NJCCCS Addressed 4.5B1;4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5C6; 4.1B4; 4.1B5; 4.2C1; 4.2E2; 4.3A1; 4.4A2;4.5E1; 4.5E2;4.5F1; 4.5F5; 4.1B2; 4.1B4; 4.1B5; 4.1B6; 4.3A1; 4.3B1; 4.4C1; 4.5E2; 4.1B2; 4.1B4; 4.1B5; 4.3A1; 4.4C1; 4.4D1; 4.5B1; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5F1; 4.1A5; 4.1B4; 4.1B5; 4.4C1; 4.5A2; 4.5B1; 4.5B2; 4.5B3; 4.5B4; 4.5C1; 4.5C2; 4.5D2; 4.5D3;4.5D4;4.5D5; 4.5E1; 4.5E2; 4.5F1; 4.5F3; 4.5F4; 4.5F5; 4.1A5; 4.1B4; 4.1B5; 4.1C3; 4.4C1;4.5A1; 4.5A3; 4.5A5; 4.5B1; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5E2; 4.1A3, 4.1A5; 4.1B1; 4.1B4; 4.1B5; 4.1B6; 4.2E2; 4.3A1; 4.3B1; 4.3C1; 4.5A2; 4.5A4; 4.5E1; 4.5E2; 4.5E3; 4.5F1; 4.5F3; 4.5F4; 4.5F5; 4.1A5; 4.1B1; 4.1B4; 4.1B5; 4.4D1; 4.5A1; 4.5A2; 4.5A4; 4.5A5; 4.5E1; 4.5E3; 4.1A1, 4.1A6; 4.1B4; 4.1B5;4.1C1; 4.1C2; 4.1C3; 4.1C4; 4.2D4; 4.2E4; 4.3A1; 4.3C2; Scope and Sequence - Objectives Unit 1 Number Theory Lesson 1.1: Acquaint students with the Student Reference Book and Math Journal Lesson 1.2: Review rectangular arrays for multiplication Lesson 1.3: Review meanings of factor and product; find factor pairs; assess and develop instant recall of multiplication facts Lesson 1.4: Find factors; review divisibility; relate factors and divisibility Lesson 1.5: Test for divisibility Lesson 1.6: Classify whole numbers as prime or composite numbers Lesson 1.7: Represent square numbers as square arrays and as numbers written with exponents Lesson 1.8: Finding square roots of square numbers Lesson 1.9: Review name collection boxes for numbers; introduce factor strings; represent numbers as products of prime factors Lesson 1.10: Review and assess Unit 1 skills and concepts Unit 2 Estimation and Calculation 13 days Lesson 2.1: Devise an estimation strategy to solve a problem for which finding an exact answer is impossible Page 1 of 10 1/20/2005
4.5A2; 4.5A3; 4.5A4; 4.5A5; 4.5B1; 4.5B4; 4.5C3; 4.5C4;4.5D1; 4.5E1; 4.5E2; 4.1A5; 4.1B1; 4.1B6; 4.3B1; 4.5A2; 4.5A4; 4.5A5; 4.5B3; 4.5D2; 4.5D3;4.5D6; 4.1B1; 4.1B2; 4.1B4; 4.1B5; 4.1B6; 4.3B1; 4.4C1; 4.4D1; 4.5A1; 4.5A2; 4.5A4; 4.5A5; 4.5B1; 4.5B2; 4.5B3; 4.5D2; 4.5D3; 4.5D6; 4.1A5; 4.1B4; 4.1B5; 4.3A1; 4.3C1; 4.5A1; 4.5A2; 4.5B1; 4.1B1; 4.1C3; 4.3A1; 4.4A1; 4.4A2; 4.4B2; 4.4B3; 4.5A3; 4.5A5; 4.5B3; 4.5D2; 4.5D3; 4.5D5; 4.5E1; 4.5E2; 4.5F1; 4.5F4; 4.4A1; 4.4A2; 4.4A3; 4.4B1; 4.4B2; 4.5D2; 4.5D3; 4.5D5; 4.5E1: 4.1A3; 4.1A6; 4.1B2; 4.1B4; 4.1B5; 4.1C1; 4.1C3; 4.3C1; 4.3D1; 4.5A2; 4.5A4; 4.5D1; 4.1A3; 4.1B1; 4.1B6; 4.3A1; 4.3B1; 4.3C1; 4.3C2; 4.3D1; 4.4C2; 4.5A1; 4.5A2; 4.5D2; 4.5D3; 4.5D6; 4.5E1; 4.5F1; 4.5F5; 4.1B2; 4.1B4; 4.1B5; 4.5A1; 4.5A4; 4.5A5; 4.5D2; 4.5D3; 4.5E1; 4.5E3; 4.1A3; 4.1A6; 4.1B2; 4.1C1; 4.5B1; 4.5B2; 4.5B3; 4.5B4; 4.5C3; 4.5C4; 4.5D1; 4.5E1: 4.1B6; 4.3B1; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5C6; 4.1B1; 4.2D4; 4.3C2; 4.4A1; 4.4A2; 4.4B2; 4.4C1; 4.4C2; 4.5A1; 4.5A2; 4.5A3; 4.5C1; 4.5E1; 4.5E3; 4.1B1; 4.1B2; 4.1C1; 4.1C2; 4.1C4; 4.4A1; Lesson 2.2: Review place value concepts for whole numbers and