ILLUSION CONFUSION! - MEASURING LINES -
|
|
- Darcy Fowler
- 5 years ago
- Views:
Transcription
1 ILLUSION CONFUSION! - MEASURING LINES - WHAT TO DO: 1. Look at the line drawings below. 2. Without using a ruler, which long upright or vertical line looks the longest or do they look the same length? SOME THINGS YOU COULD INVESTIGATE: 1. Use a ruler to measure the actual length of both long vertical lines. 2. Why not try to re-draw the illusion in a different way to see what happens? For example, you could change the length of one or both of the vertical lines; change the size and angles of the wings or arrow-fins at either end of the lines; and change the distance between the two vertical lines. Remember to only change one thing at a time to make it a fair test. 3. What do you think is going on? 1
2 ILLUSION CONFUSION! - COMPARING CORNERS - WHAT TO DO: 1. Look at the two thick dark corner lines in the drawing below. 2. Without using a ruler, which thick dark line looks the longest or do they look the same length? SOME THINGS YOU COULD INVESTIGATE: 1. Use a ruler to measure the actual length of both dark corner lines. 2. Why not try to re-draw the illusion in a different way to see what happens? For example, you could change the length of one or both of the thick dark lines; change the position of one or both of the thick dark lines on the grid ; or change the other lines of the grid itself in some way. Remember to only change one thing at a time to make it a fair test. 3. What do you think is going on? 2
3 ILLUSION CONFUSION! - CURIOUS CURVES - WHAT TO DO: 1. Look at the two arcs or curves drawn below. 1. Without using a ruler, which curve looks the longest or do they look the same length? SOME THINGS YOU COULD INVESTIGATE: 1. Use a ruler to measure the actual size of both curves. Better still, why not copy and cut out the two curves and compare them against each other that way? 2. Using cut-out copies of the curves, what is the effect of directly swapping around their positions, with the white curve now beneath the grey curve? 3. Using cut-out copies of the curves, what is the effect of changing the position of one curve to the other in other ways, such as moving the curves further apart or have one curve bending one way and the other the opposite way back to back? 4. Why not try to re-draw one or both curves a different size or with a different bend to see the effect? 5. What do you think is going on? 3
4 ILLUSION CONFUSION! - MEASURING SQUARES - WHAT TO DO: 1. Look at the square patterns below. 2. Without using a ruler, which black square looks the largest or do they look the same size? SOME THINGS YOU COULD INVESTIGATE: 1. Use a ruler to measure the actual size of both black squares. 2. Why not try to re-draw the illusion in a different way to see what happens? For example, you could change the size of one or both of the black squares; change the size of one or both sets of the white squares; draw the white squares not touching the black squares; change the distance between the two groups of squares; and change the squares to other shapes. Remember to only change one thing at a time to make it a fair test. 3. What do you think is going on? 4
5 ILLUSION CONFUSION! - MEASURING CIRCLES - WHAT TO DO: 1. Look at the circle patterns below. 2. Without using a ruler, which white circle looks the largest or do they look the same size? SOME THINGS YOU COULD INVESTIGATE: 1. Use a ruler to measure the actual size of both white circles. 2. Why not try to re-draw the illusion in a different way to see what happens? For example, you could change the size of one or both of the white circles; change the size of one or both sets of the black circles; draw the white circles at a different distance from the black circles; change the distance between the two groups of circles; and change the circles to other shapes. Remember to only change one thing at a time to make it a fair test. 3. What do you think is going on? 5
6 ILLUSION CONFUSION! - MEASURING BLOCKS - WHAT TO DO: 1. Look at the flat tops of the rectangular blocks draw in 3-D below. 2. Without using a ruler, which flat top looks the widest, which looks the longest or do they look all the same? SOME THINGS YOU COULD INVESTIGATE: 1. Use a ruler to measure the actual size of each flat top. 2. Maybe try to draw a similar illusion for yourself, without actually measuring the distances. First draw one of the blocks and then try to draw the other so that both flat tops look the same shape and size. Remember not to measure any of the distances as you draw the blocks. Once you ve drawn the two blocks, only then use a ruler to measure whether you drew them the same size and shape or not. 3. Why not try to re-draw the shape of the blocks in a different way to see what happens? For example, you could draw them to look thinner or thicker, or just draw the two tops so that they look like thin sheets rather than blocks. Remember to only change one thing at a time to make it a fair test. 4. What do you think is going on? 6
7 BRAIN STRETCHERS 1! 1. A man has to get a fox, a chicken and a sack of corn across a river. He has a small rowing boat but it can only carry him and one other thing. If the fox and the chicken are left alone together, the fox will eat the chicken. If the chicken and the corn are left together, the chicken will eat the corn. How does the man get them all across the river? CLUE: Remember that the boat can carry things both ways across the river 2. Two children and one adult need to get across a river. They have a boat but the boat can only carry one adult OR two children. How do they all get across? CLUE: Remember that the boat can carry things both ways across the river 3. If today is Monday, what is the day after the day before the day before tomorrow? CLUE: It might be easier to work through the sentence backwards a break it into segments 4. A shop bought a painting for 70, sold it for 80, bought it back for 90, and sold it again for 100. How much profit did the shopkeeper make? CLUE: Start off with some money in the till, say, If 2 hours ago it was as long after one o clock in the afternoon as it was before one o clock in the morning, what time would it be now? CLUE: As long after as it was before is the same as saying halfway between. 6. Mr. & Mrs. Plum have six daughters and each daughter has one brother. How many people are in the plum family? CLUE: Not as many as you might at first think. 7
