# AllelyUK's Shop

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#### 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.

#### Midpoint coordinates Mazes

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Move from square to square - only if the co-ordinates correctly indicate the midpoint of a line segment. Find the path through from the top left hand corner to the bottom right. Incorrect midpoints are designed to highlight several popular misconceptions (e.g. calculating the average within the co-ordinates for A to get the ‘x’ co-ordinate for the midpoint and within the co-ordinates for B to get the ‘y’ co-ordinate for the midpoint, ignoring negative numbers when calculating the average, calculating the difference between the start and end co-ordinates but not adding this to the starting co-ordinates etc.) The first maze only features co-ordinates in the first quadrant but subsequent mazes feature co-ordinates in all 4 quadrants.

#### Capture the Squares - Midpoints

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Players draw lines to complete squares. Whoever draws the last line captures the square. Each square contains co-ordinates for start &amp; end points of a line segment and the co-ordinates of a midpoint. One ordinate value is missing. The value of each square is the value of the missing number. This activity is good for practicing fluency in a fun and engaging way. The first worksheet includes only positive integers for the end points (midpoints can include a half). The second includes some negative integers. The third includes some negative fractional values for the co-ordinates of the start and end points.

#### Capture the Squares Surds

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A series of ‘capture the squares’ games where the square value is the integer ‘n’ when the surd has been converted into the form ‘n root 2’ or ‘n root 3’ Can be used to consolidate learning or as bell work. For both root 2 and root 3 there are two games. One has just mulitplication of surds and the other has addition, division and multiplication of surds by integers.

#### Collecting Like Terms - Algebra-search

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A “wordsearch” that operates by collecting like terms. A series of expressions are given and the students must find a line (horizontal, vertical or diagonal) that simplifies to that expression when like terms are collected. The resource includes a series of progressively more difficult grids to figure out.

#### Enlargement - Space Invader

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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.

#### Shade by Directed Numbers

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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.

#### 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.

#### 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).

#### 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.

#### 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!