decimals; add using the partial-sums and column- addition methods Lesson 2.3: Subtract multidigit whole numbers and decimals using the trad-first and partialdifference methods Lesson 2.4: Review a guide for solving number stories and concepts about number sentences; use open sentences as aids in solving number stories Lesson 2.5: Review statistical landmarks for sets of data; estimate reaction tgimes; use statistical landmarks to describe experimental data Lesson 2.6: Review and apply vocabulary associated with chance events; introduce the Probability Meter Poster; estimate the probability of an event Lesson 2.7: Make magnitude estimates for products of multidigit numbers, including decimals Lesson 2.8: use the partial-products method to multiply multidigit whole numbers; introduce products of decimals Lesson 2.9 Review and practice the lattice method for multiplication of whole numbers and decimals Lesson 2.10 Understand the relative sizes of 1 million, 1 billion, and 1 trillion and to make an informed estimate from a sample of experimental data Lesson 2.11: Review and assess Unit 2 skills and concepts Unit 3 Geometry Explorations and the American Tour 12 days Lesson 3.1: Introduc3 the American Tour; learn about the U.S. Census and conduct a classroom census; use the Probability Meter Lessons 3.2: Read and interpret a table of population estimates Page 2 of 10 1/20/2005
4.4A2; 4.4A3; 4.4B1; 4.4B3; 4.1B4; 4.1B5; 4.2A1;4.2D1; 4.2D4; 4.5A1; 4.5D2; 4.2A1; 4.2D1; 4.2E!; 4.3C2; 4.4A1; 4.4A2; 4.5A1; 4.5A3; 4.5B1; 4.5B3; 4.5B4; 4.5C2; 4.5E1; 4.5E2; 4.5F1; 4.5F4; 4.5F5; 4.1C1; 4.2A1; 4.2B2; 4.2D1; 4.2D4; 4.5A2; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5C6; 4.5E2; 4.1C1; 4.2A3; 4.2A4; 4.2B1; 4.5A2; 4.5E2; 4.5F1; 4.5F4; 4.5F5; 4.1A5; 4.1A6; 4.1B4; 4.1B5; 4.1C1; 4.1C3; 4.2A2; 4.2A3; 4.2A4; 4.5A4; 4.5C1; 4.5D2; 4.2A2; 4.2B1; 4.2B2; 4.5B1; 4.5B4; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5E1: 4.1B1; 4.2A2; 4.2D1; 4.2D4; 4.3B2; 4.4A1; 4.4A2; 4.2A1; 4.2A3; 4.2A4; 4.2B2; 4.5A1; 4.5A2; 4.5A4; 4.5A5; 4.5D3; 4.5D6; 4.5E1; 4.5E3; 4.2A2; 4.1A1, 4.1A5; 4.1B2; 4.1B3; 4.1B4; 4.1B5; 4.1B6; 4.1C3; 4.2A1; 4.2E3; 4.3B1; 4.3C2; 4.4C1; 4.5C1;4.5C4 4.1A3; 4.1A6; 4.1B2; 4.1B3; 4.1B4; 4.1B5; 4.1B6; 4.3B1; 4.5B2; 4.5B3; 4.5B4; 4.5C1; 4.5C2; 4.5D2; 4.5D3; 4.5E1; 4.5F1; 4.1B1; 4.2A1; 4.2D4; 4.2E!; 4.2E4; 4.4A1; 4.5A2; 4.5A3; 4.5B4; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5D1; 4.5D2; 4.5E1; 4.5E2; 4.5E3; 4.1A3, 4.1A5; 4.1A6; 4.1B4;4.1B2; 4.1B3; Lesson 3.3: Find the degree measures of angles using relationships between angles and circles Lesson 3.4: Review types of angles; introduce the Geometry Template; measure and draw angles Lesson 3.5: Use a compass to draw a circle and copy a line segment; measure and investigate angles formed by intersecting lines Lesson 3.6: define equilateral, isosceles, scalene, and congruent triangles; copy triangles Lesson 3.7: Classify and sort geometric shapes Lesson 3.8: Introduce tessellations; discover which regular polygons tessellate