Foundations for Learning Mathematics | |
Getting Comfortable with Mathematics | |
Problem-Solving | |
Patterns | |
Representation | |
Reasoning and Proof | |
Communication | |
Connections | |
Fundamental Concepts | |
Sets | |
Algebraic Thinking | |
Numeration | |
The Four Fundamental Operations of Arithmetic | |
Understanding Addition | |
Understanding Subtraction | |
Understanding Multiplication | |
Understanding Division | |
Number Theory | |
Divisibility and Related Concepts | |
Prime and Composite Numbers | |
Greatest Common Factor and Least Common Multiple | |
Extending the Number System | |
Integers | |
Fractions and Rational Numbers | |
Understanding Operations with Fractions | |
Beyond Integers and Fractions: Decimals, Exponents, and Real Numbers | |
Proportional Reasoning | |
Ratio and Proportion | |
Percents | |
Uncertainty: Data and Chance | |
The Process of Collecting and Analyzing Data | |
Going Beyond the Basics | |
Concepts Related to Chance | |
Counting and Chance | |
Geometry as Shape | |
Basic Ideas and Building Blocks | |
Two-Dimensional Figures | |
Three-Dimensional Figures | |
Geometry as Transforming Shapes | |
Congruence Transformations | |
Symmetry and Tessellations | |
Similarity | |
Geometry as Measurement | |
Systems of Measurement | |
Perimeter and Area | |
Surface Area and Volume | |
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