1205020 M/J Mathematics 1, Advanced Adopted Text: Math Connects Plus, Glencoe Revised June 2011 See www.floridastandards.org for New Benchmark information Preparing our Students for the Common Core State Standards Please note the additional instructional methodologies that are required to be used in Chapter 9 & 10 Useful websites for grade 6: http://www.floridastandards.org http://education.ti.com www.hotmath.com www.shodor.org/interactivate/lessons/ http://illuminations.nctm.org 1 Course Name __MJ Mathematics 1 Advanced _1205020___ Semester 1 Course Overview 2010-2011 QUARTER 1 Week (Page 4) Topic QUARTER 2 (Page 8) Date Completed Wee k Date Completed Topic 1 - Ratio and Rates: Chapter 4 Start Smart Chapter 0 2 - Ratio and Rates: Chapter 4 - Start Smart Chapter 0 3 - Ratio and Rates: Chapter 4 4 - Multiply and Divide Decimals: Chapter 1 4 - Fractions, Decimals, and Percents: Chapter 5 5 - Multiply and Divide Decimals: Chapter 1 5 - Fractions, Decimals, and Percents: Chapter 5 6 - 6 - Multiply and Divide Fractions: Chapter 2 Fractions, Decimals, and Percents: Chapter 5 7 - Algebraic Expressions: Chapter 6 8 - Algebraic Expressions: Chapter 6 9 - Review and preparation for Midterms 10 - Midterms 1 - Organize, review, assess 2 - 3 7 8 9 - Multiply and Divide Fractions: Chapter 2 - Data Analysis: Chapter 3 - Data Analysis: Chapter 3 2 Course Name __ MJ Mathematics 1 Advanced _1205020_______ Semester 2 Course Overview 20010-2011 QUARTER 3 Week (Page 11) Topic Date Completed 2 - NGSSS Review FCAT Preparation 3 - FCAT Functions and Inequalities: Chapter 8 4 - Measurement: Volume and Surface Area: Chapter 10 Functions and Inequalities: Chapter 8 5 - Measurement: Volume and Surface Area: Chapter 10 6 - Integers: Chapter 11 7 - Operations with Rational Numbers: Chapter 12 8 - Operations with Rational Numbers: Chapter 12 9 - Preparation for Final 10 - Final/Cumulative Assessment 2 - Solve Equations: Chapter 7 3 - Solve Equations: Chapter 7 - 6 - Functions and Inequalities: Chapter 8 7 - Use Formulas in Geometry: Chapter 9 8 9 - - Date Completed NGSSS Review FCAT Preparation Solve Equations: Chapter 7 5 Topic - - - Week (Page 14) 1 1 4 QUARTER 4 Use Formulas in Geometry: Chapter 9 Use Formulas in Geometry: Chapter 9 3 QUARTER 1 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s T Teacher Reflections Chapter 0-1: A Plan for Problem Solving -Can students use the four step plan to solve problems? Textbook: MA.5.A.1.4 MA.5.A.2.2 Approximation Associative Property Estimate Unlike fractions Like fractions Mixed numbers Equivalent fractions Equality Numerator Denominator Least common multiple LCD Sum Difference Divisor Dividend Quotient Product Order of operations Simplest form Whole number Round Divisibility 3600,3302,1 Chapter 0-3: Add and Subtract Fractions with Like Denominators -Can students add and subtract fractions with like denominators? Week 1 -3 Chapter 0: Start Smart Chapter 0-2: Add and Subtract Decimals -Can students add and subtract decimals? Chapter 0-4: Add and Subtract Fractions with Unlike Denominators -Can students add and subtract fractions with unlike denominators? Simplify and check results? Chapter 0-5: Add and Subtract Mixed Numbers -Can students add and subtract mixed numbers? Pre-test: Resource Masters pg. 1 Chapter 0: 0-1, 0-2, 0-3, 0-4, 0-5 (pg 8-23) Technology: http://connected.mcgraw-hill.com/ Student Works Plus-online edition/CD Websites: www.myskillstutor.com *Basic – Computation – Addition of Decimals *Basic – Computation –Subtraction of Decimals *Basic – Computation – Addition of Fractions *Basic – Computation – Subtraction of Fractions *Basic – Computation – Addition of Mixed Numerals *Basic – Computation – Subtraction of Mixed Numerals *Basic – Computation- Problem solving: Swim Like a Fish 66306,1671 0,16749 www.neufeldmath.com *Understanding Math Plus-Understanding Fractions-#14 Adding and Subtracting Fractions 4 Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 1-1: Multiply and Divide Decimals -What kind of result do you expect when you multiply or divide a whole number by a decimal? -How is multiplying a decimal by a decimal different than multiplying a decimal by a whole number? How is it similar? Textbook: Chapter 1 Pg: 24-83 1-1, 1-2, 1-3 MA.6.A.1.1 MA.6.A.1.2 MA.6.A.1.3 MA.6.A.5.3 Compatible numbers Decimal Factor Powers Power of 10 Product Repeating decimal Terminating decimal ,14608,1460 9,14611,378 1,3631,1045 9,79946,174 32,3781,363 1,34434,345 82 Chapter 1-2: Divide Decimals -How can you use multiplication patterns to solve division problems? Weeks 4-5 Chapter 1: Multiply and Divide Decimals Week Chapter 1-3: Powers of 10 -How is the placement of the decimal point affected when multiplying and dividing by powers of 10? Chapter at a Glance: pg 24B Technology: Get Connected www.connected.mcgraw-hill.com/ -Lesson Animation -Graphic Novel -Personal Tutor -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -eGlossary -Visual Vocabulary Flashcards Teacher Reflections Websites: www.myskillstutor.com *Math B-Using Decimals-Multiplication of Decimals *Basic – Computation –Multiplication of Decimals *Basic – Computation –Division of Decimals *Basic – Computation – Multiplication of Mixed Numbers *Basic – Computation – Problem Solving: What a Deal! *Math B-Using Decimals-Division of Decimals www.neufeldmath.com *Understanding Math Plus-Understanding Fractions-#15 Multiplying and Dividing Decimals 5 Weeks-6-7 Chapter 2: Multiply and Divide Fractions Week Essential Questions Resources NGSSS Vocabulary DW Test #’s T Teacher Reflections Chapter 2-1: Multiply Fractions and Whole Numbers -How do I multiply and divide fractions? -What do you think happens when you multiply or divide a number by a fraction? -How can rounding fractions help you determine if answers are reasonable? Textbook: Chapter 2 Pg: 88-141 2-1, 2-2, 2-3 Chapter at a Glance: pg 84B MA.6.A.1.1 MA.6.A.1.2 MA.6.A.5.3 Fraction Improper fraction Mixed numbers Reciprocal Simplest form Greatest common factor Inverse operations Lowest common denominator Sum Difference Divisor Dividend Quotient Product Whole numbers Equivalent fractions Least common multiple Divisible 3412,12829 3,128411,34 166,128418, 131770,128 296,13179,1 31771,1675 0,3592,1481 19,16752,17 2860,17286 1,72855 Chapter 2-2: Multiply Fractions -How is multiplying fractions different from adding fractions? -How is multiplying fractions different from adding fractions? Chapter 2-3: Divide Fractions -How is dividing mixed numbers similar to division of whole numbers? Technology: Get Connected: http://connected.mcgraw-hill.com/ -Lesson Animation -Graphic Novel -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -Explore Animations Websites: www.myskillstutor.com *Basic – Computation –Multiplication of Fractions *Basic – Computation –Division of Fractions *Basic – Computation – Multiplication of Mixed Numbers *Basic – Computation – Division of Mixed Numbers Sub skills for remediation: (Skills Tutor) *Basic-Number Concepts-LCM and Denominators *Basic-Number Concepts- Simplifying Fractions *Basic-Number Concepts- Multiples and Factors www.neufeldmath.com *Understanding