Mental Math
Mental Math
Fact Learning Mental Computation
Estimation
Grade 5 Teacher's Guide
b??????=m????~?? ml=_??=OMMM
`?~??????????I=mb=`N^=TkU q??W=EVMOF=PSU=QSMM c~?W=EVMOF=PSU=QSOO ???K???K??K?~L???
2007
Table of Contents
Mental Math in the Elementary Mathematics Curriculum . . . . . . . . . . . . . 1 Definitions and Connections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Rationale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Teaching Mental Computation Strategies . . . . . . . . . . . . . . . . . . . . . . . . . 7 Introducing Thinking Strategies to Students . . . . . . . . . . . . . . . . . . . . . . . 8 Practice and Reinforcement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Response Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Struggling Students and Differentiated Instruction . . . . . . . . . . . . . . . . . 12 Combined Grade Classrooms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Timed Tests of Basic Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Parents and Guardians: Partners in Developing Mental Math Skills . . . . 15 Fact Learning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Reviewing Addition and Subtraction Facts and Fact-Learning Strategies . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Multiplication Fact-Learning Strategies . . . . . . . . . . . . . . . . . . . . . 21 Multiplication Facts With Products to 81 . . . . . . . . . . . . . . . . . . . . 24 Division Facts with Dividends to 81 . . . . . . . . . . . . . . . . . . . . . . . . . 25 Mental Computation ? Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Front-End Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Break Up and Bridge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Finding Compatibles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 Make 10s, 100s or 1000s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Mental Computation ? Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Back Down Through 10/100/1000 . . . . . . . . . . . . . . . . . . . . . . . . . 37 Up Through 10/100/1000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Balancing for a Constant Difference . . . . . . . . . . . . . . . . . . . . . . . . 42 Break Up and Bridge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Mental Computation ? Multiplication and Division . . . . . . . . . . . . . . . . . . 45 Using Multiplication Facts for Tens, Hundreds and Thousands . . . 45 Multipying by 10, 100 and 1000 Using a
Place-Value-Change Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Dividing by 10, 100 and 1000 Using a
Place-Value-Change Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Multiplying by 0.1, 0.01, and 0.001 Using a
Place-Value-Change Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Front-End Multiplication (Distributive Principle) . . . . . . . . . . . . . . . . 51 Compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Estimation ? Addition, Subtraction, Multiplication and Division . . . . . . . . 55 Rounding in Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . 56 Rounding with "Fives" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Rounding in Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Adjusted Front-End Estimation for Addition and Subtraction . . . . . 61
Appendixes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 A. Thinking Strategies in Mental Math . . . . . . . . . . . . . . . . . . . . . 65 B. Scope and Sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- mental math grade 9 mathematics manitoba education
- mental maths worksheet for class 3 pdf
- daily mental maths free math worksheets resources
- year six mental arithmetic test 1
- practical approaches to developing mental maths strategies
- teaching strategies for mental mathematics foundation phase
- mental maths strategies for multiplication and division
- mental math grade 8 mathematics province of manitoba
- copyright notice
- new wave mental maths book f answers
Related searches
- mental math worksheets grade 6
- grade 5 mental math worksheets
- mental math problems 5th grade
- mental math worksheets grade 5
- printable mental math problems
- mental math worksheets grade 2
- mental math worksheets pdf
- mental math worksheets
- mental math practice problems
- mental math worksheets grade 3
- mental math practice worksheets
- mental math games practice