correlated to the south carolina high school credential … · measurements, money, time, and...

Correlated to the South Carolina High School Credential Courses:

Essentials of Math I, II, and III

TransMath Third Edition

September 2018

TransMath correlated to the South Carolina High School Credential Courses: Essentials of Math I

Essentials of Math I emphasizes basic mathematical concepts needed to compute real world algebraic problems that are aligned to the South Carolina College and Career-Ready Standards and the Profile of the South Carolina Graduate. This course will allow students to make sense of problems and persevere in solving them as well as connect mathematical ideas and real-world situations through modeling. Students will use a variety of mathematical tools effectively and strategically.

Standard Competency Goals TransMath Level 1 TransMath Level 2 TransMath Level 3

WHOLE NUMBERS, NUMBER THEORY, NUMERATION AND REAL WORLD MATH, ARITHMETIC AND CALCULATION

(N)

Standard 1: Interpret the meanings of coefficients, factors, terms, and expressions based on their real-world contexts. Interpret complicated expressions as being composed of simpler expressions.

Standard 2: Write a function that describes a relationship between two quantities. a. Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions. b. Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real-world situations.

1. Identify place value through 100,000 and decimals through .01.

Volume 1 Unit 1 Lesson 1 p. 8 Volume 1 Unit 1 Lesson 2 p. 17 Volume 2 Unit 8 Lesson 2 p. 846

Volume 2 Unit 5 Lesson 1 p. 494 Volume 2 Unit 5 Lesson 8 p. 553

2. Recognize, read and write numbers 0-100.


3. Read, write, and compare whole numbers.


4. Identify the place value of a digit in a number.


5. Compute with whole numbers to solve word problems.

Volume 1 Unit 1 p. 1 Volume 1 Unit 2 p. 125 Volume 1 Unit 3 p. 245 Volume 1 Unit 4 p. 375

6. Demonstrate understanding of greater than, less than, and equal concepts.

Volume 1 Unit 2 Lesson 1 p. 106 Volume 1 Unit 2 Lesson 1 p. 106 Volume 1 Unit 2 Lesson 2 p. 114 Volume 1 Unit 2 Lesson 3 p. 122 Volume 1 Unit 2 Lesson 3 (P-S) p. 128 Volume 1 Unit 2 Lesson 4 (P-S) p. 136


7. Count by multiples (Use patterns and sequences to establish concepts of patterns in math).


8. Identify prime and composite numbers.


9. Factor numbers. Volume 2 Unit 5 Lesson 3 p. 529 Volume 2 Unit 5 Lesson 4 p. 537 Volume 2 Unit 6 Lesson 1 p. 644 Volume 2 Unit 6 Lesson 2 p. 653

10. Find the least common multiple for pairs of numbers.


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11. Find the greatest common factor for pairs of numbers.

Volume 2 Unit 6 Lesson 3 p. 663 Volume 2 Unit 6 Lesson 4 p. 672 Volume 2 Unit 6 Lesson 5 p. 680 Volume 2 Unit 6 Lesson 6 p. 687

12. Distinguish between odd and even numbers.

Volume 2 Unit 6 Lesson 7 p. 695

13. Read and write whole numbers, fractions, decimals, and percent’s.



Volume 1 Unit 4 Lesson 1 (P-S) p. 433

14. Develop and use order relations for whole numbers, fractions, and decimals.

Volume 1 Unit 1 Lesson 10 p. 76 Volume 1 Unit 4 Lesson 3 (P-S) p. 403 Volume 2 Unit 8 Lesson 1 p. 836


15. Understand and apply the rules governing how the basic math operations relate to each other.

Volume 1 Unit 1 p. 1 Volume 1 Unit 2 p. 125 Volume 1 Unit 3 p. 245 Volume 1 Unit 4 p. 375 Volume 1 Unit 2 Lesson 1 p. 132 Volume 1 Unit 2 Lesson 11 p. 205 Volume 1 Unit 4 Lesson 1 p. 382

