Lesson explains simplifying firstly using rows of diagrams then using HCF. Worked examples and slides of questions firstly with the HCF provided , then with pupils needing to find the HCF themselves.
Lesson examines solving single variable inequalities using the balancing method. Comparisons made with solving linear equations through side-by-side worked examples. Extends to introduce two inequality signs and to examine what the effect of x-1 is upon inequality signs. Worked examples and question slides include all answers.
Lesson looking at the definitions of algebraic words [term, expression, inequality, equation, identity]. Multiple choice quiz. Work on difference between equation and identity and then question slide. Extends to look at how identities can require expanding brakcets and simplifying to show that two sides are equal.
Lesson reviews how to factorise a quadratic into brackets and then looks at how to use this skill to solve equations. Full worked examples and Question slides. All answers provided.
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.
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.
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 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.
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 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.
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.
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.
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.