Algebra-Assessments

Title (Assessment)Summary of contentCalculator requiredPrintable Answer sheet
Identifying, Forming and Re-arranging Equations Assessment (F)- Expression, Equation, Identity and Formula
- Forming expressions
- Set up simple equations
- Re-arranging equations
- Derive Formula
- Change the subject of a simple Formula
Identifying, Forming and Re-arranging Equations Assessment (H)- Expression, Equation, Identity and Formula
- Forming expressions,
- Set up simple equations
- Re-arranging equationsDerive Formula
- Change the subject of a simple Formula
Simplifying Expressions Assessment- Simplifying like terms and algebraic expressions
Simplifying Algebraic Fractions Assessment- Simplifying algebraic Fractions
Expanding and Factorising Single Brackets Assessment- Expanding (multiplying) and Factorising with single brackets
Expanding & Factorising Double Brackets Assessment- Expanding 2 brackets
- Factorising quadratics into two brackets
Solving 1 Step Linear Equations Assessment- Solving Simple 1 step Equations which may include brackets, negatives and fractions
Solving Equations with Brackets Assessment- Solving eqations with brackets
Solving 2 Step Linear Equations Assessment- Solving 2 step Equations which may include brackets, negatives and fractions
Solving Linear Equations Assessment- Solving Lineaer Equations with a mixture of 1 step, 2 step, brackets, etc
Solving Double Sided Linear Equations Assessment- Solving Equations with unknown on both sides, which may include brackets, negatives and Fractions
Solving Linear Equations with Fractions Assessment- Solving Equations with unknown on both sides, which may include brackets, negatives and will involve Fractions
Solving Linear Simultaneous Equations Assessment- Use elimination to solve simultaneous Equations
Solving Quadratic Equations by Completing the Square Assessment- Solving quadratic Equations by completing the square
Solving Quadratic Equations by Factorising Assessment- Solving quadratic Equations by Factorising
Solving Quadratic Equations using any method Assessment- Solving quadratic Equations by any method
Solving Quadratic Equations by the Formula Assessment- Solving quadratic Equations by using the Formula
Substitution Assessment (F)- Substitute Numbers into Formula
Substitution Assessment (H)- Substitute Numbers into Formula
Solving Linear Inequalities Assessment (F)- Solve simple inequalities with one variable
- Show the solution to an inequality on a number line
Solving Linear Inequalities Assessment (H)- Solve simple inequalities with one variable
- Show the solution to an inequality on a number line
- Show the solution to several inequalities with two variables on a graph
Trial and Improvement Assessment- Use Trial and Improvement to find approximate solutions of Equations
Nth Term Assessment- Generate number sequences from diagrams & describe a rule of a sequence
- Find a particular in a sequence or explain why number is not in a sequence
- Find the nth term expression for a sequence
- Use the nth terms to find a number in the sequence
Sequences (F) Assessment- Generate number sequences from diagrams & describe a rule of a sequence
- Find a particular in a sequence or explain why number is not in a sequence
- Find the nth term expression for a sequence
- Use the nth terms to find a number in the sequence
Sequences (H) Assessment- Generate number sequences from diagrams & describe a rule of a sequence
- Find a particular in a sequence or explain why number is not in a sequence
- Find the nth term expression for a sequence
- Use the nth terms to find a number in the sequence
Quadratic Nth Term Assessment- Find a particular in a sequence or explain why number is not in a sequence
- Find the nth term expression for a sequence
- Use the nth terms to find a number in the sequence
Co-ordinates Assessment- Use axes and coordinates, both positive and negative in 2D & 3D
- Understand and plot points in four quadrants
- Find the coordinates of a point
- Plot a point given the coordinates, in 2D or 3D
Midpoints and Lengths of Lines Assessment- Find the mid-point of a line
- Calculate the length of a line using coordinates
Plotting Line Graphs Assessment- Plot straight line graphs from their equations
- Plot and draw a graph of an equation in the form y= mx + c
Equations of Lines (F) Assessment- Find the gradient of a straight line graph
- Find the gradient of a straight line graph from its equation
- Understanding of gradient 'm' and y intercept 'c'
Equations of Lines (H) Assessment- Understand how the gradients of parallel and perpendicular lines are related
- Understand that if the gradient of a graph in the form y = mx + c is m, then the gradient of a line perpendicular to it will be -1/m,
- Generate equations of a line parallel or perpendicular to a straight line graph
Simultaneous Equations (one linear & one quadratic) Assessment- Find the intersection of a linear and a quadratic graph to find (approximate) solutions to simultaneous equations
- Solve simultaneous equations (one linear, one quadratic in one variable) by elimination
Graphs of Quadratic Functions Assessment- Generate points and plot graphs for quadratic functions
- Find (approximate) solutions to a quadratic equation from the graph of its function
- Find (approximate) solutions to simultaneous equations, one quadratic and one linear from the intersections of their graphs
Harder graphs Assessment- Solve simultaneous equations where one equation is of the form x² + y² = r²
- Plot, sketch or recognise graphs of cubic functions, y 1/x
- Plot, sketch or recognise graphs of y sin x and y cos x from -360° to +360°
Equations of Circles and Tangents Assessment- Construct the graphs of simple loci including the circle, x² + y² = r²
- Find the points of intersection of a circle and a straight line
- Apply understanding of loci to construct graphs based on circles and perpendicular lines
Transformation of functions Assessment- Interpret information on linear and non-linear graphs
- Apply to the graph of y = f(x) the following transformations: y = f(x) + a, y = f(ax), y = f(x + a), y = af(x)
- Analyse transformations of functions and write them algebraically
Iteration- to be able to complete Iterations
Function Machines- to be able to Use function machines
Rates of Change Assessment- to be able to calculate and work with rates of change
Proofs Assessment- using algebra to show statements can be proved
Functions Assessment- using functions to give outcomes, and to find an inverse of a function