8 BRAIN STRETCHERS 1! ANSWERS 1. Man carries chicken across, man leaves chicken and comes back; man then carries fox across, man leaves fox and carries chicken back; man leaves chicken and carries corn across, man leaves fox and corn together and goes back to fetch the chicken. 2. Both children row over together; one child rows the boat back again; that child gets out of the boat and lets the adult row over; adult gets out and lets other child row back again to pick up the remaining child. 3. Monday p.m. 0r There are nine Plums in the family. Since each daughter shares the same brother, there are six girls, one boy and Mr. & Mrs. Plum; that makes nine. 8
9 PUZZLING PUZZLES 1! Below is a stick-picture of a glass with an object inside. Without touching the object inside, how can you move only TWO sticks so that it all ends up looking like the object is outside the glass but the glass remains exactly the same shape? 9
10 PUZZLING PUZZLES 2! By moving only THREE coins how can you make the triangle of coins look like it points downwards instead of upwards? 10
11 PUZZLING PUZZLES 3! By moving only ONE stick how can you: 1. Make it look like the house faces the other way? 2. Make the stick picture below look like two houses? 11
12 PUZZLING PUZZLES 4! By moving only TWO sticks how can you change the three equal size squares to look like: 1. four equal size rectangles? 2. four equal size triangles? 3. five squares? 4. two equal size triangles and two equal size squares? 5. one large square and one smaller square? 6. three triangles? 12
13 PUZZLING PUZZLES 5! By moving only FOUR sticks how can you change the four equal size squares to look like: 1. Three equal size squares? 2. Eight equal size squares? 3. Six equal size triangles? 4. Eight equal size triangles? 13
14 PUZZLING PUZZLES 6! PART A In an equilateral triangle, all the sides are exactly the same length. By using SIX identical sticks how can you: 1. Make one equilateral triangle? 2. Make two equilateral triangles? 3. Make four equilateral triangles? PART B How can you arrange SIX identical sticks on the table so that each stick touches ALL the other sticks? PART A CLUE : To answer question 1 and 2 you need to think in 2D, and for 3 in 3D with steady hands! PART B CLUE : You will needs to very carefully arrange the sticks in two layers, so think in 3D again! 14
15 PUZZLING PUZZLES: ANSWERS NOTE: Dotted lines show the sticks or coins that are moved. PUZZLING PUZZLES 1 PUZZLING PUZZLES 2 PUZZLING PUZZLES PUZZLING PUZZLES
16 PUZZLING PUZZLES: ANSWERS NOTE: Dotted lines show the sticks that are moved. PUZZLING PUZZLES PART A PUZZLING PUZZLES 6 PARTS A & B To make four equilateral triangles using SIX sticks you would need to make a 3-dimensional shape called a TETRAHEDRON, or triangular pyramid. Looking down from above, it would look something like this: PART B You will need to carefully arrange the six sticks in two layers as shown for each stick to touch ALL the others: (the sticks are coloured black and white here to make the layers easier to see) 16
17 Mad mental maths! TRY THIS: 1. Think of a number 2. Add 4 to it 3. Multiply that answer by 2 4. Add another 6 5. Divide that answer by 2 6. Subtract the number you first thought of 7. WHAT DO YOU GET? 8. Now try again with other numbers and see what you get. AND TRY THIS: 1. Think of a number. 2. Add Multiply by Subtract Divide by Subtract What do you get? 8. Try for other numbers. NOW TRY THIS: 1. Think of a number. 2. Add Double the result. 4. Take away Halve the result. 6. Take away the number you first thought of. 7. What do you get? 8. Try for other numbers. Look carefully through the instructions of each of the mental maths tricks above. See if you can spot any clues about how these tricks work. 17
18 Shrinking coins or stretching holes? Take a sheet of paper (or a sheet of soft plastic from a shopping bag) and VERY CAREFULLY draw circles around a 1p, 2p and a 5p coin as shown below. Make sure that you use a sharp pencil or fine pen and draw your circles as closely around the edge of each coin as you can. Now use a small pair of sharp scissors nail scissors are good and VERY CAREFULLY AND SLOWLY cut around each of the circles you have drawn. CUTTING HINT: This cut is a little easier to do if you fold the sheet accurately on the dotted line shown above. This creates three half or semi-circles to cut around but you must fold accurately. You should end up with three holes in the sheet of paper (or plastic), each hole about the same size as a 1p, 2p and a 5p coin. You should be able to carefully push the 2p coin through the 2p-size hole, without damaging or stretching the paper or plastic sheet. Try this for yourself if you are not sure. Can you push the 2p coin through the 1p-size hole? (without damaging or stretching the paper or plastic sheet) Can you push the 2p coin through the 5p-size hole? (without damaging or stretching the paper or plastic sheet) CLUE : Holding the sheet of paper or plastic, rest the 2p coin in the 1p-size hole and very carefully bend the hole around the coin in two different directions. 18
