Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute Student M.1.4 Number Sense and Operations Instructor Materials Alignment M.1.4.1 Carry out calculations using addition, subtraction, multiplication, and division with numbers of any size using efficient written methods including ways to check answers, e.g., approximate calculations, estimation, etc. Number Power 1, pg. 15 - 119 Threshold Math 1, pg. 22 - 77 S-V Bldg. Strategies Math (1996 and 2006 editions), pgs. 24, 30-80 Ach. TABE Success in Math - D, pgs.15-31, 58, 37 S-V Basic Essentials of Math 1, pgs. 10, 14-17, 23-26, 3234,36,39 Number Sense, Multiplying/Dividing Fractions, pgs.4556 M.1.4.2 Identify the greatest common factor in a given number set. Number Power 2, pg. 15 - 17 Ach. TABE Success in Math - D, pg. 59 Number Sense-Meaning of Fractions, pgs. 31-46 M.1.4.3 Identify prime numbers up to 100. Contemporary GED Math, pgs. 20-21 M.1.4.4 Read, write, order, and compare fractions and mixed numbers. Number Power 2, pg. 14 Threshold Math 2, pgs. 10-26 Ach. TABE Success in Math - D, pg. 63 Contemporary Foundations in Math, pgs. 123-128 M.1.4.5 Recognize and use equivalent forms of common fractions (e.g., 1/2 = 5/10). Number Power 2, pgs. 15-18 Threshold Math 2, pgs. 13-19 S-V Bldg. Strategies Math (1996 ed.), pgs. 120-124 S-V Basic Essentials of Math 1, pg. 42 M.1.4.6 Demonstrate an understanding of simple percent increase and decrease. Number Power 2, pgs. 108, 114 Basic Sills with Math Ratios & Per., pgs. 81-84 S-V Basic Essentials of Math 2, pgs. 18-19 Number Sense -Percent Application, pgs. 58-59 M.1.4.7 Round decimals in practical contexts and verbal problems. Number Power 2, pgs. 71-72, 83 Threshold Math 1, pgs. 136-138 S-V Bldg. Strategies Math (1996 ed.), pgs. 98, 106 Threshold Math - 1, pgs. 136-138 Ach. TABE Success in Math - D, pg. 42 S-V Basic Essentials of Math 1, pgs. 85, 87, 99 ABE Math Level 4 Revised July 28, 2011 Date Enrolled Benchmark Assessment Mastery Level % Date & Initials Page 1 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.1.4 Number Sense and Operations (cont.) Materials Alignment M.1.4.8 Multiply and divide with numbers involving decimals, e.g., 2.5 x 3.6 and 3.2 ÷ .06 with pencil and paper and using the calculator. Number Power 2, pgs. 79-93 Camb. Basic Skills w/ Math, pgs. 41-49, 60-71 S-V Bldg. Strategies Math (1996 ed.), pgs. 100-107 Ach. TABE Success in Math – D, pgs. 46-49 S-V Basic Essentials of Math 1, pgs. 90-96 M.1.4.9 Use proportions to solve one-step real-life problems, i.e., involving percents, dimensions, scales, etc. Number Power – 3, pgs. 88-89, 90-91 Number Power – 6, pgs. 90-103, 106-109 S-V Bldg. Strategies Math (1996 ed.), pg. 152 Camb. Basic Skills w/ Math Ratios and Percents, pgs. 2028, 66-73 Ach. TABE Success in Math – D, pgs. 83-85, 96-98 S-V Basic Essentials of Math 2, pgs. 93-98, 104, 112 Contemporary Foundations Mathematics, pgs. 162-163 M.1.4.10 Recognize and use equivalencies between common fractions, decimals, and percents to find part of whole-number quantities, i.e., know common fraction, decimal, and percent equivalents. Number Power 2, pgs. 98-103 Number Power 6, pgs. 137-144 Threshold Math 2, pgs. 116-130 Camb. Basic Skills w/ Math Ratios & Per., pgs. 39-47 Ach. TABE Success in Math – D, pgs. 89-90 S-V Basic Essentials of Math 1, pg. 79 S-V Basic Essentials of Math 2, pg. 8 Contemporary GED Math, pg. 155 M.1.4.11 Compute percents by finding the part, the percent, and the whole. Number Power 2, pgs. 104-107, 110-113, 115-120 Number Power 6, pgs. 118-136 Threshold Math 2, pgs. 131-145 S-V Bldg. Strategies Math (1996 ed.), pgs. 158-163 Camb. Basic Skills w/ Math Ratios & Per., pgs. 49-62, 7594 Ach. TABE Success in Math - D, pgs. 94-95 S-V Basic Essentials of Math 2, pgs. 12, 21, 23, 25-27, 30, 106 M.1.4.12 Use a calculator to calculate efficiently using whole numbers, fractions, decimals, and percents. Number