GCSE Higher Lesson.
Use inverse operations to find inverse functions, using the correct notation.
Starter: Completing input-output machines.
Explanation of inverses using input-output machines. Worked examples, differentiated questions and answers.Worksheet following lesson design. All answers included.
Lesson looking at pyramids. Starter explores nets of a square-based pyramid. Worked examples on Volume, followed by questions. Worked examples of Surface Area followed by questions. All answers included.
Explains the rules for an answer to a suitable degree of accuracy, looks at the possibility of different answers when measurements are described using decimal places vs significant figures. Plenary looks t underestimating vs overestimating.
Lesson looking at solving ratio questions using a structured worded approach [total shares, 1 share etc]. Full examples with 2 part and 3 part ratios. Questions covering 2 part ratios and 3 part ratios. Differentiated worksheet slide. All answers included.
Solving Problems with multiples of pi. Starter matches formulae for formula involving pi. Explanation that using pi is more accurate than decimals/significant figures. Examples of problem solving involving areas of sectors, volumes and surface areas of cylinders and cones. Worked examples for all ideas. Questions and answers included.
10 Resources on Proportion:
7 Lessons (Worked examples, Questions, All answers provided)
What is Proportion?
Ratio and Proportion
Unitary Method
Best Buys
Recipes
Identifying Direct Proportion
Proportion - Real Life Examples
Other Resources
Puzzles (Extended/Problem Solving)
Proportion - Knowledge Organiser
Infinite Questions Proportion Excel Worksheet
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 looking at how we simplify rations which have either decimals or fractions as their component shares.
Starter reviews simplifying and sharing with integer shares. Ratios with decimals looks at multiplying by powers of 10 and then simplifying where appropriate. Ratios with fractions looks at examples with common denominators and with different denominators. Differentiated slides on each topic. All worked examples and question slides include answers.
Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have answers included.
9-1 GCSE lesson.
Starter: Converting from terminating decimals into fractions.
Definitions of terminating, recurring and non-repeating decimals.
How to know if a fraction is a terminating or non-terminating decimal [non-calculator] using prime factors.
How to convert from a recurring decimal to a fraction using algebra.
All ideas have worked examples.
Differentiated slide of questions.
All answers included.
Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.
Examining the language and use of recurrence relationships. Looks at linear then geometric sequences. Worked examples, questions and match-up activities follow. Then extends to include relations with more then one operation or more than one term leading to Fibonnaci-style sequences and Square Numbers. All answers included.
Starter asks pupils to describe number patterns from pictures. Then examining the properties of Linear Sequences from term-to-term rules, pictures, straight line graphs. Examples of how the general rule is used: finding terms, finding positions of terms, seeing if a number belongs in a sequence, finding common terms in two sequences. Worked examples and question slides on each topic. 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.
Looks at how we know what equations to write to solve problems. Starter includes solving equations and substitution. Examples written to trigger a structured method. Full worked examples and questions. Extension slide includes non-linear example, an example where one answer is nonsensical and one example using ratios. All answers included.
Starter looks at adding vectors. Demonstrates how to find the magnitude of a vector using Pythagoras. Explanation of proving vectors are parallel and then if three points are on a straight line (collinear). Worked examples and questions on all skills. All answers included on ppt.
5 lessons covering
Direct Proportion Graphs
Inverse Proportion Graphs
Gradients and Rates of Change
Gradients and Instantaneous Change
Gradients and Average Change
5 lessons covering the Algebraic Proportion Unit:
Proportional Relationships
The Constant of Proportionality
Using Directly Proportional Relationships
Using Inversely Proportional Relationships
Practical problems with Proportional Relationships
Differentiated Codebreaker
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode
Two different sets of questions using the same keycode.
Worksheets prepared with and without keycode to allow for use in classroom or for homework.
Includes;
a) PPT with keycode and all answers
b) Worksheets with
Tasks and keycode
Just tasks to use with PPT keycode