6.N. 6.N.4 Review if Necess ary Read and write whole numbers to trillions Define and identify the identity and inverse properties of addition and multiplication Whole numbers *Exploring Math-p4 Inverse Operations workbook p. 6 *Skills Review Number Fact Families p. 687 Lesson. Whole Number Operations p. 5 Lesson. Whole Number Estimation p.. Resource Book: Includes Pre Lesson Activity Masters, Levels of Practice Pages, Study Guides, Real World Problem Solving pages, and Challenge Practices. Warm up Transparencies with Daily Homework Quiz. Special 4. Practice Book 5. Note-taking Guide 6. Tutor Place Cards 7. Classzone. com Quizzes + Chapter Tests from Chapter & 4. Unit Assessment (omit statistics question) 6.N. 6.N.4 6.N.5 Represent repeated multiplication in exponential form Represent exponential form as repeated multiplication Evaluate expressions having exponents where the power is an exponent of one, two, or three *Lesson. Powers and Exponents p. 6 6.N. Evaluate numerical expressions using order of operations (may include exponents of two and three) *Lesson.4 Order of Operations p. Page of Rondout Valley Central School District Last Updated July, 005
6.A. Use substitution to evaluate algebraic expressions (may include exponents of one, two and three) *Lesson.5 Variables and Expressions p. 9 6.A. 6.N.5 6.PS. 6.PS. Use substitution to evaluate algebraic expressions (may include exponents of one, two and three) Define and identify the zero property of multiplication *Lesson.6 Equations and Mental Math p. 4 *Lesson.7 A Problem Solving Plan - Verbal Model p. 4 Lesson. Place Value p. 07 Review if Necessary Place Value Ordering Decimals Rounding Decimals Lesson. Ordering Decimals p. 8 Lesson.4 Rounding Decimals p. 4 6.N. 6.A.6 Define and identify the commutative and associative properties of addition and multiplication *Lesson.6 Adding and Subtracting Decimals p. 6 *Lesson 4. Multiplying Decimals and Whole Numbers p. 5 Page of Rondout Valley Central School District Last Updated July, 005
6.N. Define and identify the distributive property of multiplication over addition *Lesson 4. The Distributive Property p. 59 Review if Necess ary 6.M.4 6.M.5 6.M.6 6.M.9 6.PS. 6.PS. 6.M.5 Multiplying Decimals Dividing Decimals Identify metric units of capacity (liter and milliliter) Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter) Determine the tool and technique to measure with an appropriate level of precision: capacity Determine personal references for capacity Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter) Lesson 4. Multiplying Decimals p. 64 Lesson 4.4 Dividing Decimals by Whole Numbers p. 69 Lesson 4.6 Dividing By Decimals p. 80 *Lesson 4.7 Activity p. 85 & 86 *Lesson 4.7 Mass and Capacity p. 87 *Lesson 4.8 Changing Metric Units p. 9 Page of Rondout Valley Central School District Last Updated July, 005
6.M.4 Identify metric units of capacity (liter and milliliter) *Table of Measures p. 7 Lesson 5. Prime Factorization p. 4 Lesson 5. Greatest Common Factor p. Review if Necess ary Prime Factorization GCF Equal Fractions LCM Ordering Fractions Mixed Number and Improper Fractions Lesson 5. Equivalent Fractions p. 8 Lesson 5.4 Least Common Multiple p. 5 Lesson 5.5 Ordering Fractions p. 9 Lesson 5.6 Mixed Numbers and Improper Fractions p. 44 Page 4 of Rondout Valley Central School District Last Updated July, 005
6.N.0 6.N. 6.N. Represent fractions as terminating or repeating decimals Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 00) Evaluate numerical expressions using order of operations (may include exponents of two and three) *Lesson 5.7 Changing Decimals to Fractions p. 49 *Lesson 5.8 Changing Fractions to Decimals p. 5 Quizzes & Chapter Tests from Chapters 6, 7 and Unit Assessment Review if Nec essa ry Common Denominators Lesson 6. Fractions with Common Denominators p. 7 6.N.6 6.N.8 6.PS. 6.PS. 6.PS.8 Add and subtract fractions with unlike denominators Add, subtract, multiply and divide mixed numbers with unlike denominators *Lessons 6. Fractions with Different Denominators p. 77 *Lesson 6.4 Adding and Subtracting Mixed Numbers p. 84 *Lesson 6.5 Subtracting Mixed Numbers by Renaming p. 90 Page 5 of Rondout Valley Central School District Last Updated July, 005
*Lesson 7. Multiplying Fractions and Whole Numbers p. 6.N.7 6.N.8 6.N.9 6.A.6 Multiply and divide fractions with unlike denominators. Add, subtract, multiply and divide mixed numbers with unlike denominators Identify the multiplicative inverse (reciprocal) of a number Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.) *Lesson 7. Multiplying Fractions p. 0 *Lesson 7. Multiplying Mixed Numbers p. 6 *Lesson 7.4 Dividing Fractions p. 4 *Lesson 7.5 Dividing Mixed Numbers p. 9 6.M. 6.M. 6.M.6 6.M.9 Identify customary units of capacity (cups, pints, quarts, and gallons) Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons) Determine the tool and technique to measure with an appropriate level of precision: capacity Determine personal references for capacity *Lesson 7.6 Weight and Capacity in Customary Units p. 44 *Table of Measures p. 7 Page 6 of Rondout Valley Central School District Last Updated July, 005
