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LITTLE ROCK SCHOOL DISTRICT Curriculum Map Grade 8 Mathematics Table of Contents Big Idea Date Length Text Book Alignment Data Representations August 19th – September 1 10 days Ch 12.1→5 Algebra Expressions September 2nd - 30th 20 days Ch 1→3 Rational Expressions Equations & Inequalities Ratio, Proportion & October 1st -29th 20 days Ch 4→7 Percents Functions November 1st – December 17th 30 days Ch 8 Linear Ch 13.5 Non-Linear Ch 13.6 Geometry Pythagorean, Congruence January 4th – 21st 13 days Ch 9.1, 9.5→9.7 & Similarity 2-Dimension January 24th – February 21st 19 days Ch 10.2→10.8 3-Dimension February 22nd – March 17th 18 days Ch 11.3→5 Ch 11.7 Probabilities March 28th – April 8th 10 days Ch 6.9 Theoretical and Experimental Ch 12.6 Polynomials and Misc. Content April 18th – June 2nd 33 days Ch 13.1-4 Little Rock School District Grade 8 Math Month Content Skills/Benchmarks Essential Questions Assessments Strategies/Resources August19 Data/Statistical • DAP.14.8.3 Interpret or How can I display and INTERIM: RESOURCES: --- Representations solve real-world problems compare data visually? September 1 using data from charts, line CMP – Samples and Note: Word Problems, •Visual representations of data plots, stem-and leaf plots, What observations (skewed Populations Critical Thinking, Challenge, 10 days Line Plots double-bar graphs, line or not) can be made from Check – Ups and Writing in all sections to Stem & Leaf Plots graphs, box-and whisker plots, different visual data Quizzes enforce rigor in class. Bar/Double Bar scatter plots, frequency tables representations? Graphs or double line graphs GLENCOE Noteables Line/Double Line ANCHOR: Interactive Study Notebook: Graphs • DAP.14.8.1 Design and Use with appropriate lessons. Box & Whisker Plot conduct investigations which include CMP – Samples and GLENCOE Pre-Algebra T.E.: Scatter Plot Populations Frequency Tables Adequate number trials Ch. 12, Lessons 1-5 ……….unbiased sampling Unit Test •Misleading Statistics ……….accurate measurement CMP – Samples and •Outcomes & Conjectures ……….record keeping Safe Water & Life Populations Expectancy Project Investigation 1 & 4 • DAP.14.8.2 Explain which Additional Practices types of display are appropriate Math Reflections for various data sets (scatter plot for relationship between GLENCOE Course 1 two variants and line of best Ch. 11, Lesson 2 fit) MeasurMints: • DAP.16.8.1 Use observations Tasty Tree Diagrams about differences between sets of data to make conjectures Target Teach Strategy Lesson about the populations from for M.15.8.4 ( To be completed which the data was taken after Glencoe 9.3) • DAP.15.8.1 Compare and Roads to Reasoning: Grade 8 contrast the reliability of data Section Four: Problems 5,6 & sets with different size 10 (Graph, Statistics) populations Section Six: Problems 1, 3, & 10 (Circle graph, Bar graph, • DAP.15.8.2 Analyze, with Venn Diagram, Stem & Leaf) and without appropriate technology, graphs by comparing measures of central STRATEGIES: tendencies and measures of 1. Note-taking 1 Little Rock School District Grade 8 Math Month Content Skills/Benchmarks Essential Questions Assessments Strategies/Resources spread Vocabulary Development • DAP.15.8.3 Given at least Fundamental Skill one of the measures of central tendency create a data set • DAP.15.8.4 Describe how the inclusion of outliers affects those measures September 2 The Tools of Algebra • NO.2.8.2 Understand and How is Algebraic language RESOURCES: --- •Using Problem Solving Plan apply the inverse and used in everyday life as September •Order of Operations identity properties words, tables, pictures, and Note: Word Problems, 30 •Variables & Expressions symbolic representations? Critical Thinking, Challenge, •Properties • NO.2.8.4 Apply rules and Writing in all sections to •Variables & Equations (conventions) for order of enforce rigor in class. •Scatter Plots operations to rational numbers INTERIM: GLENCOE Noteables Interactive Study Notebook: • NO.3.8.1 Compute, with SOAR Use with appropriate lessons. 