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Aim4A Worksheets

Grade 7 - Mathematics

Topic 1. Real Numbers

ChapterDate
1. Natural Numbers.
2. Whole Numbers.
3. Integers.
4. Rational Numbers.
5. Radicals or Square Root - I.
6. Square Root - II.
7. Word Problems On Square Roots - I.
8. Word Problems On Square Roots - II.
9. Word Problems On Square Roots - III.
10. Properties of Square Roots of Numbers - I.
11. Properties of Square Roots of Numbers - II.
12. Properties of Square Roots of Numbers - III.
13. Properties of Square Roots of Numbers - IV.
14. Properties of Square Roots of Numbers - V.
15. Properties of Square Roots of Numbers - VI.
16. Properties of Square Roots Review.
17. Review - II.
18. Scientific Notation for Natural Numbers.
19. Scientific Notation for Decimal Numbers.
20. Scientific Notation for Fractional Numbers.
21. Comparing Two Scientific Notation Numbers.
22. Multiplying Numbers Written in Scientific Notation.
23. Dividing Numbers Written in Scientific Notation.
24. Convert Scientific Notation to Standard Notation (Natural Numbers).
25. Convert Scientific Notation to Standard Notation (Decimal Number).
26. Convert Scientific Notation to Standard Notation (Fraction).
27. Addition and Subtraction of Two Numbers in Scientific Notation.
28. Review - Real Numbers.

Topic 2. Algebraic Expressions

ChapterDate
1. Value of an Expression - I.
2. Value of an Expression - II.
3. Value of an Expression - III.
4. Value of an Expression - IV.
5. Degree of a Monomial.
6. Degree of a Polynomial.
7. Zero of a Polynomial.
8. Addition of Monomials.
9. Subtraction in Monomials.
10. Simplified Form of a Polynomial.
11. Arranging a Polynomial in Ascending Order.
12. Arranging a Polynomial in Descending Order.
13. Addition of Polynomials.
14. Additive Inverse of a Polynomial.
15. Subtraction of Polynomials.
16. Algebraic Expressions Review - I.
17. Algebraic Expressions Review - II.
18. Algebraic Expressions Review - III.

Topic 3. Exponents and Powers

ChapterDate
1. Coefficient.
2. Find the Value of the Expression.
3. Write the Given Product in Exponent Form.
4. Integer Exponents.
5. Negative Exponents.
6. Fractional or Rational Exponents.
7. Laws of Exponents - I.
8. Laws of Exponents - II.
9. Laws of Exponents - III.
10. Laws of Exponents - IV.
11. Laws of Exponents - V.
12. Power With Exponent Zero.
13. Express in Power Notation.
14. Simplification - I.
15. Fill in the Blanks.
16. Word Problems - Negative Exponents.
17. Simplification - II.
18. Find x Value - I.
19. Word Problems - Exponents.
20. Find x Value - II.
21. Word Problems - Exponents - 2.
22. Properties of Exponents.
23. Laws of Exponents Review - II.
24. Exponents and Powers Review.

Topic 4. Special Products and Expansions

ChapterDate
1. Multiplication of a Multinomial by a Monomial (Horizontal Method).
2. Multiplication of a Multinomial by a Monomial (Vertical Method).
3. Multiplication of Two Binomials (Horizontal Method).
4. Multiplication of Two Binomial (Vertical or Column Method).
5. Multiplication of Two Binomials - Using a Table.
6. Multiplication of Two Binomials - II.
7. Fill in the Blanks - I.
8. Simplification - I.
9. Simplification - II.
10. Formula for (a+b)^2 - Square of a Binomial.
2.htm>11. Formula for (a-b)2.
12. Fill in the Blanks - II.
13. Fill In the Blanks - III.
2.htm>14. Solving Problems Using Formula for (a+b)2.
2-II.htm>15. Solving Problems Using Formula for (a+b)2 - II.
2.htm>16. Solving Problems Using Formula for (a-b)2.
2-b2DifferenceofTwoSquares.htm>17. Formula for a2-b2 Difference of Two Squares.
2-b2.htm>18. Solving Problems Using Formula for a2-b2.
19. Solving Problems Using Formula for (a+b)(a-b).
20. Multiplication of a Multinomial by a Monomial (Geometrical Proof).
21. Multiplication of Two Binomials (Geometrical Proof).
2(GeometricalProof).htm>22. Finding the Formula (a+b)2 (Geometrical Proof).
2(GeometricalProof).htm>23. Finding the value of (a-b)2 (Geometrical Proof).
24. Finding the value of (a+b) (a-b) (Geometrical Proof).
25. Identities - I.
26. Highest Common Factor - I.
27. Highest Common Factor - II.
28. Factorization - I.
29. Factorization - II.
30. Factorization - III.
31. Common Binomial Factor - I.
32. Common Binomial Factor - II.
33. Factorization by Rearrangement of Terms.
34. The Square Root of a Monomial.
35. Finding the Factors of a Trinomial That is a Perfect Square - I.
36. Finding the Factors of a Trinomial That is a Perfect Square - II.
37. Find The Factors of Difference of Two Squares - I.
38. Find The Factors of Difference of Two Squares - II.
39. Find The Factors of Difference of Two Squares - III.
40. Find The Factors of Difference of Two Squares - IV.
41. Division of a Monomial by a Monimal - I.
42. Division of a Monomial by a Monimal - II.
43. Division of Binomial by a Monomial.
44. Division of Multinomial by Monomial.
45. Division of Multinomial by Binomial.
46. Division of Multinomial by Multinomial.
3+b3.htm>47. Formula for a3 + b3.
3-b3.htm>48. Formula for a3 - b3.
49. Special Products and Expansions Review - I.
50. Special Products and Expansions Review - II.
51. Formulas: Special Products and Expansions.

