Problem-Solving:
1. Make sense of problems, use appropriate tools strategically and persevere in solving them.
2. Ability to form conclusions on the basis of pattern, observations, examples, or experiments (inductive reasoning).
3. Ability to form conclusions from one or more given statements (deductive reasoning).
LINKS:
Elementary Algebra 2e 3.1 Use a Problem-Solving Strategy, openstax
https://openstax.org/books/elementary-algebra-2e/pages/3-1-use-a-problem-solving-strategy
Intermediate Algebra 2e 2.2 Use a Problem Solving Strategy, openstax
https://openstax.org/books/intermediate-algebra-2e/pages/2-2-use-a-problem-solving-strategy
Prealgebra 2e 9.1 Use a Problem Solving Strategy, openstax
https://openstax.org/books/prealgebra-2e/pages/9-1-use-a-problem-solving-strategy
Whole Numbers
4. Ability to solve problems using deductive reasoning.
5. An understanding of addition, subtraction, multiplication and division models of whole numbers.
6. The ability to use algorithms for addition, subtraction, multiplication and division of whole numbers.
Numeration Systems
7. Understanding of different numeration systems of the past and present.
8. The ability to round numbers and estimate computations.
9. The ability to add and subtract numbers in nondecimal positional systems (example: time).
Number Theory
10. Understanding of definitions for: factor, multiple, unit, prime, composite, even and odd numbers.
11. The knowledge and ability to apply tests for divisibility by: 2, 3, 4, 5, 6, 9, 10.
12. The ability to calculate Greatest Common Divider, and Least Common Multiple.
Fractions and Rational Numbers
13. Understanding of fraction concepts: models for fractions and equivalent fractions
14. Ability to perform operations with fractions.
15. Ability to reason proportionally.
Geometric Figures
16. Use of applicable definitions and properties to compute solutions to problems involving rays, angles, angle measure(s), vertical angles, triangles, parallel lines and a transversal.
17. The ability to identify polygons.
18. The ability to properly classify triangles and quadrilaterals.
19. Ability to recognize pyramid, prism, cube, cone, cylinder.
Transformations in Geometry
20. The ability to perform/identify the four rigid motions.
21. Ability to identify congruent figures, dilation, similar figures.
22. The ability to perform/identify reflection, rotation, and point symmetry.
OPTIONAL: Ability to construct tiling’s with irregular polygons or Escher-like Design.
Statistics
23. Ability to create and analyze dot plots, stem and leaf plots, histogram, bar graphs, line graphs and box and whisker plots.
24. Define and calculate the mean, median, and mode of data set.
25. Define and calculate the range, quartiles, IQR, and outliers of data set.
