Resources
Solving a Quadratic Equation in Sin(x)
The mathematical solution explains how to solve the equation: 6 cos2x +7sinx = 8 for x between 0 and 4π radians. The equation is rearranged to make the equation 6 cos2x +7sinx - 8 = 0 then the identity sin2 x + cos...
Solving a Quadratic Inequality
The mathematical solution explains how to solve the quadratic inequality 3x[sup]2[/sup] – 10x ≥ 8 by forming, and finding the roots of, the quadratic equation 3x[sup]2[/sup] – 10x - 8 = 0. This equation is solved by factorisation. The curve y = 3x[sup]2[/sup] – 10x - 8 is then sketched and the regions of x for...
Solving Equations
Produced by the Learning and Skills Improvement Service (LSIS), these resources are aimed at mathematics practitioners.
In this resource, sessions look at:
• Solving simple equations (encouraging reasoning rather than 'answer getting')
• Rearranging simple equations (encouraging reasoning...
Solving Equations Inquiry
This resource from Inquiry Maths contains a simple prompt which leads to a rich task exploring the nature of linear equations.
Solving equations inquiry and the Lesson notes outline the prompt for students to explore and suggests a number of supplementary enquiries. The...
Solving Equations Involving the Modulus function, Composite Functions and Examining the Range of a Function
This question is made up of four parts. Students are required to sketch the graph of a modular function, find where this function intersect a line, find the value of a composite function and find the range of a quadratic function.
The mathematical solution explains how to sketch the modular function...
Solving linear equations in one variable
This resource develops the concept of solving equations where the unknown appears once or more than once.
This lesson develops solving linear equations in one variable with rational number coefficients. Additionally, collecting terms, expanding expressions, and categorising linear equations according to the...
Solving maths problems
This resource focusses on developing understanding of the use of addition and subtraction to balance a model see-saw. In this activity learners will improve their addition and subtraction skills through a practical approach. They will use a model of a see-saw to balance a range of numbers. Learners will decide how...
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Solving Problems Using Newton's Second Law O3
In this resource, from the Department for Education Standards Unit, students will learn to understand how Newton’s second law can be applied to a range of different problems. It will encourage learners to link the stages of solutions together and appreciate the purpose and relevance of each stage of a solution....