Math Concepts Learning Plan 1 1. Whole Numbers _______________ Overview Title 1. Whole Numbers Developer(s) David Woolpert and Wendy Arena Date 6/1/2000 Purpose _______________ Target Learning Outcomes Target Competency 1. Perform calculations using whole numbers Performance Standards Competence will be demonstrated: o with 70% proficiency level on timed and untimed tests Criteria - Performance will be satisfactory when: o learner solves applied problems related to real-life situations o learner can solve all problems using a calculator where appropriate o learner can add whole numbers o learner can subtract whole numbers o learner can multiply whole numbers o learner can divide whole numbers o learner can round whole numbers o learner can translate numbers from standard form to expanded and/or exponential form Learning Objectives This learning plan addresses the following learning objectives to help you master the competency: a. Identify the place value of a digit within a whole number b. Write whole numbers in words c. Perform basic addition & subtraction facts without a calculator d. Add/subtract by rounding the number to be added/subtracted, then adjusting the result without a calculator e. Add by looking for "easy combinations" (those that add to 10, 100, etc) without a calculator f. Use calculator to add a list of numbers g. Perform basic multiplication facts without a calculator h. Compute multiplication problems that include factors of 3 digits or less without a calculator i. Compute multiplication problems that include factors greater that 3 digits with a calculator j. Multiply by powers of ten without a calculator k. Identify dividend, divisor and quotient in a division problem l. Perform basic division facts without a calculator m. Perform division by zero without a calculator n. Compute long division problems with problems involving divisors of less that 4 digits without a calculator o. Apply the "area" formula for a rectangle using whole numbers p. Apply the "distance = rate x time" formula using whole numbers q. Apply "profit = income - cost" formula using whole numbers r. Apply "miles per gallon = miles driven / gallons of gas used" formula using whole numbers s. Apply "miles per gallon x gallons of gas = miles possible" formula using whole numbers t. Write an expression for a series of factors (expanded form) using exponential notation without a calculator u. Write the meaning of an exponential expression in expanded form without a calculator v. Compute positive, whole number exponents when base and exponent are small without a calculator w. Use exponent key on calculator to compute positive, whole number exponents when either base or exponent are large x. Perform zero as an exponent without a calculator y. Perform zero as a base without a calculator z. Apply the Order of Operations aa. Apply rounding rules to a specified place value without a calculator ab. Use rounding to estimate the result of addition, subtraction, multiplication and division problems without a calculator

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Learning Activities

_____1. Read Chapter 1 in Basic College Mathematics textbook and complete exercises. See homework assignment sheets for weeks one and two. (Chapter 1) _____2. Read "Student's Math Anxiety Bill of Rights" worksheet. _____3. Read "Ten Ways to Reduce Math Anxiety" worksheet. _____4. Apply principles mental math by completing the "Look for the 10's" worksheet and Power Point presentation. _____5. Identify the divisor, dividend and quotient of an equation using the "Divisor, Dividend, Quotient" worksheet. _____6. Apply principles of estimating by doing the "Reasonable Answers" worksheet. _____7. Apply principles of estimating by doing the "Estimation" worksheet. _____8. View Power Point presentation on "Division by Zero". _____9. View Power Point presentation on "Estimation". _____10. View Power Point presentation and worksheet on mental math. _____11. View Power Point presentation on imnumeracy. _____12. View Power Point presentation on "Round, Add and Adjust".

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Assessment Activities

_____1. Complete "No Calculator Quiz A" (used as a practice quiz) _____2. Complete "No Calculator Quiz B". _____3. Complete Chapter 1 Exam- Speed Test (no calculator) _____4. Complete Chapter 1 Exam- Untimed Test (calulator may be used)

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Math Concepts Learning Plan 2 2. Fractions

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Overview

Title 2. Fractions Developer(s) David Woolpert and Wendy Arena Date 6/1/2000

Purpose

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Target Learning Outcomes

Target Competency 1. Perform calculations using fractions Performance Standards Competence will be demonstrated: o acheives 70% level on timed and untimed test o completing homework assignments which apply real-life situations Criteria - Performance will be satisfactory when: o learner solves applied problems related to real-life situations o learner can solve all problems using a calculator where appropriate o learner can add fractions o learner can subtract fractions o learner can multiply fractions o learner can divide fractions Learning Objectives This learning plan addresses the following learning objectives to help you master the competency: a. Identify the numerator and/or denominator of a fraction b. Draw pictures to identify fractions c. Write fractions that represent drawings d. Apply divisibility rules to determine if a given number is evenly divisible by 2,3,4,5,6 or 10 without a calculator e. Use a calculator to determine if one number is evenly divisible by another f. Reduce fractions by finding a number that divides evenly into both numerator and denominator (calculator may be used) g. Identify / list prime numbers less than 42 without a calculator h. Determine the unique factorization of a whole number (calculator may be used) i. Factor a number to primes (calculator may be used) j. Reduce fractions by factoring both numerator and denominator, and canceling matching factors without a calculator k. Write a mixed number as an improper fraction without a calculator l. Write an improper fraction as a mixed number without a calculator m. Multiply fractions without a calculator n. Apply divisibility rules and canceling of common factors prior to multiplication of fractions without a calculator o. multiply mixed and/or whole numbers without a calculator p. Compute the reciprocal of a fraction, mixed number or whole number without a calculator q. Divide fractions without a calculator r. Divide mixed and/or whole numbers without a calculator s. Add / subtract fractions that have a common denominator without a calculator t. Determine a LCD for two fractions by recognizing that one denominator is a multiple of the other without a calculator u. Determine a LCD for two fractions by recognizing that one denominator is a prime number and multiplying the two denominators to obtain the LCD v. Determine a LCD for two fractions using a list of multiples w. Determine a LCD for two fractions by factoring each denominator and using these factors to build a LCD x. Add / subtract fractions with unlike denominators without a calculator y. Add mixed numbers without a calculator z. Subtract mixed numbers when borrowing is not required without a calculator aa. Subtract mixed numbers when borrowing is required without a calculator

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Learning Activities

_____1. Read Chapter 2 in the Basic College Mathematics textbook and complete exercises. See assignment sheet for Chapter 2. _____2. Complete "Jimmy's Pet Store" worksheet _____3. Read "Divisibility Rules" worksheet _____4. Read "Adding/Subtracting Fractions" flowchart and view Power Point presentation. _____5. Complete the "Selecting an Appropriate Model" worksheet _____6. Complete the "Adding and Subtracting Fractions Review" worksheet. _____7. Complete "Cooking With Fractions" assignment. _____8. Complete "Factoring" worksheet.

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Assessment Activities

_____1. Complete Chapter 2 Quiz A (calculator may be used) _____2. Complete Chapter 2 Exam (calculator may be used)

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Math Concepts Learning Plan 3 3. Decimals

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Overview

Title 3. Decimals Developer(s) David Woolpert and Wendy Arena Date 6/1/2000

Purpose

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Target Learning Outcomes

Target Competency 1. Perform calculations using decimals Performance Standards Competence will be demonstrated: o achieves 70% level on timed and untimed test o completing homework assignments which apply real-life situation Criteria - Performance will be satisfactory when: