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Math Final
| Term | Definition |
|---|---|
| Automaticity | the quick recall of facts |
| Developmental Phases for Learning Basic Facts | counting, reasoning, retrieval |
| Counting | developmental phase of learning basic facts where students do not have facts memorized yet |
| Reasoning | developmental phase of learning basic facts where students no longer count everytime, but use other known facts |
| Retrieval | developmental phase of learning basic facts where facts are instantly retrieved from memory |
| Proportional | the size of each piece matches its value |
| Non-Proportional | the size of each piece does not match its value |
| Unitary Grouping Stage | a student counts by 1's |
| Base-Ten Grouping Stage | counts by groups of 10's and 1's |
| Equivalent Grouping Stage | can count using non-standard base-10 groupings |
| Five Levels of Place Value Understanding | single numeral, position names, face value, transition to place value, full understanding |
| Single Numeral | individual digits have no meaning |
| Position Names | no connection between individual digits and place value blocks |
| Face Value | they can represent digits with blocks |
| Transition to Place Value | still does not group 10s rods |
| Full Understanding | understands correlation between digits and place value blocks |
| Progression for Computational Fluency | direct modeling - > reasoning strategies - > algorithms |
| Direct Modeling | students who consistently need base-ten blocks as support |
| Reasoning Strategies | flexible methods to take away blocks and start using algorithms |
| Algorithms | a procedure students use to solve a problem |
| Grade Students Are Expected To Be Fluently Multiplying and Dividing within 100 | 3rd |