16. Apply mathematical skills to daily living activities in the household.

Volume 1 Unit 2 Lesson 9 (P-S) p. 194 Volume 1 Unit 2 Lesson 11 (P-S) p. 209 Volume 1 Unit 2 Lesson 12 (P-S) p. 217

17. Apply mathematical skills to entertainment and leisure activities.

Standard is addressed in Unit Opener for each unit. Volume 1 Unit 2 Unit Opener p. 125



18. Recognize symbols/signs used for basic arithmetic operations of subtraction, addition, multiplication, and division.


19. Demonstrate the knowledge of 4 basic arithmetic operations w/ whole numbers.





DECIMALS AND MONEY (DM)

Standard 1: Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. Standard 2: Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.

1. Identify names and values of coins and currency.

This is beyond the scope of the program.

2. Write money amounts in words and numbers.


3. Round money values to nearest dollar and dime.


4. Add and subtract money.


5. Find sums and differences with money.


6. Write numbers in word form and in standard notation.


7. Order numbers. Volume 2 Unit 5 Lesson 11 p. 580

8. Round decimals. Volume 2 Unit 5 Lesson 12 p. 588 Volume 2 Unit 5 Lesson 13 p. 597

9. Compute with decimals and whole numbers.


10. Express fractions as decimals.


11. Express numbers in scientific notation.


Volume 2 Unit 7 Unit Opener p. 761




PERCENTAGES (P)

Standard 1: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between two forms.

1. Rename a percent as a decimal and a fraction in simplest form.


2. Rename a decimal and a fraction as a percent.


3. Find the missing terms in a percent sentence.



4. Use a proportion to find the missing term in a percent sentence.

Volume 2 Unit 7 Lesson 4 p. 799 Volume 1 Unit 4 Lesson 1 (P-S) p. 433

5. Solve work problems involving percentages and tax, commissions, interest, and tips.


6. Calculate monthly payments on an installment plan.


MEASUREMENT – TIME, TEMPERATURE, LINEAR METRIC AND TRADITIONAL MEASUREMENT

(M)

Standard 1: Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.

Standard 2: Label and define appropriate quantities in descriptive modeling contexts.

Standard 3: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context.

1. Identify vocabulary associated w/time (noon, midnight, daylight savings time, am, and pm).

Volume 2 Unit 9 Lesson 2 (P-S) p. 985 Volume 2 Unit 9 Lesson 3 (P-S) p. 991

2. Tell and record time using digital and analog clocks.


3. Recognize and read times given using analog and digital clocks.


4. Write time using numerical notations.





5. Identify units of time (hr. = 60 min.; 24 hrs.=1 day; 12 months=1 yr.; 7 days=1 wk.; 52 wks.=1 yr.).


6. Locate day, date, and month on calendar.


7. Identify abbreviations for units of time (day, week, month, hour, minute, and year).


8. Relate daily, weekly, monthly events to clock and calendar.


9. Select and use appropriate units of measurement (linear and temperature: foot, yard, mile, degree Fahrenheit or Centigrade).

Volume 2 Unit 9 Lesson 1 (P-S) p. 976 Volume 2 Unit 9 Lesson 2 (P-S) p. 985 Volume 2 Unit 9 Lesson 3 (P-S) p. 991 Volume 2 Unit 9 Lesson 6 (P-S) p. 1016

10. Select and use appropriate tools for measurement.


11. Students will solve 1 and 2-step math applications involving 4 basic arithmetic processes, measurements, money, time, and temperature, using problem-solving techniques.

