Virtual Textbook Resource |
Resource description |
| 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.
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| Quickly generate linear sequences. Good to use as a starter with whiteboards | |
| Substitute with positive and negative numbers into expressions | |
Substitute with positive and negative numbers into expressions with brackets and squares.
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| 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.
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Simple substitution into formulae for perimeter and area of a square, surface area of a cube and perimeter of a rectangle. |
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| Collect like terms in the pyramids | |
| Collect like terms in the pyramids | |
| Collect like terms in the pyramids | |
Simplify expressions by multiplying together. Expand and factorise with a single bracket. Collect like terms with single letters.
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Expand double brackets using the grid method. Questions with positive and negative numbers. Can also be used in reverse for factorising. |
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| Factorise quadratics with positives and negatives | |
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. |
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| Solve equations by splitting up to find equal parts. | |
| Solve equations by balancing method | |
| Solve equations by balancing method | |
| Solve equations by balancing method | |
| Solve equations by trial and improvement. Involves equations with squares, cubes and roots | |
| 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. | |
| Solve simultaneous equations by elimination | |
Solve quadratics that factorise into a single bracket, double bracket and the difference of two squares. |
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Simplify expressions by multiplying, dividing and with brackets |
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| Calculate the value of k and the formula when y is inversely proportional to x and x squared | |
| 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. | |
| Find the equation of a straight line by identifying the gradient and intercept. Integer and fractional gradients | |
| Creates graphs and inequalities for students to identify the correct region. | |
| Creates multiple straight lines for pupils to solve by looking at intersecting points. | |
| Identify which straight line you must draw to intersect the curve to solve a quadratic equation. | |
| 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. | |
| 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. | |
| Identify equations of trigonometric graphs by looking at how the graph has been transformed | |
| A 3 stage distance time graph is displayed for question and answer session with a class. A 5 stage journey graph is also available. | |