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Mental Math Grade 6 Teacher's Guide

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Table of Contents<br />

<strong>Mental</strong> <strong>Math</strong> in the Elementary <strong>Math</strong>ematics Curriculum .............1<br />

Definitions and Connections ...................................6<br />

Rationale ..................................................7<br />

Teaching <strong>Mental</strong> Computation Strategies .........................7<br />

Introducing Thinking Strategies to Students .......................8<br />

Practice and Reinforcement ..................................10<br />

Response Time ............................................11<br />

Struggling Students and Differentiated Instruction .................12<br />

Combined <strong>Grade</strong> Classrooms .................................13<br />

Assessment ...............................................14<br />

Timed Tests of Basic Facts ...................................14<br />

Parents and Guardians: Partners in Developing <strong>Mental</strong> <strong>Math</strong> Skills ....15<br />

Fact Learning ..............................................17<br />

Fact Learning - Addition, Subtraction, Multiplication and Division . . 19<br />

Reviewing Facts and Fact-Learning Strategies ...............19<br />

Addition .........................................19<br />

Subtraction.......................................20<br />

Multiplication and Division ...........................20<br />

Multiplication Facts With Products to 81 ................23<br />

Division Facts With Products to 81 ....................24<br />

<strong>Mental</strong> Computation .........................................25<br />

<strong>Mental</strong> Computation - Addition ............................27<br />

Front-End Addition ................................27<br />

Break Up and Bridge ...............................28<br />

Finding Compatibles ...............................29<br />

Compensation ....................................30<br />

Make 10s, 100s or 1000s ...........................31<br />

<strong>Mental</strong> Computation - Subtraction .........................32<br />

Back Down Through 10/100/1000 .....................32<br />

Up Through 10/100/1000 ...........................33<br />

Compensation ....................................34<br />

Balancing For a Constant Difference ...................35<br />

Break Up and Bridge ...............................36

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