Teaching ruler for effective numbers
By designing teaching rulers with different scales and index values, the problem of lack of teaching tools specifically used for teaching effective numbers in the existing technology is solved, and the effect of improving teaching effect and user experience is achieved.
Patent Information
- Application Number
- CN202421458194.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-06-24
- Publication Date
- 2025-04-01
- Estimated Expiration
- 2034-06-24
AI Technical Summary
The lack of teaching tools specifically used in the prior art to teach the concept of effective numbers, resulting in poor teaching results.
A teaching ruler for effective numbers is designed, including the first teaching ruler, the second teaching ruler and the third teaching ruler, which have different ranges and index values respectively. By gradually reducing the index value, students can intuitively understand the impact of the change in the index value on the effective number.
By using teaching rulers with different index values, students can intuitively determine the impact of index value changes on effective numbers, improving teaching effect and user experience.
Smart Images

Figure CN222703945U_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of teaching tools, and in particular to a teaching ruler for significant figures. Background Art
[0002] Significant figures are one of the first basic concepts that students encounter in experimental learning, and are also the focus and difficulty of experimental teaching. Enabling students to correctly read and calculate significant figures is one of the important goals of experimental teaching.
[0003] In the prior art, teaching aids such as ruler (gradation value 1mm), vernier caliper (gradation value 0.02mm), micrometer (gradation value 0.01mm) are often used to teach the concept of significant figures, but the effect is poor.
[0004] Obviously, there is a lack of teaching aids specifically used to teach the concept of significant figures in the prior art. Utility Model Content
[0005] The present specification provides a teaching ruler for significant figures to at least partially solve the above-mentioned problems existing in the prior art.
[0006] This manual adopts the following technical solutions:
[0007] This manual provides a teaching ruler for significant figures, including a first teaching ruler, a second teaching ruler and a third teaching ruler;
[0008] The measuring range of the first teaching ruler is n units, and the graduation value is 1 unit; 1≤n<10;
[0009] The measuring range of the second teaching ruler is m units, and the graduation value is 0.1 unit; wherein m≥n;
[0010] The measuring range of the third teaching ruler is x units, and the graduation value is 0.01 unit; wherein x≥n;
[0011] The front sides of the first teaching ruler, the second teaching ruler and the third teaching ruler are all marked with scales, while the back sides are not marked with scales, and the parts of the first teaching ruler, the second teaching ruler and the third teaching ruler marked with scales are all opaque.
[0012] Preferably, n and / or m and / or x are integers.
[0013] Preferably, the reverse sides of the first teaching ruler, the second teaching ruler and the third teaching ruler are all provided with graduation value marks, and the graduation value marks of the first teaching ruler, the second teaching ruler and the third teaching ruler are different;
[0014] The graduation value identification is in the form of color and / or pattern and / or text.
[0015] Preferably, the front and back sides of the first teaching ruler, the second teaching ruler or the third teaching ruler are configured with the same color;
[0016] The first teaching ruler, the second teaching ruler and the third teaching ruler are configured with different colors.
[0017] Preferably, the teaching ruler for significant figures further includes a fourth teaching ruler;
[0018] The fourth teaching ruler has a measuring range of y units and a graduation value of 0.001 units; wherein y≥n;
[0019] The front side of the fourth teaching ruler is marked with scales, and the back side is marked with graduation value marks, and the graduation value marks marked on the fourth teaching ruler are different from the graduation value marks marked on the first teaching ruler, the second teaching ruler and the third teaching ruler.
[0020] Preferably, n=m=x.
[0021] Preferably, 1 unit is 1 meter.
[0022] Preferably, the front and back sides of each teaching ruler are both provided with the graduation value mark;
[0023] The teaching rulers include a first teaching ruler and / or a second teaching ruler and / or a third teaching ruler.
[0024] Preferably, n=3.
[0025] Preferably, the length units of the measuring ranges of the first teaching ruler and / or the second teaching ruler and / or the third teaching ruler are different.