19 Shrinking coins or stretching holes? (ANSWER) Rest the 2p coin in the 1p-size hole as shown in the picture below. Holding the sheet at corners E and F with the thumb and first two fingers of both hands, VERY CAREFULLY bend the sheet around the coin, as shown below, bending edge AB towards and close to edge CD Then bend the corners E and F outwards and upwards away from each other, as suggested by the two big arrows in the picture below. The 2p coin should drop straight through the hole! Q. How could you find out the smallest size hole through which a 2p could fit? CLUE : You could carry on cutting out smaller and smaller holes (though drawing and cutting them could be difficult), or you could find out about the relationship between the diameter of a circle (or widest width across it) and the circumference of a circle (or distance around the outside). 19
20 CUNNING CARD TRICK! 1. Take 15 playing cards and share them out FACE-UP onto a table into three lines in the number pattern shown below. You MUST be able to see what each card is. LINE 1 LINE 2 LINE 3 Card 1 Card 4 Card 7 Card 10 Card 13 Card 2 Card 3 Card 5 Card 6 Card 8 Card 9 Card 11 Card 12 Card 14 Card Ask a friend to choose one card and remember it. They MUST NOT tell you what the card is. Just tell them to point to the LINE their chosen card is in - LINE 1, 2 or 3; 3. Carefully slide together each line of cards into three neat piles of cards; 4. Pick up the three piles of cards, placing the pile of cards they picked in between the other two (like a sandwich) you should now be holding all fifteen cards piled in your hand; 5. Repeat steps 1 to 4 again 2 MORE TIMES, but stay with the same chosen card. 6. Finally, count through the pile of fifteen cards until you reach the EIGHTH card this eighth card should be the card they chose. AMAZING! SOME THINGS TO INVESTIGATE: 1. In step 2, chose a card on the end of a line. How does the position of the card in the line change when you lay out the cards the second and third time? 2. Can you do the same card trick using different numbers of cards? 20
21 CUNNING CARD TRICK! To work out how to do the same card trick but using different numbers of cards GOOD CLUES: 1. On the first card trick you started with a pack size of 15 cards which you shared out into three lines and each line had the same number of cards. 2. The eighth card was the answer card, which is the middle card in a pack of 15 cards. REALLY GOOD CLUES: Try writing your ideas in a table like the one below, replacing the question marks with a number: (the numbers for the card trick you have already tried is filled in for you) Number of Cards Number of Cards Position of the in the pack in each line answer card??? ?????????????????? Can you see any number patterns in the table of numbers you have calculated? (CLUE: Look down the columns of numbers) Does the card trick always work using the different pack sizes you have calculated? Do you always have to deal out the cards three times? If a card is chosen at the end of a line, how does the position of the card in the line change when you lay out the cards the second and third time? 21
22 STRANGE STRUCTURES! 1. Study carefully the hypersquare 3D-shape drawn below. It can be cut and folded from one sheet of paper or card. This flap should stick straight up in the air These parts of the shape should lie flat on the table 2. Try to make the above 3D-structure. Use only a single sheet of paper or card and a pair of scissors. You MUST NOT use any sticky tape or glue. 22
23 Shaping stars! 1 2 : Fold a sheet of thin A4 paper in half - thin paper is easier to fold and cut (dotted lines show where the folds should appear) 2 3 : Fold the corner A upwards to ½-way along the top edge BC 3 4 : Fold edge DE upwards to line up with edge AD 4 5 : Fold edge BD down (around edge AD) to line up with edge DF 5 6 : Cut along the dotted line shown and unfold both pieces to find two stars! 23
24 HOLEY PAPER! OR HOW TO CUT A HOLE IN A SHEET OF PAPER BIG ENOUGH TO FIT YOUR WHOLE BODY THROUGH! : Fold a sheet of paper in half and then in half again the other way, bringing edge AB up to edge CD (see figures 2 & 3) (dotted lines show where the folds should appear) 3 4 : Fold the paper in half again, bringing edge EF up to edge AB 4 5 : Fold the paper in half once more, bringing edge GH up to edge EF SEE THE NEXT PAGE FOR FINAL INSTRUCTIONS 24
25 HOLEY PAPER! MORE INSTRUCTIONS 5 6 : From figure 5, unfold the paper back to where it has only one fold, as shown in figure 2 on the previous page. You should see seven creases, as shown by the seven horizontal dotted/dashed lines in figure 6 below: 6 7 : Make all eight cuts shown by the dark-dashed lines in figure 6 below: NOTE: FIRST make the cut IJ very close to the still folded edge AC. This cut should run between the two end creases, shown as 1 & 7. Then cut along the creases 1 to 7 in alternate directions, making sure that your cuts stop before they reach the opposite edge of the paper. Finally, VERY CAREFULLY unfold and open up the paper to reveal a hole large enough to fit your whole body through! THINGS TO TRY 1. Take another sheet of paper of the same size. Fold it in the same way as before but this time, when you reach step 5, make one more fold in half in the same direction. When you unfold the paper as asked in step 6, you should now see 15 creases. Similar to before, cut between the two end creases close to the folded edge AC and then make alternate-direction cuts along all the 15 creases. Is the size of the hole different to the first hole you made? 2. Try to find out what is the smallest piece of paper you can fold and cut, and still fit your whole body through. 25
