Geometry Figures Protractors Geometry Nets Rulers Customary Units Metric Units
Math Formulas Math Symbols Math Practices Multiplication Table Time
Geometry Vocab Cards Pages 12 Geometry Vocab Cards Page 3
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1st nine weeks
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1 Analyze data to create and interpret tables and graphs to solve problems. (5.1a)
2 Explain selection of the type of graph. (e.g. line graph/shows data that changes over time) (5.1b)
3 Determine range and mean of a set of data. (5.1e)
4 Organize, translate and interpret data using Venn diagrams, line plots, tables, and graphs. (5.1c)
5 Compile information (e.g., create questions, design investigations) using observation, measurement, surveys, or experiments. (5.1d)
6 Define, identify and apply characteristics to factors, multiples, prime and composite numbers (e.g., build rectangular arrays for numbers 1100 and classify as prime or composite) (2.2b)
7 Apply the basic properties of arithmetic: commutative,associative, distributive and identity to solve problems. (2.2a)
2nd nine weeks
8 Multiply and divide whole numbers and decimal numbers with 12 digit multipliers or divisors to solve problems. (3.2b)
9 Apply estimation skills to determine solutions to real world situationsinvolving decimals. (+  x ÷ ) (3.1a)
10 Compare, convert, and order common fractions and decimals to the 100ths place to solve problems. (2.1b)
11 Solve problems using decimal numbers to the thousandths place. (2.1a)
12 Add and subtract decimal numbers with the same and different placevalues (e.g., 3.72 + 1.4) to solve problems. (3.2a)
13 Represent with models the connection between fractions, decimals, and percents. Using a model, identify connections and be able to convert fractions, and decimals, and percents (2.1c)
14 Identify equivalent fractions, decimals, and percents in problem solving situations. Demonstrate the use of common percents and fractions (e.g., 25% off of a sale). (2.1d)
15 Apply estimation skills to determine solutions to real world situations involving common percents and equivalent fractions. (3.1b)
16 Add and subtract fractions and mixed numbers to solve problems using a variety of methods (e.g., use fraction strips, find the least common denominator (LCD)). (3.2c)
3rd nine weeks
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17 Identify and describe basic properties of figures (23 dimensionality, symmetry, number of faces, types of angles including parts of circles, similar and congruent) (4.1)
18 Use a protractor to draw, measure, and classify angles (acute, obtuse, right and straight.) (4.4)
19 Apply the correct formula to calculate the perimeter of simple polygons and/or area of rectangles in problem solving situations. (4.2)
20 Know and apply the formula for finding the volume of rectangularsolids. Be able to estimate the volume of solids (e.g., rectangular solids, triangular solids) (4.3)
21 Convert basic measurements of volume, weight and distance within the same system for metric and customary units (e.g., inches to feet, hours to minutes, centimeters to meters). (4.5)
22 Use appropriate units and tools to estimate and measure temperature, distance, length and weight in problem solving situations. (4.4)
4th nine weeks
23 Determine the probability of events occurring in familiar contexts or experiments and express probabilities as fractions (e.g., find the fractional probability of an event given a biased spinner). (5.2a)
24 Show all arrangements (permutations) and combinations of a given situation up to 5. (5.2b)
25 Describe rules that produce patterns found in tables, graphs, and models and use variables (e.g., boxes, letters, pawns, number cubes, or other symbols) to solve problems or to describe general rules in algebraic expression or equation form. (1.1)
26 Use symbols to represent quantities in simple expressions, compute an “output” for a given “input” in a function and write an algebraic equation to solve a given problem. (1.2)
27 Understands the basic concept of an equality relationship,(balance, adding & subtracting from each side) (1.2)
addend  in the addition problem 3 + 2 + 6 = 11, the addends are 3, 2, and 6.
algorithm  stepbystep procedure for solving a problem.
analog time  time displayed on a timepiece having hour and minute hands.
array  (rectangular) an orderly arrangement of objects into a rectangular configuration (e.g., take six tiles and arrange two long and three wide to form a rectangle).
attribute  characteristics (e.g., size, shape, color, weight).
combinations  a selection of objects without regard to order.
complementary angles  two angles whose measure have a sum of 90 degrees.
complex numbers  numbers of the form a + bi, where a and b are real numbers and i equals the square root of 1.
composite numbers  any positive integer exactly divisible by one or more positive integers other than itself and 1.
congruent  geometric figures having exactly the same size and shape.
conic sections  circles, parabolas, ellipses, and hyperbolas which can all be represented by passing a plane through a hollow double cone.
conjecture  a statement believed to be true but not proved.
cosine  in a right triangle, the cosine of an acute angle is the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse.
dependent events  events that influence each other. If one of the events occurs, it changes the probability of the other event.
domain of a relation  the set of all the first elements or xcoordinates of a relation.
exponential function  an exponential function with base b is defined by y = b^{x, where b > 0 and b is not equal to 1. }
expression  a mathematical phrase that can include operations, numerals and variables. In algebraic terms: 2m + 3x; in numeric terms: 2.4  1.37.
Fibonacci sequence  the sequence of numbers, 1, 1, 2, 3, 5, 8, 13, 21, . . . where each number, except the first two, is the sum of the two preceding numbers.
function  a relation in which each element of the domain is paired with exactly one element of the range.
function machine  an input/output box (often made with milk cartons, boxes, or drawn on the board) to show one number entering and a different number exiting. Students guess the rule that produced the second number (e.g., enter 3, exit 5, rule: add 2).
