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Form and Solve Quadratic Equations

Form and Solve Quadratic Equations

Students learn how to form and solve quadratic equations from geometry problems. Problems include finding the area of a rectangle with algebraic lengths to setting up an equation from similar shapes. The start of the lesson recaps finding the area of composite shapes with algebraic lengths as this is needed throughout the lesson. The plenary challenges students to derive and solve a quadratic equation from the surface area of a cuboid. Differentiated Learning Objectives All students should be able to form a quadratic equation from a rectilinear area. Most students should be able to use geometrical facts to set up and solve a quadratic equation when a = 1. Some students should be able to form and solve a quadratic equation from geometrical facts.
Mr_Mathematics
Changing the Subject

Changing the Subject

This is 2 lessons on changing the subject of a formula (the first lesson was observed and rated Outstanding). It was designed to introduce high ability year 8's to this skill, but the lesson could be used with anyone! The second lesson requires additional resources, but this is explained in the teacher notes.
DrLGF
Linear Graph Introduction

Linear Graph Introduction

The first lesson of the topic. Introducing Linear Graphs and y=mx+c for a high ability year 8 class. Sheets can be complied into a booklet to created a scaffold-ed resource to be used throughout the lesson. PowerPoint creates opportunities for AfL through the use of MWB. Each question has a timer attached to it that can be activated by clicking in presentation mode.
bfielding1
Exit Ticket - Using Formulae

Exit Ticket - Using Formulae

I give this to the students (printed in A4 or A5 depending on how much room they need) at the end of the lesson to assess an overview of the lesson. I mark it as soon as I can (ha) and it allows me to spot any misconceptions. The last question is a challenge one to push the most able students.
brodieburton
Personalised Polynomials (Lagrangian interpolation)

Personalised Polynomials (Lagrangian interpolation)

A presentation made for my year 10's on personalised polynomials. Builds from equation between 2 points to equation of curve between 3 points. Doesn't go beyond this to n points. To create their names in polynomials just use your favourite online interpolater (I like wolframs https://www.wolframalpha.com/input/?i=interpolating+polynomial+%7B1,10%7D,%7B2,3%7D,%7B4,7%7D,%7B8,0%7D&lk=3 )
cmlk20
Areas of 2D Shapes: BODMAS, and Algebra Problem Solving

Areas of 2D Shapes: BODMAS, and Algebra Problem Solving

7 page pdf booklet. Reminders of the rules (along with shape diagrams with dimensions) for obtaining the areas of squares, rectangles, triangles, rhombuses, parallelograms, and trapeziums are provided. There are 10 questions asking students to find missing areas, heights and widths using number values required for substitution into formulae provided for such 2D shapes. Three example algebraic problems are then reviewed and full workings (with reminders about BODMAS) provided: 1) Substitution of an x value into length and width expressions to find a missing area of a rectangle; 2) Finding the value of x given an area value for a rectangle, and length and width in terms of x; 3) Finding the value of x and a width given expressions in x for opposite lengths in a rectangle as well as its value of area. These examples are followed by another 10 questions for more able students requiring substitution of algebraic terms into such area formulae as per the 3 examples provided.
biggles1230
Words into Expressions (Treasure Hunt)

Words into Expressions (Treasure Hunt)

This activity gives students practice at interpreting worded descriptions and converting them into algebraic expressions. Click --> https://tes.com/.../Treasure Hunts for similar style Treasure Hunts on more than 30 other topics. -- Note that unlike most Treasure Hunts, this one has the added feature that the answers give an encrypted clue. Deciphering this clue reveals where the treasure is hidden! A Treasure Hunt is a great activity which children love. They are ideal for revision, starters or plenaries. They are a really great way to get students to answer questions quickly and enjoy doing so. These question cards have been prepared in two sizes. The large cards can be pinned around around the classroom and used for a whole class activity; the smaller (loop cards) can be used for group work or by individuals – they are particularly helpful for one-to-one tutorials and during interventions.
Maths4Everyone