# AllelyUK's Shop

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Shade (or don’t shade) the segments of the image based on whether the expression within evaluates to a positive or a negative number (directed number). This resource also contains a second hidden hidden activity - shade the segments where the absolute value of the expression within is less than 20 to reveal a second (different) image). Expressions are a mixture of addition, subtraction, multiplication and division.

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An enlargment (with centre) worksheet. When enlarged the pieces form a “Space Invader”. All co-ordinates are in the first quadrant. There are a couple of negative unit enlargements. The Geogebra file is included - however - should you wish to move everything to straddle the x &amp; y axis.

#### Codebreaker - Ordering Directed Numbers

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A codebreaker in the popular format based around ordering positive and negative numbers (directed numbers). Answering the questions and decoding provides the punchline to a bad joke (it was a freebie). I’ve found plenty of other codebreakers online for directed numbers but none specifically on the foundational skill of ordering them so hopefully this is of use to someone out there. There’s plenty of discerning understanding of place value (including decimals) with directed numbers and one question that involves fractions.

#### Wheels - Linear Equations between points

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Turn the inner wheel to change the combinations of co-ordinates. Each combination of co-ordinates can be used to determine the equation of a straight line. Find the wheel setting that results in three straight lines that intersect at a single point. I’ve made the resource twice - once designed to be just printed and once where the inner wheels can be cut out and pinned to the outer wheels using paper fasteners (solutions can be found in the “cutting version”) My main motivation in making this resource was to present a rich problem solving activity for the topic in a visually novel format. There are a couple of extension questions for high ability students to consider.

#### Grid Fit - Evaluating Terms of Sequences

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Fit the numbers and labels into the grid to form 6 different arithmetic sequences that satisfy the labels. This is designed as a problem solving task for students who have been taught how to evaluate whether a given value is a term within a sequence.

#### Codebreaker - Evaluating Terms of Sequences

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A codebreaker in the popular format. Students should evaluate the first/last term in a sequence to be greater than/less than a given amount etc. to decode the answer to a bad joke (I can’t put my book down because it’s about anti-gravity) I had found plenty of other codebreakers on similar topics but not one specifically focused on evaluating terms so hopefully this is of use to people!

#### Capture the Squares Trigonometry

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A series of ‘capture the squares’ games where the square value is the missing angle ABC. Angle ABC can often be determined by sketching the triangles and examining the sketch but it is intended that students use trigonometric ratios - specifically the task is intended to provide fluency work using the tangent ratio - to find the missing angle. Can be used to consolidate learning or as bell work.

#### Codebreaker - Prime Factorisation

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A codebreaker in the popular format. Students should convert numbers into prime factor index form to decode the answer to a bad joke (I no longer hate facial hair because it grew on me). I had found plenty of other codebreakers on similar topics but not one specifically on prime factorisation so hopefully this is of use.

#### Linear Equations Maze

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Solve linear equations to find your way through mazes. Move horizontally or vertically into cells that solve to give the same value of ‘x’. Worksheets start very easy and move on to slightly harder sheets with negative values of ‘x’. It’s anticipated that many students will use basic substitution to solve these mazes. If you intend to discourage this then be clear about expectations about what working out should be shown. A natural (but slightly dull) extension activity is to ask students who quickly find the correct path to solve all of the cells in the maze. I would personally ask “which equation solves for the highest/lowest value of ‘x’” as this is a task that’s slightly more engaging.

#### Capture the Squares - Averages

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Capture the squares is a game intended for 2-3 players. Each takes turns drawing a horizontal or vertical line. When the fourth line around a square is drawn on the page, the player who placed that line takes the square. The maths twist is that the squares have different values. Players must solve the expression inside the square to find the value. In this case the value of squares is found by calculating the average of 3-5 values. Worksheets escalate in difficulty. Starting with positive &amp; negative integers and then moving through 1/2 fractions and then onto fractions/decimals as small as 1/4 increments.

#### Capture the Squares - Coins

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Capture the squares is a game intended for 2-3 players. Each takes turns drawing a horizontal or vertical line. When the fourth line around a square is drawn on the page, the player who placed that line takes the square. Each square on this worksheet is a coin.

#### Coins search

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Like a word search - but with coins. Find a total amount by drawing a horizontal, vertical or diagonal line through 3, 4, 5 or 6 consecutive cells. The worksheet has questions of increasing difficulty and includes a set of possible solutions (there are other options for some of the questions). Also includes a PowerPoint that has the solutions highlighted on it.

#### Colour by Volume of Cylinders

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Colour each segment of the image according to the volume of the cylinder described within. Particularly designed for students who struggle to engage with traditional worksheets but approrpriate for any students seeking light revision.

#### Capture the Squares Ratio Simplification

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A series of ‘capture the squares’ games where the square value is the missing number in a ratio to simplify. Can be used to consolidate learning or as bell work. Games start basic but later ones build to include three part ratios.

#### Multiplication Mazes

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Move from square to square - only if the equation within is true. Find the path through from the top left hand corner to the bottom right. Incorrect equations are mostly the result of misconceptions in implementing grid method (although some are misconceptions from column method).

#### Colour by Distance Between Co-Ordinates

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Each segment contains two co-ordinate pairs. Work out the distance between the two using Pythagoras’ theorem and colour the segment according to this distance. The resource does allow for co-ordinates in all 4 quadrants and may therefore challenge foundation level students but all triangles are Pythagorean triples with integer value lengths for the hypotenuse.

#### Right Angled Triangles Mazes

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Use Pythagoras’ theorem to verify whether 3 lengths can form a right angled triangle. Move through each maze from cell to cell - only if the cell contains lengths that would form a right angled triangle. Labelling conventions of sides used are random (c is not always the hypotenuse). Incorrect cells are designed to highlight common misconceptions in the application of Pythagoras’ theorem.

#### Capture the Squares Distance Between Co-Ordinates

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A couple of ‘capture the squares’ games where the square value is the distance between the two co-ordinates within the square (to be calculated using Pythagoras’ theorem). Can be used to consolidate learning or as bell work. Both games feature co-ordinates in all 4 quadrants. The first game has only integer co-ordinates and basic Pythagorean triple triangles. The second game still uses only basic Pythagorean triples but some are scaled to half or 3/2 and some of the co-ordinates may be decimal.

#### Colour by Number of Factors

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Colour each segment of the picture according to how many factors the number contained within the segment has. Suitable for lower ability groups or as light relaxing revision of the topic.

#### Capture the Squares Percentage of Amount

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Capture the squares is a game intended for 2-3 players. Each takes turns drawing a horizontal or vertical line. When the fourth line around a square is drawn on the page, the player who placed that line takes the square. Within each square there is a percentage of amount expression. The result of this expression is the value of the square taken (not all squares are of equal value). The percentage of amounts in this particular game are designed to be calculated using a calculator. All amounts are integer but percentages are decimals. Percentages greater than 100% are included. All answers are decimals.