UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Recalling the types and the properties of a quadrilateral | Learn some basic properties of quadrilateral. |
| 2. | Theorem I, II and III | Learn to prove the parallelogram theorems I, II and III. |
| 3. | Theorems IV and V | Learn to prove the parallelogram theorems IV and V. |
| 4. | Theorems VI and VII | Learn to prove the parallelogram theorems VI and VII. |
| 5. | Another Condition for a Quadrilateral to be a Parallelogram | Learn to prove the condition of a quadrilateral to be a parallelogram. |
| 6. | The Mid-point Theorem | Learn to prove the mid-point theorem and the converse of mid-point theorem. |
| 7. | Example problems based on theorems | Learn how to do the problems based on the theorems of quadrilaterals. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find all the angles of a quadrilateal | 3rd type - analysis | easy | 2 m. | Practise problem to find all the angles of a quadrilateral. |
| 2. | Identify the correct theorem | 1st type - receptive | easy | 3 m. | In this exercise, identify the correct theorems of quadrilateral. |
| 3. | Identify the true statements | 3rd type - analysis | easy | 3 m. | In this exercise, identify the true statements for the given condition. |
| 4. | Choose the correct answer | 3rd type - analysis | medium | 4 m. | In this exercise, choose the correct answer using theorems of quadrilaterals. |
| 5. | Prove the given statement | 3rd type - analysis | medium | 2 m. | In this exercise, prove the given statement using theorems. |
| 6. | Which of the following are correct? | 3rd type - analysis | medium | 4 m. | Practise problem to choose the correct answer using the given statement. |
| 7. | Find the measure of the given angle | 3rd type - analysis | medium | 3 m. | Work on the problem to find the measure of the angle using the given information. |
| 8. | Do the problem! | 3rd type - analysis | medium | 4 m. | Work on the problem to find the length of the side, using given information. |
| 9. | Fill in the blanks | 3rd type - analysis | medium | 4 m. | Fill in the blanks using the given conditions and values. |
| 10. | Drag the correct answers | 3rd type - analysis | hard | 5 m. | Work on the problem to show the given using theorems of quadrilateral. |
| 11. | Find the following | 3rd type - analysis | hard | 6 m. | Practise problem to find the correct answers using the given information. |
| 12. | Determine the length of the line segment | 3rd type - analysis | hard | 5 m. | Work on the problem to find the length of the line segment using the given information. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the length of "PQ" | Other | easy | 1 m. | Practise problem to find the length of PQ using mid-point theorem. |
| 2. | Show the given statement | Other | medium | 4 m. | In this exercise, choose the correct answer to show the given statement. |
| 3. | Show the statement using quadrilateral theorem | Other | medium | 4 m. | In this exercise, show the given statement using the quadrilateral theorems. |
| 4. | Prove and upload as a picture | Other | medium | 4 m. | In this exercise, prove the given statement using quadrilateral theorems. |
| 5. | Show triangle CPD is an equilateral triangle | Other | medium | 4 m. | Show the given triangle is an equilateral triangle using the given information. |
| 6. | Property of a square | Other | hard | 5 m. | In this exercise, prove the given property in a paper and upload it as a picture. |
| 7. | Mid-point theorem/Converse of mid-point theorem | Other | hard | 5 m. | Prove the given statement and upload as a picture. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 10 m. | |
| 2. | Training test | 00:20:00 | medium | 11 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 11 m. | |
| 2. | Homework | 00:20:00 | medium | 12 m. | |
| 3. | Progress test | 00:25:00 | medium | 15 m. | |
| 4. | Progress test | 00:25:00 | hard | 9 m. | |
| 5. | Progress test | 00:25:00 | hard | 10 m. |
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