Math Plus-Understanding Fractions-#8 Adding Fractions *Understanding Math Plus-Understanding Fractions-#9 Subtracting Fractions *Understanding Math Plus-Understanding Fractions-#10 Multiplying Fractions *Understanding Math Plus-Understanding Fractions-#11 Dividing Fractions 6 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 3-1: Measures of Central Tendency -How can we use data to become more informed about the world around us? -How are measures of central tendency helpful in describing a data set? Textbook: MA.6.S.6.1 MA.6.S.6.2 Frequency table Line plot Measures of central tendency Statistics Average Mean Median Mode Range Bar graph Circle graph Leaf Line graph Table Percent Population Outlier 34330,3433 1,34332,343 33,34337,34 334,34339,3 4351,34353, 34374,3437 5,34377,343 78,34373,17 559,34336,3 4373,34371, 34379,1376 6,14744,166 43,34345,16 717,3584,16 721,3640,36 85,3734,373 5,3740,1483 8,19644,364 1,3632,3683 ,3686,3691, 3741,14757, 17073,1728 48,68476,17 0736 Weeks 8-9 Chapter 3: Data Analysis Chapter 3-2: Data Displays -How are tables/graphs helpful in problem solving? Chapter 3 Pg: 142A-193H 3-1, 3-2 Chapter at a Glance: pg 142B Technology: Get Connected: http://connected.mcgraw-hill.com/ -Lesson Animation -Graphic Novel -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -Explore Animations -Personal Tutor -Visual Vocabulary Flashcards Websites: Teacher Reflections www.myskillstutor.com *Intermediate – Statistics and Probability - Measures of Central Tendency *Intermediate – Statistics and Probability- Bar Graphs *Intermediate – Statistics and Probability – Line Graphs www.neufeldmath.com *Understanding Math Plus-Understanding Graphing-#2 Statistics 7 QUARTER 2 Week Essential Questions Chapter 4: Ratios and Rates Weeks 1-3 Chapter 4-1: Ratio and Rates -How are ratios, rates, and equivalent ratios used in the real world? -How are fractions, ratios, and rates related? Chapter 4-2: Ratio Tables -How are ratio tables like function tables? How are they different? Chapter 4-3: Solve Ratio and Rate Problems -Describe a real-world situation when it would be helpful to find an equivalent rate. Resources 6th Advanced Math NGSSS Textbook: Chapter 4 Pg: 194-245 4-1, 4-2,4-3 Chapter at a Glance: 194B Technology: Get Connected http://.connected.mcgraw-hill.com/ MA.6.A.2.1 MA.6.A.2.2 Vocabulary DW Test #’s Equivalent ratios Rate Ratio Ratio table Scaling Unit rate Proportion 17454,1705 63,3297,167 54,17432,17 0690,17068 6,173879,14 8134,17069 2,172858,34 395,16754 Teacher Reflections -Lesson Animation -Graphic Novel -Personal Tutor -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -eGlossary -Visual Vocabulary Flashcards Websites: www.neufeldmath.com *Understanding Math Plus-Understanding Percent-#4 Ratios and Proportions 8 Chapter 5: Fractions, Decimals, and Percents Weeks: 4-6 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 5-1: Fractions and Decimals -How can the relationship between fractions, decimals, and percents be used too solve mathematical and realworld problems? -How are fractions and decimals similar? How are they different? Textbook: Chapter 5 Pg: 250-312 5-1, 5-2, 5-3, 5-4 MA.6.A.5.1 MA.6.A.5.2 MA.6.A.5.3 Rational numbers Percent Fraction Decimal Mixed number Improper fraction Whole number Factor Compatible numbers Equivalent ratios Least common denominator Benchmarks GCF LCD LCM compare Greater than Less than Divisible Divisibility Terminating decimal Repeating decimal Simplify Place value Tenths Hundredths Estimate 34146,3292 ,3465,3489, 3491,11427, 13333,1338 6,13424,132 