GCPS TV Mathematics AKS



GCPS TV Mathematics AKS

(Reference Code: KMA)

A - Process Skills

• solve problems that arise in mathematics and other related contexts (GPS) (KMA_A2006-1)

• solve non-routine word problems using strategies to include “act out the problem” or “use objects” (GPS) (KMA_A2006-2)

• investigate, develop and evaluate mathematical arguments (GPS) (KMA_A2006-4)

B - Numbers and Operations

• use counting strategies to find out how many items are in two sets when they are combined (GPS) (KMA_B2006-19)

• build number combinations up to 10 (GPS) (KMA_B2006-20)

• use objects, pictures, numbers, or words to create, solve and explain story problems for two numbers that are each less than 10 (including the concepts of joining, separating or comparing objects) (GPS) (KMA_B2006-21)

E - Algebra

• explore the concept of equivalence relating to addition and subtraction, such as a set represented by 4+1 is equivalent to a set represented by 3+2 (GPS) (KMA_E2006-38)

Mathematics

(Reference Code: 1MA)

A - Process Skills

• apply mathematical concepts and skills in the context of authentic problems and demonstrate conceptual understanding rather than merely follow a sequence of procedures (GPS, ITBS) (1MA_A2006-1)

• solve problems that arise in mathematics and other related contexts (GPS) (1MA_A2006-2)

• solve single step routine word problems related to all appropriate first grade math standards (GPS, ITBS) (1MA_A2006-4)

• determine and apply the operation(s) needed to solve a problem (GPS, ITBS) (1MA_A2006-5)

• determine and apply the most efficient way to solve a problem (mentally, paper/pencil or calculator) (GPS, ITBS) (1MA_A2006-6)

B - Numbers and Operations

• add and subtract small numbers and demonstrate how to represent them (GPS, ITBS) (1MA_B2006-11)

• compose and decompose numbers up to 10 (e.g., 8 is represented as 4 + 4, 3 + 5, 5 + 2 + 1 and 10-2) (GPS) (1MA_B2006-27)

• use single-digit addition facts to 18 and corresponding subtraction facts with understanding and fluency (GPS) (1MA_B2006-31)

• use strategies such as relating to facts already known, applying the commutative property and grouping facts into families (GPS, ITBS) (1MA_B2006-32)

• solve and create word problems involving addition and subtraction to 100 without regrouping (GPS, ITBS) (1MA_B2006-33)

• use words, pictures and concrete models to interpret story problems and reflect the combining of sets as addition and taking away or comparing elements of sets as subtraction (GPS) (1MA_B2006-34)

E - Algebra

• explore the property of zero in addition and subtraction (GPS, ITBS) (1MA_E2006-56)

Mathematics

(Reference Code: 2MA)

A - Process Skills

• apply mathematical concepts and skills in the context of authentic problems and demonstrate conceptual understanding rather than merely following a sequence of procedures (GPS, ITBS) (2MA_A2006-1)

• solve problems that arise in mathematics and other related contexts (GPS, ITBS) (2MA_A2006-2)

• determine and apply the operation(s) needed to solve a problem (GPS, ITBS) (2MA_A2006-5)

• determine and apply the most efficient way to solve a problem (mentally, paper/pencil or calculator) (GPS, ITBS) (2MA_A2006-6)

B - Numbers and Operations

• use the inverse relation between addition and subtraction to solve problems and check solutions (GPS, ITBS) (2MA_B2006-19)

• use mental math strategies such as benchmark numbers to solve problems (GPS, ITBS) (2MA_B2006-20)

• estimate to determine if solutions are reasonable for addition and subtraction (GPS) (2MA_B2006-21)

E - Algebra

• use basic properties of addition (commutative, associative and identity) to simplify problems (GPS, ITBS) (2MA_E2006-43)

Mathematics

(Reference Code: 3MA)

Curricular goals interwoven throughout the mathematics program are that all students will:

• learn to reason mathematically

• become mathematical problem solvers

C - Whole Number Concepts and Computation

• develop and use language and symbols for the operations of addition, subtraction, multiplication and division (QCC, ITBS) (3MA_C2001-13)

• model, explain and develop proficiency with basic facts (add, subtract, multiply, divide) (QCC, ITBS) (3MA_C2001-14)

• use the relationship between addition and subtraction and between multiplication and division to write fact families (QCC, ITBS) (3MA_C2001-15)

• use a variety of mental math strategies for computation of whole numbers (QCC, ITBS) (3MA_C2001-18)

H - Algebra

• identify commutative and associative properties and use them to compute with whole numbers (QCC) (3MA_H2003-3)

Mathematics

(Reference Code: 4MA)

Curricular goals interwoven throughout the mathematics program are that all students will:

• become mathematical problem solvers

• learn to reason mathematically

B - Number Sense and Numeration

• identify factors and multiples of a given number (QCC) (4MA_B2001-9)

• identify prime and composite numbers less than 100 (QCC) (4MA_B2001-10)

C - Whole Number Concepts and Computation

• use language and symbols for the operations of addition, subtraction, multiplication and division (QCC, ITBS) (4MA_C2001-13)

• recall basic addition, subtraction, multiplication and division facts (QCC, ITBS) (4MA_C2001-14)

• apply mental computation strategies (such as count up and back; compatible numbers; compensation and multiples of ten, hundred, or thousand) to add, subtract, multiply and divide (QCC) (4MA_C2001-24)

• develop fluency in adding, subtracting, multiplying and dividing whole numbers (QCC) (4MA_C2003-1)

H - Algebra

• identify commutative, associative and distributive properties and use them to compute with whole numbers (QCC, ITBS) (4MA_H2003-2)

Mathematics

(Reference Code: 5MA)

Curricular goals interwoven throughout the mathematics program are that all students will:

• learn to reason mathematically

• become mathematical problem solvers

A - Computation and Estimation

• use language and symbols relating to addition, subtraction, multiplication and division (QCC, ITBS) (5MA_A2001-1)

• solve real life mathematical problems using cumulative computational skills (QCC, ITBS) (5MA_A2001-6)

• apply mental computation and a variety of estimation strategies including rounding and compatible numbers (QCC, ITBS) (5MA_A2001-17)

B - Number Systems and Number Theory

• identify prime and composite numbers (QCC) (5MA_B2001-27)

G - Algebra

• apply commutative, associative and identity properties of addition and multiplication, and the distributive property of multiplication (QCC, ITBS) (5MA_G2003-3)

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