26 MAGIC NUMBER CARDS! 1. Ask a friend to look at the number cards below. 2. Ask them to think of a number between 1 and Ask them NOT to tell you the number they have chosen. 4. Ask them to tell you ALL the cards where they can see their number. 5. You then ADD together the first numbers you can see on each of the cards they named. (NOTE: the first number on Card A is 1, B is 2, C is 4, and D is 8) The answer you get is the number they first thought of! Card A Card B Card C Card D What would be the first number on cards E, F & G (if you had them)? 7. What other number patterns can you see in each of the above cards? 8. Can you see any differences in the number patterns between cards? 26
27 LOSING LINES! Take a piece of paper and using a pencil and ruler very carefully draw THIRTEEN thick parallel lines, as shown in the picture just below. Draw the lines 10cm long and 1cm apart. (The lines will be easier to draw if you draw on squared- or graph-paper) Then draw a thin diagonal line AD from one corner of the block of lines to the opposite corner and extend the line to the edge of the paper. Now carefully cut along the line AD. Carefully place the two pieces of paper together again on a table and slowly slide the triangular sheet ACD along the cut until the lines line up again as shown below. Now count the thick drawn lines. You should now count only twelve lines! Can you see how this illusion works? Why not try the illusion with different measurements? Does it always work? 27
Optical Illusion Sketchbook Project Art 1201
Optical Illusion Sketchbook Project Art 1201 Before beginning our final optical illusion project, we need to practice drawing optical illusions so we will have a better understanding of how to construct
More informationSection 1: Whole Numbers
Grade 6 Play! Mathematics Answer Book 67 Section : Whole Numbers Question Value and Place Value of 7-digit Numbers TERM 2. Study: a) million 000 000 A million has 6 zeros. b) million 00 00 therefore million
More informationOp Art Pinwheel Side 1 Choices
Op Art Pinwheel Side 1 Choices 1. 1) Draw an X from corner to corner. Then draw a vertical line and horizontal line that match up in the center. 2) draw curved lines, spaced about 1/2" apart, between the
More informationSpring Diaries Quilt ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Spring Diaries Quilt ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ This lovely quilt is perfect for any time of year in the spring and summer to echo the sunny seasons, or in autumn and winter to bring a welcome splash of warm
More informationGPLMS Revision Programme GRADE 6 Booklet
GPLMS Revision Programme GRADE 6 Booklet Learner s name: School name: Day 1. 1. a) Study: 6 units 6 tens 6 hundreds 6 thousands 6 ten-thousands 6 hundredthousands HTh T Th Th H T U 6 6 0 6 0 0 6 0 0 0
More informationThe London Independent Girls Schools Consortium. Group 1. Mathematics Entrance Examination
Name. Present School The London Independent Girls Schools Consortium Group 1 Mathematics Entrance Examination 15 th January 2010 Time allowed: 1 hour 15 minutes Write in pencil. Do all your rough working
More informationUnit 5 Shape and space
Unit 5 Shape and space Five daily lessons Year 4 Summer term Unit Objectives Year 4 Sketch the reflection of a simple shape in a mirror line parallel to Page 106 one side (all sides parallel or perpendicular
More informationGPLMS Revision Programme GRADE 4 Booklet
GPLMS Revision Programme GRADE 4 Booklet Learner s name: School name: Day 1. 1. Read carefully: a) The place or position of a digit in a number gives the value of that digit. b) In the number 4237, 4,
More informationYear 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?
DAY 1 ANSWERS Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? -3 0 5 8 4 Add two
More informationSHAPE level 2 questions. 1. Match each shape to its name. One is done for you. 1 mark. International School of Madrid 1
SHAPE level 2 questions 1. Match each shape to its name. One is done for you. International School of Madrid 1 2. Write each word in the correct box. faces edges vertices 3. Here is half of a symmetrical
More informationExploring Concepts with Cubes. A resource book
Exploring Concepts with Cubes A resource book ACTIVITY 1 Gauss s method Gauss s method is a fast and efficient way of determining the sum of an arithmetic series. Let s illustrate the method using the
More informationYou will need 9x12 blue construction paper, SOFT LEAD pencil colors, an eraser, and a metric ruler.
Here is a nice picture for a beginner to start using color. This is a copy of the black and white barn drawing so if you wish you can do that one first. Scroll down. You will need 9x12 blue construction
More informationHappy Winter Snowman Quilt
1 Happy Winter Snowman Quilt This quilt is sure to become a classic addition to your décor at Christmas time. Rows of fun snowmen and loving hearts are highlighted against a deep blue winter sky. The quilt
More informationOverview: These flying oddities aren t your typical paper airplane. They may be strange to look at, but they re simple to make and fun to fly.
17 THESE THINGS FLY! Overview: These flying oddities aren t your typical paper airplane. They may be strange to look at, but they re simple to make and fun to fly. Paper Paper or foam cups Straw Elastic
More informationCounting in multiples Page 8
Counting in multiples Page 8 1 a Add four Accept +4 b Add eight Accept +8 c Add fifty Accept +50 2 a Missing numbers are: 60, 80, 100 b Missing numbers are: 300, 400, 600 c Missing numbers are: 24, 48,
More informationBUILDING A VR VIEWER COMPLETE BUILD ASSEMBLY
ACTIVITY 22: PAGE 1 ACTIVITY 22 BUILDING A VR VIEWER COMPLETE BUILD ASSEMBLY MATERIALS NEEDED One Rectangular Cardboard piece from 12-pack soda case Two round bi-convex lenses with a focal point of 45mm
More informationShapes. Practice. Family Note. Unit. show 3-sided, 4-sided, 5-sided, and 6-sided shapes. Ask an adult for permission first. Add.
