17 beautiful slides of real life formulae to arrange. Students can complete it by themselves or work in groups. Mix of easy and harder equations to rearrange. Took a while to write up, but happy that others can benefit from the quality of it now.
This unit contains full lesson plans and resources to teach the ‘Equations’ unit and is suitable for GCSE Higher Tier students. The lessons are designed for the new GCSE specification.
The pack contains eight detailed lesson plans, each accompanied with student worksheets and other classroom resources that you can use, including suggested support and extension activities for each lesson, as well as a homework activity to accompany the unit and an end-of-unit assessment.
The lessons contained are:
• Solving Linear Equations
• Solving Equations with Brackets
• Setting Up & Solving Equations
• Changing the Subject of a Formula
• Changing the Subject of Harder Formulae
• Proof
• Trial & Improvement
• Iteration
Functional maths type scenario. Students inagine they are working in a butcvhers and need to make labels for roasting joints and meat. This involves reading conversion graphs, creating conversion graphs, developing formula from worded information, rearranging equations for temperature. A bit teacher led, you may like to print notes pages to give to more able students so they can speed ahead. There is a simplified foundation version.
A real-life link lesson introducing the SUVAT equations, meanings of letters, learning to select the correct equation for the question, and rearranging to solve. Uses popular car data to see relevant applications in real-life. Includes a starter on Speed = Distance / Time, diagnostic questions using RAG&White, examples and practice, then Nando's themed differentiated questions (with answers) and a literacy plenary to write to their future selves what mistakes to avoid and to explain in their own words - "metacognition" or something!
Please let me know what you think :)
This is a complete introductory mastery lesson on rearranging formulae using the Singapore bar modelling method. As this is an introductory lesson there are no powers involved in any of the questions.
The lesson includes a starter activity based on solving equations (from AQA's topic tests).
A clear explanation on how to use the bar model to rearrange equations. (Starts with using numbers first and then builds in unknown variables)
Loads of examples given at each step and practice questions for students to attempt.
A mastery worksheet split into 3 sections (fluency, reasoning and problem solving) so students can master the topic.
Answers for the worksheet.
Plenary question getting students to rearrange a real life formula.
If you would like to change the year in the PowerPoint (I have taught this topic to year 10) all you need to do is to view slide master and change the master slide.
If you are just looking for a rearranging formulae worksheet, I have uploaded my worksheet separately, the link for this is below.
https://www.tes.com/teaching-resource/rearranging-formulae-changing-the-subject-no-powers-involved-mastery-worksheet-11701971
A series of projects on rearranging formulas.
(Note: Some of the embedded equations do not display well on the TES preview but they all display perfectly on the downloadable PDFs)
Each project is linked to real life situations, and also includes lots of practice at other KS4 / National 5 Skills: standard form, algebra using brackets, volume formulas, rounding, units, surds.
A series of projects on rearranging formulas.
(Note: Some of the embedded equations do not display well on the TES preview but they all display perfectly on the downloadable PDFs)
Each project is linked to real life situations, and also includes lots of practice at other 9th Grade / 10th Grade Skills: standard form, algebra using brackets, volume formulas, rounding, units, surds .
A 48-page creatively designed worksheet pack on Straight Line Graphs which includes:
• An introductory activity to check that students have the skills required to access this topic. This includes the substitution of values into a linear equation and then plotting the x and y value coordinates onto a graph.
• An investigation sheet, on which students will discover how the value of m and c in the equation y=mx+c affects the line graph.
• An activity where students will draw linear graphs from equations, and find equations from graphs.
• A cut and match activity where students can visually connect equations with real life scenarios.
• Challenge questions where students find gradients and y-intercepts when equations are not in the form y=mx+c, and the identificaion of parallel lines from equations only.
• A confidence checklist for students to assess whether they have grasped what they have learned in this pack.
A US version of this product is available in our US store here where notation is in US form (y=mx+b)
You may also like:
Rearranging Equations Card Game
Understanding and Manipulating Algebra Worksheets
Our five GCSE maths grade 8/9 target packs on Algebra, Graphs, Number, Geometry and Statistics & Probability
Includes the following topics:
Algebra Rearranging Equations, Binomials, Algebraic Fractions, Algebraic Proof, Quadratics with x^2 coefficient greater than one, Quadratic and Geometric Sequences, Quadratic Inequalities, Simultaneous Equations involving Quadratics, Functions and Iterative Methods.
