(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

All answers are provided I've designed this lesson to build up students knowledge of rounding to 10, 100 and 1000. It begins with a stopwatch starter where students need to to answer 4 questions based around place value. The lesson follows with two activities involving the number line. a) students have to type on the where the numbers are on the number line/complete the number line. (When in presentation mode, click on the text boxes and type using the key board) b) Students need to explain which nearest 10 to their number and why. Following this we look at the rules of rounding and use a Roundacoaster. Roundacoaster activity Students should answer on on whiteboards what they believe the number rounds to. Then click for the number cart to move. It will either roll back down the hill or go over to the other side. Nearest 10 a) 6 Roundacoasters Examples b) 3 Formal Examples c) Your Turn - 9 progressively harder questions Nearest 100 a) 7 Roundacoasters Examples b) 3 Formal Examples c) Your Turn - 9 progressively harder questions Nearest 10 a) 5 Roundacoasters Examples b) 2 Formal Examples c) Your Turn - 9 progressively harder questions Tarsia Follow Me - mixed loop card activity for rounding to 10, 100 and 1000. Matching activity Then there is an interactive pairing activity where students need to come to the board and select two cards. If they are a matching question and answer then leave them turned over, if not turn them back over and start again. (Snap) 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 4 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

(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

Catchphrase quizzing activity on evaluating harder fractional and negative indices. Answers and catchphrase are provided. (Available in bundle of three catchphrases) 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.

All answers are provided I've designed this lesson to build up students knowledge of evaluating indices. The resource includes activities on Simplifying 2x2x2, Evaluating 2^3, Evaluating index sums 2^3 + 2^4, Power of 0, Reciprocals (Power of -1) and square roots (Power of a half). It begins with a stopwatch starter where students need to to answer 4 questions based around squaring numbers and roots. This then leads to discussion slides over what an index number is. Including identification of the base number and the index number. We then look at the difference between simplifying and evaluating. Simplifying 3 x 3 x 3 x 3 - 2 examples - 4 Mini Whiteboard Questions Evaluating 3^2 and 2^2 + 5^2 - 2 examples - 4 Mini Whiteboard Questions - Bronze, Silver & Gold Your Turn Section on the above two categories. Evaluating power of 0 - 2 examples - 2 Mini Whiteboard Questions Evaluating power of -1 / reciprocal - 2 examples - 3 Mini Whiteboard Questions Evaluating power of a half - 2 examples - 2 Mini Whiteboard Questions - Bronze, Silver & Gold Your Turn Section on power of -1 and power of a half. The resource then includes a discussion slide on the pattern of indices. work through powers of 3, 2, 1, 0, -1, -2. This will then be a nice link into harder indices lessons. 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: skills 1, 2 & 3 and a stretch 1 & 2. These are all displayed on the same slide for ease of use, however could be printed as a worksheet. Then to finish there is an application on how this could be seen in an exam situation with several exam style questions including answers. I hope you find this resource as useful as my students have. Any of the the slides could be printed as worksheets if you feel that would be easier for your class. Miss B

(All answers are provided) I've designed this resource to allow students to explore negative numbers from the basics. It begins with a brief look at where negative numbers are used in real life. This then leads to looking at the number line and finding missing numbers and rules. Students then need to identify if a number is less than, equal to or more than another number or sum. I've then created an interactive game where the students can come to the board and pop the bubbles in the correct order. (The bubbles move after a few seconds when in presentation mode). This then lists the order underneath. If a bubble is missed out there is a gap left and a discussion can be had about which number they missed and why etc.. There is then a written activity to be completed of order lists of numbers. Students then start to look at temperature and the differences between negative and positive numbers. This leads into an activity on the difference of temperatures between different capital cities. Then to finish there is an application on how this could be seen in an exam situation including answers. I hope you find this resource as useful as my students have. Miss B

I've designed this resource to allow students to discover through the trigonometric ratio's the exact trig values they now need to remember for their GCSE examinations. Afterwards there is a quick memory technique I use with students to help them quickly find the trig value in an exam situation. The resource then in includes a catch phrase activity where the students have to state either the trig values, ratios or key facts about the trig ratios. The answers are on the slide that follow it. Then to finish there is an application on how this could be seen in an exam situation including answers. I hope you find this resource as useful as my current year 10 and 11 students have. Miss B