20 days and without appropriate September 23-24 technology, with rational GLENCOE T.E.: Pre-Activity numbers in multi-step and lesson 1.1-1.3; 1.4; 1.5; 1.7; problems Study Guide and Review pp 47- 50. • A.4.8.1 Find the nth term Target Teach Strategy Lesson in a pattern or a function for 2.8.4 (Substitute for table Glencoe 1.2 and 1.3) Integers • NO.2.8.5 Model and GLENCOE T.E.: Pre-lesson Adding Integers develop addition, activity and the lesson 2.2, Subtracting Integers Reading Mathematics, 2.3, 2.4 subtraction, multiplication Multiplying Integers & 2.5 and division of rational Dividing Integers numbers (Integers) 2 Little Rock School District Grade 8 Math Month Content Skills/Benchmarks Essential Questions Assessments Strategies/Resources Equations • NO.2.8.1 Apply the addition, subtraction, Equations multiplication and division ANCHOR: Distributive Property properties of equality to GLENCOE T.E.: 3.1-3.7 Simplifying Express two-step equations •Fall Dance Solving Equations by Teaching Pre-Algebra with Adding, Subtracting, • NO.2.8.3 Use inverse Manipulatives p 42 Multiplying & Dividing relationships (addition and "Multiplying with Overhead Writing & Solving two subtraction, multiplication Manipulatives and Exploring 2- step equations and division, squaring and Step Equations" p 54 Using Equations square roots) in problem solving situations Roads to Reasoning: Grade 8 Sect 2: Problems 1 & 10 • A.5.8.3 Translate Sect 5: Problems 2, 5, 6 sentences into algebraic equations and inequalities and combine like terms within polynomials STRATEGIES: 1. Note-taking Vocabulary Development • NO.3.8.2 Solve, with and without appropriate technology, multistep problems using a variety of methods and tools (i.e. objects, mental computation, paper and pencil) • A.5.8.1 Solve and graph two-step equations and inequalities with one- variable and verify the reasonableness of the result with real world application with and without technology 3 Little Rock School District Grade 8 Math October 1 Factors and Fractions Factors and Fractions INTERIM: RESOURCES: --- •Factors & Monomials October 29 •Powers & Exponents • NO.3.8.4 Apply factorization Fraction Situations Note: Word Problems, •Prime Factorization & GCF to find LCM and GCF of Critical Thinking, Writing in •Simplifying Algebraic algebraic expressions Math in all sections to enforce Fractions rigor in class. •Multiplying & Dividing • NO.1.8.1 Read, write, Monomials GLENCOE Noteables compare and solve problems, with and without appropriate Interactive Study Notebook : technology, including numbers Use with appropriate lesson less than 1 in scientific notation GLENCOE T.E.: 4.2-4.4,4.8 Target Teach Strategy Lesson • NO.1.8.2 Convert between for 1.8.2 (Substitute for scientific notation and standard Glencoe 4.8) notation, including numbers from zero to one Teaching Pre-Algebra with Manipulatives p 64 Rational Numbers Rational Numbers GLENCOE T.E.: 5.1-5.9, •Writing Fractions as Decimals •Multiplying and Dividing Teaching Pre-Algebra with • NO.2.8.5 Model and develop Rational Numbers Manipulatives addition, subtraction, Anchor: •Solving Equations with p69- "Tangram" multiplication and division of Rational Numbers p 76- "Triangular and Square rational numbers •Adding & Subtracting Numbers" Fractions & LCM p 78- "Fibonacci Sequence" • NO.3.8.4 Apply factorization •Central Tendency to find LCM and GCF of algebraic expressions Roads to Reasoning: Grade 8 Section One: Problems 2,7&8 (Mean) • M.12.8.2 Describe and apply Section Two: Problem 8 equivalent measures using a (Fractions) variety of units within the same Section four: Problems 3 system of measurement (Fractions) Section Five: Problem 9 • DAP.15.8.3 Given at least (Fractions) one of the measures of central Section Five: Problems 6 (Algebra) 4 Little Rock School District Grade 8 Math tendency create a data set Section Six: Problem 6 (Fractions) A.5.8.4 Write and evaluate algebraic expressions using rational numbers GLENCOE T.E.: 6.4-6.8 Ratio, Proportion, and Ratio, Proportion and Percent Percent