Topic 5. Formulae and Their Uses

ChapterDate
1. Subject of the Formula.
2. State the Formula in Words.
3. Expressing the Principles Stated in Words in Terms of Symbols.
4. Changing the Subject of the Formula.
5. Word Problems.
6. Temperature Conversion using Formula - Fahrenheit and Celcius.
7. Construct the Formula.
8. Review - I.
9. Review - II.
10. Formulas.

Topic 6. Simple Equations and Inequations

ChapterDate
1. Introduction.
2. Solution of Simple Equations - I.
3. Solution of Simple Equations - II.
4. Solution of Simple Equations - III.
5. Solution of Simple Equations - IV.
6. Solution of Simple Equations - V.
7. Solution of Simple Equations - VI.
8. Equations With Fractional Coefficients - I.
9. Equations With Fractional Coefficients - II.
10. Equations With Decimal Coefficients - I.
11. Equations With Decimal Coefficients - II.
12. Review - VI.
13. Review - VII.
14. Review - VIII.
15. Solution of Simple Equations - VII.
16. Solution of Simple Equations - VIII.
17. Word Problems - Numbers.
18. Word Problems - Age.
19. Word Problems - Distance, Money, Fractions.
20. Word Problems - Digits.
21. Speed and Distance Word Problems.
22. Terminating Decimals.
23. Non-Terminating Recurring Decimals - I.
24. Non-Terminating Recurring Decimals - II.
25. Non-Terminating Recurring Decimals - III.
26. Writing Pure Recurring Decimal into Rational Number Form - I.
27. Writing Pure Recurring Decimal into Rational Number Form - II.
28. Writing Pure Recurring Decimal into Rational Number Form - III.
29. Writing Mixed Recurring Decimal into Rational Number Form - I.
30. Writing Mixed Recurring Decimal into Rational Number Form - II.
31. Writing Mixed Recurring Decimal into Rational Number Form - III.
32. Converting Recurring Decimal into Non-Recurring Decimal - I.
33. Converting Recurring Decimal into Non-Recurring Decimal - II.
34. Convert Terminating Decimals into Non-Terminating Recurring Decimals.
35. Inequations: Properties of Inequalities - I.
36. Solving Equations Using Properties of Inequalities - I.
37. Inequations: Properties of Inequalities - II.
38. Solving Equations Using Properties of Inequalities - II.
39. Inequations: Properties of Inequalities - III.
40. Solving Equations Using Properties of Inequalities - III.
41. Inequations: Properties of Inequalities - IV.
42. Solving Equations Using Properties of Inequalities - IV.
43. Inequation: Properties of Inequalities - V.
44. Solving Equations Using Properties of Inequalities - V.
45. Solving Inequations - I.
46. Solving Inequations - II.
47. Solving Inequations - III.
48. Solving Inequations - IV.
49. Solving Inequations - V.
50. Solving Inequations - VI.
51. Simple Equations Review - I.
52. Simple Equations Review - II.
53. Real Numbers Word Problems.
54. Real Numbers Review - I.
55. Real Numbers Review - II.
56. Review - Equations and Inequations.

Topic 7. Goemetry - Triangles

ChapterDate
1. Triangles Review.
2. Properties of Triangles.
3. Polygons and Triangles.
4. Perimeter of a Triangle.
5. Classifying Triangles by Sides.
6. Classifying Triangles by Angles.
7. Triangle Sum Theorem.
8. Relation Between Sides and Angles of a Triangle.
9. Congruency of Triangles.
10. Circumcenter and Incenter.
11. Excentres, Median, Centroid, Altitude and Orthocentre.
12. Construction of Circumcircle.
13. Review - I.
14. Review - II.
15. Review - III.