This is a 10 question quiz and 1 tie breaker question. The questions are all based around order of operations (BIDMAS / BODMAS) and start simple with no brackets, then with brackets and then insert the brackets. Every slide has two questions on, one for team 1 and another for team 2. Each question has 3 possible answers. Click the answer the team has chosen for it to highlight green if correct or red if incorrect. This allows you to open the question up to the other team to steal the point if you wish. I've design it so both teams have similar questions with different numbers at the same time to help prevent any students from being sat there not doing anything. I often ask all students to write their answer for their teams question on a whiteboard and take the majority answer from the team. This again means every student is participating. Each slide also has a star timer at the top. Each star represents 10 seconds and they gradually disappear. I hope you enjoy the quiz Miss B

This is a 10 question quiz and 1 tie breaker question. The questions are all based around expanding single brackets and start simple at 2(x+3) and progress to 3(x+4)-2(x-5). Every slide has two questions on, one for team 1 and another for team 2. Each question has 3 possible answers. Click the answer the team has chosen for it to highlight green if correct or red if incorrect. This allows you to open the question up to the other team to steal the point if you wish. I've design it so both teams have similar questions with different numbers at the same time to help prevent any students from being sat there not doing anything. I often ask all students to write their answer for their teams question on a whiteboard and take the majority answer from the team. This again means every student is participating. Each slide also has a star timer at the top. Each star represents 10 seconds and they gradually disappear. I hope you enjoy the quiz Miss B

Updated 22nd September 2017 (All answers are provided) I've designed this resource to allow students to start to understand substitution from the basics upwards. It begins with a stopwatch starter asking students to simplify basic algebraic expressions. This leads to a restaurant menu activity and a class discussion about how they intrinsically know how to substitute to find the total cost. I've found it's important to look at the language of mathematics to help students understanding. I find a perfect activity for this topic is connections, here students have to make links related to substitution and the words on the page, I've provided an example and then some possible answers for this. This means moving forward I can use mathematical language, such as variable, and be sure the students understand it's meaning. Afterwards there is a quick true or false activity with the answers, you could do this as a mini whiteboard activity, class discussion, group task or silent focus. I personally use this with whiteboards and hammer out the misconceptions. It is a good tool in getting the students to practise providing explanations and reasons verbally for their answers. I've then modelled 4 different examples of varying ability and these appear step by step and include examples with negative numbers. There is then a catchphrase quiz activity which I find useful to hammer out any misconceptions the students may have. (The answers or on the next slide for this, some teachers may find it useful to jot these down or print that slide before completing the interactive activity). The catchphrase is bad hair day. 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 4 separate sections a skill 1 & 2 and a stretch 1 & 2. These are all displayed on the same slide for ease of use. (Answers are provided) Then to finish there is an application on how this could be seen in an exam situation including answers. I hope you find this resource as useful as my students have. Miss B

Updated 13th September (All answers are provided) I’ve designed this Lesson to allow students to explore multiplying and dividing negative numbers building up from the basic pictorial through the use of counters and coming to identifying quicker methods/ rules. This then leads to 6 basic examples of mutliplication questions such as -2 x 3 and -2 x -3. The examples are broken into to groups of 2 and are each followed by four questions for students to try. Answers are given with full pictorial and written solutions. This leads to a class discussion on quicker methods now that they why is understood. Student have the pictorial to fall back on if they get stuck. There is then a similar structure for division of negative numbers. A true or false activity to be used as a discussion point over the generalisation of how rules work. There is a Bingo quiz activity which can be used to help stop misconceptions before the main differentiated activity. 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 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 including answers. I hope you find this resource as useful as my students have. Miss B Bonus Materials There is an extra challenge slide of an multiplication grid of negative numbers. There is also a mixed challenge activity to be used with students once they have learnt how to add, subtract, multiply and divide negative numbers. I have attached printable versions of the grid I use throughout the slides. I often laminate them for the students to do the examples with me in lessons)

Catchphrase quizzing strategy on multiplying and dividing negative numbers. (Available in bundle of three catchphrases) 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.

Catchphrase quizzing strategy on expanding single 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.

(All answers are provided) I've designed this lesson to build up students knowledge of simplifying algebraic expressions by collecting like terms. It begins with a stock take scenario after a robbery and students having to find an expression for the value of missing items to give to the police. This is built up slowly with having to categorise the items not taken, think about quicker ways they could do this and then look at the difference between two stock takes of the items. This then leads into a discussion of the definitions a variable, term and expression. Leading to a discussion opportunity as to whether some expressions displayed on the board could be written differently. There is then a true false activity to discuss and hammer out algebraic notation misconceptions. Leading to 8 different examples of increasing difficulty fully modelled (Delete as appropriate for the class level) After each pair of examples there are two miniature whiteboard questions (16 mini white board questions in total) This then leads to an interactive board game where the students have to come to the board or work in teams to select the expressions which simplify to make a certain expression. There is then a tarsia activity attached. 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 and 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 including answers. I hope you find this resource as useful as my students have. Miss B