and which do not Lesson 3.9: Find the sum of the measures of the angles in any polygon Lesson 3.10 Use the Geometry Template for problem solving and reviewing polygon attributes and vocabulary Lesson 3.11: Assessment of Unit 3 concepts and skills Unit 4 Division Lesson 4.1: Review division facts and extended division facts; mentally divide 2-digit numbers by 1-digit numbers Lesson 4.2: Review and practice the partial-quotient division algorithm for dividing a whole number by a whole number Lesson 4.3: Estimate distances using a map scale Lesson 4.4: Make magnitude estimates for quotients; use the partial-quotients division Page 3 of 10 1/20/2005
4.1B6; 4.1C1; 4.3B1; 4.5A2; 4.5A4; 4.5A5; 4.5B1; 4.5D1; 4.5D3; 4.5E1; 4.5F4; 4.1A3, 4.1A5; 4.1A6; 4.1B2; 4.1B4; 4.1B5; 4.3A1; 4.3C1; 4.5A1; 4.5A2; 4.5A4; 4.5B1; 4.5B3; 4.5B4; 4.5D1; 4.5D2; 4.5D3; 4.5E1; 4.5E3; 4.5F1; 4.1A5; 4.1A6; 4.3D1;4.3A1;;4.3C1; 4.3C2; 4.4D1; 4.5A2; 4.5A4; 4.5C3; 4.5C4; 4.5C6; 4.1B6; 4.3B1; 4.4C1; 4.4D1; 4.1A1; 4.1B1; 4.2A1; 4.5A2; 4.5A3; 4.5A4; 4.5A5; 4.5B1; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5E1; 4.5F4; 4.5F5; 4.1B2; 4.1B4; 4.1B5; 4.2D2; 4.2D4; 4.2E3; 4.2E4; 4.4A2; 4.5B1; 4.5B4; 4.5C2; 4.5E1; 4.5F1; 4.1A4; 4.1A6; 4.5A1; 4.5A2; 4.5A4; 4.5E1; 4.5F1; 4.5F5; 4.1A4; 4.1B4; 4.1B5; 4.2E3; 4.2E4; 4.5A3; 4.5C1; 4.5C2; 4.5E1; 4.5F4; 4.1A2; 4.1B2; 4.4D1; 4.5C1; 4.5C2; 4.5E2; 4.5F4; 4.1A1, 4.1A4; 4.1A6; 4.4B2; 4.5A2; 4.5B4; 4.5C1; 4.5C2; 4.5C6; 4.5E1; 4.5E2; 4.5F1; 4.5F4; 4.5F5; 4.1A2, 4.1A4; 4.1B2; 4.2D2;4.1B4; 4.1B5; 4.3C2; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5E1; 4.5E2; 4.5F1; 4.5F5; 4.1A2; 4.1B1; 4.1B2; 4.1B4; 4.1B5; 4.4A1; 4.5A3; 4.5E1; 4.5E2; 4.5F1; 4.5F3; 4.5F5; algorithm to divide decimals by whole numbers Lesson 4.5: Solve division number stories and interpret remainders within the context of the stories Lesson 4.6: Investigate using a variable to represent a range of values; review a variety of mathematical skills Lesson 4.7: Assessment of Unit 4 skills and concepts Unit 5 Fractions, Decimals, and Percents Lesson 5.1: Review fractions; find fractional parts of large whole numbers Lesson 5.2: Review the whole, or ONE; explore mixed-number concepts; convert between mixed numbers and improper fractions Lesson 5.3: Compare and order fractions; review equivalent fractions; explore fraction addition Lesson 5.4: Use fraction sticks to find equivalent fractions; formulate multiplication and division rules for finding equivalent fractions Lesson 5.5: Rename simple fractions or decimals; review rounding decimals; find decimals between pairs of numbers Lesson 5.6: Use a Fraction-Stick Chart; rename easy fractions as decimals; begin a table of decimal equivalents for fractions Lesson 5.7: Use a calculator to find decimal equivalents for fractions Lesson 5.8: Use a calculator to convert fractions to decimals and decimals to percents; discuss meanings and uses of percents Page 4 of 10 1/20/2005
