How to use this book - s3.amazonaws.com · Web view30 Algebra Words That Every Student Must Know9....

Inside Cover

ISBN

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Cover artist-

Imaging-

Published by – Gold Medal Staff Development, LLC

www.brettbernard.com

Made in U.S.A.

Show the cover of the book

http://www.brettbernard.com/

Table of Contents

How to use this book……………….page 3

WBJ ……………………………………….page 4

WBJ……………………………………….page 5

WBJ………………………………………..page 6

WBJ………………………………………..page 7

WBJ……………………………………….page 8

WBJ……………………………………….page 9

WBJ………………………………………page 10

WBJ……………………………………..page 11

WBJ……………………………………page 12

WBJ…………………………………..page 13

WBJ…………………………………page 14

WBJ…….…………………………..page 15

Create a bumper sticker………page 16

Write an Acrostic Poem………page 16

Write Super Sentences………page 17

Create a word search………..page 18

Algebra Review……………….page 19

Fact Fluency………………page 20

Glossary…………..page 21

Glossary…………page 22

Glossary………..page 23

Glossary………...page 24

30 Algebra Words That Every Student Must Know 3

How to use this bookThis book is set up as a Whole Brain Journal with a glossary. Your job is to write the definition for each word and draw a picture to show what the word means. There will be times when it is challenging to think of something to draw and that would be a perfect time to show an example.

Let’s take a look at the two ways you can do this.

1. Definition and Draw

2. Definition and Example

You will see that there are examples and drawings in the glossary. This is to help you understand what the words mean. These drawings and examples are meant to give you a start. For example, if the glossary shows an example of a cylinder, you could create a drawing of a soda can, a garbage can, or any other container.

Be sure to do detailed work and to use color.

4 How to Speak Math

Create a Bumper Sticker

Choose one of the math words from your Whole Brain Journal and create a bumper sticker that shows the meaning of that word. Include a drawing or design that shows the meaning of the word. Please use your creativity and color!


Design a Cartoon Strip

Choose one (or as many as you would like) of the math words in this book and create a cartoon strip that shows the meaning of the word or words. You can use your own characters or your favorite characters that you know from books and television. Have fun and don’t forget to be creative and use color.

6 How to Speak Math

Write an Acrostic Poem

You can write an acrostic poem using the directions below.

1. Choose one of the math vocabulary words.

2. Write the word vertically on your paper. Be sure to capitalize each letter.

3. Start each line of the poem with the capital letters you wrote.

4. Each line of the acrostic poem should include a word or phrase related to that word. Please see the example for reference.

5. For an added bonus, you may choose to make this colorful.

Example: MultiplicationAdditionTriangleHorizontal

Try your own acrostic poem below.


Super Sentences

Choose fifteen of your vocabulary words and write each one in a complete sentence following the directions below.

1. Use capital letters and punctuation.

2. Do your best to spell correctly.

3. Underline the vocabulary word.

4. Be sure that the sentence helps people understand what the word means.

Example: The building in Washington, D.C., is called the Pentagon, because it has five sides.

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8 How to Speak Math

Create a Word Search … become more familiar with your new math vocabulary

1. Choose sixteen of your new math words and write them in the word bank at the bottom of this page.

2. Write the words in the grid. You may do this across (horizontally), up and down (vertically), and diagonally.

3. Fill in the open spaces with random letters that will hide your words and make it challenging for your friends to find them.

4. Double check your work to make sure it is neat and accurate.

5. Trade with a partner and start searching for those new math words!

Math Word Search

Word Bank

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5. 6.

7. 8.

9. 10.

11. 12.

13. 14.


15. 16.

10 How to Speak Math

Glossary – Algebra

Algebra: the part of math in which letters and other symbols are used to represent numbers and quantities.

Variable: a letter or symbol that represents a number.

Distributive property: a property of real numbers stating that - a *(b+c)=(a*b) + (a*c). For example, 3*(40+5)=(3*40)+(3*5).

Evaluate: to find a numerical expression or equivalence for an equation, formula, or function.

Equal: = this symbol goes in between two numbers and symbolizes that the numbers are the same in value, or equal. For example, 4=4, ½=0.50.

Algebraic expression: an expression that contains a variable. For example, if Brody is 2 inches taller than Nora and if the variable B represents Brody’s height, then the algebraic expression B-2 represents Nora’s height.


Associative property of addition: grouping the addends in different ways does not change the sum (answer). For example, 3+(7+5)=(3+7)+5.

