Mathematical skills learners must develop

1. Basic arithmetic skills: Learners should be able to perform addition, subtraction, multiplication, and division accurately and efficiently.

2. Problem-solving skills: Learners should be able to analyze and solve mathematical problems using logical reasoning and critical thinking.

3. Understanding of concepts: Learners should have a solid understanding of mathematical concepts such as fractions, decimals, percentages, ratios, and proportions.

4. Algebraic skills: Learners should be able to solve equations, manipulate algebraic expressions, and understand concepts such as variables, functions, and graphs.

5. Statistical analysis skills: Learners should be able to collect, organize, and analyze data using statistical methods such as mean, median, mode, and standard deviation.

6. Geometry skills: Learners should understand geometric concepts such as lines, angles, triangles, polygons, and circles, as well as be able to use formulas to calculate area, perimeter, and volume.

7. Trigonometry skills: Learners should be able to use trigonometric functions, such as sine, cosine, and tangent, to solve problems involving right triangles and angles.

8. Calculus skills: Learners should be able to understand and apply calculus concepts such as limits, derivatives, and integrals to solve problems related to rates of change and accumulation.

9. Logical reasoning skills: Learners should be able to apply logical reasoning skills to solve mathematical puzzles and proofs.

10. Communication skills: Learners should be able to communicate mathematical ideas clearly and accurately, both verbally and in written form.