GCSE Higher Lesson.
Understand how to factorise expressions into a single bracket.
Starter: Common factors, expanding single brackets.
Find Four activity on common factors of algebraic expressions. Multiple choice questions on HCF of algebraic expressions.
Worked examples on factorising into a single bracket, differentiated questions and answers. Practical problems.
Worksheet following lesson design. All answers included.
Solving bearings-style questions using Sine and Cosine Rules. Starter looks at recognising which rule to use. Worked examples. Question slide and worked answers
GCSE 9-1 Higher lesson: Recaps y=mx+c and looks at finding parallel lines, rearranging equations into y=mx+c, fining equations of parallel lines through a fixed point.
9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.
9-1 GCSE lesson covering square, cube, triangular numbers, Fibonacci sequence and connections between them. Includes 10 investigative questions on square and cube numbers [answers included].
9-1 GCSE lesson. Explains perpendicular thorough diagrams and then through algebra. Includes questions examining the gradient of perpendicular lines and questions finding perpendicular lines through a specific point.
Lesson covering displaying ratios as bar-models. Sharing using a ratio into two parts or three parts. Includes differentiated questions. All answers included.
Lesson looking at finding missing angles on a straight line.
Starter looks at sums to 180, and simple equations to 180. Explanation of why 360 degrees in a circle and thus why 180 on a straight line. Examples finding missing angles with numbers and then with algebra. All examples and question slides include fully-worked answers
Lesson exploring the use of letters with function machines to describe a relationship. Reviews two-step function machines to find outputs and then introduces the ideas of using letters as the inputs. Looks at what the expression looks like if the output is a letter or if both are letters. Worked examples, questions and all answers included.
Lesson looks at angle properties of isosceles triangles and asks missing angle questions. Moves to look at rhombus, parallelogram, isosceles trapezium and kite and asks missing angle questions. Then finding missing angles in a more complicated diagram. All answers included.
Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. All answers included.
Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.
Lesson looks at the differences between arithmetic and geometric sequences through the them to term rule. Explains using a term to term rule to find the next terms. The General Rule is then explored. How to find terms from the General Rule is explained. All ideas also have question slides and all answers are included.
Explores connection between exponential graphs and geometric series in the starter. The shape of exponential functions is explored and the common features. Plotting these graphs is demonstrated. Questions based on two coordinates are explained. Questions and answers included.
Starter looks at multiplicative relationships to use for calculating Scale factors. Similarity of shapes explained. Worked examples of finding missing lengths in triangles and quadrilaterals given. Questions reinforcing learning. All answers included.