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Solving and Interpreting Quadratics

Solving and Interpreting Quadratics

Solving and interpreting quadratics. Looks at the link between factorising, solutions, completed sqaure and graphical represenations of Quadratics. Link to interactive plotted quadratics with key points such as solutions and turning points.
Soulby
Radian measure introduction - length, area and angle of sectors using ratios

Radian measure introduction - length, area and angle of sectors using ratios

This is a worksheet on radian measure introduction, involving length, area and angle of sectors. Finding solution using ratios and proportions (which can be used to prove the usual formulas for area and length of sectors). I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at our website link on the worksheets
joezhou
Maths Questions to challenge

Maths Questions to challenge

A selection of maths questions to challenge upper KS2 and KS3 pupils. They cover word problems looking at car millage and cost. Venn diagram, decimals to fractions with a defined number to use, Volumes in a cube, making an equation work for you and simultaneous equations to solve a puzzle grid.
colin959
Composite Function, Inverse Function, Modulus Function and Piecewise Function Worksheets Bundle 2

Composite Function, Inverse Function, Modulus Function and Piecewise Function Worksheets Bundle 2

These are four worksheets for learning about piecewise defined functions. These worksheets should compliment our previous functions worksheets bundle. The worksheet covers questions (all functions can be piecewise) on composite, modulus and inverse functions. Detailed solutions with graph of piecewise functions are provided to each questions I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at [] ().
joezhou
Algebra: Sequences / Series BIG Bundle (10 lessons) inc. loads of resources

Algebra: Sequences / Series BIG Bundle (10 lessons) inc. loads of resources

This is a big bundle on sequences that includes everything needed for your GCSE classes and AS Level work on arithmetic and geometric series. 1. Introduction to Linear Sequences 2. Linear Sequences in Diagrams/Patterns 3. Quadratic Sequences 4. Cubic, Exponential and Other sequences 5. Fibonacci Sequence / Golden ratio and Spiral 6. Arithmetic Series 7. Sum of Arithmetic Series 8. Geometric Series 9. Sum of Geometric Series 10. Sum of infinite Series This is also available as a GCSE bundle only if that is your preference. NOTE: Feel free to browse my shop for more free and premium resources! Also if you do purchase then please RATE and FEEDBACK on any comments good or bad, thank you.
ajf43
FULL LESSON FOUNDATION GCSE: STARTER EQUATIONS (LETTERS BOTH SIDES)

FULL LESSON FOUNDATION GCSE: STARTER EQUATIONS (LETTERS BOTH SIDES)

The first lesson for low ability KS3 or 4 students where we introduce them to solving equations of the type 2x + 3 = x + 9. The powerpoint is animated and uses the classic balance pan approach or a more dynamic “zapping” approach. The fully differentiated resource goes from 1 star (diagrams drawn for students and they simply scribble over the x counters and number counters) through to 3 star where students will attempt to solve using only manipulation. The resource is printed so that students can write on, thus saving time. Note that answers are not included and that there are no negative x terms in the equation (that would be next lesson). A lesson checkout is included where students can be quizzed on what they have done in the lesson.
Weltmeister7
Relationships (between equations, graphs, sequences etc.)

Relationships (between equations, graphs, sequences etc.)

This is a great, open ended, rich maths task which encourages students to understand connections - relationships - between many areas of maths. Here is… a number machine, algebra, graph, sentence, sequence and input/output table for students to investigate… and hopefully come to the conclusion that all represent the same relationship in different ways. I’ve tried this a few times with Yr7, 8, 9 students and, although they start off slow and I keep my own input to a minimum, they usually get there and appreciate it all the more after a while. If the class is really struggling then you could use the suggestions for ways to investigate which are on slide 4. To extend this rich, open task students could create their own set of cards. The file ‘Relationships’ is the main activity and the ‘LessonPlan’ goes with this. I suggest print out the main page for pairs of students as well as projecting from of class. A subsequent activity / lesson could be students to complete the number machine, table, sentence and graph from the algebra. The file ‘Relationships2’ are the resources that you’ll need for this with the file ‘LessonPlan2’ as the lesson plan. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf files as well as the original powerpoint and word files for easy editing.
grahamcolman
Solving Equations Game

Solving Equations Game

Pupils earn points by solving the equations. Easier questions earn less points so pupils self-differentiate and decide their own level of difficulty for themselves (although the teacher should check that they do this sensibly of course!). Pupils with most points after a given time period win a prize. The competitive nature of this activity encourages pupils to push themselves more than they would usually and I’m always pleasantly surprised at what equations they can do here. Answers to the equations are included. as well as an easier version (v3) with no negative answers. Tried and tested in the classroom many times. This download includes a files as well as the original word files for easy editing.
grahamcolman