72,3594,138 81,34149,34 145,16745,3 644,3292,34 381,3592,14 8122,17284 3,173877,17 2850 Chapter 5-2: Percents -How are fractions, decimals, and percents related? Chapter 5-3: Compare and Order Fractions, Decimals, and Percents -How can fraction equivalents be helpful in estimating percents? Chapter 5-4: Apply Percents How can fraction equivalents be helpful in estimating percents? Chapter at a Glance: pg 246B Technology: Get Connected: http://connected.mcgraw-hill.com -Lesson Animation -Graphic Novel -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -Personal Tutor -Visual Vocabulary Flashcards Websites: www.myskillstutor.com *Basic – Computation – Interchanging Fractions and Decimals *Basic – Computation – Interchanging Fractions and Percents *Basic – Computation – Interchanging Percents and Decimals *Intermediate Mathematics – Proportions and Percents – Relationship of Ratios, Percents, and Decimals Teacher Reflections www.neufeldmath.com *Understanding Math Plus-Understanding Percent-The Meaning of Percent *Understanding Math Plus-Understanding Percent-#2 Percent to Fraction/Decimal *Understanding Math Plus-Understanding Percent-#3 Fraction Decimal/Percent 9 Preparation and Midterms Weeks: 9-10 Chapter 6:Algebraic Expressions Weeks: 7-8 Week Essential Questions Resources NGSSS Vocabulary Chapter 6-1: Write and Evaluate Expressions -What are mathematical expressions and how are they used to solve problems? -Why is it important to have a set of rules, such as the order of operations, for simplifying expressions? Textbook: Chapter 6 Pg: 316-359 6-1, 6-2 MA.6.A.3. 1 MA.6.A.3. 5 Algebra Equation Algebraic expression Equivalent expressions Evaluate Numerical expression Order of operations Variable Equivalent Property Equivalent equations Commutative Property Distributive Property Associative Property Terms Like terms Formula Defining the variable Sum Difference NGSSS Review Vocabulary Chapter 6-2: Properties -How do properties and number patterns assist in simplifying equations? Chapter at a Glance: pg 316B Technology: Get Connected http://.connected.mcgraw-hill.com/ -Lesson Animation -Graphic Novel -Personal Tutor -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -eGlossary -Visual Vocabulary Flashcards Websites: www.myskillstutor.com *Intermediate Mathematics – Introduction to Algebra – Operations with Exponents *Intermediate Mathematics – Introduction to Algebra – Simplifying Numerical Expressions *Basic – Number Concepts – The Commutative Property *Basic – Number Concepts – The Distributive Property *Basic – Number Concepts – The Associative Property www.neufeldmath.com *Understanding Math Plus-Understanding Exponents-The Meaning of Exponents How can we connect what we have learned? All of the above DW Test #’s 34171,3417 2,34179,14 5187,14519 0,13329,14 7810,17566 ,19604,196 07,19595,1 9601,16606 ,3298,3487, 34861,3391 ,13898,166 01,16739,1 9579,34303 ,34304,343 05,16668,1 6705,11786 7,170613,1 70614,1728 56,170615, 170619,170 638,172842 ,148107,16 668,161127 ,79948,616 41148106,1 65065,1481 32,170642, 170648,173 886,170618 ,79947 Teacher Reflections Teacher mad e Midterm 10 QUARTER 3 Chapter 7: Solve Equations Weeks: 1-3 Week 6th Advanced Math NGSSS Essential Questions Resources Chapter 7-1: Addition and Subtraction Equations -What do you need to know in order to write and solve algebraic equations? -How is solving equations similar to simplifying expressions? How is it different? Textbook: Chapter 7 Pg: 360A-411B 7-1, 7-2, 7-3 Chapter 7-2: Multiplication and Division Equations -How is it possible