[0026] At least one of the above technical solutions adopted in this specification can achieve the following beneficial effects:
[0027] Based on the above content, the teaching ruler for significant figures includes a first teaching ruler, a second teaching ruler and a third teaching ruler. Among them, the range of the first teaching ruler is n units, and the graduation value is 1 unit; the range of the second teaching ruler is m units, and the graduation value is 0.1 unit; the range of the third teaching ruler is x units, and the graduation value is 0.01 unit. 1≤n<10, m≥n, x≥n. In addition, the front of the first teaching ruler, the second teaching ruler and the third teaching ruler are all marked with scales, and the back is not marked with scales. The parts of the first teaching ruler, the second teaching ruler and the third teaching ruler marked with scales are all opaque.
[0028] From the above content, it can be seen that the first teaching ruler, the second teaching ruler and the third teaching ruler included in the teaching ruler for significant figures gradually reduce the graduation value without shortening the measuring range, so that in the teaching process, when the first teaching ruler, the second teaching ruler or the third teaching ruler is used to measure the same target, the number of significant digits of the measurement result is completely different, which allows students to intuitively determine the impact of the change in the graduation value on the significant digits, thereby improving the user experience. BRIEF DESCRIPTION OF THE DRAWINGS
[0029] The drawings described herein are used to provide a further understanding of this specification and constitute a part of this specification. The illustrative embodiments and descriptions of this specification are used to explain this specification and do not constitute an improper limitation on this specification. In the drawings:
[0030] Figure 1 A schematic diagram of a teaching ruler for significant figures provided in one embodiment of the present specification;
[0031] Figure 2 A schematic diagram of the structure of a first teaching ruler provided in one embodiment of this specification;
[0032] Figure 3 A schematic diagram of the structure of a second teaching ruler provided in one embodiment of this specification;
[0033] Figure 4 A schematic diagram of the structure of a third teaching ruler provided in one embodiment of this specification;
[0034] Figure 5 A schematic diagram for comparing the front and back sides of a second teaching ruler provided in one embodiment of the present specification;
[0035] Figure 6 A schematic diagram of the appearance of a second teaching ruler provided in an embodiment of this specification
[0036] Figure 7 A schematic diagram of the appearance of a third teaching ruler provided in one embodiment of this specification;
[0037] Figure 8 A schematic diagram of the front and back appearance of a fourth teaching ruler provided in one embodiment of this specification;
[0038] Fig. 9 A schematic diagram of the structure of a ruler for teaching significant figures provided in one embodiment of the present specification.
[0039] Description of reference numerals:
[0040] A first teaching ruler 1; a second teaching ruler 2; a third teaching ruler 3; a front side of the second ruler 21; a back side of the second ruler 22; a scale portion 9; a fourth teaching ruler 4; a front side of the fourth ruler 41; a back side of the fourth ruler 42; and a graduation value mark 5. DETAILED DESCRIPTION
[0041] In order to make the purpose, technical solutions and advantages of this specification more clear, the technical solutions of this specification will be clearly and completely described below in combination with the specific embodiments of this specification and the corresponding drawings. Obviously, the described embodiments are only part of the embodiments of this specification, not all of the embodiments. Based on the embodiments in this specification, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.
[0042] In the description of the present invention, it should be noted that the term "or" is generally used in a meaning including "and / or", unless the content clearly indicates otherwise.
[0043] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installed", "connected" and "connected" should be understood in a broad sense. In addition, in the description of the present application, the terms "first", "second" and the like are only used to distinguish the description and cannot be understood as indicating or implying relative importance.
[0044] Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0045] Significant figures are multiple reliable figures plus one suspicious figure. When reading the measurement results of a measuring tool with a fixed graduation value, if different units are selected, the number of decimal places may be different, but the number of significant figures remains unchanged. For example, the length of an object can be recorded as 12.34mm or 1.234cm, and the number of significant figures is 4, but the number of decimal places is different.
[0046] However, during the teaching process, students often pay attention to the number of decimal places when reading and calculating, and arbitrarily change the number of significant figures. For example, when students change the unit of 12.34mm to cm, they will directly write it as 1.23cm, mistakenly believing that the number of decimal places should remain unchanged.
[0047] Therefore, this manual provides a teaching ruler for significant figures.
