MATHS INVESTIGATIONS AND PROBLEMS

[for use in Year 7 (Mrs Kerr/Mrs Reberger)]

A mathematical investigation is defined as a collection of worthwhile problem-solving tasks that -

In addition, a mathematical investigation involves a number of processes, which include -

 

NUMBER

SPACE

CHANCE AND DATA

PATTERNS AND ALGEBRA

MEASUREMENT

1.     Percent Problems

2.     Making your first million

3.     Discovering fractions using a ruler

4.     Create an address number

5.     Create an address number (2)

6.     Printing books

7.     Playing the factor game

8.     Playing to win

9.     The product game

10.  Number stairs

11.  Diagonal differences

12.  Triangle Teaser

13.  Bar codes

14.  Number of the day

15.  Pyramid Puzzle

16.  Multiplication Square Investigation (C. Kerr)

17.  Smartie Pants (C. Kerr)

18.  20 equations (C. Kerr)

19.  Covering the plane

20.  Exploring geometric solids and their properties

21.  Exploring properties of rectangles and parallelograms

22.  Geometry in the middle grades

23.  Finding lines of symmetry

24.  Who was Wassily Kandinski?

25.  Seeing geometry in art

26.  Mirroring Kandinsky

27.  Blue squares and beyond

28.  Go with green rectangles

29.  Fill ‘r up

30.  Purple prisms

31.  Polygon capture

32.  How many triangles can you construct?

33.  Crafty fencing

34.  Smartie Pants (C. Kerr)

35.  How Many Ways (C. Kerr)

36.Skin Weight

37.What is the best chip?

38.Every Breath You Take

39.Plan a trip

40.The celebrated jumping frog

41.The next billion

42.Weather watchers

43.What’s in a name?

44.The Hare and the Tortoise – Line Graphs (C. Kerr)

45.Smartie Pants (C. Kerr)

46.  Petals around the rose

47.  Shifting the balance

48.  Paper quilts

49.  Exploring number patterns

50.  Looking back and moving forward

51.  What comes next?

52.  Magicmathics (C. Kerr)

53. Long distance airplanes

54. Parking at the mall

55. Shops at the mall

56. Rescue Mission game

57. Travel in the solar system

58. What is the perimeter of all school buildings combined?

59. What is the area of all school buildings combined?

60. Which school building has the largest/smallest area?

61. What percentage of the school’s grounds is ‘lawn’?

62. What fraction of our classroom space is taken up by desks?

63. Which chocolate chip biscuit contains the most chocolate chips?

64. Which chocolate chip biscuit has the highest overall mass/chocolate chip mass ratio?

65. Questacon Choo Choo

66. Fuel for thought

67. Test Your Response Time (C. Kerr)

68. Animal Pavilion – Beenleigh Show (C. Kerr)

69. Test your eye-hand coordination (C. Kerr)

70. Is there a year without Friday 13th? (C. Kerr)

71. Smartie Pants (C. Kerr)

GENERAL SITES

 

1.                  Brain boosters

2.                   A range of investigations at this site

3.                  Figure This – Maths Challenges for families

4.                  Puzzling and perplexing problems

5.                  Puzzles and Problems

6.                  BSS – Problem Solving

7.                  Problem Solving in Mathematics

8.                  @NRICH – Mathematical Problems, Games and Articles

9.                  Mathematical Challanges

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