for both sides of an equation to remain equal when both sides are multiplied or divided by the same number? -Personal Tutor -Self-Check Quiz -Interactive Classroom -Visual Vocabulary Flashcards 17,18 -Virtual Manipulative -eSolutions Manual -Graphic Novel -Lesson Animation -PD Equation Solution -PD Solving Equations Chapter 7-3: Two-step Equations -How is solving a two-step equation like working backward? Chapter at a Glance: Pg 360B Technology: Get Connected http://connected.mcgraw-hill.com/ MA.6.A.3.2 MA.6.A.3.3 Vocabulary DW Test #’s Coefficient Equals sign Equation Solution Solve value Subtraction Property of Equality Division Property of Equality Inverse operations Additive inverse Multiplicative inverse Define a variable One-step equation Two-step equation Simplify 145198,166 73,3623,362 0,34321,343 27,166363,1 17867,1706 13,170614,1 72856,1706 15,170619,1 70638,1728 42,148109,1 70616,1706 17,148110,1 70612,1728 41,148118 Teacher Reflections Website: www.myskillstutor.com *Intermediate Mathematics – Introduction to Algebra – One-step Equations (First half only) *Intermediate Mathematics – Introduction to Algebra – two-step Equations www.neufeldmath.com *Understanding Math Plus-Understanding Equations-#2 Solving One-Step Equations *Understanding Math Plus-Understanding Equations-#3 Solving Two-Step Equations 11 Chapter 8: Functions and Inequalities Weeks: 4-6 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 8-1: Relations and Functions -How do we use functions and inequalities to describe situations and solve problems? -How are function tables related to the coordinate plane? Textbook: Chapter 8 Pg: 412A-475J 8-1, 8-2 MA.6.A.3.2 MA.6.A.3.3 MA.6.A.3.6 Function Input Output Representations Linear function Function table Function rule Inequality Graph an inequality Two-step inequalities Relation Sequence Term Arithmetic sequence Coordinate plane Origin Graph X-Axis Y-Axis Ordered Pair X-Coordinate Y-Coordinate 34292,3429 7,34300,342 82,3384,338 6,3575,3429 0,80308,803 09,166549,1 72869,1665 48,34864,16 675,16741,3 4317,34280, 34281,,3428 3,34284,342 86,34288,68 543,34862,3 775,173866, 131194,173 863,68543,1 73893 Chapter 8-2: Inequalities -How is solving an inequality similar to solving an equation? How is it different? Chapter at Glance: Pg 412B Technology: Get Connected http://connected.mcgraw-hill.com -Lesson Animation -Graphic Novel -Personal Tutor -Self-check Quiz -Interactive Classroom -eSolution Manual -Graphing Calculator Easy Files -Virtual Manipulative -Visual Vocabulary Flashcards Websites: www.neufeldmath.com *Understanding Math Plus-Understanding Graphing-#5 Relations, Equations, and Functions Teacher Reflections 12 Chapter 9: Use Formulas in Geometry Weeks: 7-9 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 9-1: Area -How are formulas used to solve problems in geometry? -How is the area of a triangle related to the area of a parallelogram? Textbook: Chapter 9 Pg: 476B-545F 9-1, 9-2, 9-3, 9-4 MA.6.A.3.4 MA.6.G.4.1 MA.6.G.4.2 MA.6.G.4.3 Two-dimensional Base Area Center Circle Circumference Radius Pi Semicircle Formula Composite figure Cubic Units Dimensions Diameter Height Perimeter Rectangular prism Volume Parallelogram Trapezoid Triangle Irregular figures Regular figures Cubic units Square units 34203,3420 2,34229,342 54,34255,34 298,34572,3 4207,34227, 34229,3420 0,34201,,34 221,34223,3 4224,34228, 34306,3602, 3603,3299,1 70718,1379 9,13534,137 22,34150,13 799,13938,3 4572,17599, 3714,19615, 34400,3445 4,34457,144 926,3757,17 2846,17285 2,170709,17 0713,17071 4,170715,17 0716,17071 