Topic 8. Geometry - Quadrilaterals

ChapterDate
1. Quadrilaterals-Review.
2. Problems on Quadrilaterals - I.
3. Problems on Quadrilaterals - II.
4. Problems on Quadrilaterals - III.
5. Types of Quadrilaterals.
6. Parallelogram.
7. Rectangle.
8. Rhombus.
9. Square.
10. Kite.
11. Trapezoid.
12. Trapezoid.
13. Problems on Parallelogram - I.
14. Problems on Parallelogram - II.
15. Relation Between Quadrilaterals.
16. Review - I.
17. Review - II.
18. Review - III.
19. Review - IV.

Topic 9. Geometry and Measurement

ChapterDate
1. Important Formulas.
2. The Area of Triangle.
3. Area of Quadrilateral - I.
4. Area of Quadrilateral - II.
5. Area of Parallelogram - I.
6. Area of Parallelogram - II.
7. Area of Rhombus - I.
8. Area of Rhombus - II.
9. Area of Square - I.
10. Area of a Square - II.
11. Area of a Trapezoid - I.
12. Area of a Trapezoid - II.
13. Circumference of a Circle - I.
14. Circumference of a Circle - II.
15. Diameter of a Circle - I.
16. Area of a Circle - I.
17. Diameter of a Circle - II.
18. Area of a Circle - II.
19. The Area of a Circular Path - I.
20. The Area of a Circular Path - II.
21. The Area of a Circular Path - III.
22. Length of the Sector.
23. The Area of a Sector - I.
24. The Area of a Sector - II.
25. Perimeter of a Sector.
26. Angle of a Sector.
27. Perimeter of the Triangle.
28. Perimeter of a Quadrilateral.
29. Perimeter of the Trapezoid.
30. Perimeter of the Parallelogram.
31. Perimeter of the Rhombus.
32. Perimeter of the Rectangle.
33. Perimeter of the Square.
34. Area of Triangle - Using Pictures.
35. Perimeter of Triangle - Using Pictures.
36. Area of Quadrilateral - Using Pictures.
37. Perimeter of Quadrilaterals - Using Pictures.
38. Finding Area of Polygons.
39. Finding Perimeter of Polygons.
40. Pythagorean Theorem.
41. Area of the Four Walls of a Room - I.
42. Area of the Four Walls of a Room - II.
43. Area of the Four Walls of a Room - III.
44. Area of Rectangular Path - I.
45. Area of Rectangular Path - II.
46. Area of Rectangular Path - III.
47. Area of Rectangular Path - IV.
48. Surface Area of Cuboid - I.
49. Surface Area of Cuboid - II.
50. Word Problems on Cuboid.
51. Surface Area of Cube - I.
52. Surface Area of Cube - II.
53. Word Problems on Cube.
54. Volume of Cuboid - I.
55. Volume of Cuboid - II.
56. Volume of the Cube - I.
57. Volume of Cuboid - III.
58. Ratio of Two Cuboids.
59. Volume of the Cube - II.
60. Word Problems on Cuboid - I.
61. Review - I.
62. Review - II.
63. Review - III.
64. Review - IV.
65. Review - V.
66. Review - VI.

Topic 10. Statistics

ChapterDate
1. Line Plots.
2. Organizing Data in Venn Diagrams.
3. Stem-and-Leaf Plots.
4. Box-and-Whisker Plot.
5. Making a Box-and-Whisker Plot.
6. Bar Diagram (Vertical).
7. Bar Diagram (Horizontal).
8. Line Graphs.
9. Pie Diagram.
10. Problems on Pie Diagram.

Topic 11. Geometry - Constructions

ChapterDate
1. Construction of Triangles - I.
2. Construction of Triangles - II.
3. Construction of Triangles - III.
4. Construction of Triangles - IV.
5. Construction of Triangles - V.
6. Construction of Triangles - VI.
7. Construction of Quadrilaterals - II.
8. Construction of Quadrilaterals - III.
9. Construction of Quadrilaterals - IV.
10. Construction of Quadrilaterals - V.
11. Construction of Parallelogram - I.
12. Construction of Parallelogram - II.
13. Construction of Trapezium.
14. Construction of Rhombus - I.
15. Construction of Rhombus - II.
16. Construction of Rhombus - III.
17. Construction of Rectangle - I.
18. Construction of Quadrilaterals - I.
19. Construction of Rectangle - II.
20. Construction of Square - I.
21. Construction of Square - II.

Topic 12. Review Tests

ChapterDate
1. Final Review - I.
2. Final Review - II.
3. Final Review - III.
4. Final Review - IV.
5. Final Review - V.
6. Final Review- VI.
7. Final Review - VII.
8. Final Review - VIII.
9. Final Review - IX.
10. Final Review - X.
11. Grade 7 Math Placement Test 1.
12. Grade 7 Math Placement Test 2.
13. Grade 7 Math Placement Test 3.
14. Grade 7 Math Placement Test 4.
15. Grade 7 Math Placement Test 5.

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