Expressions and Formulae 1.1
Expanding brackets in the form
5(a ± 2c) or 3(4x ± 2)
Simplifying Expressions in the form
a+4b−a+6b
Evaluating an expression 4w+6t−3k
Factorising expressions
9c + 27, 6a – 8, x2 -2x
Extending a straightforward number or diagrammatic pattern (1,3,5,7, . . .) and determining its formula
Evaluate the determined formula for a given value
Calculate gradient -
Vertical distance
horizontal distance |
Relationships 1.1
Solving Linear Equations
ax+b=c, ax+b=cx +d
Solving Equations with brackets
a(x + b) = c
Solving Inequations
Draw a graph of y = mx +c
for chosen values of x
Recognise the equation of a straight line
y = mx +c and know the meaning of m and c
Recognise and use y=a, x=b
Change the subject of the formulae:
G=x + a to x
h = nv to n
E=3wk − 3 to w |
Expressions and Formulae 1.2
Calculate circumference & area of a circle
Calculating the area of a parallelogram, kite & trapezium
Investigate the surface area of a prism
Calculate the volume of Cylinders and other prisms
Using rotational symmetry with straightforward linear shapes |
Relationships 1.2
Using Pythagoras Theorem to calculate the hypotenuse and shorter sides if given measurements and coordinates
Enlarge/ reduce shapes given scale factor, including fractional scale factor
Scale Drawings
Combination of angle properties associated with:
- Intersecting and parallel lines
- Triangles and quadrilaterals
Circles: angles in a semi-circle
relationship between tangent and radius |
Expressions and Formulae 1.3
Frequency tables from raw data
Calculate, use and understand Mean, median, mode & range
Pie charts – calculation of sector angles and drawing Pie Charts
Calculation of Probability and Interpret probability in the context of risk |
Relationships 1.3
Tan, Sine and Cosine Ratio
Finding a side
Finding an angle
Using SohCahToa to choose the correct ratio |