7,170718,17 2859 Chapter 9-2: Circles -Describe the relationship between a circle’s radius, diameter, circumference, and area. Chapter 9-3: Composite Figures -How is finding the area of a composite figure similar to the problem-solving strategy of solving a simpler problem? Chapter 9-4: Volume -Compare the bases in the formulas A=BH and V=BH. Chapter at a Glance: pg476B Technology: Get Connected http://connected.mcgraw-hill.com/ -Lesson Animation -Personal Tutor -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulative -Visual Vocabulary Flashcards -Graphic Novel Website: www.myskillstutor.com *Intermediate Mathematics – Geometry – Area of Polygons *Intermediate Mathematics – Geometry – Area of Circles *Intermediate Mathematics – Geometry – Circumference of Circles www.neufeldmath.com *Understanding Math Plus-Understanding Measurement and Geometry-#2 Perimeter and Area *Understanding Math Plus-Understanding Measurement and Geometry-#3 Circles Teacher Reflections Preparing our students for the CCSS While instructing students on the intricacies of area, attend to the following instructional methodologies set forth in the CCSS for grade 6. 6.G.1: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. 13 QUARTER 4 Week Essential Questions Resources -Have I developed an understanding and fluency with multiplication and division of fractions and decimals? Textbook: -Can I connect ratio and rates to multiplication and division? Websites: www.myskillstutor.com Technology: Get Connected http://connected.mcgraw-hill.com/ FCAT Week 3 NGSSS Review Weeks 1-2 www.neufeldmath.com -Can I write, interpret, and use mathematical expressions and equations? -Am I able to show master with geometry, measurement, number and operations, and data analysis? 6th Advanced Math NGSSS MA.6.A.1.1 MA.6.A.1.2 MA.6.A.1.3 MA.6.A.2.1 MA.6.A.2.2 MA.6.A.3.1 MA.6.A.3.2 MA.6.A.3.3 MA.6.A.3.4 MA.6.A.3.5 MA.6.A.3.6 MA.6.G.4.1 MA.6.G.4.2 MA.6.G.4.3 MA.6.A.5.1 MA.6.A.5.2 MA.6.A.5.3 MA.6.S.6.1 MA.6.S.6.2 Vocabulary DW Test #’s Teacher Reflections *See all vocabulary words listed above. FCAT TESTING 14 Chapter 10: Measurement: Volume and Surface Area Weeks: 4-5 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 10-1: Volume of Prisms and Pyramids -Why is it important to know how to find the volume and surface area of threedimensional figures? -How is the volume of the triangular prism related to the volume of a rectangular prism? Textbook: Chapter 10 Pg:558A- 611F 10-1, 10-2, 10-3, 10-4 MA.7.G.2.1 MA.7.G.2.2 Solids Three-dimensional Volume Formula Base Height Cone Cylinder Nets Pyramid Surface Area Triangular prism Square units Cubic units Composite shapes 16600,3445 6,144928,14 7846,16644 1,34400,344 54,34457,34 458,144926, 3703,3765,1 6593,17569, 17604,1449 02,144907,1 70719 Chapter at a Glance: pg. 558B Technology: Get Connected http://connected.mcgraw-hill.com/ Chapter 10-2: Volume of Cones and Cylinders -How is the volume of a cylinder related to the volume of a cone? -Personal Tutor -Self-Check Quiz -Interactive Classroom -eSolutions Manual -Lesson Animation -Graphic Novel -Virtual Manipulatives Chapter 10-3: Surface Area of ThreeDimensional Figures -How are two-dimensional representations of a threedimensional figure helpful? Websites: www.myskillstutor.com *Intermediate – Geometry – Formulas in Geometry *Introduction – Geometry – Surface Area Chapter 10-4: Three-Dimensional Composite Figures -How is finding the volume of a composite figure different than finding the surface area of a composite figure? How is it similar? www.neufeldmath.com *Understanding Math Plus-Understanding Measurement and Geometry-#4 Solids and Volume Teacher Reflections Preparing our students for the CCSS While instructing students on the intricacies of volume, attend to the following instructional methodologies set forth in the CCSS for grade 6. 