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 2010 2004 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.
Table of Contents Introduction..................................... Number and Operations Number Value............................. 4 Number Notations.......................... Inverse Operations.......................... Riddle.................................... 7 Comparing Integers......................... 8 Subtracting Integers........................ Multiplying Integers....................... 10 Dividing Integers.......................... 11 Multiplying and Dividing Integers............. 12 Checks and Balances....................... 1 Mental Math with Zeros.................... 14 Multiplying Larger Numbers................. 1 Fraction Review........................... 1 Fraction of a Set.......................... 17 Converting Fractions to Decimals............. 18 Converting Fractions to Repeating Decimals..... 1 Converting Decimals to Percents.............. 20 Approximate Percents...................... 21 Multiples................................ 22 Least Common Multiple..................... 2 Greatest Common Factor.................... 24 Reducing Fractions......................... 2 Adding Fractions.......................... 2 Subtracting Fractions....................... 27 Improper Fractions to Mixed Numbers........... 28 Mixed Numbers to Improper Fractions........... 2 Multiplying Fractions....................... 0 Multiplying Mixed Numbers................. 1 Dividing Fractions......................... 2 Decimals to Fractions....................... Percent of a Set........................... 4 Percent of a Value......................... Leaving a Tip............................. Paying Sales Tax........................... 7 Algebra Analogies 1.............................. 8 Analogies 2.............................. Patterns................................. 40 Number Patterns 1......................... 41 Number Patterns 2......................... 42 Order of Operations....................... 4 Commutative Property...................... 44 Associative Property........................ 4 Distributive Property....................... 4 Exponents............................... 47 Exponential Notation...................... 48 Variables................................ 4 Inverse Operations......................... 0 Inverse Operations: Addition................ 1 Inverse Operations: Subtraction.............. 2 Inverse Operations: Multiplication............ Inverse Operations: Division................. 4 Variables 1............................... Variables 2............................... Variables............................... 7 Variables 4............................... 8 Evaluating Expressions...................... Inequalities.............................. 0 Functions 1............................... 1 Functions 2............................... 2 Functions............................... Writing and Solving Equations............... 4 Venn Diagrams........................... Geometry Angles.................................. Angle Measurement....................... 7 Geometry Terms........................... 8 Quadrilaterals............................ Polygons................................. 70 Similar and Congruent...................... 71 Similar Triangles........................... 72 Similar Figures............................ 7 Prisms and Pyramids....................... 74 Cylinders, Cones, and Spheres................ 7 Pythagorean Proof......................... 7 Pythagorean Theorem...................... 77 Parts of a Circle........................... 78 The X, Y Axis............................. 7 Coordinate Pairs.......................... 80 Using a Cartesian Plane..................... 81 Plotting Points............................ 82 Reflection Symmetry 1...................... 8 Reflection Symmetry 2...................... 84 Rotational Symmetry....................... 8 Reflections Across the X-Axis................. 8 Reflections Across the Y-Axis................. 87 Translations Along the X-Axis................ 88 Translations Along the Y-Axis................ 8 Oblique Translations....................... 0 Transformations........................... 1 Measurement Perimeter................................ 2 Area................................... Area of a Triangle......................... 4 Circumference............................ Area of Circles............................ Circumference and Area of Circles............ 7 Perimeter and Area of Curved Shapes........... 8 Volume.................................. Volume of Rectangular Prisms............... 100 Surface Area............................ 101 Measurement Equivalents.................. 102 Length and Weight....................... 10 Capacity................................ 104 Data Analysis and Probability Average................................ 10 Mean, Median, Mode, and Range............ 10 Analyzing Data.......................... 107 Bar Graphs.............................. 108 Pie Graphs.............................. 10 Line Graphs............................. 110 Probability and Statistics Vocabulary.......... 111 Determining Probability................... 112 Certain or Impossible?..................... 11 Answer Key................................... 114
Number Value Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones Tenths Hundredths Thousandths 2 4 0 8 1 7 Write the number in words. 1 42 2 402 40. 4 82,74 0,004.08 4,78,12 Write the value of the underlined digit. 7 4,7 8 7,20.008 100,2.4 10 4,08. Order the numbers from greatest to least. 11 4; 4; 4; 4 12,04;,087; 4,0;,708 1 4.04; 44.0; 4.04; 40.4 14 24.8; 24.4; 24.8; 4.4 Standards Based Math 2004 Creative Teaching Press 4
Number Notations Numbers can be expressed in different forms or notations. standard =,24 expanded notation =,000 + 200 + 0 + 4 scientific notation = ( 10 ) + (2 10 2 ) + ( 10) + 4 Write each number in expanded and scientific notation. 1 2,787,700 4 42,8,00, Find each error. Rewrite the expanded or scientific notation correctly. 21 = 200 + + 1 Standards Based Math 2004 Creative Teaching Press 7 8 10,78 = ( 10 4 ) + (7 10 ) + ( 10 2 ) + (8 10 0 ) 7,080 = (7 10 4 ) + (8 10 2 ) + 8 4,2 = 40,00 +,000 + 200 + 0 +,024 = 0,000 +,000 + 200 + 40
Inverse Operations Inverse operations are useful for checking your accuracy. 7 121 121 4 27 + 4-7 - 4-27 + 18 121 4 7 18 4 Add or subtract. Then use the inverse operation to check your work. 1 24 2, 2 + + 87-78 8 4 8, 4 2, 22 + 4, 877 +,, 744-1, 7 7, 04 8 4, 2 + 2, 7-2, 78 7, 411-2, 77 10 24, 80 11 4, 00 12 + 8, 12-10, 8 12, 87 + 8, 24 Standards Based Math 2004 Creative Teaching Press