Power 2, pgs. 69, 109 S-V Bldg. Strategies Math (1996 ed.), pgs. 38, 50, 68, 82, 107, 127, 138, 162 Contemporary GED Math, pgs. 28-29, 30, 33, 35, 45, 82, 84, 86, 89, 91, 94, 106, 110, 112, 125, 152, 154, 156, 160-161, 235-236, 242-243, 254, 260, 344, 440 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Page 2 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.2.4 Measurement Materials Alignment M.2.4.1 Read, measure, estimate, calculate, and compare with and between Fahrenheit and Celsius temperatures using formulas provided. Number Power 3, pgs. 180-181 Number Power 9, pgs. 74-83 Camb. Basic Skills w/ Math, pgs. 52-53 Top 50 Math, pgs. 94-95 Spectrum Math-purple, pg. 86 M.2.4.2 Measure common 3-D shapes (e.g. a room, window, box, etc.) and represent the information as a scale drawing. Number Power 4, pgs. 127-142 Top 50 Math, pgs. 52-53 M.2.4.3 Use the language (meters to measure length, grams to measure mass, liters to measure volume) and prefixes (mili, centi, deci, deca, hecto, kilo) of metric units to describe environment. Number Power 4, pgs. 78-87 Threshold Math 1, pgs. 78-84, 168-170 Number Power 9, pgs. 10-11 Camb. Basic Skills w/ Math, pgs. 31-33 Threshold Math 1, pgs. 78-84, 168-170 Number Power 9, pgs. 10-11 Ach. TABE Success in Math - D, pg. 135 Ach. TABE Success in Math – A, pgs. 149-151 M.2.4.4 Make informal comparisons and estimations between grams and ounces, kilograms and pounds, and liters and quarts. Threshold Math 1, pgs. 78-84 Camb. Basic Skills w/ Math Ratios & Per., pgs. 13-17 Ach. TABE Success in Math - D, pgs. 133-135, 137 Top 50 Math, pgs. 40-41 Ach. TABE Success in Math - A, pg. 152 M.2.4.5 Calculate volume and surface area of basic cubes, cylinders, and rectangular containers using formulas provided. Number Power 2, pgs. 140-141 Number Power 9, pgs. 94-115 Number Power 7, pgs. 162-169 Math Power Series, pgs. 77-79 Ach. TABE Success in Math – D, pgs. 147-148 S-V Basic Essentials of Math 1, pgs. 56-59-60 Ach. TABE Success in Math - A, pgs. 156-157 Contemporary GED Math, pgs. 249-255 M.2.4.6 Calculate the perimeter and area of basic irregular or composite shapes, i.e., shapes formed by a combination of rectangles and triangles using formulas provided. Number Power 2, pgs. 136-139 Threshold Math 2, pgs. 81-87 Threshold Math 1, pgs. 93-108, 172-176 Number Power 9, pgs. 154-161, 162-169 Math Power Series, pgs. 80-84 Ach. TABE Success in Math – D, pgs. 141, 143, 144-145, Ach. TABE Success in Math – A, pgs. 153, 155 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Page 3 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.2.4 Measurement (cont.) Materials Alignment M.2.4.7 Find equivalencies and solve problems using conversions of units of weight, length/width, and capacity. Threshold Math 2, pgs. 77-81 Number Power 9, pgs. 57-73, 116-121 Math Power Series, pgs. 77-84 Ach. TABE Success in Math – D, pgs. 134, 136 S-V Basic Essentials of Math 2, pgs. 32-34, 37-42, 108 M.2.4.8 Interpret, calculate, apply rates, and estimate equivalencies involving time such as velocity (mi/hr, ft/sec, m/sec), frequency (calls/hr), consumption (cal/day, kw/hr), flow (gal/min), change (degrees/min, inches/year), and unit rates (cents/min, $/sq. ft., mi/gal). Number Power 3, pgs. 170-171 Number Power 9, pgs. 128-153 Camb. Basic Skills w/ Math Ratios & Per., pgs. 31-32 Math Power Series, pgs. 88-92 Ach. TABE Success in Math – D, pgs. 86-87 Contemporary GED Math, pgs. 172-173 M.2.4.9 Interpret and use scale drawings to solve real-life problems. Number Power 4, pgs. 92-93, 96-105, 174-175 Number Power 9, pgs. 48 Camb. Basic Skills w/ Math Ratios & Per., pgs. 29-30 M.2.4.10 Relate the measure of one object to another (e.g., this is about 3 times as long, 6 of these will fit in there) and plan linear spacing in a design (e.g., how many lines of what size can fit on a poster of a certain height?). Number Power 4, pg. 178 M.3.4 Geometry