# Math (TAG): Patterns and Expressions

### Suggested Time Frame: 13 Instructional Days

##### Focus TEKS

Coordinate Plane

• 5.8C graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table. – R RC3
• 5.8A describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin; – S RC3
• 5.8B describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; – S RC3

Additive and Multiplicative Patterns (Words, Tables, Graphs, and Equations)

• 5.4B represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity R
• 5.4C generate a numerical pattern when given a rule in the form y = ax or x + a and graph R
• 5.4D recognize the difference between additive and multiplicative numerical patterns given in a table or graph S

Algebraic Thinking – Expressions

• 5.4F simplify numerical expressions that do not involve exponents, including up to two levels of grouping R
• 5.4E describe the meaning of parentheses and brackets in a numeric expression S
• 5.4A Identify prime and composite numbers- S
##### Computational Fluency TEKS

Divide Whole Numbers: Computation

• 4.4F use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor; – S RC2 [include divisibility rules]

Multiply Whole Numbers – Computation

• 4.4D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties; – S RC2
##### Spiral Review TEKS

Addition, Subtraction, Multiplication, and Division – Problem Solving, Estimating, and Representing

• 5.4B  Represent and solve multistep problems involving the four operations with the whole numbers using equations with a letter standing for the unknown quantity- R
• 5.3A  Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division – S
• 5.3B  Multiply with fluency a three-digit number by a two-digit number using the standard algorithm- S
• 5.3C  Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm- S