Virtual Textbook Resource Resource description input output mappings Given the function and the input, find the output. Given the input and output, find the mapping. Given the nth term create the sequence and vice versa. Positive and negative linear sequences. Given a multiplier, create a sequence. Investigate the second difference. Quadratic sequences either create given the nth term or find the nth term. Excel - Number sequences 1 Quickly generate linear sequences. Good to use as a starter with whiteboards Substituting into Expressions Substitute with positive and negative numbers into expressions Substitute with positive and negative numbers into expressions with brackets and squares. Substitution grids Substitution grids with a range of expressions including using negative numbers Substitute into expressions with brackets, squares and cubes. Identify what happens when you square and cube negative numbers. Simple substitution into formulae for perimeter and area of a square, surface area of a cube and perimeter of a rectangle. Algebra pyramids 1 Collect like terms in the pyramids Algebra pyramids 2 Collect like terms in the pyramids Algebra pyramids 3 Collect like terms in the pyramids Simplify expressions by multiplying together. Expand and factorise with a single bracket. Collect like terms with single letters. Expand double brackets Expand double brackets using the grid method. Questions with positive and negative numbers. Can also be used in reverse for factorising. Double Bracket Factorisation Factorise quadratics with positives and negatives Solve equations 1 Solve equations of the form ax+b=c. Use flowcharts to solve problems with fractions and brackets. Solve equations with negative and fractional answers. Solve equations with unknowns on both sides. Solve equations break it up Solve equations by splitting up to find equal parts. Equation Solver Unknown on One Side Solve equations by balancing method Equation Solver Unknown on Both Sides Solve equations by balancing method Equation Solver Unknown on Both Sides 2 Solve equations by balancing method Trial and improvement Solve equations by trial and improvement. Involves equations with squares, cubes and roots Simultaneous Equations Solve simple equations such as x+y=n and x-y=n. Solve simultaneous equations using the same, subtract, substitute method when you always eliminate the x first. Simultaneous Equation Solver Solve simultaneous equations by elimination Solve quadratics Solve quadratics that factorise into a single bracket, double bracket and the difference of two squares. Rules of indices Simplify expressions by multiplying, dividing and with brackets Inverse Proportion Calculate the value of k and the formula when y is inversely proportional to x and x squared Equation of a straight line Tables of value and graphs for lines x=n and y=n. Find the coordinates for equations y=x+c, y=mx and y=mx+c, or given the coordinates identify the equation. Given a pair of coordinates, calculate the gradient and the equation of the line. Linear Graphs Find the equation of a straight line by identifying the gradient and intercept. Integer and fractional gradients Regions Creates graphs and inequalities for students to identify the correct region. Graphical simultaneous equations Creates multiple straight lines for pupils to solve by looking at intersecting points. Graphical Solution of equations Identify which straight line you must draw to intersect the curve to solve a quadratic equation. Identifying graphs Use the graph drawn to identify the equation of the graph. Graphs in the form y=mx+c, y=x square and y=x cubed. Quadratic and cubic graphs Input numbers into tables of values for x squared, x cubed and 1/x. The graphs will be drawn as the numbers are input. Also table for quadratic graph. Trig Graphs Identify equations of trigonometric graphs by looking at how the graph has been transformed Distance time graphs A 3 stage distance time graph is displayed for question and answer session with a class. A 5 stage journey graph is also available.