Number Recurring Fractions and Decimals, Surds, Indices, Bounds, Standard Form, Direct and Inverse Proportion, Compound Percentages, Percentage Change, Reverse Percentages.
Geometry Circle Theorems, Equations of a Circle, Congruence and Similarity, Arcs Sectors and Segments, Volume, Invariant Points, Englargement of Volume given Scale Factor, Sin and Cosine Rules, Exact Trigonometric Values, 3D Trigonometry, Vectors.
Graphs Coordinates, Equation of the Circle, Quadratic Graphs, Harder Graphs including Exponential and Cubic Graphs, Trigonometric Graphs, Transformations of Graphs, Gradients in Real Life Graphs, Velocity Time Graphs.
Statistic and Probability Combinations and Permutations, Stratified Sampling, Probability Problem Solving involving Algebra, Tree Diagrams, Conditional Probability, Venn Diagrams including Algebra and Set Notation, Histograms including Finding Averages and Probability from Histograms, Averages Problem Solving.
The topic of Equatons from the GCSE books of the Mathematics Enhancement Program. For information about these resources and an index for the whole collection please visit http://www.mrbartonmaths.com/CIMT.htm
Keywords: Algebra, Formula, Simplify, Identities, Term, Revision, Brackets, Expression, Expand, Factorise, Linear, Quadratic, Common Factors, Order of Operations, BODMAS, BIDMAS, Equation, Solve, Rearrange, Manipulate, Unknown, Trial and Improvement, Factorisation, Quadratic Formula, Algebraic Fractions, Simplify, Simple, Negative, Positive, Root, Solution.
A scaffolded worksheet allowing students to access the equation P=I^2R. They start by calculating the power and move onto rearranging the formula to calculate resistance. They end up having to use the square root to calculate current. All these are set in the context of real life.
(27/11/17) Updated
(All answers are provided)
I've designed this lesson to build up students knowledge of iteration and iterative processes.
It begins with a quick stop clock starter to review skills they should already know and will need to use throughout the lesson.
The it leads to a discussion about what iteration is using real life concepts such as painting a door. This leads into a slide and discussion on the maths definition of what iterative processes are.
Non calculator section
Students shouldn't use a calculator/ ans button for these first questions so they can grasp the concept of iteration by physically doing substituting the previous answer in.
1) There are two basic iteration examples, fully animated, for students to follow through with yourself. 2) This the leads to 3 questions for the students to try for them selves.
Calculator section
Finding x1, x2 and x3
1) Explanation of where to find the ans button on your calculator and how it works. It's useful to get the students to do it on their calculators along with the PowerPoint.
2) 2 examples of iterative process questions that require a calculate.
3) 5 Multiple Choice Questions.
Estimating a solution
1) 2 fully animated examples on estimating a solution to a required number of decimal places.
2) 2 questions for the students to try themselves.
Rearranging to make an iterative formula
1) 3 different example rearrangements of the same formula
2) Odd one out. Students need to spot which iterative formula isn't a rearrangement of the equation.
The resource then in includes a differentiated focused activity which progressively gets harder. This gives students a chance to master and enhance their skills. It includes 5 separate sections a skill 1, 2 & 3 and a stretch. These are all displayed on the same slide for ease of use, however these questions are quite wordy and it may be worth while to print the slide off as a worksheet.
Then to finish there is an application on how this could be seen in an exam situation with exam style questions including answers.
I hope you find this resource as useful as my students have.
Miss B
The following are 5 quizzes created for online teaching through Microsoft Teams. All 5 quizzes are multiple choice, so self marking. The 5 quizzes cover the entire topic of linear functions which are as follow:
Straight Line Graphs; graphing, finding an equation, finding gradient, interpreting equation, rearranging equations (25 questions)
Parallel and Perpendicular Lines (19 questions)
Modelling Linear Functions – Real Life Graphs (14 questions)
Distance and Midpoint (10 questions)
Equations of Perpendicular Bisectors (5 questions)
Full lesson on iteration; includes two hours of teaching time:
Finding the nth term of an iterative sequence
Locating roots by change of sign
Rearranging equations into an iteration formula
Using trial and improvement to estimate a solution
Maths GCSE Higher Tier PowerPoint & ActivInspire Formats included
Take back hours of your time and still deliver an excellent lesson!