6.M. 6.PS.8 6.PS. Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons) *Lesson 7.7 Changing Customary Units p. 48 6.N. 6.N.4 6.N.5 6.PS. Define absolute value and determine the absolute value of rational numbers (including positive and negative) Locate rational numbers on a number line (including positive and negative) Order rational numbers (including positive and negative) *Lesson. Comparing Integers p. 5 *Lesson. Adding Integers p. 58 *Lesson. Subtracting Integers p. 544 6.N.6 6.N.7 6.N.8 6.N.9 6.N.0 6.A.5 6.PS.7 6.PS. Understand the concept of rate Express equivalent ratios as a proportion Distinguish the difference between rate and ratio Solve proportions using equivalent fractions Verify the proportionality using the product of the means equals the product of the extremes Solve simple proportions within context *Lesson 8. Ratios p. 74 *Lesson 8. Rates p. 79 *Lesson 8. Solving Proportions p. 8 Lesson 8.4 Proportions and Scale Drawings p. 88 Quizzes & Chapter Tests from Chapter 8 & 0. Unit Assessment (omit geometry questions.) Page 7 of Rondout Valley Central School District Last Updated July, 005
6.N. 6.N. Read, write, and identify percents of a whole (0% to 00%) Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 00) *Lesson 8.5 Understanding Percent p. 95 *Lesson 8.6 Percents, Decimals, and Fractions p. 99 6.N. 6.N.6 6.A.6 6.PS. 6.RP. Solve percent problems involving percent, rate, and base Estimate a percent of quantity (0% to 00%) Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.) *Lesson 8.7 Finding a Percent of a Number p. 404 *Course Lesson 9. Percents and Proportions p. 40-4 ex & 6.G. 6.G. 6.G. Calculate the length of corresponding sides of similar triangles, using proportional reasoning Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas Use a variety of strategies to find the area of regular and irregular polygons *Exploring Math p.9+94, Workbook p.09 *Course Lesson 0.6 Using Proportions with Similar Polygons p. 506-509 *Lesson. Perimeter and Area p. 6 Page 8 of Rondout Valley Central School District Last Updated July, 005
*Lesson 0. p. 475 6.G. 6.G. Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas Use a variety of strategies to find the area of regular and irregular polygons *Lesson 0. p. 480 *Course Lesson.5 Areas of Triangles and Trapezoids p. 558 + 559 6.G. 6.G.5 6.G.6 6.G.7 6.G.9 Use a variety of strategies to find the area of regular and irregular polygons Identify radius, diameter, chords and central angles of a circle Understand the relationship between the diameter and radius of a circle Determine the area and circumference of a circle, using the appropriate formula Understand the relationship between the circumference and the diameter of a circle *Exploring Math p48-49 *Course Lesson.6 Perimeter and Area p. 5 *Lesson 0. Circumference of a Circle p. 484 *Exploring Math p 80 *Lesson 0.4 Area of a Circle p. 49 Page 9 of Rondout Valley Central School District Last Updated July, 005
6.G.4 6.M. Determine the volume of rectangular prisms by counting cubes and develop the formula Measure capacity and calculate volume of a rectangular prism *Lesson 0.7 Volume of a Prism p. 50 6.G.0 6.G. Identify and plot points in all four quadrants Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths) Lesson.6 Translations in a Coordinate Plane p. 56 example Course Lesson 6.8 The Coordinate Plane p. 9 & 94 example 4 6.A. 6.A. 6.A.4 6.PS. Translate two-step verbal expressions into algebraic expressions Translate two-step verbal sentences into algebraic equations Solve and explain two-step equations involving whole numbers using inverse operations Lesson. Writing Expressions and Equations p. 58 Course Lesson 7. Writing Expressions and Equations p. 7-0 Lesson. Solving Addition Equations p. 587 Quizzes & Chapter Tests from Chapter, &. Unit 4 Assessment (add Unit assessment statistics questions) Page 0 of Rondout Valley Central School District Last Updated July, 005
4 6.S. 6.S. Develop the concept of sampling when collecting data from a population and decide the best method to collect data for a particular question Construct Venn diagrams to sort data Course Lesson. Mean, Median, and Mode p. 06-07 Course Lesson. Introduction to Probability p. 6 and Teachers Ed p. 6 See Margin 4 6.S. 6.S.4 6.S.5 6.S.6 6.S.7 Record data in a frequency table Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph) Determine the mean, mode and median for a given set of data Determine the range for a given set of data Read and interpret graphs Lesson.4 Frequency Tables and Line Plots p. 7 Lesson.5 Bar Graphs p. 79 Lesson.6 Coordinates and Line Graphs p. 8 Lesson.7 Circle Graphs p. 88 *Lesson.8 Mean, Median, Mode, Range p. 9 Page of Rondout Valley Central School District Last Updated July, 005
4 6.S. 6.S.9 6.S.0 6.PS.4 Record data in a frequency table List possible outcomes for compound events Determine the probability of dependent events Lesson. Introduction to Probability p. 69 Lesson. Finding Outcomes p. 66 Lesson. Probability of Independent Events p. 640 4 6.S.4 6.S.7 Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph) Read and interpret graphs Lesson.7 Choosing an Appropriate Data Display p. 66 (omit stem and leaf plot and box and whiskers) 4 6.S.9 6.S.0 6.S. List possible outcomes for compound events Determine the probability of dependent events Determine the number of possible outcomes for a compound event by using the fundamental counting principle and use this to determine the probabilities of events when the outcomes have equal probability Course Lesson. The Counting Principle p. 644-645 Course Lesson.6 Independent and Dependent Events p. 664-666 Page of Rondout Valley Central School District Last Updated July, 005