Mathematics Curriculum Map G/T Grade Level: 7 Title: Pre AP Number and Operations Time Frame: 10 Weeks Enduring Understanding: Mathematical ideas can be expressed using the language of mathematics. Essential Questions: 1. In what ways can mathematical ideas be expressed? 2. Why do we use variables in mathematics? Concept/Topic LANGUAGE Content/Standard 7-2.6 Translate between standard form and exponential form. Vocabulary Development base, exponent, squared, cubed, prime factorization Suggested Instructional Activities/ Extension Activities Assessment Strategies Monitor Student Progress Oral Questioning SC Test Prep Pgs. 11-12 Resources Concept Activity “Finding Rules of Exponents” SMART Board download Text Page 193 smarttech.com Worktext 1B Text Page 14 Pgs. 6-10 & 14-16 ADDITIONAL RESOURCES: 7-2.7 Translate between standard form and scientific notation. (large) scientific notation, exponential form, standard form Monitor Student Progress TeacherGenerated Quiz Oral Questioning SC Test Prep Pgs. 13-14 ADVANCED RESOURCES: “A Traveler’s Tale” SMART Board download Springboard MS II page 45 smarttech.com “Scientific Notation with a Calculator” Technology Lab Worktext 1D Text Page 209 Pages 14-16 Website Brainpop – “Standard & Scientific Notation” ADDITIONAL RESOURCES: ADVANCED RESOURCES: 533576794 8/2/10 300 South Catawba Street, Lancaster SC 29720 -1- Mathematics Curriculum Map G/T Concept/Topic Content/Standard 7-2.4 Understand the meaning of absolute value. Vocabulary Development absolute value 8-2.5 Apply the concept of absolute value. 7-2.8 Generate strategies to add, subtract, multiply, and divide integers. 8-2.1 Apply an algorithm to add, subtract, multiply, and divide integers. integer, positive, negative numerical expressions addititive inverse, opposite, difference, mean Suggested Instructional Activities/ Extension Activities Assessment Strategies Monitor Student Progress TeacherGenerated Quiz on 7-2.4, 7-2.6, 72.7 Oral Questioning SC Test Prep Pgs. 7-8 Monitor Student Progress TeacherGenerated quizzes on individual operations with integers Oral Questioning SC Test Prep 1516 Worktext 2A Pgs. 22-24 Brainpop – “It’s the Distance From Zero” Website website Text pg 39 Springboard MS II page 291 Website ADDITIONAL RESOURCES: ADVANCED RESOURCES: http://www.coolmath.com/prealgebra/06-order-ofoperations/index.html “Mean, Median, Mode, and Range” Melody’s Music Solution” Worktext 2B, 2C, 2D Algebraic Thinking Integer Chips lessons Brainpop – “Adding & Subtracting Integers” ADDITIONAL RESOURCES: ADVANCED RESOURCES: 533576794 8/2/10 300 South Catawba Street, Lancaster SC 29720 -2- Resources Mathematics Curriculum Map G/T Concept/Topic Content/Standard 7-2.10 Understand the inverse relationship between squaring and finding the square roots of perfect squares. Vocabulary Development inverse relationship Suggested Instructional Activities/ Extension Activities Assessment Strategies Monitor Student Progress Oral Questioning SC Test Prep 1920 Resources Text pages 550-553 Holt text Worktext 8C Pgs. 205-207 Brainpop – “Square Roots, No, Not From Robot Trees” Website ADDITIONAL RESOURCES: ADVANCED RESOURCES: 7-2.2 7-2.3 Represent the location of rational rational numbers and number, square roots of perfect square root, squares on a number perfect square line. Compare rational numbers, percentages, and square roots of perfect squares by using the symbols ≤, ≥, <, >, and =. square root, a number squared, perfect square integers negative positive Monitor Student Progress Oral Questioning SC Test Prep Pgs. 3-4 MS Activity Generator Text resource disc Worktext 2E, 8C Pgs. 37-40 & 205207 Monitor Student Progress TeacherGenerated Quiz on 7-2.10, 7-2.2, and 