4.1B2; 4.2D2; 4.2D4; 4.3A1; 4.4A1; 4.4A3; 4.4B1; 4.4B3; 4.5B1; 4.5B4; 4.5C2; 4.5C3; 4.5C4; 4.5E1; 4.5E2; 4.5F1; 4.5F4; 4.5F5; 4.2D4; 4.3A1; 4.3C1; 4.4A1; 4.4B3; 4.5E1: 4.1A2, 4.1A4;4.1B5; 4.2D4; 4.3C1; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5E2; 4.3B2; 4.4A1; 4.4A2; 4.5C1; 4.5D2; 4.5D3; 4.5D6; 4.5F1; 4.5F2; 4.5F3; 4.1A6; 4.2D2; 4.2D3; 4.2D4; 4.2E4; 4.4A2; 4.4D1; 4.2E!; 4.2E4; 4.4A3; 4.4B1; 4.4B3; 4.4D1; 4.5B1; 4.5B4; 4.5C1; 4.5C2; 4.5D2; 4.5D3; 4.5E1; 4.5F2; 4.5F3; 4.1A2; 4.1A6; 4.2D4; 4.3B2; 4.4D1; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5D5; 4.1A6; 4.4B3; 4.4D1; 4.5C1; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5D5; 4.5F2; 4.5F3; 4.1B1; 4.1B2; 4.1C3; 4.2D4; 4.4A1; 4.5A2; 4.5A4; 4.5A5; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5C6; 4.5E1; 4.5E3; 4.5F2; 4.5F3; 4.1C3; 4.4B3; 4.4C2; 4.5A2; 4.5A4; 4.5A5; 4.5B1; 4.5B4; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.5E1; 4.5E3; 4.5F1; 4.5F4; 4.5F5; 4.1C1; 4.1C2; 4.2D4; 4.3A1; 4.3C1; 4.5A2; 4.5A4; 4.5F1; 4.5F4; 4.5A2; 4.5A4; 4.5E14.5E2; 4.5F1; 4.5F4; Lesson 5.9: Construct and label bar graphs; discuss properties of circle graphs Lesson 5.10: Use the Percent Circle to find the percents of circle graphs Lesson 5.11: Construct circle graphs with the Percent Circle Lesson 5.12: Interpret information from the American Tour; read about mathematics instruction and solve related historical problems Lesson 5.13: Assessment of Unit 5 Concepts and Skills Unit 6: Using Data; Addition and Subtraction of Fractions Lesson 6.1: Review methods for organizing data; describe prominent features of a data set Lesson 6.2: Use metric and U.S. customary units of length; measure the human body; begin investigating whether a game is a fair game Lesson 6.3: Use stem-and-leaf plots to organize data; measure lengths in metric units; use a protractor Lesson 6.4: Interpret data in line plots and stem-and-leaf plots Lesson 6.5: Investigate the relationship between sample size and reliability of predictions Lesson 6.6: Display and analyze data from a repeated experiment and from a survey of students Lesson 6.7: Read and use contour maps Lesson 6.8: Add and subtract fractions using a slide rule; review equivalent fractions Lesson 6.9: Use a clock face to add and subtract fractions; investigate adding and subtracting Page 5 of 10 1/20/2005
4.5F5; fractions with unlike denominators 4.1B2; 4.1B4; 4.1B5; 4.4A1; 4.4A2; 4.5A2; Lesson 6.10: Find common denominators quickly; use common denominators to compare, add, 4.5E1; 4.5F3; 4.5F4; and subtract fractions Lesson 6.11: Assessment of Unit 6 Skills and Concepts Unit 7 Exponents and Negative Numbers 4.3A1; 4.5A3; 4.5C1; 4.5C2; 4.5C3; 4.5C4; Lesson 7.1: Introduce exponential notation 4.5D6; 4.5F1; 4.5F5; 4.1A2, 4.1A3; 4.3A1; 4.3C2; 4.3D1; 4.5C1; Lesson 7.2: Introduce number and word notation for large numbers; use exponential notation 4.5D2; 4.5D3; 4.5E2; for positive powers of 10 4.1A2, 4.1A3; 4.1B2; 4.5C3; 4.5C4; 4.5D2; Lesson 7.3: Introduce scientific notation for large numbers 4.5D3; 4.5D4;4.5D5; 4.5D6; 4.5F1; 4.5F5; 4.1A2; 4.3C1; 