Found throughout TransMath. Volumes 1 and 2: Developing Number Sense

Found throughout TransMath. Volumes 1 and 2: Making Sense of Rational Numbers

Found throughout TransMath. Volumes 1 and 2: Algebra: Expressions, Equations, and Functions

12. Measure line segments to the nearest tenth of a centimeter (nearest millimeter).


13. Estimate accurately the best unit for measuring a distance.





14. Change from one metric unit to another.


15. Find area measured in square units.

Volume 2 Unit 5 Lesson 1 (P-S) p. 519 Volume 2 Unit 5 Lesson 2 (P-S) p. 522 Volume 2 Unit 5 Lesson 3 (P-S) p. 533 Volume 2 Unit 5 Lesson 4 (P-S) p. 542 Volume 2 Unit 5 Lesson 6 (P-S) p. 558 Volume 2 Unit 5 Lesson 8 (P-S) p. 575 Volume 2 Unit 5 Lesson 9 (P-S) p. 578 Volume 2 Unit 5 Lesson 11 (P-S) p. 598 Volume 2 Unit 5 Lesson 12 (P-S) p. 606 Volume 2 Unit 5 Lesson 13 (P-S) p. 614

Volume 2 Unit 6 Lesson 1 (P-S) p. 644 Volume 2 Unit 6 Lesson 2 (P-S) p. 653 Volume 2 Unit 6 Lesson 4 (P-S) p. 662 Volume 2 Unit 6 Lesson 5 (P-S) p. 668 Volume 2 Unit 6 Lesson 6 (P-S) p. 682 Volume 2 Unit 6 Lesson 10 (P-S) p. 706 Volume 2 Unit 6 Lesson 11 (P-S) p. 720

16. Find volume measured in cubic units.

Volume 2 Unit 6 Lesson 1 (P-S) p. 651 Volume 2 Unit 6 Lesson 2 (P-S) p. 655 Volume 2 Unit 6 Lesson 3 (P-S) p. 671 Volume 2 Unit 6 Lesson 6 (P-S) p. 693 Volume 2 Unit 6 Lesson 8 (P-S) p. 711 Volume 2 Unit 6 Lesson 9 (P-S) p. 716

17. Find volume, or capacity, measured in liters.


18. Convert units of liquid capacity.


19. Convert units of weight.


20. Use a ruler to help measure line segments.


21. Convert units of length and distance.





22. Find the perimeter of a given shape.


23. Calculate the area within a shape.



24. Compute the volume within a prism.


FRACTIONS (F)

Standard 1: Rewrite expressions involving simple radicals and rational exponents in different forms. Standard 2: Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.

1. Recognize fractional parts and equivalent fractions.


Volume 1 Unit 2 Lesson 7 (P-S) p. 164 Volume 1 Unit 2 Lesson 8 p. 168


2. Compare and order fractions.


3. Add and subtract fractions w/like denominators.


4. Multiply and divide fractions.

Volume 1 Unit 3 Lesson 1 p. 254 Volume 1 Unit 3 Lesson 2 p. 264 Volume 1 Unit 3 Lesson 3 p. 271 Volume 1 Unit 3 Lesson 4 p. 279 Volume 1 Unit 3 Lesson 7 p. 306 Volume 1 Unit 3 Lesson 8 p. 316 Volume 1 Unit 3 Lesson 9 p. 326 Volume 1 Unit 3 Lesson 9 (P-S) p. 331 Volume 1 Unit 3 Lesson 10 p. 334 Volume 1 Unit 3 Lesson 11 p. 341 Volume 1 Unit 3 Lesson 11 (P-S) p. 346





5. Simplify fractions. Volume 1 Unit 3 Lesson 5 p. 287 Volume 1 Unit 3 Lesson 7 p. 306 Volume 1 Unit 4 Lesson 4 p. 427


6. Compare fractions and determine which is more than or less than.


7. Rename mixed numbers and improper fractions.


8. Compute with fractions and mixed numbers.

Volume 2 Unit 8 p. 829 Volume 2 Unit 9 p. 963


Volume 1 Unit 1 p. 1


TransMath correlated to the South Carolina High School Credential Courses: Essentials of Math II

Essential of Math II emphasizes basic mathematical concepts needed to compute real world algebraic problems that are aligned to the South Carolina College and Career-Ready Standards and the Profile of the South Carolina Graduate. This course will allow students to identify and utilize structure and patterns as well as communicate mathematically and approach mathematical situations with precision utilizing mathematical tools effectively.


BASIC ALGEBRA (BA)

Standard 1: Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; exponential with integer exponents.)Standard 2: Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.Standard 3: Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.Standard 4: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.Standard 5: Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables.(Note: a and b are not Graduation Standards.)a. Solve systems of linear equations using the substitution method.b. Solve systems of linear equations using linear combination.

1. Apply algebraic properties to solve problems.

Volume 2 Unit 7 Lesson 9 p. 805 Volume 2 Unit 5 Lesson 14 (P-S) p. 612 Volume 2 Unit 6 p. 635 Volume 2 Unit 6 Lesson 5 p. 685 Volume 2 Unit 6 Lesson 7 p. 702 Volume 2 Unit 8 Lesson 8 p. 927 Volume 2 Unit 8 Lesson 9 p. 937 Volume 2 Unit 8 Lesson 11 p. 953 Volume 2 Unit 10 Lesson 5 p. 1194

2. Understand patterns and relationships.

Volume 2 Unit 5 Lesson 11 (P-S) p. 598 Volume 2 Unit 5 Lesson 14 (P-S) p. 621 Volume 2 Unit 6 p. 637 Volume 2 Unit 7 p. 735 Volume 2 Unit 7 Lesson 3 p. 759 Volume 2 Unit 7 Lesson 4 p. 766

Volume 1 Unit 2 Lesson 1 (P-S) p. 109 Volume 2 Unit 9 Lesson 9 p. 1061

Volume 1 Unit 2 Lesson 1 (P-S) p. 175 Volume 1 Unit 2 Lesson 2 p. 180 Volume 1 Unit 2 Lesson 2 (P-S) p. 186 Volume 1 Unit 4 p. 421 Volume 1 Unit 4 Lesson 1 p. 428 Volume 1 Unit 4 Lesson 3 p. 447 Volume 1 Unit 4 Lesson 4 p. 459 Volume 1 Unit 4 Lesson 5 p. 470 Volume 1 Unit 4 Lesson 6 p. 479 Volume 1 Unit 4 Lesson 7 p. 488 Volume 1 Unit 4 Lesson 8 p. 497 Volume 1 Unit 4 Lesson 9 p. 507

3. Understand the concepts of variables, expressions, equations, and/or inequalities.

Volume 1 Unit 2 p. 163 Volume 1 Unit 3 p. 317 Volume 2 Unit 5 p. 533 Volume 2 Unit 6 p. 635 Volume 2 Unit 7 p. 743 Volume 2 Unit 8 p. 855

4. Add, subtract, and multiply polynomials.


5. Create and solve equations.

Volume 2 Unit 7 p. 743 Volume 2 Unit 8 p. 855

6. Understand how to factor simple equations.





Standard 6: Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases.Standard 7: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or more generally as a polynomial function.Standard 8: Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations.Standard 9: Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.Standard 10: Write a function that describes a relationship between two quantities. (Note: a. is not a Graduation Standard.)a. Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.b. Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real-world situations.

7. Add/Subtract/Multiply/Divide positive and negative integers.

Volume 2 Unit 8 p. 855 Volume 2 Unit 8 Lesson 5 p. 894 Volume 2 Unit 8 Lesson 6 p. 903 Volume 2 Unit 8 Lesson 7 p. 912 Volume 2 Unit 8 Lesson 8 p. 918 Volume 2 Unit 8 Lesson 9 p. 927 Volume 2 Unit 8 Lesson 13 p. 958 Volume 2 Unit 8 Lesson 14 p. 966 Volume 2 Unit 9 p. 991 Volume 2 Unit 9 Lesson 1 p. 998 Volume 2 Unit 9 Lesson 2 p. 1008 Volume 2 Unit 9 Lesson 4 p. 1025 Volume 2 Unit 9 Lesson 6 p. 1042 Volume 2 Unit 9 Lesson 9 p. 1061

