maths with rods
DESCRIPTION
40 exercise tabs to play with parentsTRANSCRIPT
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1
Name: _______________________________________________________ Date: _________________________
Write into the box, as in the example, the number corresponding to each rod by color
3
2
Name: _______________________________________________________ Date: _________________________
Series: construct the following series with the rods, and write its number under the figures, as in the example
1 – 2 – 1 – 2– 1 – 2 – 1 – 2
1 ‐ 2 ‐ 1 ‐ 2 ‐ 1 ‐ 2 ‐ 1 ‐ 2
1 – 2 – 3 – 4 – 5
1 – 2 – 3 – 1 – 2 – 3
2 – 4 – 6
1 – 3 – 5 – 7
2 – 4 – 8
3
Name: _______________________________________________________ Date: _________________________
Write the result of the sums, and you will can see which it forms a series
1 + 1 = ________
2 + 1 = _________
3 + 1 = _________
4 + 1 = _________
5 + 1 = _________
6 + 1 = _________
7 + 1 = _________
4
Name: _______________________________________________________ Date: _________________________
Write double each rod and painting the result with its color, as in the example
1 + 1 = __2______
2 + 2 = _________
3 + 3 = _________
4 + 4 = _________
5 + 5 = _________
6 + 6 = _________
5
Name: _______________________________________________________ Date: _________________________
Expresses the following lengths rods in two different ways, and paint with its colors the solutions
6
5
10
9
4
8
6
Name: _______________________________________________________ Date: _________________________
Expresses the following lengths rods with in different ways and paint with its colors the solutions
7
12
17
11
14
15
7
Name: _______________________________________________________ Date: _________________________
Measure the length of the gray path indicated in each figure with the minimum number of rods
L = _______
L = _______
L = _______
8
Name: _______________________________________________________ Date: _________________________
Make a train of rods similar to each figure and determine its length
L = _______
L = _______
L = _______
L = _______
9
Name: _______________________________________________________ Date: _________________________
Add together
2+1 = _____
3 + 2 = _____
2 + 2 = _____
4 + 1 = _____
4 + 2 = _____
3 + 5 = _____
5 + 2 = _____
4 + 3 = _____
10
Name: _______________________________________________________ Date: _________________________
Add together
7 + 1 = _____
8 + 2 = _____
7 + 3 = _____
4+4 = _____
4+5 = _____
3 + 6 = _____
2 + 7 = _____
8 + 1 = _____
11
Name: _______________________________________________________ Date: _________________________
Commutative Property: measure the path length in each figure of the several proposed forms. You will find it to be
equal: write each solution and the total.
L = ___________ ó ___________ = ________
L = ______________ ó _______________ ó _______________ = _________
12
Name: _______________________________________________________ Date: _________________________
Commutative Property: writing backwards
1 + 2 = _____
2 + 3 = _____
3 + 4 = _____
5 + 2 = _____
6 + 3 = _____
13
Name: _______________________________________________________ Date: _________________________
Decompose the number 10 in two terms, of all possible forms
10
5 + 5 = _____
6 + 4 = _____
7 + 3 = _____
8 + 2 = _____
9 + 1 = _____
14
Name: _______________________________________________________ Date: _________________________
Add together
4+5 = _____
3 + 4 = _____
2 + 6 = _____
5 + 1 = _____
1 + 2 + 3 = _____
3 + 3 + 3 = _____
3 + 2 + 2 = _____
4 + 4 + 4 = _____
15
Name: _______________________________________________________ Date: _________________________
Commutative Property: write in two different ways
1 + 2 + 1= ___________ ó ___________
2 + 3 + 2= ___________ ó ___________
3 + 4 + 3= ___________ ó __________
16
Name: _______________________________________________________ Date: _________________________
Decompose the number 12 in two terms, of all possible ways
12
5 + 7 = _____
6 + 6 = _____
10 + 2 = _____
8 + 4 = _____
9 + 3 = _____
17
Name: _______________________________________________________ Date: _________________________
Add together
4 + 4 + 1 = _____
3 + 1 + 2 = _____
2 + 2 + 3 = _____
2 + 2 + 1 = _____
1 + 2 + 4 = _____
4 + 3 + 2 = _____
2 + 3 + 2 = _____
3 + 3 + 2 = _____
18
Name: _______________________________________________________ Date: _________________________
Calculate the length of the gray path that it’s indicated in each figure
L = _______
L = _______
L = _______
19
Name: _______________________________________________________ Date: _________________________
Decompose the number using two or three addends, of all possible forms
3
2 + 1 = _____
1 + 1 + 1 = _____
6
3 + 3 = _____
4 + 2 = _____
5 + 1 = _____
2 + 2 + 2 = _____
20
Name: _______________________________________________________ Date: _________________________
Decompose the number using three summands, of all possible forms
4
2 + 1 + 1 = _____
8
3 + 3 + 2 = _____
4 + 2 + 2 = _____
5 + 1 + 2 = _____
6 + 1 + 1 = _____
21
Name: _______________________________________________________ Date: _________________________
Remove to the upper’s rod value, the second rod value (in the down line): the remains is subtraction. Make the
subtraction with the rods and write as in the example.