4.5A2; 4.5B1; 4.5B4; 4.5C1; Lesson 7.4: Review the use of parentheses; practice translating number stories into arithmetic 4.5C2; 4.5D2; 4.5D3; 4.5E1; 4.5E3; expressions 4.3C1; 4.5B1; 4.5B4; 4.5C1; 4.5C2; 4.5D3; Lesson 7.5: Introduce the rules for order of operations 4.5E1: 4.3C2 Lesson 7.6: Review uses of negative numbers; compare and order positive and negative numbers 4.1C3; 4.5A2; 4.5A4; 4.5A5; 4.5C3; 4.5C4; Lesson 7.7: Develop rules for adding positive and negative numbers 4.5D3; 4.5E1; 4.5E2; 4.5F1; 4.5F3; 4.4A1; 4.5D2; 4.5D3; 4.5E1; 4.5F1; Lesson 7.8: Develop a rule for subtracting positive and negative numbers 4.1B4; 4.1B5; 4.2A1; 4.3A1; 4.3C1; 4.3D1; Lesson 7.9: Use a slide rule to add and subtract positive and negative numbers; model addition 4.5A2; 4.5E1; 4.5F3; 4.5F4; and subtraction by walking on a number line 4.5A2; 4.5A4; 4.5F1; 4.5F5; Lesson 7.10: Add and subtract positive and negative numbers using a calculator Lesson 7.11: Assessment of Unit 7 Concepts and Skills Unit 8 Fractions and Ratios 4.1A6; 4.2A3; 4.2A4; 4.5A2; 4.5E1; 4.5F4; Lesson 8.1: Review renaming fractions as equivalent fractions; compare fractions by using a common denominator 4.1A6; 4.1B1; 4.1B2; 4.2E3; 4.5A2; 4.5A4; Lesson 8.2: Review adding fractions; introduce addition of mixed numbers 4.5A5; 4.5E1: 4.5B1; 4.5B3; 4.5B4; 4.5C1; 4.5C2; 4.5C3; Lesson 8.3: Introduce subtraction of mixed numbers with like denominators Page 6 of 10 1/20/2005
4.5C4; 4.5D2; 4.5D3; 4.5E1; 4.5E3; 4.1C1; 4.1C2; 4.1C4; 4.5A1; 4.5A2; 4.5A4; 4.5F1; 4.5F5; 4.1B2; 4.5D3; 4.5E1: 4.1B1; 4.3C2; 4.5A2; 4.5A3; 4.5A4; 4.5B4; 4.5E1; 4.5F1; 4.1B1; 4.3A1; 4.5A2; 4.5C1;4.5D4; 4.5D6; 4.1A2; 4.1A6; 4.1C1; 4.3A1; 4.3D1; 4.5A3; 4.5B1; 4.5B2; 4.5B4; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5C6; 4.5D2; 4.5E1; 4.5E3; 4.5F4; 4.3C1; 4.3C2; 4.5B1; 4.5B2; 4.5B4; 4.5D2; 4.5E1: 4.1A6; 4.1C1; 4.1C4; 4.4B3; 4.5B1; 4.5B4; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5C6;4.5D4; 4.5E1; 4.5E2; 4.1A6; 4.1B4; 4.1B5; 4.3C1; 4.5C1; 4.5D3; 4.1C2; 4.2D2; 4.2D4; 4.3A1; 4.3C2; 4.5C3; 4.5C4;4.5D4; 4.5E2; 4.2C1; 4.2D4; 4.2E3; 4.2E4; 4.3A1; 4.3C2; 4.3D1; 4.2A1; 4.2A3; 4.2A4; 4.2C1; 4.2E3; 4.3C2 4.2E3; 4.5B4; 4.5C3; 4.5C4; 4.5E2; 4.5F4; 4.2D2; 4.2D4; 4.2E4; 4.5C1; 4.5C2; 4.5C3; Lesson 8.4: Explore using a calculator to solve fraction problems; practice adding fractions with unlike denominators Lesson 8.5: Model finding a fraction of a fraction by folding paper Lesson 8.6: Use an area model to show fraction multiplication; develop a fraction multiplication algorithm Lesson 8.7: Use an area model and the fraction algorithm to find the product of a whole number and a fraction Lesson 8.8: Introduce two algorithms for multiplication with mixed numbers by using partial products and by converting mixed numbers to fractions Lesson 8.9: Estimate and calculate the percent of a number using fractions and decimals; calculate discounts Lesson 8.10: Practice finding the WHOLE given a fraction or a percent of the WHOLE Lesson 8.11: Examine populations