[0048] Range: The range that a measuring instrument can measure when testing various parameters.
[0049] Graduation value: The minimum value between two adjacent scales on a measuring tool.
[0050] The technical solutions provided by the embodiments of this specification are described in detail below in conjunction with the accompanying drawings.
[0051] Figure 1 The structural diagram of a teaching ruler for significant figures provided in one embodiment of this specification. Figure 1 As shown, the teaching ruler for significant figures includes a first teaching ruler 1 , a second teaching ruler 2 and a third teaching ruler 3 .
[0052] Preferably, the measuring range of the first teaching ruler 1 is n units, and the graduation value is 1 unit.
[0053] Preferably, 1≤n.
[0054] Preferably, 1≤n<10.
[0055] Figure 2 The structure diagram of the first teaching ruler 1 provided in one embodiment of the present specification is shown in FIG. Figure 2 As shown, the measuring range of the first teaching ruler 1 is 1 unit, and the graduation value is 1 unit.
[0056] Preferably, the unit may be meter, decimeter, centimeter, millimeter, inch, foot, etc., and this specification does not impose any limitation thereto.
[0057] Preferably, the measuring range of the second teaching ruler 2 is m units, and the graduation value is 0.1 unit.
[0058] Preferably, m≥n.
[0059] Figure 3 This is a schematic diagram of the structure of a second teaching ruler 2 provided in one embodiment of this specification. Figure 3 As shown, the measuring range of the first teaching ruler 1 is 1 unit, and the graduation value is 0.1 unit.
[0060] Preferably, the measuring range of the third teaching ruler 3 is x units, and the graduation value is 0.01 unit.
[0061] Preferably, x≥n.
[0062] Figure 4 This is a schematic diagram of the structure of a third teaching ruler 3 provided in one embodiment of this specification. Figure 4 As shown, the measuring range of the first teaching ruler 1 is 1 unit, and the graduation value is 0.01 unit.
[0063] Preferably, n, m and x are all integers.
[0064] Preferably, n=m=x.
[0065] Preferably, the front sides of the first teaching ruler 1 , the second teaching ruler 2 and the third teaching ruler 3 are all marked with scales, and the back sides are not marked with scales, and the parts of the first teaching ruler 1 , the second teaching ruler 2 and the third teaching ruler 3 marked with scales are all opaque.
[0066] Figure 5 This is a schematic diagram of the comparison of the front and back sides of the second teaching ruler 2 provided in one embodiment of this specification. Figure 5 As shown, the front side 21 of the second ruler is marked with scale, the back side 22 of the second ruler is not marked with scale, and the scale portion 9 of the second teaching ruler 2 marked with scale is opaque. Among them, the front side 21 of the second ruler is the front side of the second teaching ruler 2, and the back side 22 of the second ruler is the back side of the second teaching ruler 2.
[0067] Based on the content provided in the above embodiment, the teaching ruler for significant figures includes a first teaching ruler 1, a second teaching ruler 2 and a third teaching ruler 3. Among them, the range of the first teaching ruler 1 is n units, and the graduation value is 1 unit; the range of the second teaching ruler 2 is m units, and the graduation value is 0.1 unit; the range of the third teaching ruler 3 is x units, and the graduation value is 0.01 unit. 1≤n<10, m≥n, x≥n. In addition, the front of the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3 are marked with scales, and the back is not marked with scales. The parts of the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3 marked with scales are all opaque.
[0068] From the above content, it can be seen that the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3 included in the teaching ruler for significant figures gradually reduce the graduation value without shortening the measuring range, so that in the teaching process, when the first teaching ruler 1, the second teaching ruler 2 or the third teaching ruler 3 is used to measure the same target, the number of significant digits of the measurement result is completely different, which allows students to intuitively determine the impact of the change in the graduation value on the significant digits, thereby improving the user experience.
[0069] Preferably, n and / or m and / or x are integers.
[0070] Preferably, the reverse sides of the first teaching ruler 1 , the second teaching ruler 2 and the third teaching ruler 3 are all provided with graduation value marks 5 , and the graduation value marks 5 of the first teaching ruler 1 , the second teaching ruler 2 and the third teaching ruler 3 are different.