Lesson benefits include:
Engage a love of learning by discussion of how topics apply in real life
Set high expectations of presentation with starter slide
Examples clearly written out - can be used as a resource for students who were absent
Mini White Board section to check for understanding - change to a “mini quiz” if no white boards available in classroom
Lessons are scaffolded to reach all learners; gradually increase in difficulty
Solutions for every question
Lesson slides kept simple to prevent cognitive overload
Prices:
• 20 lessons are free (4 from each of the above topics)
• All number lessons can be purchased together for £10. They have been placed in a very large single power point presentation. This is the same for all topics eg, Algebra will cost £10 for all lessons.
• The entire package, all 281 lessons can be purchased for £20.
• A (H) indicates that it is on the higher GCSE only
Please Note it will not allow me to list all 81 lessons with the space given
Algebra 81 Lessons
A1 Algebra - Introduction and Notation
A2 Simplifying Expressions - Collecting Like Terms
A3 Simplifying Expressions – Multiplying
A4 Simplifying Expressions – Dividing
A5 Simplifying Expressions - Algebraic Indices
A6 Substitution into Expressions
A7 Function Machines
A8 Creating and Substitution into Formulae
A9a Rearranging Formulae Carry Over Method
A9b Rearranging Formulae Flowcharts
A10 Expanding Single Brackets
A11 Factorising Expressions
A12 Equations With One Unknown – Flowcharts
A13 Equations With One Unknown – Balancing
A14 Equations With Two Unknowns - Carry Over Method
A15 Equations With Two Unknowns - Balancing Method
A16 Equations - Create and Solve
A17 Inequalities on a Number Line
A18 Solving Inequalities…Listing Integers
A19 Solving Inequalities Like Equations
A20 Sequences - Term To Term
A21 Sequences - Linear Sequences nth term
A22 Coordinates and Midpoints
A23 Gradient of a Straight Line
A24 Straight Line Graphs - Using Table of Values
A25 Straight Line Graphs y = mx + c
Drawing and Naming
A26 Straight Line Graphs y = mx + c
Problem Solve
A27 Straight Line Graphs y = mx + c
Rearranging and Parallel Lines
A28 Real-life Graphs
A29 Velocity-Time Graphs (Straight Lines)
A30 Expanding Double Brackets
A31 Expanding Double Brackets
Area Problems
A32 Factorising Quadratics x2 + 5x + 4
A33 Factorising Quadratics… Difference of Two Squares
A34 Solving Quadratics by Factorising
A35 Drawing Quadratic Graphs
A36 Solving Equations With Quadratic Graphs
A37 Drawing Cubic Graphs
A38 Drawing Reciprocal Graphs
A39 Recognising Graph Shapes…Foundation
A40a Introducing Simultaneous Equations
by Elimination
A40b Introducing Simultaneous Equations
by Substitution
A41 Rearranging Simultaneous Equations
A42 Simultaneous Equations Real-life Problems
A43 Solving Simultaneous Equations by Graphing
A44(H) Solving Quadratic Equations
by Factorising…3x2
A45(H) Quadratic Formula - Solving Quadratics
A46(H) Quadratic Formula - How Many Roots
A47(H) Quadratic Formula - Problem Solve
A48(H) Completing The Square -
Solving Quadratic Equations
A49(H) Completing The Square
Sketching With 4 Key Points
A50(H) Algebraic Fractions – Factorising
A51(H) Algebraic Fractions -
Adding and Subtracting
A52(H) Algebraic Fractions -
Multiplying and Dividing
A53(H) Algebraic Fractions - Solving Equations
A54(H) Algebraic Fractions - Solving Quadratic Equations
A55(H) Simultaneous Equations - Quadratics and Straight Lines
A56(H) Equation of a Circle
Worksheets, activities and lesson plans. The topic of Linear Equations from the Year 7 book of the Mathematics Enhancement Program. For information about these resources and an index for the whole collection please visit http://www.mrbartonmaths.com/CIMT.htm
Keywords: Algebra, Equation, Solve, Unknown, Linear, Formula, Code, Function Machine, Input, Output, Operation, Inverse, Reverse, Process.
