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 00 Creative Teaching Press, Inc., Huntington Beach, CA 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 Natural Numbers and Decimals Natural Numbers and Decimals Rational and Irrational Decimals Rounding Decimals Estimating Decimal Products and Quotients Multiplying Decimals Dividing Decimals Exponents Exponential Notation Algebra Variables Associative and Commutative Properties Distributive Property Order of Operations Inverse Operations Inverse Operations: Addition Inverse Operations: Subtraction Inverse Operations: Multiplication.... Inverse Operations: Division Variables Inequalities Graphing Inequalities Factors and Fractions Divisibility Factors, Primes, and Composites Prime Factorization Least Common Multiple Greatest Common Factor Simplifying Fractions Functions Comparing Fractions Improper Fraction to Mixed Number... Mixed Number to Improper Fraction... Adding and Subtracting Fractions..... Adding Mixed Numbers Subtracting Mixed Numbers Factors and Fractions Fractions to Percents Multiplying Fractions Multiplying Mixed Numbers Dividing Fractions Dividing Mixed Numbers Multistep Problems Along the Way Altogether Geometry Lines and Line Segments Angles Angle Measurement Geometry Terms Polygons Similar and Congruent Similar Triangles Similar Figures Parts of a Circle Geometric Solids Spatial Relationships Angles, Circles, and Solids The X, Y Axis Using a Cartesian Plane Reflections Across the X-Axis Reflections Across the Y-Axis Translations Along the X-Axis Translations Along the Y-Axis Oblique Translations Transformations Perimeter Area Area of a Triangle and Trapezoid..... Circumference

3 Area of Circles Area and Circumference of Circles.... Points, Shapes, and Solids Ratio and Proportion Ratios Rates Proportions Cross Multiplication Proportions Unit Price Ratio and Proportion Data Analysis and Problem Solving Percent Fractions, Decimals, and Percents..... More Fractions, Decimals, and Percents Percent of a Number Data Analysis Mean, Median, Mode, and Range..... Reading Tables Reading Line Graphs Creating a Circle Graph Scatter Plots Reading Graphs The Bottom Line Rational Numbers Terminating Decimals Repeating Decimals Comparing Rational Numbers The Density Property Scientific Notation Your Checkbook Be Rational! Probability Combinations Permutations Impossible and Certain Calculating Chance Answer Key Integers Defining Integers Absolute Value Adding Integers Subtracting Integers Exploring Linear Equations Positive and Negative

4 Name Date Natural Numbers and Decimals N ATURAL N UMBERS AND D ECIMALS Natural numbers are the counting numbers. They are greater than zero and represent only whole quantities. Decimals represent some part of a whole. Example:. represents three wholes and one-half of a whole. Identify each as a natural number or decimal Solve. 0 Standards-Based Math 00 Creative Teaching Press 0 0 0

5 Name Date Rational and Irrational Decimals N ATURAL N UMBERS AND D ECIMALS Decimals that are rational numbers can be turned into either repeating or terminating decimals. 0. and 0. are terminating decimals. 0., 0., and 0. are repeating decimals with a pattern that never ends. Decimals that are irrational numbers go beyond the point that we can calculate them. = π = Translate each fraction or square root into a decimal. Write each fraction from the fraction box beneath the appropriate heading. Find the irrational numbers and write them under the appropriate heading. Fraction Box π 0 0 Terminating Repeating Irrational Did you know? The philosopher Hippasus used geometric methods to prove that irrational. This so irritated the other mathematical philosophers that they threw him overboard. How's that for irrational? is Standards-Based Math 00 Creative Teaching Press

6 Name Date Rounding Decimals N ATURAL N UMBERS AND D ECIMALS Ones Tenths Hundredths Thousandths Ten Thousandths Round. to the nearest tenth.. ææ. Round. to the nearest hundredth.. ææ. Round each number to the indicated place value. Round. to the nearest tenth Round.0 to the nearest thousandth Round. to the nearest hundredth Round. to the nearest ten-thousandth Round. to the nearest hundredth Round.0 to the nearest tenth Round. to the nearest thousandth Round. to the nearest thousandth Standards-Based Math 00 Creative Teaching Press 0 Round. to the nearest hundredth Round 0.0 to the nearest tenth Round. to the nearest thousandth Round. to the nearest tenth Round.0000 to the nearest ten-thousandth Round. to the nearest thousandth