Home Link 8-1 Shapes In this lesson children examined different shapes, such as triangles, quadrilaterals, pentagons, and hexagons. They also discussed these shapes attributes or characteristics such as
More informationIntroduction. It gives you some handy activities that you can do with your child to consolidate key ideas.
(Upper School) Introduction This booklet aims to show you how we teach the 4 main operations (addition, subtraction, multiplication and division) at St. Helen s College. It gives you some handy activities
More informationLIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII. Mathematics Laboratory
LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII Mathematics Laboratory The concept of Mathematics Laboratory has been introduced by the Board in its affiliated schools with the objective
More informationThe Willows Primary School Mental Mathematics Policy
The Willows Primary School Mental Mathematics Policy The Willows Primary Mental Maths Policy Teaching methodology and organisation Teaching time All pupils will receive between 10 and 15 minutes of mental
More informationThe Magic Circle Basic Lesson. Developed by The Alexandria Seaport Foundation
The Magic Circle Basic Lesson Developed by The Alexandria Seaport Foundation The Tools Needed Compass Straightedge Pencil Paper (not graph paper, 8.5 x 11 is fine) Your Brain (the most important tool!)
More informationFirst Practice Test 2 Levels 3-5 Calculator allowed
Mathematics First Practice Test 2 Levels 3-5 Calculator allowed First name Last name School Remember The test is 1 hour long. You may use a calculator for any question in this test. You will need: pen,
More informationSquares Multiplication Facts: Square Numbers
LESSON 61 page 328 Squares Multiplication Facts: Square Numbers Name Teacher Notes: Introduce Hint #21 Multiplication/ Division Fact Families. Review Multiplication Table on page 5 and Quadrilaterals on
More informationAddition and Subtraction
D Student Book Name Series D Contents Topic 1 Addition mental strategies (pp. 114) look for a ten look for patterns doubles and near doubles bridge to ten jump strategy split strategy version 1 split strategy
More informationMaths Makes Sense. 1 Medium-term plan
Maths Makes Sense 1 Medium-term plan 2 Maths Makes Sense 1 Block 1 End-of-block objectives Arithmetic 1 Copy addition and subtraction Maths Stories with 1-digit, zero, a half and a quarter, e.g. 2 + 1
More informationWe can sort objects in lots of different ways. How do you think we have sorted these shapes? Can you think of another way we could sort them?
2D space sorting We can sort objects in lots of different ways. How do you think we have sorted these shapes? Can you think of another way we could sort them? Answers 1 Cut out these children and look
More informationTriangles, Rectangles, Squares, and Circles
Triangles, Rectangles, Squares, and Circles Triangle sides Rectangle 4 sides Lesson 21 21 Square length a rectangle with 4 equal sides width Measures of a circle: Radius = 1 diameter Diameter = 2 radius
More informationMath Circle. Hexaexagons. Warm-up. How many sides does a piece of paper have? How many sides do you think all at objects have?
Math Circle Hexaexagons Warm-up How many sides does a piece of paper have? How many sides do you think all at objects have? 1 1. Constructing the Hexaexagon (a) Now that you have the hexaexagon template,
More informationStudent Book SERIES. Space and Shape. Name
Student ook Space and Shape Name Contents Series Space and Shape Topic 1 2D space (pp. 1 18) l sorting l squares and rectangles l circles and ovals l triangles l sides and corners l pentagons and hexagons
More informationMeasuring in Centimeters
MD2-3 Measuring in Centimeters Pages 179 181 Standards: 2.MD.A.1 Goals: Students will measure pictures of objects in centimeters using centimeter cubes and then a centimeter ruler. Prior Knowledge Required:
More informationReception Vocabulary bookmark. Reception Vocabulary bookmark. Adding and subtracting. Adding and subtracting
Adding and subtracting add more and make sum total altogether score double one more two more ten more... how many more to make...? how many more is... than...? take (away) leave how many are left/left
More informationOdd one out. Odd one out
SAMPLE Odd one out Odd one out NUMBER AND PLACE VALUE Spot the difference Spot the difference The same different NUMBER AND PLACE VALUE Is it sixteen? Is it sixteen? Is it sixteen? Is it sixteen? Is it
More informationTHE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM MATHEMATICS
THE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM Group 2 YEAR 7 ENTRANCE EXAMINATION MATHEMATICS Friday 8 January 2016 Time allowed: 1 hour 15 minutes First Name:... Surname:... Instructions: Please
More informationWhole Numbers. Whole Numbers. Curriculum Ready.
Curriculum Ready www.mathletics.com It is important to be able to identify the different types of whole numbers and recognize their properties so that we can apply the correct strategies needed when completing
More informationYear 4 Homework Activities
Year 4 Homework Activities Teacher Guidance The Inspire Maths Home Activities provide opportunities for children to explore maths further outside the classroom. The engaging Home Activities help you to
More information2016/02 Hideo Nakano STRAW KITE
2016/02 Hideo Nakano nh1886@yahoo.co.jp STRAW KITE Introduction We can build up an improvised airplane, which has a plastic straw skeleton, a rubbish bag sheet wing and a rubber band powered toy propeller.
More information7 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers
Pellissippi State Middle School Mathematics Competition 7 th Grade Exam Scoring Format: points per correct response - each wrong response 0 for blank answers Directions: For each multiple-choice problem
More informationPinwheel. Method. Materials
Pinwheel Square sheet of construction paper. Marker or pencil Scissors Tape or staple Thumbtack Pencil with an eraser on the end Start with a square piece of construction. Draw an X, from corner to corner.
