Course: 5012030 Mathematics - Grade One

Course Number:

5012030

Course Title:

Mathematics - Grade One

Course Abbreviated Title:

Mathematics - Grade One

Course Path:

Section:Grades PreK to 12 Education Courses» Grade Group:Grades PreK to 5 Education Courses » Subject:Mathematics » SubSubject:General Mathematics »

Number of Credits:

NA

Course Length:

Year

Course Type:

Core

Course Level:

1

Status:

State Board Approved

MA.1.A.1.1:

Model addition and subtraction situations using the concepts of "part-whole," "adding to," "taking away from," "comparing," and missing addend."

MA.1.A.1.2:

Identify, describe, and apply addition and subtraction as inverse operations.

MA.1.A.1.3:

Create and use increasingly sophisticated strategies, and use properties such as Commutative, Associative and Additive Identity, to add whole numbers.

MA.1.A.1.4:

Use counting strategies, number patterns, and models as a means for solving basic addition and subtraction fact problems.

MA.1.A.2.1:

Compare and order whole numbers at least to 100.

MA.1.A.2.2:

Represent two digit numbers in terms of tens and ones.

MA.1.A.2.3:

Order counting numbers, compare their relative magnitudes, and represent numbers on a number line.

MA.1.A.4.1:

Extend repeating and growing patterns, fill in missing terms, and justify reasoning.

MA.1.A.6.1:

Use mathematical reasoning and beginning understanding of tens and ones, including the use of invented strategies, to solve two-digit addition and subtraction problems.

MA.1.A.6.2:

Solve routine and non-routine problems by acting them out, using manipulatives, and drawing diagrams.

MA.1.G.3.1:

Use appropriate vocabulary to compare shapes according to attributes and properties such as number and lengths of sides and number of vertices.

MA.1.G.3.2:

Compose and decompose plane and solid figures, including making predictions about them, to build an understanding of part-whole relationships and properties of shapes.

MA.1.G.5.1:

Measure by using iterations of a unit, and count the unit measures by grouping units.

MA.1.G.5.2:

Compare and order objects according to descriptors of length, weight, and capacity.

Option 1:

ELEMENTARY EDUCATION (GRADES 1 - 6)

Option 2:

PRIMARY EDUCATION (GRADES K - 3)

Option 3:

ELEMENTARY EDUCATION (GRADES K - 6)

Option 4:

PREKINDERGARTEN/PRIMARY EDUCATION (AGE 3 - GRADE 3)

Addend:

Any number being added.

Algorithm:

An algorithm is a specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at some point.

Associative property:

The way in which three or more numbers are grouped for addition or multiplication does not change their sum or product, respectively [e.g., (5 + 6) + 9 = 5 + (6 + 9) or (2 x 3) x 8 = 2 x (3 x 8)].

Attribute:

A quality or characteristic, such as color, thickness, size, and shape.

Capacity:

The amount of space that can be filled in a container. Both capacity and volume are used to measure three-dimensional spaces.

Compose:

To form by putting together (e.g., a geometric figure or a number).

Conceptual understanding:

Comprehension of mathematical concepts, operations, and relations. Students with conceptual understanding know why a mathematical idea is important, connect mathematical topics with each other and with other subject areas, and recognize the contexts in which a mathematical idea is useful.

Congruent:

Figures or objects that are the same shape and size.

Cube:

Solid figure with six congruent, square faces

Decompose:

To separate into parts or elements (e.g., geometric figures or numbers).

Digit:

A symbol used to name a number. There are ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. In the number 49, 4 and 9 are digits.

Focus:

A special point used to construct and define a conic section.

inverse operation:

An action that undoes a previously applied action. For example, subtraction is the inverse operation of addition.

Isosceles triangle:

A triangle with at least two congruent sides and two congruent angles. An equilateral triangle is a special case of an isosceles triangle having not just two, but all three sides and angles equal.

Length:

A one-dimensional measure that is the measurable property of line segments.

Magnitude:

The amount of a quantity. Magnitude is never negative.

Mean:

There are several statistical quantities called means, e.g., harmonic mean, arithmetic mean, and geometric mean. However, “mean” commonly refers to the arithmetic mean that is also called arithmetic average. Arithmetic mean is a mathematical representation of the typical value of a series of numbers, computed as the sum of all the numbers in the series divided by the count of all numbers in the series. Arithmetic mean is the balance point if the numbers are considered as weights on a beam.

Model:

To represent a mathematical situation with manipulatives (objects), pictures, numbers or symbols.

Multiples:

The numbers that result from multiplying a given whole number by the set of whole numbers.

Non-routine problem:

A problem that can be solved by more than one way, rather than a set procedure, having multiple decision points and multiple steps (grade level dependent).

Number line:

A line of infinite extent whose points correspond to the real numbers according to their distance in a positive or negative direction from a point arbitrarily taken as zero.

Pattern:

A predictable or prescribed sequence of numbers, objects, etc. Patterns and relationships may be described or presented using multiple representations such as manipulatives, tables, graphics (pictures or drawings), or algebraic rules (functions).

Plane:

An infinite two-dimensional geometric surface defined by three non-linear points or two distance parallel or intersecting lines.

Side:

The edge of a polygon (e.g., a triangle has three sides), the face of a polyhedron, or one of the rays that make up an angle.

Solid figures:

Three-dimensional figures that completely enclose a portion of space (e.g., a rectangular prism, cube, sphere, right circular cylinder, right circular cone, and square pyramid).

Standard algorithm (for division):

A procedure for finding a two- or more-place quotient of a division problem when a two or more-step procedure is used (steps include dividing, multiplying, comparing, subtracting, and regrouping).

Triangle:

A polygon with three sides.

Unit:

A determinate quantity (as of length, time, heat, or value) adopted as a standard of measurement.

Commutative property:

The order in which two numbers are added or multiplied does not change their sum or product, respectively (e.g., 2 + 3 = 3 + 2, or 4 × 7 = 7 × 4).

Vertex:

The point common to the two rays that form an angle; the point common to any two sides of a polygon; the point common to three or more edges of a polyhedron.

Weight:

The force with which a body is attracted to Earth or another celestial body, equal to the product of the mass of the object and the acceleration of gravity.

Whole Number:

The numbers in the set {0, 1, 2, 3, 4, ...}