the following terms as they pertain to sets - universal, empty, equality, disjoint, subsets, and complement
 * Use a Venn diagram to establish union and intersection of sets ||  ||   ||   ||