Pre-Algebra. Tests and Resources. Author: Shelly Chittam, M.S. Managing Editor: Alan Christopherson, M.S.

Transcription

1 Pre-Algebra Tests and Resources Author: Shelly Chittam, M.S. Managing Editor: Alan Christopherson, M.S. Editors: Laura Messner, B.A. Rachelle Wiersma, M.A. Graphic Design & Illustration: Ron A. Hartmann, B.A. Alpha Omega Publications, Inc. Rock Rapids, IA

2 MMX by Alpha Omega Publications, Inc. 804 N. nd Ave. E. Rock Rapids, IA All rights reserved. No part of this publication may be reproduced, stored in an electronic retrieval system, or transmitted in any form by any means electronic, mechanical, photocopy, recording or otherwise without the prior written permission of Alpha Omega Publications, Inc. Brief quotations may be used in literary review. Printed in the United States of America ISBN All rights reserved.

3 Pre-Algebra Tests and Resources Contents Introduction... 5 Where to Use Pre-Algebra Worksheets... 7 Tests Quarter Tests Worksheets Formula Strips... 9 Nets Supplements -... Algebra Tiles... 7

4 The Horizons Pre-Algebra Tests and Resources Book is a consumable component that is to be used with the Horizons Pre-Algebra course. This book should be kept by the teacher and the pages should be passed out as they are called for in the Teacher s Guide Lesson Plan. By providing the tests and worksheets in a separate book the opportunity is reduced for the student to see these materials before they are distributed which will increase the validity of the assessment results. Each item should be removed from this book prior to distribution. The pages are perforated for easy removal. This book includes the following: Course Introduction Tests There are 6 tests in the Horizons Pre-Algebra course. One test follows each set of 0 lessons. Eams Four eams have been developed for this course. One eam follows every 40 lessons. Eam 4 is also a fi nal eam. You have the option of administering the fi rst two pages as a fourth quarter eam, or all si pages as a cumulative fi nal eam. Worksheets This course has 80 worksheets. These worksheets have been developed for reinforcement and drill. A complete listing of the worksheets and where they might best be used is provided on the following pages or in the Teacher s Guide. Some Worksheets are for additional practice of a new concept while others are for review or a quiz grade. The Lesson Plan will indicate which case applies for each Worksheet. Formula Strips Occasionally, formula strips are called for in this course. Students should cut these out when the Lesson Plan calls for them. The number of formulas and conversion factors that the students must memorize has been limited to the ones that are typically required by standardized testing. Nets Supplements This course includes supplements for the lessons that cover nets of -D shapes. Students should cut these out when the Lesson Plan calls for them. Details on their use are given in the Lesson Plans where needed. Algebra Tiles Algebra tiles will be used in this course. The students should cut these out the fi rst time the Lesson Plan calls for them, and store them in a ziptop bag for future use. These manipulatives will assist both visual and kinesthetic learners in mastering algebraic concepts. 5

5 Where To Use Pre-Algebra Worksheets In the Tests and Resources book you will fi nd eighty worksheets. This chart shows where worksheets may be used for Horizons Pre-Algebra. No. Concept Lessons Where Worksheets Are Used 5-digit Addition and Subtraction... -digit Multiplication, -digit by -digit Division... Identify Numbers, Estimate Sums and Products Signed Numbers, Absolute Value Factors and Multiples Eponential Form... 7 Squares, Order of Operations... 8 Order of Operations Eponents, Divisibility Tests, GCF LCM, GCF, Radical Epressions...0 Radicals, Writing Mathematical Epressions... Addition and Subtraction of Decimals... Combining Like Terms Solving Inequalities, Operations with Decimals Powers of Ten Operations with Powers of Ten... 7 Decimal Fraction Conversions... 8 Metric Conversions Decimal to Fraction Equivalents English to Metric Conversions...40 Addition of Mied Numbers...4 Subtraction of Mied Numbers...4 English to Metric Length Conversion Proportions Percents Fraction to Percent Conversions, Percent Decrease Mark-up and Discount Discount and Mark-up Simple Interest Pictographs...60 Compound Interest...6 Mean, Median...6 Pictographs, Circle Graphs Frequency Distribution Probabilities Stem-and-Leaf Plot, Histogram Probability, Odds Probability, Odds Probabilities Epected Values

6 Where To Use Pre-Algebra Worksheets, continued: No. Concept Lessons Where Worksheets Are Used 4 Probabilities Perimeter and Area of Rectangles and Squares Perimeter and Area of Parallelograms Perimeter and Area of Triangles and Trapezoids Congruent Triangles Symmetry, Congruent Triangles Lateral Area, Surface Area, Volume Lateral Area, Surface Area, Volume Lateral Area, Surface Area, Volume Area, Volume Mass, Weight, Density Circle Terminology, Parallel and Skew Lines Points, Lines Complementary, Supplementary, and Vertical Angles Graphing Linear Equations Quadrants, Graphing Linear Equations Graphing Inequalities, Slope Slope Solve Systems of Equations English SI Conversions English SI Conversion Triangles Triangles Triangles, Sine, Cosine Adding Polynomials Types of Polynomials Subtracting Polynomials Addition and Subtraction of Polynomials Multiplication and Division of Polynomials Division of Polynomials, FOIL Division of Polynomials, FOIL Flips, Turns Flips, Turns, Slides Refl ections, Rotations, Scaling Review Terms Percent Problems Permutations, Combinations Congruent Triangles Word Problems Area of Triangles