GCSE higher, inverse proportion activity/worksheet.
Mathematics, Physics cross-curricular task based on applying the inverse square law to Newton’s laws of gravity.
In this real life application of inverse proportion, pupils will investigate how gravity fields on various planets are inversely proportional to their radius and, subsequently, how they are related to their mass. This is followed by some particularly testing questions to really check pupil’s mathematical, physical and logical reasoning.
Answers and internet links included.
Look at PPT for ideas (not for students).
Show video as large as poss - stick on a loop so it continually replays.
Guide students towards answering 'How much slower is it than real life?' and 'How wrong might I be?'
Use report template to help students get started.
See 'model answer&' for ideas on maths to include.
After they&';ve done reports, maybe get them to mark mine and give helpful feedback (so they actually READ it!)
It worked well with my top set Yr10, but I also got some good mileage out of it with a Yr8 group - they learned that there isn't always &'AN&'; answer to a question.
Here are 130 revision topics that are perfect for quick revision with any class. They consist of a question and then the answer, designed for use in front of a class on mini white boards. It is assumed that that these topics will already have been taught but these allow you to quickly recap these topics, perhaps on the run up to GCSE’s. These can be used with any year group and at any time. Many times I have been teaching a new topic when the students need to recall previous knowledge. Rather than wasting half a lesson recapping, these power points allow you to quickly recap and move on to new learning.
Examples include…
Recap area of 2d shapes before volume of a prism
Reciprocal of a number before dividing fractions
Gradient of a line before y = mx + c
And so many more
There are 20 free sample ones to download and use today. I have also placed these 20 in one power point so you can see what the 129 would look like in one power point.
All 129 Revision Topics available in one power point for £20.
Please leave a review if you use these and enjoy.
Here is the list of topics that I have that are not free to download,Add and Subtract Integers with Negatives
BIDMAS, Bounds - Error Intervals – Truncating, Decimals – Dividing, Decimals – Multiplying,Decimals – Ordering
Dividing Large Numbers, FD% - Converting, Fractions - Adding-Subtracting, Fractions – Dividing, Fractions – Improper, Fractions – Multiplying, Fractions – Ordering, Fractions – Simplifying, Highest Common Factor (HCF), Index Laws – Foundation, Lowest Common Multiple (LCM)
Multiply and Divide by 10 100 and 1000, Multiply and Divide with Negatives, Multiplying Large Numbers,Product of Prime Factors, Reciprocal of a number, Recurring Decimals to Fractions, Rounding to 10-100-1000, Rounding to Decimal Places, Rounding to Significant Figures, Square Root of large and small numbers, Surds - Simplifying Introduction, Surds -Adding and Subtracting, Standard Form, Algebraic Expressions - Collecting like terms, Algebraic Graphs – Recognising, Algebraic Proof, Completing the Square and Turning Points, Co-ordinates in 4 Quadrants, Dividing, Algebraic terms, Equations simple ±x÷, Equations with one unknown, Equations with two unknowns, Expanding Cubic (Triple) Brackets, Expanding Single Brackets, Factorising - Difference of two squares, Factorising - Single Brackets, Factorising and Solving Quadratics 3x2, Factorising and Solving Quadratics, Factorising Quadratics 3x2, Factorising Quadratics x2, Gradient of the perpendicular, Gradient when given two co-ordinates, Inequalities – Graphing, Inequalities - Listing Integers, Inequalities – Solving, Inequalities on a, Number Line, Is the co-ordinate on the line, Midpoint of a line, Multiplying Expressions, Operations to Algebraic Expressions, Quadratic Formula, Quadratics - How many roots, Real Life Graphs - Sketching Graphs, Rearranging formula, Substitution into expressions, Transforming Functions – Graphs,
HERE IS A FULL TOPIC LIST FOR ALL LEVELS (HIGHER AND FOUNDATION) AT GCSE LEVEL FOR CURRENT YEAR 11.
Pupils can assess themselves for each topic using RAG.