Written by Alaska Hults

Transcription

1 Standards-Based Math Written by Alaska Hults Editor: Collene Dobelmann Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Rosa Gandara Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project Director: Carolea Williams Reprinted Creative Teaching Press, Inc., Huntington Beach, CA 24 Reproduction of activities in any manner for use in the classroom and not for commercial sale is permissible. Reproduction of these materials for an entire school or for a school system is strictly prohibited.

2 Table of Contents Introduction Number and Operations Number Value Number Notations Inverse Operations Riddle Comparing Integers Subtracting Integers Multiplying Integers Dividing Integers Multiplying and Dividing Integers Checks and Balances Mental Math with Zeros Multiplying Larger Numbers Fraction Review Fraction of a Set Converting Fractions to Decimals Converting Fractions to Repeating Decimals Converting Decimals to Percents Approximate Percents Multiples Least Common Multiple Greatest Common Factor Reducing Fractions Adding Fractions Subtracting Fractions Improper Fractions to Mixed Numbers Mixed Numbers to Improper Fractions Multiplying Fractions Multiplying Mixed Numbers Dividing Fractions Decimals to Fractions Percent of a Set Percent of a Value Leaving a Tip Paying Sales Tax Algebra Analogies Analogies Patterns Number Patterns Number Patterns Order of Operations Commutative Property Associative Property Distributive Property Exponents Exponential Notation Variables Inverse Operations Inverse Operations: Addition Inverse Operations: Subtraction Inverse Operations: Multiplication Inverse Operations: Division Variables Variables Variables Variables Evaluating Expressions Inequalities Functions Functions Functions Writing and Solving Equations Venn Diagrams Geometry Angles Angle Measurement Geometry Terms Quadrilaterals Polygons Similar and Congruent Similar Triangles Similar Figures Prisms and Pyramids Cylinders, Cones, and Spheres Pythagorean Proof Pythagorean Theorem Parts of a Circle The X, Y Axis Coordinate Pairs Using a Cartesian Plane Plotting Points Reflection Symmetry Reflection Symmetry Rotational Symmetry Reflections Across the X-Axis Reflections Across the Y-Axis Translations Along the X-Axis Translations Along the Y-Axis Oblique Translations Transformations Measurement Perimeter Area Area of a Triangle Circumference Area of Circles Circumference and Area of Circles Perimeter and Area of Curved Shapes Volume Volume of Rectangular Prisms Surface Area Measurement Equivalents Length and Weight Capacity Data Analysis and Probability Average Mean, Median, Mode, and Range Analyzing Data Bar Graphs Pie Graphs Line Graphs Probability and Statistics Vocabulary Determining Probability Certain or Impossible? Answer Key

3 Number Value Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Write the number in words ,74 0, ,78,12 Write the value of the underlined digit. 7 4,7 8 7, , ,08. Order the numbers from greatest to least. 11 4; 4; 4; 4 12,04;,087; 4,0;, ; 44.0; 4.04; ; 24.4; 24.8; 4.4 Standards Based Math 2004 Creative Teaching Press 4

4 Number Notations Numbers can be expressed in different forms or notations. standard =,24 expanded notation =, scientific notation = ( 10 ) + ( ) + ( 10) + 4 Write each number in expanded and scientific notation. 1 2,787, ,8,00, Find each error. Rewrite the expanded or scientific notation correctly. 21 = Standards Based Math 2004 Creative Teaching Press ,78 = ( 10 4 ) + (7 10 ) + ( 10 2 ) + ( ) 7,080 = ( ) + ( ) + 8 4,2 = 40,00 +, ,024 = 0,000 +,

5 Inverse Operations Inverse operations are useful for checking your accuracy Add or subtract. Then use the inverse operation to check your work , , 4 2, , 877 +,, 744-1, 7 7, , 2 + 2, 7-2, 78 7, 411-2, , , , 12-10, 8 12, , 24 Standards Based Math 2004 Creative Teaching Press