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Methodical recommendation:

Theory

Number Name Description
1. Introduction to powers and exponents Introduction about powers and exponents
2. What is an exponent? Example on exponents
3. Powers with positive and negative exponents Laws of negative exponents
4. Power1 or 0 Rules and laws with power 0 and 1
5. Grades of exponents Rules and examples on squaring and cubing of powers
6. Negative power Finding the value of negative exponents
7. Law of exponents Laws involving powers and exponents
8. The normal form of a number Normal number form, number 10 degree, positive and negative multipliers.
9. Degrees of single prime numbers The degrees of single digit prime numbers often used
10. Division of degrees with identical bases Dividing degrees with same bases.

Practice Questions

Number Name Type Difficulty Marks Description
1. Area of square 1st type - receptive easy 3 m. Calculate the area of square using exponents.
2. Area of circle 1st type - receptive easy 3 m. Calculate the area of circle.
3. Product of degrees 1st type - receptive easy 2 m. Using degree properties.
4. Product in the form of a degree 1st type - receptive easy 3.5 m. Record a work as a degree by definition.
5. Base and exponent 1st type - receptive easy 3 m. Determination of base and exponent.
6. Squaring of decimals 1st type - receptive easy 2 m. Exponentiation.
7. Product of degrees with identical bases 1st type - receptive easy 3 m. Representation of an expression as a product of two degrees with the same bases
8. The equation 2nd type - interpretation medium 5 m. The solution of the equation.
9. Power of a fraction 2nd type - interpretation medium 3 m. Calculation of the value of an expression.
10. Value comparison 2nd type - interpretation medium 1 m. Compare function values.
11. Raising a fraction in a degree (negative denominator) 2nd type - interpretation medium 5 m. The raising to a power of a fraction.
12. Decreasing (increasing) degrees 2nd type - interpretation medium 4 m. The arrangement of numbers in descending (ascending) order.
13. Numerical value of fraction 2nd type - interpretation medium 6 m. Calculation of expression value.
14. The normal form of an integer 2nd type - interpretation medium 1 m. Choose 10 steps.
15. The normal form of a number 2nd type - interpretation medium 2 m. Write a normal number form.
16. The product of three fractions with the same exponents 3rd type - analysis hard 6 m. Calculation of the value of an expression.
17. Degree properties 3rd type - analysis hard 6 m. The solution of the equation.
18. Common fraction 3rd type - analysis hard 6 m. The solution of the equation.
19. To find the unknown exponent(product) 3rd type - analysis hard 4 m. Finding an unknown exponent.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Comparison of numerical inequalities Other easy 1 m. Comparison of inequalities which contains power.
2. Base and power Other easy 0 m. Find the base and power of the given number.
3. Finding unknown base squared Other medium 4 m. Finding a monomial in parentheses (equal degrees and the product of an ordinary fraction by a degree).
4. Fraction value calculation Other medium 4 m. The calculation of the fraction value.
5. Equation reducible to linear Other hard 5 m. Finding an unknown exponent.
6. Finding the unknown exponent(quotient) Other hard 4 m. Finding an unknown exponent.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test 00:15:00 medium 13 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework 00:20:00 medium 17.5 m.
2. Homework 00:20:00 hard 19 m.
3. Progress test 00:20:00 hard 14 m.
4. Progress test 00:20:00 hard 25 m.