Területmodell: bevezetés
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Letöltés
Beágyazás
Témák
- Factors
- Termékek
- Area Model
- Szorzás
- Partial Products
Leírás
Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into two areas to discover the distributive property.
Lehetséges tanulási célok
- Recognize that area represents the product of two numbers.
- Develop and justify a strategy that uses the area model to simplify a multiplication problem.
- Represent a multiplication problem as the proportional area of a rectangle.
- Looks for patterns in the total area calculation.
Standards Alignment
Common Core - Math
2.NBT.A.2
Count within 1000; skip-count by 5s, 10s, and 100s.
2.OA.C.4
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
3.MD.C.7
Relate area to the operations of multiplication and addition.
3.MD.C.7c
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.C.7d
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
3.OA.A.1
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
3.OA.A.3
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
3.OA.B.5
Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
4.OA.A.1
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Verzió 1.2.1
Bevezető videó
Jelentkezzen be a bevezető videó megtekintéséhez
Tanárok által megosztott aktivitások
| Middle School Math Sim Alignment |
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Amanda McGarry | Kp.al. | Egyéb | Matematika | |
| PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) |
|
Diana López | Kp.al. Ó-5. o. |
Lab Guided Discuss Hf Dem |
Csillagászat Fizika Kémia Matematika |
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| Area Model Intro Simulation | Nailah Shah-Taylor | Ó-5. o. | Discuss Guided |
Matematika |
HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.
iPad:
iOS 12+ Safari
iPad compatible sims
Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.
Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims
Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.
Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.
Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.
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