Target Teach Strategy Lesson Fractions, Decimals, & • NO.3.8.3 Use Estimation to for 3.8.6 (Substitute for Percents solve problems involving Glencoe 6.8) •Using the Percent Proportion rational numbers; including •Using Percent Equations ratio, proportion, percent Roads to Reasoning: Grade 8 •Percent of Change (increase or decrease) then Section One: Problems 5 AR04M08010201Oct.pdf •Probability & Predictions judge the reasonableness of (Percent) solutions Section Two: Problems 1, 2,&9 (Ratio, Percent, Discount) • NO.3.8.6 Solve, with and Section Three: Problem 8 without technology, real world (Commission) percent problems including Section Four: Problems 9 percent of increase or decrease (Percent) Section Five: Problem 10 (Percent) Inequalities • A.5.8.1 Solve and graph two- Solving Inequalities step equations and GLENCOE T.E.: 7.3-7.6 by adding, inequalities with one-variable subtracting, and verify the reasonableness Teaching Pre-Algebra with multiplying, or of the result with real world Manipulatives p 101 dividing, and with application with and without "Inequalities and the Number multiple steps technology Line" Graph Inequalities • A.5.8.3 Translate sentences into algebraic equations and inequalities and combine like terms within polynomials 5 Little Rock School District Grade 8 Math November 1 Functions and Graphing Functions and Graph How do models help RESOURCES: December •Functions simplify solving a real life 17 •Linear Equations in 2 • A.5.8.2 Solve and graph problem? Note: Word Problems, variables- slope, rate of change, linear equations (in the form Critical Thinking, Challenge, graphing, writing, and slope- y= mx + b) and Writing in all sections to intercept form enforce rigor in class. •Systems of Equations • A.6.8.1 Describe, with and •Graphing Inequalities GLENCOE Noteables without appropriate technology, the relationship Interactive Study Notebook: between the graph of a line and Use with appropriate lessons. its equation, including being able to explain the meaning of slope as a constant rate of GLENCOE Pre-Algebra T.E.: change (rise/run) and y- Interim: Ch. 8 Linear Graphing intercept in real-world Navigating through Algebra Lessons 1-2,4-8 problems in Grade 6-8: “Printing Books” pp 56-58 Target Strategy Lesson For • A.6.8.2 Represent, with and A.2.8.1 teach first without appropriate technology, linear relationships Target Strategy Lesson For concretely, using tables, graphs A.2.8.3 teach second and equations. Lesson For A.4.8.1 and A4.8.2 • A.7.8.1 Use, with and (Can be taught after Lesson without technology, graphs of 8.1) real life situations to describe the relationships and analyze Target Strategy Lesson For change including graphs of A.4.8.3( teach next) change (cost per minute) and graphs of accumulation (total Anchor: Target Teach Strategy Lesson cost) for A.5.8.2 ( Substitute for Soar on November 18-19 Glencoe 8.6) • A.4.8.1 Find the nth term in a pattern or a function table Target Strategy Lesson For A.5.8.3 teach after A.5.8.2 (Substitute for Glencoe 8.7) • A.4.8.2 Using real world situations, describe patterns in Target Teach Strategy Lesson words, tables, pictures, and for A.6.8.1 (Do right after symbolic representations Target Teach Strategy Lesson for A.5.8.3) A.4.8.3 Interpret and represent 6 Little Rock School District Grade 8 Math a two operation function as an Target Strategy Lesson A.6.8.2 algebraic equation (After Target Strategy Lesson for A.5.8.3) A.4.8.4 Use tables, graphs, and equations to identify GLENCOE Pre-Algebra independent/dependent TE Chapter Resources variables(input/output) Student Skills Practice Workbook • G.10.8.1 Use coordinate geometry to explore the links CMP – Moving Straight Ahead between geometric and Investigations 5 & 6 algebraic representations of problems (lengths of Roads to Reasoning: Grade 8 segments/distance between Sect 5: Problem 3 points, slope/perpendicular- Sect 2: Problems 1 parallel lines) • DAP.14.8.2 Explain which types of display are appropriate for various data sets (scatter plot for relationship between two variants and