Lesson explaining the use of the quadratic formula. Explanation of how to find a,b,c.Step by step worked examples and explanations. Question slides with fully worked answers. Plenary looks at rearranging into appropriate form. ALL answers included.
Starter reviews single inequalities (naming and drawing) and listing integers. Explains how to draw multiple inequalities including sloping lines. Reviews how to draw a straight line. Questions on all skills. All answers included.
Lesson starter includes recognising inequalities with vertical and horizontal lines, plotting inequalities. Lesson explores inequalities including sloping lines first with two inequalities and then with three. Worked examples and questions on each skill. All answers included.
Lesson explores how we graph up to 4 inequalities on a single graph. Starter looks at single variable inequalities. Lesson concentrates on expressions such as -3<x<3 and -2<y<4 before combining them to name and then draw rectangular regions.
Questions on each skill [naming and drawing]. All answers provided.
Reviews naming straight line graphs. Explores naming regions through examining coordinates. Explains how to differentiate between “less than” and “less than or equal to��� using a dashed line. Worked examples and questions on horizontal and vertical lines. Then looks at diagonal lines such as y=x or y=2x+1 wiht worked questions and examples. Differentiated question slide on drawing inequalities (reproduced as word document). 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 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.
Lesson explores definitions and representations of input-output machines. Explores why multiple inputs and outputs are needed to find the rule being used by a machine. Exploration of how to find which rule is being used by exploring the effects of multiplying or dividing consecutive inputs. Worked examples and questions. All answers included.
Starter - Multiple Choice [converting between Mixed and Improper, Equivalent Fractions]. 1. Multiplying Fractions. 2. Multiplying Fractions with cancelling 3. Dividing Fractions. 4] Multiplying and dividing with Mixed Numbers. Worked examples and questions for each skill. All answers included.
Starter: Multiple Choice reviewing improper fractions and mixed numbers and equivalence. All 4 operations explained through worked examples and question slides. Also looks at using Mixed Numbers with all 4 operations. All answers included.