Materials Alignment M.3.4.1 Identify and compare elements of a circle (center, radius, diameter, arc, circumference). Number Power 4, pgs. 110-117 Ach. TABE Success in Math - D, pg. 120 S-V Basic Essentials of Math 2, pg. 53 M.3.4.2 Calculate circumference of a circle using formulas provided. Number Power 2, pg. 142 Number Power 4, pg. 110-117 Threshold Math 1, pgs. 177-183 Math Power Series, pgs. 126-131 Ach. TABE Success in Math - D, pg. 142 S-V Basic Essentials of Math 2, pgs. 53,55 M.3.4.3 Understand the relationship of angles when you have a system of parallel lines cut by a transversal. Number Power 4, pgs. 28-33, 110-113 Number Power 9, pgs. 40-43 Math Power Series, pgs. 44-47 Top 50 Math, pgs. 56-57 Ach. TABE Success in Math – A, pgs. 132-135 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Benchmark Assessment Mastery Level % Date & Initials Page 4 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.3.4 Geometry (cont.) Materials Alignment M.3.4.4 Show more than one line of symmetry in complex shapes. Ach. TABE Success in Math – M, pg. 151 M.3.4.5 Interpret concepts of similarity and identify figures that are similar or congruent. Contemporary GED Math, pgs. 263-271 M.3.4.6 Demonstrate understanding of the 360– degree system of measuring angles and rotation. Number Power 4, pgs. 16-20 M.3.4.7 Estimate the measure of an angle, accurately measure an angle using a protractor, and draw angles of specific measures using a protractor and ruler. Number Power 4, pgs. 16-25 Number Power 9, pgs. 38-40 Spectrum Math – Purple, pgs. 108-109 Real Numbers – Geometry, pgs. 6-7 M.3.4.8 Apply the Pythagorean Theorem using simple numbers and basic right triangles. Number Power 4, pgs. 64-69, 162-163 Number Power 3, pgs. 184-185 Math Power Series, pgs. 119-121 S-V Basic Essentials of Math 2, pg. 52 Top 50 Math, pgs. 60-61 Ach. TABE Success in Math - A, pg. 139 Contemporary GED Math, pgs. 271-275 M.4.4 Data Analysis and Probability Materials Alignment M.4.4.1 Develop and draw conclusions from tables and graphs using instructor or student selected information. Number Power 8, pgs. 13-14, 72-76 Number Power 5, pgs. 16-17 Number Power 7, pgs. 140-153 Camb. Basic Skills w/ Math, pgs.33-38 Ach. TABE Success in Math – D, pgs. 154-157 Ach. TABE Success in Math - A, pg. 107 Contemporary GED Math, pgs. 197-211 M.4.4.2 Gather data to answer a posed question and analyze and present data visually. Number Power 8, pgs. 10-14, 30-31, 68-69 Number Power 5, pgs. 18-19 Threshold Math 2, pgs. 172-196 Number Power 7, pgs. 140-153 Ach. TABE Success in Math - D, pg. 153 Ach. TABE Success in Math - A, pg. 96 M.4.4.3 Demonstrate that a table can display the same data as a line or bar graph. Number Power 8, pgs. 34-48 Threshold Math 2, pgs. 172-179 Ach. TABE Success in Math - A, pg. 163 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Benchmark Assessment Mastery Level % Date & Initials Page 5 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.4.4 Data Analysis and Probability (cont.) Materials Alignment M.4.4.4 Find the average (mean), median, mode, and range for a data set. Note: it is important for students to recognize that mean and median numbers are considered “averages” and that averages represent numbers typical of the data that can support an argument. Number Power 8, pgs. 60-64 Threshold Math 2, pgs. 108-109, 170 Camb. Basic Skills w/ Math, pgs. 77-79 Ach. TABE Success in Math - D, pg. 158 Ach. TABE Success in Math – A, pgs. 96-97 Contemporary GED Math, pgs. 217-19 M.4.4.5 Identify the minimum, maximum, and spread of a data set and describe the effect of spread on mean and median, i.e., know the minimum or maximum value can greatly affect the mean but will not affect the median. Number Power 8, pgs. 65-67 Ach. TABE Success in Math – D, pg. 158 M.4.4.6 Demonstrate an understanding of line graphs, i.e., that lines going up mean increase, lines tilting