More informationIs muddled about the correspondence between multiplication and division facts, recording, for example: 3 5 = 15, so 5 15 = 3
Is muddled about the correspondence between multiplication and division facts, recording, for example: 3 5 = 15, so 5 15 = 3 Opportunity for: recognising relationships Resources Board with space for four
More informationMANIPULATIVE MATHEMATICS FOR STUDENTS
MANIPULATIVE MATHEMATICS FOR STUDENTS Manipulative Mathematics Using Manipulatives to Promote Understanding of Elementary Algebra Concepts Lynn Marecek MaryAnne Anthony-Smith This file is copyright 07,
More informationTHE SULTAN S SCHOOL HELPING YOUR CHILD WITH MATHS AT HOME
HELPING YOUR CHILD WITH MATHS AT HOME Your child has taken home a letter which explains the main things that your child has or will be learning in maths. Have a look through this letter so you can get
More information1. Numbers & Operations Place Value Gr. 7 N-1a,b
1. Numbers & Operations Place Value Gr. 7 N-1a,b Ghetto Blaster Cassette NUMBERS Student Recording Cassette answer sheet 1. On your answer sheet write the following as numbers: Whole numbers: a) eight
More informationDeveloping geometric thinking. A developmental series of classroom activities for Gr. 1-9
Developing geometric thinking A developmental series of classroom activities for Gr. 1-9 Developing geometric thinking ii Contents Van Hiele: Developing Geometric Thinking... 1 Sorting objects using Geostacks...
More informationPuzzles to Play With
Puzzles to Play With Attached are some puzzles to occupy your mind. They are not arranged in order of difficulty. Some at the back are easier than some at the front. If you think you have a solution but
More informationMathematical Construction
Mathematical Construction Full illustrated instructions for the two bisectors: Perpendicular bisector Angle bisector Full illustrated instructions for the three triangles: ASA SAS SSS Note: These documents
More informationJunior Circle Games with coins and chessboards
Junior Circle Games with coins and chessboards 1. a.) There are 4 coins in a row. Let s number them 1 through 4. You are allowed to switch any two coins that have a coin between them. (For example, you
More informationChuckra 11+ Maths Test 4
Chuckra 11+ Maths Test 4 1 The table below shows how many bottles were collected in a bottle bank during one week. How many green bottles were put in the bottle bank? 2 6 55 Between 5 and 6 Between 50
More informationGPLMS Revision Programme GRADE 3 Booklet
GPLMS Revision Programme GRADE 3 Booklet Learner s name: School name: _ Day 1 1. Read carefully: a) The place or position of a digit in a number gives the value of that digit. b) In the number 273, 2,
More informationThe London Independent Girls Schools Consortium. Mathematics Specimen Paper
Name: Present School:.. The London Independent Girls Schools Consortium Mathematics Specimen Paper Instructions: Time allowed: 1 hour 15 minutes Only use a pencil and a rubber. Do all your rough working
More informationMylar Moon Boots. Supplies. Cardboard. Mylar blanket. Duct tape. Craft knife. Ruler. Pen/Pencil
Mylar Moon Boots 1. Design a custom box. Measure the length, width, and height of your foot and add an inch to each of these measurements.» Now draw a rectangle on your cardboard that has the new dimensions
More informationYear 1. Using and applying mathematics. Framework review
Year 1 Using and applying mathematics Solve problems involving counting, adding, subtracting, doubling or halving in the context of numbers, measures or money, for example to pay and give change I am going
More informationTrebuchet Construction Instructions
Trebuchet Construction Instructions Follow these instructions step by step to create your trebuchet. Materials: Trebuchet Template (6 pages cardstock) Trebuchet Template (1 page paper) One unsharpened
More informationMaking Double Fold Straight of Grain Quilt Binding
Making Double Fold Straight of Grain Quilt Binding Tools and Supplies: Cutting mat, rotary cutter with a sharp blade, walking foot, 6x24 ruler, seam allowance guide, pencil, quilting gloves Be sure your
More informationReading and Understanding Whole Numbers
Reading and Understanding Whole Numbers Student Book Series D Mathletics Instant Workbooks Copyright Contents Series D Reading and Understanding Whole Numbers Topic Looking at whole numbers reading and
More informationSt Thomas of Canterbury Catholic Primary School Where every child is special
Helping your child with Maths games and FUN! Helping with Maths at home can often be an issue we ve all been there, tears and frustration and your children aren t happy either! The key is to try to make
More informationReading and Understanding Whole Numbers
E Student Book Reading and Understanding Whole Numbers Thousands 1 Hundreds Tens 1 Units Name Series E Reading and Understanding Whole Numbers Contents Topic 1 Looking at whole numbers (pp. 1 8) reading
More informationDuck Quilt (Grey colourway)
DUCK Quilt 1 Duck Quilt (Grey colourway) Two patchwork blocks are used for this pretty quilt a star block and a duck block, which create an interesting diagonal pattern over the quilt. The duck block is
More informationCandy Bloom Quilt ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Candy Bloom Quilt ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ This gorgeous quilt in a fresh red, blue and cream colourway has a celebration feel, with rows of pretty bunting-style patchwork hung on narrow strips of pale
More informationNumber Shapes. Professor Elvis P. Zap
