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Download Model Strategy Algorithm Summary 2016
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Building Procedural Fluency from Conceptual Understanding Grade & Fluency K Add and Subtract Within 5 1 Add and Subtract Within 10 Models Learning Labs and Math Focus Strategies Fall 2016 Algorithms Number lines Number bonds 5 frames 10 frames Dot Cards Unifix Cubes Bears Rekenreks Dice Straws Hundreds Chart Fingers Counters Counting On One More and One Less Subitizing Counting all of the manipulatives Composing Decomposing Hidden Partners Acting Out ___ + ___ = ___ ___ = ___ + ___ ___ - ___ = ___ ___ = ___ - ___ Number lines Number bonds 10 frames Dot Cards Unifix Cubes Rekenreks Hundreds Chart Fingers Counters Drawings Tape Diagram Balance with manipulatives Doubles Part-part-whole Doubles + 1, +2 Add 1, Add 2 Partners of 10 / Ten way Counting on Fact Families/ Turn Around Facts Make 10 Commutative Property Associative Property ___ + ___ = ___ ___ = ___ + ___ ___ - ___ = ___ ___ = ___ - ___ ___+___=___+___ Building Procedural Fluency from Conceptual Understanding 2 Add and Subtract Within 20 3 Multiply and Divide Within 100 4 Multiplication Number lines Number bonds 10 frames Unifix Cubes Hundreds Chart Fingers Counters Drawings Tape Diagram Place Value Chart Place Value Disks Base 10 Blocks Bundling Straws Math Links Money Number lines Number bonds 10 frames Unifix Cubes Hundreds Chart Fingers Counters Tape Diagram Array Equal Groups Number lines Number bonds Hundreds Chart Tape Diagram Array Equal Groups Place Value Chart Base Ten Blocks Place Value Disks Area Model Array Learning Labs and Math Focus Fall 2016 Make 10 Skip Counting Decompose Compose Add 1, Add 2 Count Up, Count Back Doubles Doubles +1, -1 Related Facts Ten Partners Part-part-whole Expanded Form ___ + ___ = ___ ___ = ___ + ___ ___ - ___ = ___ ___ = ___ - ___ ___+___=___+___ ___<___ ___>___ ___=___ Repeated Addition Skip Counting Double it Commutative Property Associative Property Counting on Written form for composing and decomposing (3 fours + 1 four = 4 fours) ___ x ___ = ___ ___ = ___ x ___ ___ ÷ ___ = ___ ___ = ___ ÷ ___ Commutative Property Associative Property Distributive Property Regrouping Partial Products Decomposing Multiples Skip Counting Repeated Addition ___x___=___ (written either horizontally or vertically) Building Procedural Fluency from Conceptual Understanding 5 Multi-digit Multiplication Same as Middle School Math Strategies Class 6 Add, Subtract, Multiply and Divide Fractions and Decimals 7 Add and Subtract integers 8 Solving Linear Equations Learning Labs and Math Focus Fall 2016 Number lines Hundreds Chart Tape Diagram Equal Groups Place Value Chart Base Ten Blocks Place Value Disks Area Model Array Multiplication Chart Commutative Property Associative Property Distributive Property Regrouping Partial Products Decomposing Multiples Skip Counting Repeated Addition Estimating ___x___=___ (written either horizontally or vertically) Fraction Strips Decimal Strips Bar Model Area Model Hundredths Grid Base 10 Blocks Number Line Money Number lines Thermometer Chips Money Algebra Tiles =/- Chart Algebra Tiles Balance – hands on equations Graphing Calculator Tables Graphs Area Model Find Same Size Pieces (+,-,compare) Break into Equal Size Pieces Brownie Pan Shaded Decimal Parts Counting Squares in grid Counting on +,-,x,÷ fractions and decimals Moving along the number line Zero pairs Making or losing money Grouping like chips Distance from zero “opposite of” Guess and Check Fact Families Combine Like Terms Intersecting Lines Graphing to find same point on table and graph Distributive property Reverse order of operations/ inverse operations Property of Equality Pos. + Pos. Neg. + Neg. Pos. + Neg. Isolate the variable Building Procedural Fluency from Conceptual Understanding Algebra Finding a Solution Set Learning Labs and Math Focus Fall 2016 Algeblocks Algebra Tiles Calculator Real World Examples Money Hands on Equations Graphs Tables Factoring Decomposing Comparing Models – graph, table, equation Graphing to find intersecting point Substitution Equation Algebra 2 Add, Subtract, Multiply and Divide Polynomials Algebra Tiles Candy Money Food Area Model Combine like terms Zero Pairs Distributive Property Decomposing/ Composing Commutative Property Associative Property Apply Laws of Exponents Equations involving =,-,x, or ÷ of polynomials Geometry Justification of Congruence Patty paper GSP – Geometry Software Transparencies Straight Edge Compass Break apart and match Constructions via technology Transformations Manually construct Using postulates and definitions Equations of equivalency Proofs with congruence postulate
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