down mean decrease and that they can vary over time, flat lines mean no change, and use specific vocabulary to describe trends, i.e., sharp increase, plummeted, etc. Number Power 5, pgs. 56-67 Threshold Math 2, pgs. 182-185 Math Power Series, pgs. 202-205 Ach. TABE Success in Math – D, pg. 163 S-V Basic Essentials of Math 2, pg. 68 Ach. TABE Success in Math – A, pg. 104 M.4.4.7 Know when percent figures don’t add up to 100% and when numbers and percent figures (50%, 25%, 10%) don’t match up, i.e., understand that circle graphs represent 100%. Number Power 8, pgs. 52-54 Number Power 5, pgs. 32-43 Camb. Basic Skills w/ Math Ratios & Per., pgs. 63-65 Ach. TABE Success in Math – D, pgs. 159-160 S-V Basic Essentials of Math 2, pg. 69 Contemporary GED Math, pgs. 197-201 M.4.4.8 Recognize that some visual representations distort actual data (bar widths can provide misleading information) or see where authors of data reports can manipulate data to benefit themselves or malign others in provided materials and know how to recognize who produced a data report and how their interests might affect the report – conflict of interest. Number Power 8, pgs. 77-90, 113-122, 126-129, 156159 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Page 6 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.4.4 Data Analysis and Probability (cont.) Materials Alignment M.4.4.9 Reorient, reorganize, restate, summarize, or reformat report data (make graphs) for a particular purpose and audience. Number Power 8, pgs. 55-59, 132-155 M.4.4.10 Determine and compare probabilities of chance events (e.g., winning lottery prizes). Number Power 8, pgs. 106-112 Math Power Series, pg. 179 Ach. TABE Success in Math – D, pgs.151-152 S-V Basic Essentials of Math 2, pgs.88-92 Benchmark Assessment Mastery Level % Date & Initials Benchmark Assessment Mastery Level % Date & Initials M.4.4.11 Calculate the possible combinations (a selection of items where order doesn’t matter) of up to five items in simple, practical situations (e.g., I have 4 tickets and 5 potential guests). M.4.4.12 Calculate the possible permutations (an arrangement of items/data in a certain order) of up to five elements in simple, practical situations (e.g., ways to sequence titles of 4 different colors in a pattern). M.5.4 Algebra Materials Alignment M.5.4 Algebra M.5.4.1 Identify and use simple formulas from tables with one or two arithmetical steps for reallife contexts. Math Power Series, pgs. 29-31 S-V Basic Essentials of Math 2, pg. 109 M.5.4.2 Use graphs to analyze the nature of changes in quantities in linear relationships and use vocabulary to describe linear change. Top 50 Math, pgs. 76-77 M.5.4.3 Recognize and describe patterns in given sets of numbers in a functional relationship and how changes in one quantity can affect another. Math Power Series, pgs. 88-94 Ach. TABE Success in Math – D, pgs. 99-102 Ach. TABE Success in Math – A, pg. 112 M.5.4.4 Demonstrate understanding of the Cartesian coordinate system. Contemporary GED Math, pgs. 323-325 ABE Math Level 4 Revised July 28, 2011 Page 7 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.5.4 Algebra (cont.) Materials Alignment M.5.4 Algebra M.5.4.5 Use coordinate grid to identify and locate specific points on the x- and y-axes. Number Power 3, pgs. 100-101 Math Power Series, pgs. 52-57 S-V Basic Essentials of Math 2, pgs. 85-86 Ach. TABE Success in Math - A, pg. 140 Contemporary GED Math, pgs. 323-325 M.5.4.6 Graph simple linear equations by generating a table of values from an equation and plotting the coordinates on a graph. Number Power 3, pgs. 100-103, 92-95, 186-187 Math Power Series, pgs. 52-57 Top 50 Math, pgs. 104-110 Contemporary GED Math, pgs. 329-331 M.5.4.7 Determine the slope of a line when given two points on the line or the equation of a line and relate it to change. Number Power 3, pgs. 104-107 Math Power Series, pgs. 205-207, 