Number Shapes Professor Elvis P. Zap January 28, 2008 Number Shapes 2 Number Shapes 3 Chapter 1 Introduction Hello, boys and girls. My name is Professor Elvis P. Zap. That s not my real name, but I really
More informationNotes ~ 1. Frank Tapson 2004 [trolxp:2]
Pentominoes Notes ~ 1 Background This unit is concerned with providing plenty of spatial work within a particular context. It could justifiably be titled Puzzling with Pentominoes. Pentominoes are just
More informationBlue Scrapflower Quilt
1 Blue Scrapflower Quilt This fresh and colourful quilt uses only one block but because it is made in twenty-four different colourways, it gives the quilt a charming scrappy look. The quilt has a lovely
More informationGOAL Practise techniques for creating various types of geometric lines by constructing and reproducing figures. sheet of letter-sized white paper
TECHNIQUE STUDENT BOOK Chapter 11, page 340 TOOLBOX Pages 62 67 GOAL Practise techniques for creating various types of geometric lines by constructing and reproducing figures. MATERIALS drawing board T-square
More informationScience - Year 3. Light Block 3L. Light and Shadows. Session 1 Resource Pack
Science - Year 3 Light Block 3L Light and Shadows Session 1 Resource Pack Original resource copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. We refer you
More informationPaint Neat Edges. on Zebra Stripes. Draw a Symmetrical Zebra Face
Level: Intermediate Flesch-Kincaid Grade Level: 7.5 Flesch-Kincaid Reading Ease: 62.1 Drawspace Curriculum 8.2.A6-10 Pages and 33 Illustrations Paint Neat Edges on Zebra Stripes Outline the contours of
More information29mm Priority Cinco. Glue all along seam. Tape
29mm Priority Cinco The 29mm Priority Cinco is a companion to the 29mm Priority Stealth which is made from a used, U.S. Postal Service Priority Mail cardboard box. A clean pizza box would work just as
More informationFolding Activity 3. Compass Colored paper Tape or glue stick
Folding Activity 3 Part 1 You re not done until everyone in your group is done! If you finish before someone else, help them finish before starting on the next part. You ll need: Patty paper Ruler Sharpie
More informationInteractive Activities Workshop Active Learning Institute Nov., 2014
Interactive Activities Workshop Active Learning Institute Nov., 2014 Abra-Kid-Abra 314-961-6912 www.abrakid.com info@abrakid.com Bringing out the STAR in Kids! After School Classes Camps Shows Boomerangs
More informationSample lessonsample lessons using ICT
Sample lessonsample lessons using ICT The Coalition Government took office on 11 May 2010. This publication was published prior to that date and may not reflect current government policy. You may choose
More informationActivities. for building. geometric connections. MCTM Conference Cheryl Tucker
Activities for building geometric connections (handout) MCTM Conference 2013 Cheryl Tucker Minneapolis Public Schools Tucker.cherylj@gmail.com (Many materials are from Geometry Connections, CPM, used with
More informationYou need to be really accurate at this before trying the next task. Keep practicing until you can draw a perfect regular hexagon.
Starter 1: On plain paper practice constructing equilateral triangles using a ruler and a pair of compasses. Use a base of length 7cm. Measure all the sides and all the angles to check they are all the
More informationNotes ~ 1. CIMT; University of Exeter 2001 [trolxp:2]
Pentominoes 0012345 0012345 0012345 0012345 0012345 0012345 0012345 0012345 789012345 789012345 789012345 789012345 789012345 789012345 789012345 789012345 0012345 0012345 0012345 0012345 0012345 0012345
More information1 Summer Math Booklet
Summer Math Booklet 1 2 How Many Combinations? Sarah has 68. What different combinations of dimes and pennies could she have to equal 68? Try to find all the possible combinations. Write an equation for
More informationRepresenting Square Numbers. Use materials to represent square numbers. A. Calculate the number of counters in this square array.
1.1 Student book page 4 Representing Square Numbers You will need counters a calculator Use materials to represent square numbers. A. Calculate the number of counters in this square array. 5 5 25 number
More informationSeries. Student. Numbers. My name
Series Student My name Copyright 2009 3P Learning. All rights reserved. First edition printed 2009 in Australia. A catalogue record for this book is available from 3P Learning Ltd. ISN 978-1-921860-10-2
More informationFryer's Trebuchet Paper Kits
Fryer's Trebuchet Paper Kits Things you will need 7 sheets of card approx. 0.3 mm or 0.01 inches thick 1 sheet of paper to print out to download. 2 x 6-7 mm dowel or pencils 1 paper clip String 6 cms (2.5
More informationHubble Space Telescope Paper Model Directions Downloads, patterns, and other information at:
Hubble Space Telescope Paper Model Directions Downloads, patterns, and other information at: www.hubblesite.org/go/model Materials: model pattern printed onto cardstock/coverstock instructions printed
More informationMaths Makes Sense. 3 Medium-term plan
Maths Makes Sense 3 Medium-term plan 2 Maths Makes Sense 3 Block 1 End-of-block objectives Arithmetic 1 Respond to I will act the Real Story, you write the Maths Story (including the answer), for addition
More informationTest B. Calculator allowed. Mathematics test. First name. Last name. School KEY STAGE 2 LEVELS 3 5
Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test B Calculator allowed First name Last name School 2007 For marker s use only Page 5 7 Marks 9 11 13 15 17 19 21 23 TOTAL Borderline check Jamie Kate Hassan
More informationWe are herbivores. We eat plants and twigs. We are the largest dinosaurs.