using maps and charts; use percents to estimate rural and urban populations Lesson 8.12: Introduce a common denominator method for division of fractions Lesson 8.13: Assessment of Unit 8 Concepts and Skills Unit 9 Coordinates, Area, Volume, and Capacity Lesson 9.1: Review coordinate grids, ordered number pairs, and coordinates; use a coordinate grid Lesson 9.2: Plot and read ordered number pairs, transform ordered number pairs, and explore transformations of figures in a plane Lesson 9.3: Plot and read ordered number pairs, transform ordered number pairs, and explore transformation of figures in a plane Lesson 9.4: Review area concepts and units of area; discuss and use the formula for the area of a rectangle Lesson 9.5: Identify personal references for common units of area; explore the rectangle Page 7 of 10 1/20/2005
4.5C4; 4.2C1; 4.2D4; 4.2E3; 4.2E4; 4.3C1; 4.3D1; 4.1B1; 4.1C1; 4.1C2; 4.1C3; 4.1C4; 4.2C1; 4.4A1; 4.4B3; 4.5A4; 4.5A5; 4.5B1; 4.5B4; 4.5C1; 4.5C2; 4.5C3; 4.5C6; 4.5E2; 4.2C1; 4.2D4; 4.2E3; 4.1B4; 4.1B5; 4.2C1; 4.2D4; 4.2E3; 4.2E4; 4.3C1; 4.5B1; 4.2D2; 4.2D4; 4.2E3; 4.3A1; 4.5A2; 4.5C2; 4.5C3; 4.5D2; 4.5D3;4.5D5; 4.5E1; 4.5F1; 4.5F4; 4.5F5; 4.3A1; 4.5A2; 4.5E1; 4.5F4; 4.3A1; 4.3D1; 4.5B1; 4.5B4; 4.5C2; 4.5D3; 4.5E2; 4.5F3; 4.1B1; 4.2D2; 4.2E3; 4.3C2; 4.4A1; 4.5A2; 4.5A3; 4.5A4; 4.5C1; 4.5C2; 4.5D3; 4.5E1; 4.5E3; 4.2C1; 4.3A1; 4.3C2; 4.3D1; 4.4A1; 4.4A3; 4.4B1; 4.4B3; 4.5C1; 4.5C2; 4.5C3; 4.5C4; 4.5D2; 4.5D3; 4.1B4; 4.2D2; 4.2D4; 4.2E4; 4.3A1; 4.3C2; 4.4A2; 4.5C1; 4.5C3; 4.5C4; 4.5D2; 4.5D3;4.5D5; 4.3A1; 4.3C2; 4.4A1; 4.5B1; 4.5B4; 4.5C2; 4.1B1; 4.2D4; 4.5A1; 4.5A2; 4.5A3; 4.5A5; 4.5B1; 4.5B4; 4.5C4; 4.5E1; 4.5E2; 4.5F1; 4.5F4; method for finding areas of polygons Lesson 9.6: Develop and use formulas for the area of a triangle and the area of a parallelogram Lesson 9.7: Use sampling to estimate the percent of Earth s surface covered by water; estimate the land area of the school Lesson 9.8: Develop and use a formula for the volume of a rectangular prism Lesson 9.9: Calculate the volume of any prism by multiplying the area of its base by its height Lesson 9.10: Examine the relationships among the liter, milliliter, and cubic centimeter Lesson 9.11: Assessment of Unit 9 Concepts and Skills Unit 10 Algebra Concepts and Skills Lesson 10.1: Introduce a pan-balance approach for solving simple equations Lesson 10.2: Extend a pan-balance approach for solving equations to problems with two balances Lesson 10.3: Translate word descriptions into algebraic expressions; extend the What s My Rule? routine to rules with algebraic expressions Lesson 10.4: Review the concept of rates; represent rates with formulas, tables, and graphs Lesson 10.5: Use a formula to predict the time of Old Faithful s next eruption; draw a graph of predicted eruption times Lesson 10.6: Use a table and graph to solve and interpret a problem based on a real-world situation Lesson 10.7: interpret line graphs; match mystery graphs to real-life situations Lesson 10.8: Relate the circumference to the diameter of a circle; find an approximate value for pi by measuring round objects of various sizes Page 8 of 10 1/20/2005