6.G.2: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formula’s V = lwh & V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving realworld and mathematical problems. 6.G.4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. 15 Chapter 10: Measurement (cont.) and Chapter 11: Integers Week 4-5 Week Essential Questions Resources NGSSS Vocabulary DW Test #’s Chapter 11-1: Integers and the Coordinate Plane -What do you need to think about when performing operations with integers? -What is the significance of absolute value? Textbook: Chapter 11 Pg:612A-665F 11-1, 11-2, 11-3 MA.7.A.3.1 MA.7.A.5.2 MA.7.G.4.3 Absolute value Integer Negative integer Positive integer Quadrants Zero Pair Coordinate plane Ordered pairs x-axis x-coordinate y-axis y-coordinate Linear Vertical Horizontal Origin Point 80270,1679 9,3411,8027 1,80272,802 73,80274,80 276,80281,8 0282,80284, 80269,1173 4,11860,167 13,16714,16 771,16736,1 6737,16706, 34380,1738 90,148128,1 48111,6158 5,148127,14 8126,79950, 68527,1481 36,148137 Chapter 11-2: Add and Subtract Integers -How is adding and subtracting integers like adding and subtracting whole numbers? How is it different? Chapter 11-3: Multiply and Divide Integers -How do positive and negative numbers affect number operations? Chapter at a Glance: 612B Technology: Get Connected http://connected.mcgraw-hill.com/ -Lesson Animation -Personal Tutor -Self-Check Quiz -Interactive Classroom -eSolutions Maual -Graphic Novel -Virtual Manipulatives Teacher Reflections Websites: www.myskillstutor.com *Intermediate Mathematics Introduction to Algebra– Addition and Subtraction of Integers *Intermediate Mathematics Introduction to Algebra –Multiplication and Division of Integers www.neufeldmath.com *Understanding Math Plus-Understanding Whole Num. & Integers-#4 and #5 Adding Integers *Understanding Math Plus-Understanding Whole Num. & Integers-#6 Subtracting Integers *Understanding Math Plus-Understanding Whole Num. & Integers-#7 Multiplying Integers *Understanding Math Plus-Understanding Whole Num. & Integers-#8 Dividing Integers 16 Essential Questions Chapter 12-1: Rational Numbers -Describe the relationship between rational numbers, integers, and whole numbers. Chapter 12-2: Add and Subtract Rational Numbers -How is adding integers similar to adding positive and negative fractions? How is it different? Chapter 12-3: Multiply and Divide Rational Numbers -How do number patterns assist in multiplying positive and negative fractions? Resources NGSSS Vocabulary DW Test #’s Textbook: Chapter 12 Pg: 665B-719F 12-1, 12-2, 12-3 MA.7.A.3.2 MA.7.A.3.3 MA.7.A.3.4 MA.7.A.5.1 Bar notation Repeating decimal Termination decimal Rational number Positive fraction Negative fraction Negative rational number Reciprocal Multiplicative inverse 3742,14497 6,16807,148 138,16784,1 6804,16806, 148138,170 620 Chapter at a Glance: pg 666B Technology: Get Connected http://connected.mcgraw-hill.com/ Teacher Reflections -Graphic Novel -Personal Tutor -Self Check Quiz -Interactive Classroom -eSolutions Manual -Virtual Manipulatives -Lesson Animation Websites: www.neufeldmath.com Review and Final Cumulative Test/End of Year-Wrap up 10 Finals Weeks: 9- Chapter 11: Integers (cont.) and Chapter 12: Operations with Rational Numbers Week: 6-8 Week 17 18