8. Understand how to work with exponents and square roots.

Volume 2 Unit 7 Lesson 2 p. 751 Volume 2 Unit 7 Lesson 3 p. 759 Volume 2 Unit 7 Lesson 4 p. 766 Volume 2 Unit 6 Lesson 8 p. 705 Volume 2 Unit 6 Lesson 9 p. 713


9. Plot points on a coordinate plane.



10. Graph linear equations on a coordinate plane activities in the household.

Volume 2 Unit 9 Lesson 6 (P-S) p. 1056 Volume 2 Unit 9 Lesson 7 (P-S) p. 1066 Volume 2 Unit 9 Lesson 11 p. 1097

11. Apply mathematical skills to entertainment and leisure activities.




12. Recognize symbols/signs used for basic arithmetic operations of subtraction, addition, multiplication, and division.


13. Demonstrate the knowledge of 4 basic arithmetic operations w/ whole numbers.





BASIC CALCULATOR SKILLS FOR ALGEBRA

(BC)

A mathematically literate student can: Use a variety of mathematical tools effectively and strategically. a. Select and use appropriate tools when solving a mathematical problem. b. Use technological tools and other external mathematical resources to explore and deepen understanding of concepts.

1. Use calculator to solve real world word problems.

Calculator use is found throughout TtransMath. Volume 1 Unit 1 Lesson 11 p. 89

2. Use calculator to solve real world decimal problems.


3. Use calculator to solve real world fraction and mixed number problems.


4. Use calculator to solve algebraic math problems.



TransMath correlated to the South Carolina High School Credential Courses: Essentials of Math III

Essentials of Math III emphasize the mathematical concepts needed to compute real world algebraic and geometric problems that are aligned to the South Carolina College and Career-Ready Standards and the Profile of the South Carolina Graduate. This course will allow students to identify and utilize structure and pattern as well as communicate mathematically and approach mathematical situations with precision utilizing mathematical tools effectively.


ONE STEP MATHEMATICAL OPERATIONS : QUANTITY, MONEY, TIME MEASUREMENT, FRACTION, DECIMALS, NEGATIVE NUMBERS

(OS)

Standard 1: Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. (Limit to linear; quadratic.)

Standard 2: Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.

1. Add, subtract, multiply, and divide using whole numbers.


2. Add and subtract using positive and negative numbers.

Volume 2 Unit 8 p. 855 Volume 2 Unit 8 Lesson 5 p. 894 Volume 2 Unit 8 Lesson 6 p. 903 Volume 2 Unit 8 Lesson 7 p. 912 Volume 2 Unit 8 Lesson 8 p. 918 Volume 2 Unit 8 Lesson 9 p. 927 Volume 2 Unit 8 Lesson 13 p. 958 Volume 2 Unit 8 Lesson 14 p. 966

3. Change a quantity from one form to another using whole numbers, fractions, decimals, and percentages.

Volume 2 Unit 5 Lesson 3 p. 512 Volume 2 Unit 5 Lesson 4 p. 521 Volume 2 Unit 5 Lesson 7 p. 544 Volume 2 Unit 5 Lesson 9 p. 562 Volume 2 Unit 5 Lesson 14 p. 605 Volume 2 Unit 7 Lesson 2 p. 779 Volume 2 Unit 7 Lesson 5 p. 809

