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Graphic Organizers Used in Math Class

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**The Meaning of Place Value**

Vocabulary Word period place value Key Words decimal point power of ten Definition The value of a digit determined by its place in a number 7,205 in expanded form is (7 x 103) + (2 x 102) + (5 x 100) Grade 5 – Unit 1: Explain that vocabulary words such as power of ten, period, and decimal point are essential to understanding the concept of place value. The place value of 3 in 371,405,151 is 3 hundred million Example Related URLs: Base Blocks, Base Blocks Decimals, handout (PDF), Power of Ten Example

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**Properties of Multiplication**

Associative Property (a x b) x c = a x (b x c) Commutative Property a x b = b x a Multiplication Properties Distributive Property a x (b + c) = (a x b) + (a x c) Grade 5 – Unit 2: Invite students to share what they know about each of the multiplication properties, make sure they use matheematical vocabulary such as factors and product. Then, have students write examples of equations that show each of the properties. Use the Multiplication Properties URL to play “Properties Game.” Identity Property a x 1 = 1 x a = a Related URLs: Multiplication Properties Rectangle Multiplication Multiplication Applet Sieve of Eratosthenes Summary of Patterns Zero Property a x 0 = 0 x a = 0

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**Information Path survey data frequency table line plot**

stem-and leaf plot Grade 5 – Unit 3: Explain how data is collected, organized, and used. Have students explain why each step on the path is important to subsequent steps (i.e. without the survey there would be now data). Explain the difference between the different graphs and why graphs are useful (i.e. to draw conclusions or make predictions). line graph histogram bar graph Related URLs: Take a Survey! Create a Graph Histogram Bar graph Accessing and Investigating Data Using the World Wide Web Collecting and Examining Weather Data conclusion predictions

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**Probability Of An Event**

impossible equally likely certain Grade 5 – Unit 7: This organizer shows a continuum scale for the outcome of an event. Point out that a probability of 0 means that the outcome is impossible. An equally likely outcome has a probability of ½ . A certain outcome has a probability of 1. As you move to the right on this continuum from ½, an outcome becomes more likely to occur. As you move to the left on the continuum form 1/2, an outcome is less likely to occur. less likely more likely 1 Related URLs: Spinner, Stick or Switch, Coin Toss,

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**Triangle Classification**

scalene no congruent sides sides isosceles at least two congruent sides equilateral three congruent sides Triangles One obtuse angle two acute angles obtuse angles Unit 6 – Grade 5: Discuss which of the triangles are classified by sides and which are classified by angles. Then discuss the definition of each type of triangle. Point out that an equilateral triangle has three congruent sides and isosceles has at least two congruent sides. Therefore all equilateral triangles are also isosceles triangles. one right angle two acute angles right three acute angles acute Related URLs: Virtual Congruent Triangles, Investigating the Concept of Triangle and the Properties of Polygons: Making Triangles,

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**Proper and Improper Fractions**

unit fraction simple form mixed number Proper Fractions Improper Fractions Unit 5 - Grade 5: Compare and contrast proper and improper fractions to show the differences between the two types of fractions. Proper fractions are less than 1 and can be unit fractions. Improper fractions are greater than or equal to 1 and can be written as mixed numbers. The graphic organizer also shows that both types of fractions have reciprocals and can be written in simplest form. is less than1 reciprocal Is greater than or equal to 1 Related URLs: Fractions - Parts of a Whole , visualizing, naming, adding, comparing, multiplying

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**Different Ways to Write a Number**

Expanded form: 60, , = Standard form: 65,921 4 different ways Word form: sixty-five thousand, nine hundred twenty-one Short word form: 65 thousand, 921

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**Exploring Prime Numbers**

Definition Fact A whole number that has only itself and 1 as factors Even numbers can not be prime 1 is not prime PRIME NUMBERS Examples Non-examples 12, 15, 16 19, 29, 31

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**Different Types of Polygons**

Square Pentagon Parallelograms Rectangle Rhombus Hexagon Quadrilaterals Polygons Octagon Trapezoid Triangles This organizer shows how to classify polygons by the number of sides. Explain that triangles are classified in tow ways: by the length of their sides (equilateral, isosceles, and scalene) and by the size of their angles (right, obtuse, and acute). Quadrilaterals are also broken down by type. A square, a rectangle, and a rhombus are all parallelograms. A trapezoid is not. Equilateral Right Isosceles Scalene Obtuse Acute

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**How to Plot an Ordered Pair**

Name an ordered pair x – axis horizontal axis x - coordinate y – axis vertical axis y - coordinate Show students how to plot an ordered pair. This flow chart begins with naming an ordered pair. Explain that the first number of an ordered pair is the x-coordinate. The x-coordinate tells how far to the right to move along the x-axis, or horizontal axis. The y-coordinate tells who far up to move along the y-axis, or vertical axis. Once you have determined how far to move along each axis, you plot the point at the intersection. Plot the point at the intersection

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**Units of Measure Units of Measure length capacity weight temperature**

centimeter milliliter length inch meter capacity cup liter foot pint yard quart gallon Units of Measure Show students each form of measurement as you review each vocabulary word. Also clarify for students which units are metric and which are customary [metric will all appear in red in the series of actions]. weight temperature pounds degrees Fahrenheit kilograms degrees Celsius

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