Whole-school quadratics graphs resources

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Expanding Brackets Lesson Bundle

Expanding Brackets Lesson Bundle

This bundle includes three whole lessons Including: 1) Expanding Single Brackets 2) Expanding Double Brackets 3) Expanding Triple Brackets Each resource includes; - Answers -starter activities -Fully modelled examples -Differentiated questions -Challenges -Quizzing activities to help with misconceptions -Examination style questions -Minimal Printing -Plus lots more teaching resources

By MissBsResources

Expanding Double Brackets Full lesson & Answers, Quizzes, Differentiated Worksheet & Exam Questions

Expanding Double Brackets Full lesson & Answers, Quizzes, Differentiated Worksheet & Exam Questions

(All answers are provided) I've designed this lesson to build up students knowledge of expanding double brackets. It begins with a stopwatch starter where students need to to answer four simplifying and expanding algebraic expression questions. This then leads to discussion over methods you could use to answer numerical questions such as (2+3)(1+2). Then there is a product and sum activity. (3 questions where students need to find the product and sum and 3 questions where students have to work backwards from being given the product and sum) I'm very much aware that there are several different common approaches to teaching expanding brackets. I've included examples for each of the following methods. I know the method I teach sometimes varies on the class I am teaching. Feel free to swap the order and delete the examples you don't want, I felt it was important to give options though. Form x^2+bx+c 1) Algebra tiles - Explanation slides of how to multiply with algebra tiles, 3 progressively harder expanding bracket examples with algebra tiles and 5 mini whiteboard questions with both written and algebra tile solutions. (These 5 whiteboard questions can be used even if not teaching with algebra tile approach) 2) Grid Method - 3 progressively harder examples 3)FOIL/Half moon - 3 progressively harder examples 4 questions for students to try in book. Form ax^2+bx+c 1) Algebra tiles - 2 progressively harder expanding bracket examples with algebra tiles and 2 mini whiteboard questions with both written and algebra tile solutions. (These whiteboard questions can be used even if not teaching with algebra tile approach) 2) Grid Method - 2 progressively harder examples 3)FOIL/Half moon - 2 progressively harder examples 4 questions for students to try in book. This then leads to two tick or trash questions, where the students need to select which person has answered the question correctly and discuss what the misconception of the other person was. There is then a n interactive wheel of fortune quizzing activity where students can come to the board. Spin the wheel, click the section it lands on, answer the question and total their points. 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 and a stretch 1 & 2. These are all displayed on the same slide for ease of use. Then to finish there is an application on how this could be seen in an exam situation with 2 exam style questions including answers. I hope you find this resource as useful as my students have. Miss B

By MissBsResources

Catchphrase - Expanding Brackets Quiz Bundle

Catchphrase - Expanding Brackets Quiz Bundle

Answers and catchphrases are provided. This activity includes 3 catchphrase activities for: 1) Expanding Single Brackets 2) Expanding Double Brackets 3) Expanding Triple Brackets I sometimes change the image below to a picture of famous person to add more variation to the game. Students either as individuals or small groups answers questions to reveal part of an image. The more questions the students answer the more of the image is revealed. The winner is the person who manages to say what they see and guess the catch phrase. I’ve included the answer to each catchphrase in the notes box, as well as answers on the second page.

By MissBsResources

Catchphrase - Expanding Double Brackets Quiz with Answers Quadratic Expressions

Catchphrase - Expanding Double Brackets Quiz with Answers Quadratic Expressions

Catchphrase quizzing strategy on expanding double brackets. (Available in bundle of three catchphrases) Answers and catchphrase provided. I sometimes change the image below to a picture of famous person to add more variation to the game. Students either as individuals or small groups answers questions to reveal part of an image. The more questions the students answer the more of the image is revealed. The winner is the person who manages to say what they see and guess the catch phrase. I’ve included the answer to each catchphrase in the notes box, as well as answers on the second page.

By MissBsResources

Quadratic Skills Problem Solving Task

Quadratic Skills Problem Solving Task

A big A3 sheet that links up all the different things you can do with quadratics including: - Finding the Equation - Finding the y-intercept - Finding the shape - Discriminant - Factorisation - Roots - Completing the Square - Max/Min - Sketch And linking them all to one another in different ways. It is quite tough in places, but very satisfying to solve.

By Chritsopher

Quadratic Areas Puzzle

Quadratic Areas Puzzle

A puzzle linking areas of rectangles with the factorisation of quadratic polynomials designed to develop fluency and problem solving skills.

By Chritsopher

Plotting and drawing quadratic graphs - 2 worksheets and a homework

Plotting and drawing quadratic graphs - 2 worksheets and a homework

These printable resources are ideal for getting students to practise working out coordinates for quadratic functions and drawing their graphs. Partially completed tables and graph paper are provided for each question. The first worksheet contains 10 questions all of the form y=x^2+ax+b. The homework contains 5 questions all of the form y=x^2+ax+b. The second worksheet contains 8 questions, some of the form y=x^2+ax+b and some are y=ax^2+bx+c where a is larger than 1. All solutions are included to print or project for your class to check their tables and graphs.

By langy74

Worksheet to introduce the method for completing the square

Worksheet to introduce the method for completing the square

I have used this 4-page worksheet with my classes to get them to understand the process of completing the square on expressions of the form x^2+ax+b. The worksheet takes them through the following stages: 1. Practise expanding and simplifying (x+p)^2 2. Practise expanding and simplifying (x+p)^2+q 3. Practise writing x^2+ax+b in the form (x+p)^2+q My classes have usually had a good understanding of how completing the square works after finishing this worksheet and are ready to practise using it to solve quadratic equations.

By langy74

Algebra 2 Quadaratics

Algebra 2 Quadaratics

40 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to: Given three points (which may or may not include roots and/or the vertex), write the quadratic function that contains those points, with and without technology. The points may be provided from: A table A graph A verbal description Write a quadratic function when given a variety of attributes, including: Vertex Focus Directrix Axis of symmetry Direction of opening The attributes may be found from: A table A graph A verbal description Create other representations of quadratic functions when given a verbal description, equation, graph, or table. Identify attributes of a parabola, when given in the form , with focus at (h, k+c) and directrix at y = k – c, where c represents the distance from the vertex to the focus and directrix. Identify the direction the parabola opens, and the y-intercept of the graph from the equation in standard form: f(

By mrsdivadan

9th grade Math - Quadratic Equations

9th grade Math - Quadratic Equations

Quadratic Equations - 23 15 day full lessons on Quadratic Equations, include worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to *apply the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. *write quadratic functions when given real solutions and graphs of their related equations. *describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions. *solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

By mrsdivadan

9th grade math - Quadratic Functions

9th grade math - Quadratic Functions

15 day full lessons on Quadratic Functions, include worksheets, activities, smart notebook files, ppt, assessments, test and answer key The students will be able to process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. The student is expected to determine the domain and range of quadratic functions and represent the domain and range using inequalities. The student will be able to to write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), [and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c)]. The student will be able to formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. The student will be able to apply the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student will be able to evaluate functions, expressed in function notation, given one or more elements in their domains.

By mrsdivadan