4. Solve simple one step word problems in a systematic manner.

Volume 1 Unit 1 Lesson 1 (P-S) p. 14 Volume 1 Unit 1 Lesson 2 (P-S) p. 22 Volume 1 Unit 1 Lesson 3 (P-S) p. 30 Volume 1 Unit 2 Lesson 7 (P-S) p. 181 Volume 1 Unit 2 Lesson 8 (P-S) p. 188 Volume 1 Unit 2 Lesson 14 (P-S) p. 231 Volume 1 Unit 4 Lesson 4 (P-S) p. 410 Volume 1 Unit 4 Lesson 6 (P-S) p. 426 Volume 1 Unit 4 Lesson 9 (P-S) p. 449 Volume 1 Unit 4 Lesson 13 (P-S) p. 481 Volume 1 Unit 4 Lesson 14 (P-S) p. 489 Volume 2 Unit 9 Lesson 9 (P-S) p. 1035

Volume 1 Unit 2 Lesson 6 (P-S) p. 155 Volume 1 Unit 2 Lesson 8 (P-S) p. 175 Volume 1 Unit 2 Lesson 9 (P-S) p. 185 Volume 1 Unit 2 Lesson 12 (P-S) p. 211 Volume 1 Unit 2 Lesson 13 (P-S) p. 220 Volume 1 Unit 2 Lesson 14 (P-S) p. 228 Volume 1 Unit 3 Lesson 3 (P-S) p. 276 Volume 1 Unit 3 Lesson 9 (P-S) p. 331 Volume 1 Unit 3 Lesson 11 (P-S) p. 346 Volume 1 Unit 4 Lesson 1 (P-S) p. 402 Volume 1 Unit 4 Lesson 2 (P-S) p. 412 Volume 1 Unit 4 Lesson 9 (P-S) p. 471

Volume 1 Unit 2 Lesson 3 (P-S) p. 197 Volume 1 Unit 2 Lesson 6 (P-S) p. 221 Volume 1 Unit 2 Lesson 14 p. 292 Volume 1 Unit 3 Lesson 4 (P-S) p. 358 Volume 1 Unit 3 Lesson 9 (P-S) p. 403 Volume 2 Unit 8 Lesson 1 (P-S) p. 869 Volume 2 Unit 8 Lesson 2 (P-S) p. 878 Volume 2 Unit 8 Lesson 3 (P-S) p. 887 Volume 2 Unit 8 Lesson 11 (P-S) p. 957 Volume 2 Unit 8 Lesson 13 (P-S) p. 975

5. Demonstrate a mastery of measurement using a ruler and tape measure.






MULTIPLE STEP PROBLEMS (REORDER INFORMATION): MONEY, TIME, FRACTIONS, DECIMALS, PERCENTAGES, MEASUREMENT, AVERAGES, PROPORTIONS, GRAPHS AND DIAGRAMS

(MS)

Standard 1: Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)

Standard 2: Analyze decisions and strategies using probability concepts.

1. Reorder information and eliminate information to solve problems.


2. Calculate one-step conversion.


3. One or two mathematical operations; addition, subtraction, multiplication or division on positive or negative numbers.

Volume 2 Unit 9 Lesson 1 p. 998 Volume 2 Unit 9 Lesson 2 p. 1008 Volume 2 Unit 9 Lesson 4 p. 1025 Volume 2 Unit 9 Lesson 6 p. 1042 Volume 2 Unit 9 Lesson 9 p. 1061

4. Calculate averages, simple ratios, proportions and rates using whole numbers and decimals.


Volume 1 Unit 1 Lesson 1 (P-S) p. 14 Volume 1 Unit 1 Lesson 3 (P-S) p. 33 Volume 1 Unit 2 Lesson 3 p. 192 Volume 1 Unit 2 Lesson 3 (P-S) p. 197 Volume 1 Unit 2 Lesson 4 (P-S) p. 206 Volume 1 Unit 2 Lesson 5 (P-S) p. 221 Volume 1 Unit 2 Lesson 12 (P-S) p. 278 Volume 1 Unit 2 Lesson 13 (P-S) p. 286 Volume 1 Unit 2 Lesson 14 (P-S) p. 297 Volume 1 Unit 3 Lesson 1 (P-S) p. 331 Volume 1 Unit 3 Lesson 2 (P-S) p. 342 Volume 1 Unit 3 Lesson 4 (P-S) p. 358 Volume 1 Unit 3 Lesson 6 (P-S) p. 373