4.1A6; 4.1C3; 4.2E3; 4.5A2; 4.5A3; 4.5A4; 4.5A5; 4.2A3; 4.2A4; 4.2E3; 4.2D4; 4.2E3; 4.2D4; 4.2E3; 4.2D2; 4.2D4; 4.2D4; 4.2E3; 4.4A1; 4.5C3; 4.5D6; 4.2E4; 4.5C3; 4.5C4; 4.5E1; 4.5F4; 4.1B1; 4.4A1; 4.5A2; 4.4B3; 4.5C1; 4.5C2; 4.5C4; 4.5E1; 4.5F4; Lesson 10.9: Measure the area of a circle by counting squares; use a formula to calculate the area of a circle Lesson 10.10: Assessment of Unit 10 Concepts and Skills Unit 11 Volume Lesson 11.1: Review the names and properties of geometric solids Lesson 11.2: Review the meaning of bases of geometric solids; compare the properties of prisms, pyramids, cylinders, and cones Lesson 11.3: Verify that the volume formula for prisms also applies to cylinders; use the formula to solve volume problems for prisms and cylinders Lesson 11.4: Explore the relationship between the volume of prisms and pyramids and between the volume of cylinders and cones Lesson 11.5: Find the volume of an irregular object by submerging it in water and measuring the volume of water it displaces Lesson 11.6: Review equivalencies among units of capacity; convert measurements among units of weight, capacity, and volume in cubic units Lesson 11.7: Calculate the surface area of prisms, cylinders, and pyramids Lesson 11.8: Assessment of Unit 11 Concepts and Skills Unit 12 Probability, Ratios, and Rates Lesson 12.1: Use a factor tree to find the prime factors of a number; find the greatest common factor and the least common multiple of two numbers Lesson 12.2: Find the number of ways in which a sequence of choices can be made; use tree diagrams; find probabilities in equally likely situation Lesson 12.3: Explore the uses of ratios and ways of expressing ratios Lesson 12.4: Model and solve problems involving ratios of part of a set to the whole set Lesson 12.5: Write and solve number models for ratio number stories Lesson 12.6: Find students heart rates Lesson 12.7: Find heart rates after increasingly strenuous exercise; graph personal and class heart-rate data Lesson 12.8: Examine how the heart pumps blood throughout the body; calculate cardiac output at rest and compare it with cardiac output after exercising Page 9 of 10 1/20/2005
4.4A2; 4.5B1; 4.5B4; 4.5E1: 4.1B2;4.4C1;4.5C34.5C5;4.5D2;4.5D3;4.5F1 4.4A1;4.4B3;4.4B4 4.2D4;4.2E3;4.5D3 4.4A1;4.4B3;4.5C3;4.5D2;4.5D3;4.5D5;4.5D6 Lesson 12.9: Plan and execute a mathematical project based on data in the American Tour Lesson 12.10: Assessment of Unit 11 Concepts and Skills Project 3: Examine an ancient Egyptian multiplication algorithm Project 5: Research and plan how to spend a million dollars Project 6: Calculate the area of the playing field or surface for a variety of sports Project 8: Investigate whether the length of a pendulum, the length of the arc, and/or the amount of weight at the end affects the duration of one complete swing of the pendulum Page 10 of 10 1/20/2005