[0071] Preferably, the graduation value mark 5 is in the form of color and / or pattern and / or text.
[0072] Preferably, the graduation value mark 5 is displayed in the form of color, that is, the colors of the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3 are different.
[0073] Preferably, the front and back sides of any one of the first teaching ruler 1 , the second teaching ruler 2 or the third teaching ruler 3 are configured with the same color.
[0074] Figure 6 This is a schematic diagram of the appearance of a second teaching ruler 2 provided in one embodiment of this specification. Figure 6 As shown, the second teaching ruler 2 is light grey.
[0075] Figure 7 This is a schematic diagram of the appearance of a third teaching ruler 3 provided in one embodiment of this specification. Figure 7 As shown, the third teaching ruler 3 is dark grey.
[0076] Preferably, the teaching ruler for significant figures also includes a fourth teaching ruler 4 .
[0077] Preferably, the measuring range of the fourth teaching ruler 4 is y units, and the graduation value is 0.001 units, wherein y≥n.
[0078] Preferably, the front side of the fourth teaching ruler 4 is marked with scales, and the back side is marked with graduation value marks 5, and the graduation value marks 5 marked on the fourth teaching ruler 4 are different from the graduation value marks 5 marked on the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3.
[0079] Preferably, the portion of the fourth teaching ruler 4 marked with scale is opaque.
[0080] Figure 8 The front and back appearance diagram of the fourth teaching ruler 4 provided in one embodiment of this specification. Figure 8 As shown, the front side 41 of the fourth ruler is marked with scales, and the back side 42 of the fourth ruler is provided with graduation value marks 5, which are in the form of text. In addition, the graduation part 9 of the fourth teaching ruler 4 marked with scales is opaque.
[0081] Preferably, n=m=x=y.
[0082] Preferably, 1 unit is 1 meter.
[0083] Preferably, the front and back of each teaching ruler are both provided with the graduation value mark 5. Wherein, each teaching ruler includes a first teaching ruler 1 and / or a second teaching ruler 2 and / or a third teaching ruler 3 and / or a fourth teaching ruler 4.
[0084] For example, the graduation value mark 5 is in the form of color, and one unit is 1m. The front and back sides of the first teaching ruler 1 are both red, and the range is 1.0m, and the graduation value is 1.0m. The front and back sides of the second teaching ruler 2 are both yellow, and the range is 10.0dm, and the graduation value is 1.0dm. The front and back sides of the third teaching ruler 3 are both green, and the range is 100.0cm, and the graduation value is 1.0cm. The front and back sides of the third teaching ruler 3 are both blue, and the range is 1000.0mm, and the graduation value is 1.0mm. During the teaching process, when measuring a target object with a size of 289.3mm, the color of each teaching ruler with the back facing up can be used to select the teaching of the corresponding graduation value to measure the target object. Different teaching rulers will obtain different measurement results, and the number of significant digits corresponding to each measurement result is different. Specifically, the measurement result of the first teaching ruler 1 for the target object may be 0.2m or 0.3m, that is, there is only one significant digit ("2" or "3"), and it is a suspicious number. The measurement result of the second teaching ruler 2 for the target object may be 2.8dm or 2.9dm, that is, there are two valid digits, including a reliable digit "2" and a suspicious digit ("8" or "9"). The measurement result of the third teaching ruler 3 for the target object may be 28.8cm or 28.9cm, that is, there are three valid digits, including two reliable digits "28" and a suspicious digit ("8" or "9"). The measurement result of the fourth teaching ruler 4 for the target object may be 289.2mm, 289.3mm or 289.4mm, that is, there may be four valid digits, including three reliable digits "289" and a suspicious digit ("2", "3" or "4").
[0085] Preferably, the length units of the measuring ranges of the first teaching ruler 1 and / or the second teaching ruler 2 and / or the third teaching ruler 3 and / or the fourth teaching ruler 4 are different. As shown in the above example, in the above example, the length unit of the measuring range of the first teaching ruler 1 is m, the length unit of the measuring range of the second teaching ruler 2 is dm, the length unit of the measuring range of the third teaching ruler 3 is cm, and the length unit of the measuring range of the fourth teaching ruler 4 is mm.