Priority Academic Student Skills Oklahoma State Department of Education 31 Grade 5
histogram  a bar graph of a frequency distribution.
imaginary number  any complex number, a + bi, for which a = 0 and b does not = 0.
independent events  events that do not influence one another. Each event occurs without changing the probability of the other event.
integers  . . . 2, 1, 0, 1, 2, . . .
intercepts (x & y)  the x (y)coordinate of the point where a graph intercepts the x (y) axis.
inverse operations  operations that undo each other (e.g., addition and subtraction are inverse operations; multiplication and division are inverse operations).
irrational numbers  nonterminating, nonrepeating decimals (e.g., square root of 2, pi).
logarithmic functions  logarithmic function with base b is the inverse of the exponential function, and is defined by x = log_{b y (y > 0, b > 0, b not equal to 1). }
manipulatives  concrete materials (e.g., buttons, beans, egg and milk cartons, counters, attribute and pattern blocks, interlocking cubes, base10 blocks, geometric models, geoboards, fractions pieces, rulers, balances, spinners, dot paper) to use in mathematical calculations.
mean  in a set of n numbers, the sum of the numbers divided by n.
median  the middle number in the set, or the mean of the two middle numbers, when the numbers are arranged in order from least to greatest.
mode  a number in a set of data that occurs most often.
multiple  a number that is the product of a given integer and another integer (e.g., 6 and 9 are multiples of 3).
natural numbers  (counting numbers) 1, 2, 3, 4, . . .
nonstandard measurement  a measurement determined by the use of nonstandard units like hands, paper clips, beans, cotton balls, etc.
number sense  involves the understanding of number size (relative magnitude), number representations, number operations, referents for quantities and measurements used in everyday situations, etc.
operation  addition, subtraction, multiplication, division, etc.
order of operations  rules for evaluating an expression: work first within parentheses; then calculate all powers, from left to right; then do multiplications or divisions, from left to right; then do additions and subtractions, from left to right.
ordinal  a number that is used to tell order (e.g., first, fifth).
permutation  an arrangement of a set of objects in a particular order (the letters a, b, c have the following permutations: abc, acb, bac, bca, cab, cba).
prime number  an integer greater than one whose only positive factors are 1 and itself (e.g., 2, 3, 5, 7, 11, 13 . . .).
probability  the study and measure of the likelihood of an event happening.
properties of arithmetic  for all real numbers a, b and c:
commutative property: a + b = b + a and a • b = b • a
associative property: (a+ b) + c = a + (b + c) and (a • b) • c = a • (b • c)
distributive property: a (b + c) = (a • b) + (a • c)
identity property: a + 0 = a and a • 1 = a
inverse property: a + (a) = 0 and a • 1a = 1
proportion  a statement that ratios are equal.
quadrants  the four regions formed by the axes in a coordinate plane.
quadratic equation  an equation of the form ax2 + bx + c = 0, where a, b and c are real numbers and a is not equal to 0.
quadratic formula  if ax2 + bx + c = 0, where a, b and c are real numbers and a is not equal to
0, then x = . −b−4
range of a relation  the set of all the second elements or ycoordinates of a relation is called the range.
ratio  the comparison of two quantities by division.
rational numbers  quotients of integers (commonly called fractions  includes both positive and negative).
real numbers  the set of all rational and irrational numbers.
recursive patterns  patterns in which each number is found from the previous number by repeating a process (e.g., Fibonacci numbers).
relation  a set of one or more pairs of numbers.
relative magnitude  the size of an object or number compared to other objects and numbers.
scatter plot  a dot or point graph of data.
sequence  a set of numbers arranged in a pattern.
sine  in a right triangle, the sine of an acute angle is the ratio of the length of the leg opposite the angle to the length of the hypotenuse.
slope of a line  the ratio of the change in y to the corresponding change in x. For any
two points (x1, y1) and (x2, y2), m = . 21 (x2  x1)
b± 2 ac 2a
(y  y)
spatial sense  involves building and manipulating mental representations of 2 and 3dimensional objects and ideas.
standard deviation  measures how much each value in the data differs from the mean of the data.
statistics  the study of data.
stemandleaf plot  a frequency distribution made by arranging data in the following way (e.g., student scores on a test were 96, 87, 77, 93, 85, 85, and 75 would be displayed as 9  6, 3
8  7, 5, 5
7  7, 5
supplementary angles  two angles whose measures have a sum of 180 degrees.
supposition  (act of supposing) making a statement or assumption without proof.
tangent  in a right triangle, the tangent is the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the angle.
transformation  motion of a geometric figure (rotation [turn], translation [slide], and reflection [flip]).
whole numbers  0, 1, 2, 3, 4, . . .
The property which states that when multiplying three or more factors , any two of the factors can be multiplied, and the remaining factors may then be multiplied without changing the total product
Example:
(3 X 4) X 5 = 3 X (4 X 5)
12 X 5 = 3 X 20
60 = 60
The property which states that addends can be added in any order. The sum is always the same
Example:
2.67 + 1.32 = 1.32 + 2.67
3.99 = 3.99
The property which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products
Example:
3 X (4 + 2) 
= (3 X 4) + (3 X 2) 
3 X 6 
= 12 + 6 
18 
= 18 
The property which states that the product of zero and any number is zero
Examples:
13 X 0 = 0
0 X 7 = 0
The property which states that the product of 1 and any factor is the factor
Examples:
15 X 1 = 15
1 X a = a
The Rules of Divisibility
A number is divisible by 
If 
2 
the number is even. 
3 
the sum of the digits of the number is divisible by 3 
4 
the last two digits are divisible by 4. 
5 
the last digit is a 0 or 5. 
6 
the number is divisible by both 2 and 3. 
9 
the sum of the digits are divisible by 9. 
10 
the last digit is 0. 