Lesson looks at using surds with within questions such as finding areas and perimeters of shapes. Finding missing sides in right-angled triangles. Finding surface areas and volumes. Worked examples. All answers included.
Lesson explores rationalising involving single expression denominators, denominators with the surd multiplied by a coefficient and the use of a conjugate where the denominator expression requires the difference of two squares method to remove the square root. All skills are demonstrated by worked examples and differentiated question slides are included. Exam style questions included. All answers included.
Lesson exploring expanding single brackets involving surds. Then looks at expanding two brackets, including a single bracket squared. All explanations include worked examples and all question slides include answers.
Exploring solving Simultaneous Equations where one equation is non-linear [quadratic]. Examples include factorising the quadratic, solving the quadratic with the formula, making the equations eqaul to each other rather than substituting. Full worked examples of all skills. Question slide broken into skills. All answers included.
Lesson focuses on the elimination method to solve simultaneous equations. Explanation of simultaneous equations, elimination ideas. Lesson covers a) same coefficients same signs, b) same coefficients different signs, c) different coefficients. Worked examples and questions on each skill. Plenary looks at worded questions. All answers included.
Explores using substitution to solve simultaneous equations when
at least one coefficient is 1
when none of the coefficients is 1.
Starter looks at rearranging
Worked examples and questions on all ideas.
All answers included.
Drawing and describing inequalities using number lines. Examples of single and multiple inequalities are explored. Questions include both naming and drawing inequalities. All answers included.
Using the balance method to solve
1. One-step equations
2. Two-step equations
3. Equations with Brackets
4. Equations with unknowns on both sides
5. Equations with unknowns on both sides where both sides are fractions
Negative and non-integer examples.
Worked examples of all skills.
Questions on all skills.
All answers provided.
"If the ratio of boys to girls in a class is 3:5 and there are 8 more girls, how many pupils are in the class?"
Lesson explaining the concept in different ways [bar-model approach and words]. Fully worked examples. Questions on each style of response. All answers included.
Lesson looking at conventions of naming straight lines and angles. Starter examines pupils understanding of types of angles.
Fully worked examples and questions to consolidate and demonstrate understanding.
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
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 reviews expressions through multiple choice questions. Explains the grid method for multiplication, first with numbers and then using algebra. Uses the idea of the grid method to expand single brackets using FL method [First Last]. Expanding Brackets Bingo. All ideas have worked examples, questions and all answers included.
Lesson explores how to move from writing expressions in words to using letters and how this move helps to write formulae and equations. How to write simple expressions using letters. How to simplify expressions using letters. How to write two step problems and the importance of units being consistent [£ and p]. Full worked examples, questions and all answers included.
Lesson looks first at the difference between regular and irregular polygons. The angle sum for polygons is then explored. Explanation of how to find the interior angle of a regular polygon, worked examples and questions. Then how to find the exterior angles of regular polygons. Worked examples and questions. All answers included.
Lesson explains why angles in a quadrilateral add up to 360 degrees by splitting the shapes into 2 triangles .
Worked examples and questions on finding missing angles. Extends with questions including right angles exterior angles and opposite angles.
Lesson explains how to find the angle sum for different polygons by splitting each into triangles.A table of angle sums for different polygons is then used. Worked examples and then questions on finding missing angles in different polygons.
Lesson explains how an input-output machine creates outputs from inputs. Different representations are presented and explained. One-step, two-step and three-step machines are explored. Worked examples and questions on all ideas. All answers included.
Lesson exploring how to find the inputs for a function machine given the outputs. Explores the different representations of input-output machines. Explains the idea of inverse operations and how to use these to reverse a function machine. Worked examples and questions on one-step, two-step and three-step machines. All answers included.