[0086] Preferably, n=m=x=3.
[0087] Fig. 9 The structural diagram of a teaching ruler for significant figures provided in one embodiment of this specification. Fig. 9 As shown, the measuring ranges of the first teaching ruler 1 , the second teaching ruler 2 and the third teaching ruler 3 are all 3 units.
[0088] Preferably, the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3 are connected to each other, and when connected, any one of the first teaching ruler 1, the second teaching ruler 2 and the third teaching ruler 3 can be flipped between the front side and the back side.
[0089] It should also be noted that the terms "include", "comprises" or any other variations thereof are intended to cover non-exclusive inclusion, so that a process, method, commodity or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, commodity or device. In the absence of more restrictions, the elements defined by the sentence "comprises a ..." do not exclude the existence of other identical elements in the process, method, commodity or device including the elements.
[0090] Each embodiment in this specification is described in a progressive manner, and the same or similar parts between the embodiments can be referred to each other, and each embodiment focuses on the differences from other embodiments. In particular, for the system embodiment, since it is basically similar to the method embodiment, the description is relatively simple, and the relevant parts can be referred to the partial description of the method embodiment.
[0091] The above description is only an embodiment of this specification and is not intended to limit this specification. For those skilled in the art, this specification may have various changes and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of this specification should be included in the scope of the claims of this application.
Claims
1. A teaching ruler for significant figures, characterized in that: It includes a first teaching ruler, a second teaching ruler and a third teaching ruler; The measuring range of the first teaching ruler is n units, and the graduation value is 1 unit; 1≤n<10; The measuring range of the second teaching ruler is m units, and the graduation value is 0.1 unit; wherein m≥n; The measuring range of the third teaching ruler is x units, and the graduation value is 0.01 unit; wherein x≥n; The front sides of the first teaching ruler, the second teaching ruler and the third teaching ruler are all marked with scales, while the back sides are not marked with scales, and the parts of the first teaching ruler, the second teaching ruler and the third teaching ruler marked with scales are all opaque.
2. The teaching ruler for significant figures according to claim 1, characterized in that: n and / or m and / or x are integers.
3. The teaching ruler for significant figures according to claim 1, characterized in that: The reverse sides of the first teaching ruler, the second teaching ruler and the third teaching ruler are all provided with graduation value marks, and the graduation value marks of the first teaching ruler, the second teaching ruler and the third teaching ruler are different; The graduation value identification is in the form of color and / or pattern and / or text.
4. The teaching ruler for significant figures according to claim 1, characterized in that: The first teaching ruler, the second teaching ruler or the third teaching ruler has a front side and a back side with the same color; The first teaching ruler, the second teaching ruler and the third teaching ruler are configured with different colors.
5. The teaching ruler for significant figures according to claim 3, characterized in that: The teaching ruler for significant figures also includes a fourth teaching ruler; The fourth teaching ruler has a measuring range of y units and a graduation value of 0.001 units; wherein y≥n; The front side of the fourth teaching ruler is marked with scales, and the back side is marked with graduation value marks, and the graduation value marks marked on the fourth teaching ruler are different from the graduation value marks marked on the first teaching ruler, the second teaching ruler and the third teaching ruler.
6. The teaching ruler for significant figures according to any one of claims 1 to 5, characterized in that: n=m=x.
7. The teaching ruler for significant figures according to any one of claims 1 to 5, characterized in that: 1 unit is 1 meter.
8. The teaching ruler for significant figures according to any one of claims 1 to 5, characterized in that: The front and back sides of each teaching ruler are provided with the graduation value mark; The teaching rulers include a first teaching ruler and / or a second teaching ruler and / or a third teaching ruler.
9. The teaching ruler for significant figures according to any one of claims 1 to 5, characterized in that: n=3。 10. The teaching ruler for significant figures according to any one of claims 1 to 5, characterized in that: The length units of the measuring ranges of the first teaching ruler and / or the second teaching ruler and / or the third teaching ruler are different.