Example:
3 ‐ 2 = 1
22
Name: _______________________________________________________ Date: _________________________
Subtract, completing the missing length with a rod, and write the result
3 ‐ 2 = _____
3 ‐1 = _____
4 ‐ 3 = _____
5 2 = _____
6 ‐ 3 = _____
23
Name: _______________________________________________________ Date: _________________________
Add several times to multiplying
1 + 1 = 1 add twice = 1 x 2 = _____
2 + 2 = 2 add twice = 2 x 2 _____
2 + 2 + 2 = 2 add three times = 2 x3 = _____
2 + 2 + 2 + 2 = 2 add four times = 2 x4 = _____
3 + 3 = 3 add twice = 3 x 2 = _____
3 + 3 + 3 = 3 add three times = 3 x 3 = _____
1 + 1 + 1 = 1 add three times = 1 x 3 = _____
24
Name: _______________________________________________________ Date: _________________________
Multiply ....it is made figures! The result is the surface of those figures. You try it using the 2 rod.
2x1 = _____
2x2 = _____
2x3 = _____
2x4 = _____
2x5 = _____
25
Name: _______________________________________________________ Date: _________________________
Multiply ....it is made figures! The result is the surface of those figures. You try it using the 3 rod.
3x1 = _____
3x2 = _____
3 x 3 = _____
3 x 4 = _____
26
Name: _______________________________________________________ Date: _________________________
Areas: forming the proposed squares, and make it too with a different form, painting your solution.
L = 2
L = 3
L = 4
27
Name: _______________________________________________________ Date: _________________________
Areas: Make squares (they are figures with four equal sides) using rods. The surface is the sum of all rods used in
one square. Write the surface (sum of rods).
Side = 1, Surface = ____
Side = 2, Surface = ____
Side = 3, Surface = ____
Side = 4, Surface = ____
Side = 5, Surface = ____
28
Name: _______________________________________________________ Date: _________________________
Areas: calculate the area of a rectangle (like a square "extended" because it has four sides equal in pairs), with the
dimensions indicated by the numbers, joining the rods you need to form the figures:
2 x 1 = ____
3 x 2 = ____
2 x 3= ____
3 x 4= ____
5 x 2= ____
4 x 2= ____
29
Name: _______________________________________________________ Date: _________________________
Calculate the surfaces of these irregular figures (because the sides are not equal). You can place rods to form them
and add up its values. You can also check the solution by counting squares containing.
Surface = __________
Surface = __________
Surface = ___________
Surface = ___________
30
Name: _______________________________________________________ Date: _________________________
Areas: decomposing these surfaces as the sum of the other two rods indicated.
Example:
5 x 2 = 3 x 2 + 2 x 2
5 x 3= 3 x 3 + 2 x 3
3 x 4= 3 x 2 + 2 x 3
6 x 2= 2 x 2 + 2 x 2 + 2 x 2
6 x 2= 3 x 2 + 3 x 2
31
Name: _______________________________________________________ Date: _________________________
Cut out the following figures. You will need it in the next tabs
32
Name: _______________________________________________________ Date: _________________________
Calculate the area of the rectangle. If we divided in half two squares, how measure the area of each square? You
can help the cutouts for checking, further with the rods.
Rectangle = 4 x 2= ________ 1 Square = 2 x 2 = ________
Rectangle = 6 x 3= ________ 1 Square = 3 x 3 = ________
Rectangle = 8 x 4= ________ 1 Square = 4 x 4 = ________
33
Name: _______________________________________________________ Date: _________________________
Calculate the area of the square. If it splits in half in two equal right triangles, how measure the area of each
triangle? (The two together must be equal to the surface of the square) You can help of the cutouts to check, in
addition to the rods, squares and square or by counting (included they are divided by the diagonal line).
Square = 4 x 4 = __________
Triangle = Square / 2 = ________
Square = 6 x 6 = __________
Triangle = Square / 2 = ________
34
Name: _______________________________________________________ Date: _________________________
Construct the right triangle and calculate the length of the missing side in the figure (its length). You can help the
cutouts to check, or by seeking the rod to close the triangle.
L = __________
Solution
35
Name: _______________________________________________________ Date: _________________________
Finding prime numbers: colored with the same color in the first rod (the first in each question), the P letter when
these number can only be decomposed into 1 rods (it is a prime number), whitout any intermediate
decompositions.
2
3
4
5
6
36
Name: _______________________________________________________ Date: _________________________
Finding prime numbers: colored with the same color in the first rod (in each question), the P letter when these
number can only be decomposed into 1 rods (it is a prime number), whitout any intermediate decompositions.
7
8
9
10
37
Name: _______________________________________________________ Date: _________________________
Imagine that the first rod of each account is the number of sweets we have, and must be distributed between two
children. Use the rods to divide by two (half) and write the result:
2 / 2 = _____
4 / 2 = _____
6 / 2 = _____
8 / 2 = _____
10 / 2 = _____
38
Name: _______________________________________________________ Date: _________________________
Divide each number indicating the first rod (dividend) between the divisor (the second rod number) and write the
result (the result is the number of second rods you need).
3 / 3 = _____
3 / 1= _____
6 / 2 = _____
6 / 3 = _____
6 / 1 = _____
39
Name: _______________________________________________________ Date: _________________________
Divide each amount of the dividend between the quotient, writing the result (number of equal rods that you had to
use) and the rest (value of the last rod that you had to add to the quotient to complete the dividend).
Example:
6 / 5 = __1___ Remainder: __1___
Dividend
Divisor Remainder
6 / 2 = ______ Remainder: ______
Dividend
Divisor Remainder
7 / 3 = _____ Remainder: ______
Dividend
Divisor Remainder
8 / 3 = _____ Remainder: ______
Dividend
Divisor Remainder
40
Name: _______________________________________________________ Date: _________________________
Volumes:
Build, by stacking white, yellow and green rods, the following 3D figures (with volume), by using only one type of
rods for each figure.
1
4
8
9
18
27