Associative property of multiplication: grouping the factors in different ways does not change the product (answer). For example, 2x(5x6)=(2x5)x6

Commutative property of addition: it does not make a difference in which order the numbers are added. For example, 2+3=5 and 3+2=5.


Commutative property of multiplication: It does not make a difference in which order the numbers are multiplied. For example, 2x3=6 and 3x2=6.

Expression: A group of mathematical symbols that represents a number – or can represent a number if values are assigned to any variables in the expression. An expression could include numbers, variables, and operation symbols such as +, -, x.

Inequality: a number sentence with >, <, ≠. For example, the sentence 8<15 is an inequality.


Greater than >: this symbol goes between two numbers and symbolizes that the first number is greater than the second number. For example, 4>2.

Less than <: this symbol goes between two numbers and symbolizes that the first number is less than the second number. For example, 2<4.

Not equal ≠: This symbol goes in between two numbers and symbolizes that they are not the same value, or not equal. For example, 4≠9.

Less than or equal to ≤: This symbol in between a≤ b means that a is less than or equal to b. This is known as an inequality.

Greater than or equal to ≥: The symbol in between a≥b means that a is greater than or equal to b. This is known as an inequality.


Glossary – Number Sense

Number sentence: similar to an English sentence, except that it uses math symbols instead of words. A number sentence must contain at least two numbers (or variables that stand for missing numbers) and one relation symbol (=, <,>).

Order of operations: rules that tell in what order to perform operations in arithmetic and algebra. The order of operations is as follows:

1. Do everything in parentheses first.

2. Calculate all the expressions with exponents.

3. Multiply and divide in order from left to right.

4. Add and subtract in order from left to right.

Parentheses ( ): symbols used to group things and tell us which parts of an expression should be calculated first.


Prime number: a number greater than 1 that has exactly 2 factors (1 and itself). 1 has only one factor so it is not a prime number.

Composite number: numbers that have 3 or more factors. For example, 6 is a composite number because it has 4 factors (1, 2, 3, 6).

Proportion: a number model that states that two fractions are equal. The fractions in a proportion represent rates or ratios. For example, the problem Ruby’s speed is 12 miles per hour. At the same speed, how far can she travel in 3 hours? can be modeled by the proportion.

1 2 m il e s = n m i l es

1 hour 3 hours

Open sentence: a number sentence that has variables in place of one or more missing numbers. An open sentence is usually neither true nor false. For example, 6+x=13 is open. The sentence would be true if we put a 7 in the place of x. The sentence would be false if a 3 was put in place of the x.


Exponent: a number written above and to the right of another numeral to indicate how many times the original number is used as a factor. For example in 23 the number 2 is multiplied 3 times: 2x2x2.

Identity property of addition: adding zero to a number gives a sum identical to the given number. For example, 3+0=3.

Identity property of multiplication: multiplying a number by 1 gives a product identical to the given number. For example, 3x1=3.

Irrational number: a number that can’t be written as a fraction, where both the numerator and the denominator are integers and the denominator is not zero. (pi) is an example of an irrational number.


Glossary – Data & Measurement

Bar graph: a graph that uses horizontal or vertical bars to represent data.

Broken line graph data: information that is gathered by counting, measuring, questioning, or observing.

Landmark: a notable feature of a data set. Landmarks can include minimum, maximum, median, mode, mean, and range.

Maximum: the largest amount. The largest, or greatest, number in a set of data.

Minimum: the smallest amount. The smallest number in a set of data.

Mean: the average number in a set of data. The mean is found by adding all of the data values and dividing by the number of numerals in the set of data.


Median: the middle number in a set of data when the numbers are put in order from least to greatest.

Range: the difference between the largest (maximum) and the smallest (minimum) numbers in a set of data.

Circle graph: a graph in which a circle is divided into sectors, or parts, to show the parts of a set of data. The whole circle represents the whole set of data. It is also known as a pie graph.

Average: a typical value for a set of numbers. The word average is the same as the mean of a set of numbers.


Line graph: a line graph uses line segments to connect data points. Line graphs show how something has changed over time.

Line plot: a sketch of data in which check marks, x’s, or other marks above a labeled line show the frequency of each value.

Length: the measurement of something from end to end.


Volume: the measurement of how much space a solid object takes up. Volume is measured in cubic units, such as cubic centimeters or cubic inches.

Width: the measurement of something from side to side.

Mass: a measure of how much space a solid figure takes up. Volume is measured in cubic units such as cubic centimeters or cubic inches. The volume or capacity will tell how much the container will hold. Capacity is measured in units like gallon or liters.

