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.
Lesson explains why angles on a straight line add up to 180 degrees. Worked examples and questions on finding missing angles. Explanation of why opposite angles are equal. Worked examples and questions on finding missing angles giving reasons. Extends with questions using algebra rather than numerical information.
Starter reviews CF and HCF with integers. Explanation and worked examples of HCF with algebraic expressions. Multiple Choice on HCF of algebraic expressions. Explanation and worked examples on factorising. Multiple Choice on factorising. Differentiated worksheet slide. All answers included.
Lesson prompting pupils to create their own set of loop cards.
Introduction of 1] input output machine 2] one-step and two-step machines 3] Loops
Examples of Loops with one-step and two-step machines.
Lesson aimed at reviewing these skills. Starter - Multiple Choice [converting between mixed and improper, equivalent fractions].
Fractions with the same denominators. 2. Fractions with different denominators 3. Mixed Numbers. Worked examples. Differentiated worksheet slide. All answers included.
Lesson explores solving non-linear equations graphically. Examples look at adding horizontal lines [y=4 etc] and then sloping lines [y=x+2] to solve different problems.
Written for the AQA GCSE topic. Starter looks at solving linear inequalities. Linear Programming definitions explained. Links to drawing inequalities made explicit. Worked examples of writing constraints. Questions. All answers included.
Written for the AQA GCSE topic. Starter looks at identifying inequalities on graphs. Worked examples of maximising objective functions. Worksheet with graph questions to solidify learning. All answers included.
2 lessons to cover the AQA GCSE topic on Linear Programming. The first lesson looks at definitions and writing constraints reviewing writing inequalities. The second lesson looks at maximising objectives and solutions. Worked examples for each skill. Worksheet for solutions lesson. All answers included.
Lesson reviewing lengths and areas involving circles.
Starter involves naming parts of a circle.
Examples and Questions cover circumferences using diameter or radius, area, lengths of arcs, areas of sectors. All topics have worked examples and questions. All answers included.
Using similarity to find areas of 2D shapes and volumes of 3D solids. Starter explores multiplicative relationships. Worked examples and table looking at 2D shapes to find relationship between side scale factor and area scale factor. Similar format extending to volume. Questions on all skills included. All answers included.
Starter looks at separate skills of simplifying numerical fractions and factorising algebraic expressions. Looks first at algebraic fractions which don’t need factorising, worked examples, questions. Then extends to look at fractions requiring factorising (including difference of two squares). Questions on all skills. All answers provided.
Lesson splits skill into 3 parts
A: Fractions with numerical denominators
B: Fractions with single expression denominators
C: Fractions with multiple expression denominators
Worked examples and questions on each skill.
Problem Solving question using vector lengths.
All answers included.
Explores the properties of Quadratic Curves using an algebraic approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Questions on factorising to find roots, finding the line of symmetry and the turning point through substitution. Worked examples and questions on all skills. All answers included.