5. Add simple fractions, decimals or percentages.




6. Read and draw simple graphs and diagrams.

Volume 1 Unit 1 Lesson 4 (P-S) p. 36 Volume 1 Unit 1 Lesson 5 (P-S) p. 40 Volume 1 Unit 1 Lesson 6 (P-S) p. 50 Volume 1 Unit 1 Lesson 8 (P-S) p. 65 Volume 1 Unit 1 Lesson 9 (P-S) p. 73 Volume 1 Unit 1 Lesson 11 (P-S) p. 91 Volume 1 Unit 1 Lesson 12 (P-S) p. 98 Volume 1 Unit 1 Lesson 13 (P-S) p. 104 Volume 1 Unit 1 Lesson 14 (P-S) p. 107 Volume 1 Unit 2 Lesson 4 (P-S) p. 158 Volume 1 Unit 2 Lesson 6 (P-S) p. 173 Volume 2 Unit 9 Lesson 7 (P-S) p. 1023 Volume 2 Unit 9 Lesson 8 (P-S) p. 1032

Volume 2 Unit 8 Lesson 1 (P-S) p. 866 Volume 2 Unit 8 Lesson 3 (P-S) p. 882 Volume 2 Unit 8 Lesson 4 (P-S) p. 889 Volume 2 Unit 8 Lesson 6 (P-S) p. 908 Volume 2 Unit 8 Lesson 8 (P-S) p. 923 Volume 2 Unit 8 Lesson 10 (P-S) p. 933 Volume 2 Unit 8 Lesson 11 (P-S) p. 943 Volume 2 Unit 8 Lesson 12 (P-S) p. 952 Volume 2 Unit 9 Lesson 1 (P-S) p. 1004 Volume 2 Unit 9 Lesson 2 (P-S) p. 1014 Volume 2 Unit 9 Lesson 3 (P-S) p. 1018


MULTIPLE STEP PROBLEMS (EXTRANEOUS INFORMATION): FRACTIONS, DECIMALS, PERCENTAGES, MEASUREMENT, PERIMETER, AREA, PRODUCTION RATES, BEST DEALS

(EI) 1. Separate the important facts from the information.

Found throughout TransMath. Volume 1 Unit 1 Lesson 1 (P-S) p. 14 Volume 1 Unit 1 Lesson 2 (P-S) p. 22 Volume 1 Unit 1 Lesson 3 (P-S) p. 30

Standard 1: Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines. Standard 2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

Standard 3: Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.

2. Look up formulas and use them to perform one step conversions.


3. Calculate using mixed units.





4. Calculate perimeter and areas.

Volume 2 Unit 5 Lesson 1 (P-S) p. 519 Volume 2 Unit 5 Lesson 2 (P-S) p. 522 Volume 2 Unit 5 Lesson 3 (P-S) p. 533 Volume 2 Unit 5 Lesson 4 (P-S) p. 542 Volume 2 Unit 5 Lesson 6 (P-S) p. 558 Volume 2 Unit 5 Lesson 7 (P-S) p. 568 Volume 2 Unit 5 Lesson 8 (P-S) p. 575 Volume 2 Unit 5 Lesson 9 (P-S) p. 578 Volume 2 Unit 5 Lesson 11 (P-S) p. 598 Volume 2 Unit 5 Lesson 12 (P-S) p. 606 Volume 2 Unit 5 Lesson 13 (P-S) p. 614


5. Calculate percentage discounts or markups.

Volume 1 Unit 4 Lesson 1 (P-S) p. 433 Volume 1 Unit 4 Lesson 2 (P-S) p. 441 Volume 1 Unit 4 Lesson 3 (P-S) p. 453 Volume 1 Unit 4 Lesson 4 (P-S) p. 464 Volume 1 Unit 4 Lesson 6 (P-S) p. 484 Volume 1 Unit 4 Lesson 7 (P-S) p. 492 Volume 1 Unit 4 Lesson 8 (P-S) p. 502 Volume 1 Unit 4 Lesson 9 (P-S) p. 511

