Math Concept |
Beginning |
Emergent |
Capable |
Advanced |
Number Concepts and Operations
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- Sequence (Count, Read, Order, Integers) |
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Counting
Labelling
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Hundred Square
2-digit labelling
Washline
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Sequencer |
Rational and irrational numbers |
- Quantity (Place Value, Estimation)
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Fish Tank
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H-T-U Values |
Rounding
Estimating
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- Addition and Subtraction |
Card Shuffle |
Workout |
Sequencer |
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- Multiplication and Division |
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Grid Work |
Quiz Game |
Division |
- Fractions, Decimals, Percent, Ratio |
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Add & Subtract Fractions |
Multiply & Divide Fractions |
Converting Fractions to Decimals |
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Patterns and Relations |
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- Repeating and changing patterns |
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Beads
Butterflies
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Fibonacci Sequence |
- Equal or not equal equations |
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Greater/Less
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- Equations with variables |
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Bear Balance |
Balance |
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- Pattern rules (tables, charts) |
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Shape and Space - Measurement |
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Euclidean Geometry |
- linear and perimeter |
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Types of triangles |
Circles |
Pi |
- area |
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Polygons |
- volume |
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Cylinders |
- capacity |
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- temperature |
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- time |
Clock |
24-hr clock |
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- angles |
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Angles - BP |
Angles |
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- mass |
Simple Scale |
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Gravity and Newton |
3-D Objects & 2-D Shapes |
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- describe attributes |
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Polygons |
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- comparisons and sorting |
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Comparing
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Polygons |
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- constructions of 2-D shapes |
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Parallel and Perpendicular Lines |
Pythagorean theorem |
- constructions of 3-D objects |
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Polyhedrons |
Transformations
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- Translation, rotation, reflection
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Tangrams |
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- Cartesian plane - plot coordinates |
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Cartesian Plane |
Calculus
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Statistics and Probability |
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Data Analysis |
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- Gather, record, organize, discuss data |
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- Construct graphs |
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- Many-to-one correspondence 10:1 |
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- Interpret graphs |
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Mean, mode, median, range |
Mean Machine |
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Chance and Uncertainty |
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- theoretical probability (table or diagram) |
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Game Theory |
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- possible outcomes (percent, ratio, fraction) |
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Percent |
Ratios |
Dependent and Independent Events |
- experimental probability (testing) |
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Basic Probability |
Compound Events |
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