# AllelyUK's Shop

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#### Capture the Squares - Reverse Percentage

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Players draw lines to complete squares. Whoever draws the last line captures the square. The value of each square is hidden but an expression about the value of a percentage is given. Players use reverse percentages to work out the true value and strategise to capture the highest value squares. This activity is good for practicing fluency in a fun and engaging way. All reverse percentages in this worksheet are multiples of 5% and designed to be worked out without a calculator. All answers are integers but the values given are typically decimals so many students may find this quite challenging.

#### 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).

#### 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.

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Like a wordsearch but with fractions. Find a total amount by drawing a horizontal, vertical or diagonal line through 3, 2, 3 or 4 consecutive cells. The worksheet has questions of increasing difficulty (the first numbersearch has only fractions with a denominator of 2, the second has only fractions with denominators of 2, 4 and 8, the third has only denominators of 3, 6 and 9 whilst the last has 2, 3, 4 &amp; 6 making finding a common factor slightly trickier). Everything should be differentiated - with lower ability students able to find the “2 numbers that add together to make” questions whilst higher ability students can tackle the “4 numbers that add together to make” questions.

#### Colour by Fraction, Decimal & Percentage

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Colour each segment of the picture according to the value of the fraction or decimal when converted into a percentage. Suitable for lower ability groups or as light relaxing revision of the topic.

#### Algebraic Substitution - Wheels

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Turn the inner wheel to change the value of variables to substitute into algebraic expressions. Find the wheel setting that results in the highest total value from the expressions. 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 fluency practice for substitution in a visually more novel format. There are a couple of suggested further extension activities for students to consider.

#### 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.

#### Colour by Reverse Percentage

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Use reverse percentage to find the value of 100%. Colour each segment according to the value of 100% (once found). Designed as a novel fluency task for low ability groups or as a light fluency revision activity for slightly more able students. All expressions in this worksheet are percentages that are multiples of 5 to facilitate completion without a calculator. All answer values are integers. All percentages are less than 100%. The image that becomes visible once coloured is a percentage symbol on a mostly white background.

#### Colour by Term in Sequence

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Determine the position of a term in a sequence (given nth value). Colour each segment according to the missing position indicated by the expression. Designed as a fluency activity for lower ability students or as a light revision activity for more able students. The resource uses fractional coefficients (denominator of 2 only - always given as a decimal) but not fractional constants. As such it is more well suited to lower ability students.

#### Codebreaker - Midpoint coordinates

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A codebreaker in the popular format. Students find the midpoint between two co-ordinates (or the end-point of a segment when given the midpoint) and decode to answer the question “what’s shivering at the bottom of the ocean?” (A Nervous Wreck)

#### 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.

#### Wipeout - Big Square Numbers

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Based on the old BBC quiz (with Bob Monkhouse). There are some numbers on the board that are (large) square numbers and others that are not (these answers wipeout). Designed for use as a starter activity or plenary. This particular Wipeout is a good extension for KS3 students who already have secure basic knowledge of what square numbers are. I’ve also included the slides in a “matching cards” format that can be cut out and given to students to sort into “true” or “false” on their desks (or in small groups).

#### 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.