6. Complete a balance sheet or order form.


7. Calculate the best deal using one or two step calculations to compare costs.





PROBLEM SOLVING: MULTIPLE STEPS, FRACTIONS, DECIMALS, PERCENTAGES, AREA & VOLUME, RATE PROBLEMS, BEST DEALS

(PS)

Standard 1: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Standard 2: Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines. Standard 3: Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.

1. Solve complicated multiple step problems.




2. Calculate using negative numbers, fractions, ratios, percentages, and mixed numbers.

Volume 2 Unit 9 p. 963 Volume 1 Unit 2 p. 99 Volume 1 Unit 3 p. 247 Volume 1 Unit 4 p. 389 Volume 2 Unit 7 p. 761 Volume 2 Unit 8 p. 855 Volume 2 Unit 9 p. 991

Volume I Unit 1 p. 1 Volume 1 Unit 2 (P-S) p. 163 Volume 1 Unit 3 (P-S) p. 317 Volume 1 Unit 4 (P-S) p. 421

3. Calculate multiple rates.



4. Compare ratios or use them to perform other calculations.

Volume I Unit 2 Lesson 3 p. 192 Volume I Unit 2 Lesson 3 (P-S) p. 197 Volume 1 Unit 2 Lesson 13 p. 283

5. Find areas and volumes of rectangles.



6. Calculate the best deal using the result in another problem.


7. Find mistakes in calculations.


Volume 1 Unit 3 Lesso 14 p. 368 Volume 2 Unit 8 Lesson 4 (P-S) p. 893




REASONING SKILLS (CAREFUL READING): MULTIPLE STEPS, VOLUME AND AREA, RATIOS AND PROPORTIONS, BEST DEALS, TROUBLESHOOTING, UNKNOWN

(RS)

Standard 1: Explain the derivations of the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone. Apply these formulas to solve mathematical and real-world problems.

Standard 2: Apply surface area and volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems and justify results. Include problems that involve algebraic expressions, composite figures, geometric probability, and real-world applications.

1. Do several steps of reasoning and multiple calculations.




2. Solve problems involving more than one unknown.


3. Calculate the percentage of change.

Volume 1 Unit 4 Lesson 1 (P-S) p. 433 Volume 1 Unit 4 Lesson 2 (P-S) p. 441 Volume 1 Unit 4 Lesson 3 (P-S) p. 453 Volume 1 Unit 4 Lesson 4 (P-S) p. 464 Volume 1 Unit 4 Lesson 6 (P-S) p. 484 Volume 1 Unit 4 Lesson 7 (P-S) p. 492 Volume 1 Unit 4 Lesson 8 (P-S) p. 502 Volume 1 Unit 4 Lesson 9 (P-S) p. 511

4. Calculate multiple areas and volumes of sphere, cylinders, and cones.


5. Set up and manipulate complex ratios and proportions.

Volume I Unit 2 Lesson 3 p. 192 Volume I Unit 2 Lesson 3 (P-S) p. 197 Volume 1 Unit 2 Lesson 4 (P-S) p. 206 Volume 1 Unit 2 Lesson 5 (P-S) p. 221 Volume 1 Unit 2 Lesson 12 (P-S) p. 278 Volume 1 Unit 2 Lesson 13 p. 283 Volume 1 Unit 2 Lesson 13 (P-S) p. 286 Volume 1 Unit 2 Lesson 14 (P-S) p. 297

6. Determine the best economic value of several alternatives.


7. Find mistakes in multiple step calculations.


Volume 1 Unit 3 Lesson 14 p. 368 Volume 2 Unit 8 Lesson 4 (P-S) p. 893


correlated to the south carolina high school credential … · measurements, money, time, and...

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