7 Identify each number as natural, whole, integer, rational, irrational, or real. Some numbers may have more than one answer. Test 4 points Natural Whole Integer Rational Irrational Real π _ 0.07 Estimate the sum by rounding to the nearest thousand. 4 points Estimate each product by rounding to the nearest ten. 8 4 points Solve, using the rules for signed numbers. (+48) + (+4) = (-) + (+4) = (-) (-4) = (9)() = (5)(-6) = (-9)(4) = (-)(-0) = Solve, using the rules of absolute values = + 56 = 75 9 = + 4 = (+99) + (-7) = (+5) (+7) = (-8) (+8) = (-6)(40) = (0)()(-) = (-)(8)(-) = (-5)(-)(-) = 97 9 = 8 = = = 4 points 0 points 79 = = 9

8 Find all of the natural number factors for each of the following numbers. Test 4 points Write 5 multiples of each of the following numbers. 5 points 8 Solve. 0 points points total

9 Use the divisibility tests to tell if,, 4, 5, 6, and 9 are factors of each number. Eam 4 points Estimate the sum by rounding to the nearest thousand. points Estimate each product by rounding to the nearest ten points 4 Solve, using the rules for signed numbers. (+5) + (+) = (-) + (+7) = (-)(5)(-) = (-6)(-9)(-) = 4 points 5 Solve, using the rules for absolute values. 4 points = 84 6 = + 9 = = 6 Solve. 8,94 +, 97 6,59, points Epress the prime factorization of each number using eponents points 8 Solve, following the order of operations. ( ) + 5 = ( ) 8 7 = points 4

10 Order of Operations Simplify each epression, following the proper order of operations. Worksheet = = = = = 6 ( 6) = ( 5 0) 4 9 = ( ) 0 = ( ) = ( ) = ( ) = ( ( ) ) = (( 4 7) 5) + = ( ) + = = 7

11 Perimeter and Area of Rectangles and Squares Complete the chart for rectangles. Worksheet 4 Short side Long side Perimeter Area 8 cm 0 cm ft. 77 sq. ft. 4. in.. in.. km.77 km m 6 m yd. 5 yd. 4 Complete the chart for squares. Side Perimeter Area 8 cm 49 sq. ft. 6 in km 4 m yd. 4 4

12 Reflections, Rotations, Scaling Plot the given points in blue and join them to form a polygon. Graph the refl ection over the -ais in green and the refl ection over the y-ais in red. (, ), (, 4), and (4, 0) Worksheet 74 Plot the given points in blue and join them to form a polygon. Graph the rotation 90 clockwise in green and the rotation 90 counterclockwise in red. (, ), (, 4), and (4, 0) Plot the given points in blue and join them to form a polygon. Calculate the coordinates of the fi gure when you scale it by a factor of 0.5 and draw its graph in green. Calculate the coordinates of the fi gure when you scale it by a factor of.5 and draw its graph in red. (, ), (, 4), and (4, 0) 05

13 Formula Strips For use on Test 6 Plane geometry: Parallelogram: A = bh Triangle: A = bh A = b + b h Trapezoid: ( ) Regular polygons: ap Area: A = For use on Eam 4 English length equivalents: mile = 580 feet mile = 760 yards yard = feet yard = 6 inches English-Metric length equivalents: inch =.54 cm inch = 5.4 mm yard = 0.9 meter mile =.6 km Metric-English length equivalents: cm = 0.9 inch meter =.09 yards km = 0.6 mile Weight-mass equivalents: ounce (oz.) = 8.5 g pound (lb.) = kg short ton (S. ton) = 907 kg g = 0.05 oz. kg =. lb. metric ton (M. ton) =. S. ton English-metric liquid equivalents: ounce (oz.) = 0 ml quart (qt.) = 0.95 L gallon (gal.) =.8 L Metric-English liquid equivalents: ml = 0.04 ounce L =.06 quarts L = 0.6 gallon Plane geometry: Parallelogram: A = bh Triangle: A = bh A = b + b h Trapezoid: ( ) Circle: C = π r A = πr Regular polygon: A = ap Solid geometry: Cylinder: LA = π rl V = π SA = π rl+ π r r h Pyramid: V = Bh LA = PL SA = PL+ B Sphere: V = 4 πr Prism: V = Bh LA = PL SA = PL+ B Cone: V = LA = πrl SA = 4π r π SA = πrl+ πr r h

14 Supplement : Dodecahedron Directions: Cut on the solid black lines and fold on the solid blue lines. Tape the edges together to form a dodecahedron. 5

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