1 The Link of mathematics is designed to help children develop their mathematical skills. Each Link or page has four practice exercises with short and varied activities to consolidate learning and increase
More informationWhole Numbers WHOLE NUMBERS PASSPORT.
WHOLE NUMBERS PASSPORT www.mathletics.co.uk It is important to be able to identify the different types of whole numbers and recognise their properties so that we can apply the correct strategies needed
More information6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers
Pellissippi State Middle School Mathematics Competition 6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Directions: For each multiple-choice problem
More informationMathematical Olympiads November 19, 2014
athematical Olympiads November 19, 2014 for Elementary & iddle Schools 1A Time: 3 minutes Suppose today is onday. What day of the week will it be 2014 days later? 1B Time: 4 minutes The product of some
More informationRadiant Star. Each point has 64 diamonds that are arranged in eight rows with eight diamonds in each row Compliments of
Radiant Star Each point has 64 diamonds that are arranged in eight rows with eight diamonds in each row Compliments of www.quilting-tidbits.com Color Layout Guide Using your fabric choices You will cut
More informationUK JUNIOR MATHEMATICAL CHALLENGE. April 25th 2013 EXTENDED SOLUTIONS
UK JUNIOR MATHEMATICAL CHALLENGE April 5th 013 EXTENDED SOLUTIONS These solutions augment the printed solutions that we send to schools. For convenience, the solutions sent to schools are confined to two
More informationPaper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER
Ma KEY STAGE 3 TIER 6 8 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your
More informationYear 5 Problems and Investigations Spring
Year 5 Problems and Investigations Spring Week 1 Title: Alternating chains Children create chains of alternating positive and negative numbers and look at the patterns in their totals. Skill practised:
More informationFirst Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet.
5 Entering 5 th Grade Summer Math Packet First Name: Last Name: 5 th Grade Teacher: I have checked the work completed: Parent Signature Select the one best answer for each question. DO NOT use a calculator
More informationMaster Template Unusual Minibooks 1
Master Template Unusual Minibooks 1 Arrow 4-page 4 Minibook Cut out the 2 pages. Fold on the dotted lines. Place the inside pages inside the front page. Staple at the folded edge. Front page Back page
More informationWhat you'll need A measuring cup, 4 glasses of equal size, and water
Maths at Home Your home is full of opportunities to explore maths with your child and, at the same time, build his or her self-confidence and understanding of mathematical ideas. This is a chance for you
More informationWorking with Wood & Tools. Marking and Measuring. Tools you will need:
Marking and Measuring English Measure If you want to make pieces of a certain size, you will have to measure and mark them before you do any cutting. Examine a rule and find an inch mark. The mark (")
More informationTriangles, Rectangles, Squares, and Circles
LESSON Name 2 Teacher Notes: page 27 Triangles, Rectangles, Squares, and Circles Refer students to Circle on page 4 in the Student Reference Guide. Post Reference Chart Circle. Use the compasses from the
More information6. True or false? Shapes that have no right angles also have no perpendicular segments. Draw some figures to help explain your thinking.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 3 Homework 4 4 5. Use your right angle template as a guide and mark each right angle in the following figure with a small square. (Note that a right angle
More informationApplying Fret Space Numbers and/or the Label Set to a Fretted Fingerboard
Jixis TM Graphical Music Systems Applying Fret Space Numbers and/or the Label Set to a Fretted Fingerboard The Jixis system was designed so that you would not need to apply the Jixis labels directly to
More informationPaper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER
259572_P2 4-6_KS3_Ma.qxd 1/4/04 3:43 PM Page 1 Ma KEY STAGE 3 TIER 4 6 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you
More informationBound and Determined:
Think You Don t Have Time to Create Beautiful Quilts? From quick-quilt adaptations of classic patterns to fun, fresh novelty designs, McCall s Quick Quilts provides you with a treasury of time- and effort-saving
More informationWatch Math Unfold! Origami Owl
Watch Math Unfold! Origami Owl Instructions 1. Start with a square piece of paper. (All sides should be equal, and all angles should be 90 degrees.) A good size to use is 15 centimeters by 15 centimeters.
More informationMeet #5 March Intermediate Mathematics League of Eastern Massachusetts
Meet #5 March 2008 Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2008 Category 1 Mystery 1. In the diagram to the right, each nonoverlapping section of the large rectangle is
More informationDownloaded from
Understanding Elementary Shapes 1 1.In the given figure, lines l and m are.. to each other. (A) perpendicular (B) parallel (C) intersect (D) None of them. 2.a) If a clock hand starts from 12 and stops
More informationMath Circle. Hexahexaexagons. October 27, October 29, Warm-up. How many sides does a hexaexagon have?
Math Circle Hexahexaexagons October 27, 2017 October 29, 2017 Warm-up How many sides does a hexaexagon have? How many triangles is a hexaexagon made out of? 1 1. Constructing the hexahexa exagon (a) Now
More informationNumeracy Practice Tests
ROUND 3 KEY STAGE 2 LEVELS 3 5 TEST B Numeracy Practice Tests CALCULATOR ALLOWED Mitch Bec Dan First name Last name School Test Instructions You may use a calculator to answer any questions in this test.
More information