Number 18 continued
Algebra 11
What all should know
Recall known facts, including fraction to decimal conversions.
Round positive numbers to any given power of 10 and decimals to the nearest whole number, 1 or 2 decimal places.
What most should know
Use known facts to derive unknown facts; extend mental methods of calculation, working with decimals, fractions, percentages, factors, powers and roots; solve word problems mentally.
Make and justify estimates and approximations of calculations.
Check results using appropriate methods.
What some should know
Estimate calculations by rounding numbers to one significant figure and multiplying or dividing mentally.
Know the meanings of the words formula and function.
Construct and solve linear equations with integer coefficients (unknown on either or both sides) using appropriate methods (e.g. inverse operations, transforming both sides in the same way).
Begin to use graphs and set up equations to solve simple problems involving direct proportion.
Distinguish the different roles played by letter symbols in equations, identities, formulae and functions.
Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution) using an appropriate method.
Use systematic trial and improvement methods and ICT tools to find approximate solutions of equations such as x3 + x = 20.
Solve problems involving direct proportion using algebraic methods, relating algebraic solutions to graphical representations of the equations; use ICT as appropriate.
Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or a pair of equations to the algebraic solution; consider cases that have no solution or an infinite number of solutions.