Area: the amount of surface inside a shape. Ares is measured in square units such as square inches, square feet, or square yards. Area can also be found by multiplying the base by the height.


Metric: a system of measurement based on the base-ten numeration system. It is used in most countries around the world. Examples of metric measurement include decimeter (dm), centimeter (cm), millimeter (mm), and kilometer (km).

Milli – 0.001 1 millimeter = 0.001m

Centi – 0.01 1 centimeter = 0.01m

Deci – 0.1 1 decimeter = 0.1m

1 1 meter = 1m

Deka – 10 1 dekameter = 10m

Hecto – 100 1 hectometer = 100m

Kilo – 1,000 1 kilometer = 1,000m

Capacity: the amount a container can hold. Capacity can be measured in gallons, pints, and cups. Capacity also refers to the heaviest weight a scale can measure.

Circumference: the distance around a circle; often referred to as the perimeter of a circle.


Diameter: a line segment that goes through the center of a circle and has endpoints on the circle. The diameter of a circle or sphere is twice the length of the radius.

Venn diagram: A picture that uses a circle to show relationships between sets.

Tally chart: a table that uses marks, called tallies, to show how many times each value appears in a set of data.

Perimeter: the distance around a polygon or other shape.


Radius: a line segment from the center of a circle to any point on the circle. The radius of a circle is one-half of the diameter.

U.S. customary system: the measuring system most frequently used in the United States. Some examples of units of measurement include inches, feet, yards, and miles.

Square unit: a unit used in measuring an area such as a square centimeter or a square foot.


Glossary – Geometry

Angle: a figure that is formed by two rays or two line segments with a common endpoint.

Apex: in a cone or pyramid, the vertex is opposite to the base. In a pyramid, all the faces except the base meet at the apex.

Base: a name used for a side of a polygon or a face of a three-dimensional figure.

Area: the amount of surface inside a shape. Area is measured in square units such as square inches, square feet, or square yards.

Concave polygon: a polygon in which at least one vertex goes in. At least one inside angle of a concave polygon is a reflex angle, with a measure of more than 180 degrees.


Concentric circles: circles that have the same center but radii of different lengths.

Cone: a three-dimensional shape that has a circular base and a curved surface that ends in a point called an apex or vertex.


Congruent: figures that have the same shape and the same size. Two figures are congruent if they match exactly when placed on top of each other.

Convex polygon: a polygon in which all vertices are pushed outward. Each inside angle of a convex polygon has a measure less than 180 degrees.

Cube: a three-dimensional shape that has six square faces. A cube has 12 edges and 8 vertices.


Cylinder: a three-dimensional shape with two circular bases that are parallel and congruent and are connected by a curved surface. A soda can is shaped like a cylinder.

Edge: the line segment where two faces of a solid figure meet.

Equilateral triangle: a triangle with all three sides equal in length and all angles have the same measure.


Face: A flat surface or side of a solid figure.

Vertex: a point where the sides of the angle, the sides of a polygon, or the edges of a solid meet; any corner of a solid.

Intersect: to meet or to cross.

Line segment: a part of a line. A line segment has two endpoints.

Parallel: always the same distance apart, and never meeting or crossing each other. Railroad tracks are parallel.


Parallel Lines

Parallelogram: A quadrilateral (four-sided figure) that has both pairs of opposite sides equal and parallel.

Perpendicular: two segments, rays, or lines that form a 90 degree angle.

Point: an exact location in space, often represented by a dot.


Polygon: a closed figure with sides made of straight-line segments. Some examples include rectangles, triangles, and squares.

Prism: a solid that has two parallel bases that are formed by polygons with the same size and shape. The other faces connect the bases and are all shaped like parallelograms. Prisms take their names from the shapes of their bases. Triangular prisms and rectangular prisms are two examples.

Pyramid: a solid in which one face, the base, may have any polygon shape. All of the other faces have triangular shapes and come together at a vertex called the apex. A pyramid takes its name from the shape of the base. If the base is rectangular, it is a rectangular pyramid.


Ray: a part of a line that has an endpoint and goes forever in the other direction.

Reflection: the “flipping” of a figure over a line so that its image reflects and is the mirror image of the original figure.

Rotation: a movement of a figure around a fixed point, or axis. A rotation is like a turn.

Similar: figures that have the same shape but not the same size.


Translation: a movement of a figure along a straight line. Each point of the figure slides the same distance in the same direction.

Vertex: a point where the sides of the angle, the sides of a polygon, or the edges of a solid meet; any corner of a solid.

How to use this book - s3.amazonaws.com · Web view30 Algebra Words That Every Student Must Know9....

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