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Section 1

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Formula

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Math

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Date created

Mar 14, 2020

Cards (42)

Section 1

(42 cards)

Formula

Front

A formula is a rule or fact written with mathematical symbols.

Back

Perimeter Formulas

Front

Perimeter is the distance around a shape. Square: 4a Rectangle: 2a + 2b Triangle: a + b + c Circle: 2pie(r)

Back

One, Two, and Three Dimensional Figures

Front

A one dimensional figure has one dimension and that dimension is length. A two dimensional figure has two dimensions and those dimensions are length and width. A three dimensional figure is the figure around you that you can pick up and ouch. It has three dimensions and those dimensions are length, width, and depth.

Back

Ordinal Numbers

Front

An ordinal number is a number that tells the position of something. For example, first, second, and third are ordinal numbers.

Back

Concrete-Representational-Abstract Sequence

Front

This is a method for sequencing that starts with concrete, moves to representational, and then ends with abstract. First, the mathematical skill is modeled with concrete materials and the students have opportunities to practice and demonstrate mastery with these concrete materials. Next, the mathematical skill is modeled at the representational level using pictures such as tally marks. Again, the students have opportunities to practice and demonstrate mastery with the representational level. Finally, the mathematical skill is modeled at the abstract level using only numbers and symbols. Again, the students have opportunities to practice and demonstrate mastery with the abstract level.

Back

Cardinal Numbers

Front

A cardinal number is a number that tells how much of something there is. For example, one, two, and three are cardinal numbers.

Back

Ratio

Front

A ratio compares two numbers with division. For example, 1 : 2

Back

Strategies for Rounding

Front

1. Number Line The students draw a number line with the first rounding choice and the second rounding choice. For example, when rounding 84 to the tens, the number line would consist of 80 and 90. After drawing a dot on the line for 84, the students determine which rounding choice it is closest to. 2. Rounding Rule The students memorize the rule that if the number is 4 or below, the number stays the same. However, if the number is 5 or higher, the number adds one. 3. Paying Attention The students underline the specific place value they are rounding in a number. For example, if they are round 806 to the hundreds, they would underline the 8. Then, the students draw an arrow to the place value to the right and apply the rounding rule. If the number is 4 or below, it stays the same. However, if the number is 5 or higher, it adds one.

Back

Rates

Front

A rate is a ratio of different units or a ratio of two quantity with different units. For example, 60 miles per 3 hours

Back

Rational Numbers

Front

Rational numbers are those that can be expressed as a fraction of two integers. In the fraction, the top number is known as the numerator and the bottom number is known as the denominator.

Back

Rectangular Arrays

Front

A rectangular array is an arrangement of objects into rows and columns to form a rectangle. They can be used in the classroom to teach multiplication, square numbers, prime numbers, factors, and composite numbers.

Back

Surface Area Formulas

Front

Surface area is the total area of the surface of a three-dimensional area.

Back

Linear Equation

Front

A linear equation is an equation between two variables that results in a straight line when plotted on a graph.

Back

Rotation

Front

A rotation occurs when a shape turns. The turn must occur around a single point.

Back

Order of Operations

Front

PEMDAS The order of operations is a technique for solving a problem. It follows the shorthand PEMDAS. P = parenthesis E = exponents M = multiplication D = division A = addition S = subtraction

Back

Least Common Multiples

Front

The least common multiple of two numbers is the smallest number that's a multiple of both.

Back

Reflection

Front

A reflection occurs when a shape is simply flipped over a line. That line becomes the line of reflection.

Back

Coordinates

Front

Coordinates are order pairs that are located on a coordinate plane. The first value in an ordered pair is plotted on the x-axis and the second value is plotted on the y-axis.

Back

Whole Numbers

Front

Whole numbers are integers or numbers that can be written without a fraction.

Back

Prime Numbers

Front

Prime numbers are whole numbers greater than one that only have factors of one and itself.

Back

Composite Numbers

Front

Composite numbers are positive numbers that can be formed by multiplying two smaller positive integers.

Back

Area Formulas

Front

Area is the size of surface. Square: s^2 Rectangle: lw Triangle: 1/2bh Circle: pie(r)^2

Back

Volume Formulas

Front

Volume is the amount of space an item takes up. Cube: s^3 Cylinder: pie(r)^2h

Back

Greatest Common Factors

Front

The greatest common factor is the greatest number that divides two numbers. In order to find the greatest common factor, one should list the prime factors of each number.

Back

Natural Numbers

Front

Natural numbers are positive integers (1, 2, 3, 4) that are used for counting and ordering.

Back

Fractions, Decimals, and Percents

Front

Fractions, decimals, and percents are all related and can be used to express the same number in different ways.

Back

Integers

Front

Integers are positive and negative numbers (1 and -1 or 2 and -2) that can be written without a fraction.

Back

Factors vs Multiples

Front

Factors and multiple both address multiplication, but they are two different concepts. Factors are what we can multiply to get a number. Multiples are what we get after multiplying a number by an integer.

Back

Coordinate Plane

Front

A coordinate plane is formed by a horizontal number line known as the x-axis and a vertical number line known as the y-axis. The x-axis and the y-axis intercept at a point known as the origin. A coordinate plane has 4 quadrants that are in the shape of a C. In other words, quadrant 1 is in the upper right corner, quadrant 2 is to the left, quadrant 3 is below, and quadrant 4 is to the right.

Back

Translation

Front

A translation occurs when a shape slides to a new location. For a true translation to occur, there can't be any reflection or rotation of the shape.

Back

Comparing Numbers

Front

When comparing numbers, the students will use terminology such as less than, greater than, and equal to. These terms can also be represented with the symbols <, >, and =. When comparing numbers, the sequence must be logical. For example, when comparing 5 and 8, the logical sequence would be 5 < 8 because 5 is smaller than 8.

Back

Commutative Property

Front

Used only for addition and multiplication, the commutative property means you can change the order of the numbers around and still get the correct answer. For example, 5 + 3 equals the same as 3 + 5

Back

Slope Intercept Form

Front

y = mx + b M: slope B: y-intercept

Back

Distributive Property

Front

The distributive property distributes the variable outside of the parenthesis to each variable inside the parenthesis using multiplication.

Back

Associative Property

Front

Used only for addition and multiplication, the associative property means you can add or multiply regardless of how the numbers are grouped with parenthesis.

Back

Mutually Exclusive Events

Front

In probability, two events are consider mutually exclusive if they cannot occur at the same time.

Back

Unit Rates

Front

A unit rate is a rate with a denominator of one. For example, 20 miles per 1 hour

Back

Transpose

Front

When you "transpose" in math, you do the opposite operation when carrying it across the equal sign.

Back

Conditional Probability

Front

Conditional probability measures the probability of an event given that another event has occurred.

Back

Inequalities

Front

Inequalities are statements that claim two values aren't equal. Instead, the two values are either greater than, less than, greater than or equal to, or less than or equal to. When solving inequalities, the aim is to have an X that's on its own to the left of the inequality sign. Addition, subtraction, and multiplying or dividing by a positive number don't change the direction of the inequality sign. However, multiplying or dividing by a negative number and swapping sides does change the direction of the inequality sign.

Back

Expression

Front

An expression is a combination of symbols that can designate numbers, variables, operations, and symbols of grouping. Expressions don't have an equal sign, so there's no sides within it. Expressions are single statements that stand for a numerical value.

Back

Equation

Front

An equation is a statement in which two mathematical expressions are set equal to each other. Equations do have an equal sign, so there's a left side and a right side. Equations are sentences that show equality between two expressions.

Back