254-261 Top 50 Math, pgs. 68-69 Contemporary GED Math, pgs. 331-335 M.5.4.8 Write the equation of a simple line when given two points or slope and one point. Number Power 3, pgs. 106-115 Math Power Series, pgs. 205-207 M.5.4.9 Demonstrate an understanding of like terms by combining like terms in simple algebraic expressions. Number Power 3, pgs. 38-43 S-V Basic Essentials of Math 2, pgs. 80, 82 M.5.4.10 Demonstrate an understanding of the order of operations and use the order of operations when simplifying algebraic expressions. Number Power 6, pgs. 145-148 S-V Bldg. Strategies Math (1996 ed.), pgs. 81-84, 111 Math Power Series, pgs. 100-101, 104, 117 S-V Basic Essentials of Math 2, pg. 76 Top 50 Math, pgs.20-21 M.5.4.11 Add and subtract integers. Number Power 3, pgs. 12-17 Math Power Series, pgs. 29-31 Ach. TABE Success in Math – D, pgs. 73-76 Ach. TABE Success in Math – A, pgs. 70-71 M.5.4.12 Multiply and divide integers. Number Power 3, pgs. 18-23 Math Power Series, pgs. 64-76, 8 Ach. TABE Success in Math – D, pgs. 77-80 Ach. TABE Success in Math – A, pg. 72 M.5.4.13 Calculate square roots of perfect squares, estimate within range of square root value, and demonstrate an understanding of how squaring and taking the square root are related. Number Power 3, pgs. 32-37 Math Power Series, pgs. 114-117, 121-123 S-V Basic Essentials of Math 2, pgs. 100-102 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Page 8 Level 4 – Grade Level 6 - 8.9 ABE Math Verification Checklist with Materials Alignment Caldwell Community College and Technical Institute M.5.4 Algebra (cont.) Materials Alignment M.5.4 Algebra M.5.4.14 Evaluate, add, subtract, multiply, and divide expressions involving exponents. Number Power 3, pgs. 24-30 Math Power Series, pgs. 1-37 S-V Basic Essentials of Math 2, pgs. 100-101 M.5.4.15 Demonstrate an understanding of scientific notation. Number Power 3, pgs. 31 Math Power Series, pgs. 134-138 Contemporary GED Math, pg. 93, 127 M.5.4.16 Demonstrate an understanding of and solve basic algebraic equations involving multiple steps. Number Power 3, pgs. 68-77 S-V Basic Essentials of Math 2, pgs. 81-84 M.5.4.17 Translate word phrases into algebraic expressions and vice versa. Number Power 3, pgs. 42-46 Math Power Series, pgs. 29-31 Math Power Series, pgs. 107-109 Ach. TABE Success in Math – D, pgs. 103, 105 S-V Basic Essentials of Math 2, pg. 78 Ach. TABE Success in Math – A, pgs. 114-115, 117 M.5.4.18 Demonstrate an understanding of substituting values into simple formulas and solving for the unknown value. Number Power 3, pgs. 47-49 Number Power 6, pgs. 56-57 Math Power Series, pgs. 105-106 Ach. TABE Success in Math – D, pg. 104 S-V Basic Essentials of Math 2, pgs. 61-66, 71 M.5.4.19 Demonstrate understanding of the distributive property. Number Power 3, pgs. 78-83 Math Power Series, pgs. 102-103 Ach. TABE Success in Math – D, pgs. 100-101 Contemporary GED Math, pgs. 293-294 M.5.4.20 Read, write, order, and compare positive and negative numbers and identify positive and negative numbers on a number line. Number Power 3, pgs. 10-21 Math Power Series, pg. 96 S-V Basic Essentials of Math 2, pg. 77 Ach. TABE Success in Math – A, pgs. 68-71 M.5.4.21 Solve real-life, multistep word problems involving money, measurement, and other contextual situations using whole numbers, decimals, and percents. Threshold Math 1, pgs. 110-120 Math Power Series, pg. 141 Number Power 6 & 7 - Books includes various examples of whole numbers S-V Basic Essentials of Math 2, pg. 73 S-V Math Exercise Book, pgs. 22-24 M.5.4.22 Recognize and eliminate extraneous information in word problems. Number Power 6, pgs. 10-17, 156-161 Math Power Series, pgs. 61-62 Ach. TABE Success in Math – D, pg. 34 S-V Basic Essentials of Math 2, pg. 103 S-V Math Exercise Book, pgs. 19-21 ABE Math Level 4 Revised July 28, 2011 Benchmark Assessment Mastery Level % Date & Initials Page 9