7-2.3 Oral Questioning SC Test Prep 5-6 http://www.mathplayground.com/prealgebra/04-signednumbers-integers/index.html Website Page 27 Textbook Worktext 2A, 2E, 5A, 5D, 8C Pgs. 22-24 & 3740 & 120-124 & 134-136 & 205207 Text Page 181 Common factor, GCF, relatively prime Brain Game “Common Factor Commotion” ADDITIONAL RESOURCES: Power exponent 533576794 8/2/10 ADVANCED RESOURCES: 300 South Catawba Street, Lancaster SC 29720 -3- Mathematics Curriculum Map G/T Concept/Topic Content/Standard 8-2-4 Compare rational and irrational numbers by using the symbols ≤, ≥, <, >, and =. 7-2.9 Apply an algorithm to multiply and divide fractions and decimals. 8-2.2 Understand the effect of multiplying and dividing a rational number by another rational number. Vocabulary Development Irrational number denominator, numerator, quotient, product, GCF, LCM, Reciprocal, Multiplicative Inverse, prime number, composite number, prime factorization, factor tree, monomial Suggested Instructional Activities/ Extension Activities Assessment Strategies Resources Monitor Student Progress TeacherGenerated Quiz Oral Questioning Brain Game “Presidential Proof” Monitor Student Progress TeacherGenerated Quizzes (one for decimals, and one for fractions) Oral Questioning SC Test Prep Pgs.17-18 Text pages 114-115 Textbook Worktext 3A-E NCTM Navigations Series, Chapter 2 Pgs. 46-48, 49 – 51, 52-55, 57-62, & 63 – 67 Text Page 236 Brain Game “Magic Square Concept Activity “Dividing Rational Numbers” Websites Holt text Brainpop – “Multiply & Divide Fractions” http://illuminations.nctm.org/ActifityDetail.aspx?ID=29 Text Page 475 ADDITIONAL RESOURCES: ADVANCED RESOURCES: 7-2.1 533576794 8/2/10 Understand fractional percent as per Monitor Student Text Pages 333-335, 340-341 300 South Catawba Street, Lancaster SC 29720 -4- Mathematics Curriculum Map G/T Concept/Topic Content/Standard percentages and percentages greater than one hundred. Vocabulary Development hundred and as a symbol 7-2.5 Apply ratios, rates, and proportions to discounts, taxes, tips, interest, unit costs, and similar shapes. 8-2.7 Apply rates ratios, and proportions 533576794 8/2/10 rate, ratio, discount, tax, tips, interest, unit cost, similar shapes cross product, proportion Suggested Instructional Activities/ Extension Activities Assessment Strategies Progress TeacherGenerated Quiz for 7-2.1 Oral Questioning SC Test Prep Pgs. 1-2 Monitor Student Progress TeacherGenerated Quiz on 7-2.5 Oral Questioning SC Test Prep Pgs. 9 percent of change, percent of increase, percent of decrease, mark up, discount, interest, principle, simple interest, annual interest rate, Worktext 5C, 5D Pgs. 130-133, 134-136 Textbook Resources NCTM Navigation Series Pgs. 73-77, 78-81, 82-88, 89-91, 9298, 108-114, 125129, 137-142, 143-147 Text Page 326F Text Page 351 Text Page 367 Text Page 367 ADDITIONAL RESOURCES: ADVANCED RESOURCES: MS Activity Generator “Proposing a Proportional Plan” (Numbers & Operations) NCTM Navigations Series, “Buying Pizza” Worktext 4A, 4B, 4C, 4D, 4E, 4H, 5B, 5E, 5F Research-Sales tax structures of each state (county sales tax, state sales tax, federal tax) “Using a Unit Rate to Solve Problems” (Numbers & Operations) Concept Activity “Modeling Percent of Change” Brain Game “Going Shopping” Technology activity Computing Compound Interest” 300 South Catawba Street, Lancaster SC 29720 -5- Resources Mathematics Curriculum Map G/T Concept/Topic Content/Standard Vocabulary Development Assessment Strategies Suggested Instructional Activities/ Extension Activities balance, compound interest Circle Graph Project ADDITIONAL RESOURCES: ADVANCED RESOURCES: 533576794 8/2/10 300 South Catawba Street, Lancaster SC 29720 -6- Resources