line of best fit) • A.6.8.3 Differentiate between independent/dependent variables given a linear relationship in context • A.5.8.3 Translate sentences into algebraic equations and inequalities and combine like terms within polynomials GLENCOE T.E.: 13.5-13.6 • A.6.8.4 Represent, with and Target Teach Strategy Lesson without appropriate A..6.8.4 technology, simple exponential and/or quadratic functions using verbal descriptions, STRATEGIES: tables, graphs and formulas 1. Note-taking and translate among these Vocabulary Development 7 Little Rock School District Grade 8 Math representations January 4 Real Numbers and Right • G.8.8.3 Determine How can you find the height RESOURCES: --- Triangles appropriate application of of an object without January 21 • Squares and square roots geometric ideas and measuring the height? Note: Word Problems, Real Number System relationships, such as Critical Thinking, Writing in •Angles & Triangles congruence, similarity, and Math in all sections to enforce Soar: Jan. 11-12 •Pythagorean Theorem the Pythagorean theorem, rigor in class. •Distance and Midpoint with and without appropriate Similar Triangles and indirect technology GLENCOE Noteables Measurement Interactive Study Notebook : • NO.3.8.5 Calculate and find Use with appropriate lesson approximations of square roots with appropriate technology ANCHOR: GLENCOE T.E.: 9.1-2,9.5-9.7 Navigating through • NO.1.8.4 Understand and Measurement in Grades 6-8 Teaching Pre-Algebra with justify classifications of pp 55-59 "Finding Heights" Manipulatives p 118 "Using the numbers in the real number Pythagorean Theorem" system Activity: Chapter 9 Resource Masters: NO.1.8.3 Compare and order real numbers including pp 541, A27 & A28, excluding question #4. irrational numbers and find their approximate location on a number line (Use technology when appropriate) Target Teach Strategy Lesson for M.13.8.3 ( Substitute for Glencoe 9.7) • NO.2.8.3 Use inverse relationships (addition and subtraction, multiplication and Lesson for Perpendicular and division, squaring and square Parallel lines (From SLE roots) in problem solving G.10.8.1) situations Pythagorean Theorem Options: • NO.2.8.5 Model and develop addition, subtraction, 1. CMP –“Looking for multiplication and division of Pythagoras” rational numbers 2. Lesson From NZNumeracy Project • G.10.8.1 Use coordinate 8 Little Rock School District Grade 8 Math geometry to explore the links Roads to Reasoning: Grade 8 between geometric and Section One: problem 1 algebraic representations of (Proportion) problems (lengths of Section Two: Problems 5 segments/distance between (Ratio) points, slope/perpendicular- Section Three: Problem 7 parallel lines) (Scale Drawing) Section Four: Problem 2 • M.13.8.4 Find the distance (Similarity) between two points on a Section Six: Problem 2 coordinate plane using with the (Perfect Squares) Pythagorean theorem • M.13.8.3 Apply proportional STRATEGIES: reasoning to solve problems involving indirect 1. Note-taking measurements, scale drawings 2. Cooperative Learning 3. Refection Strategies or rates Vocabulary Development • M.13.8.1 Draw and apply measurement skills with fluency to appropriate levels of precision January 24 Two-Dimensional Figures Two-Dimensional Figures What evidence of geometric RESOURCES: --- •Congruent Triangles shapes, measurements, and February 21 •Transformations on the • G.8.8.1 Form generalizations transformations do we see in Note: Word Problems, Coordinate Planes and validate conclusions everyday architectural Critical Thinking, Writing in •Polygons about properties of geometric structures Math in all sections to enforce Quadrilaterals shapes rigor in class. Paralellograms Triangles • G.8.8.3 Determine GLENCOE Noteables Trapezoids appropriate application of Interactive Study Notebook : Circles Use with appropriate lesson geometric ideas and •Area & Circumference relationships, such as congruence, similarity, and the GLENCOE T.E.: 10.1-10.8 Pythagorean theorem, with and without appropriate technology Target Strategy Lesson For M.13.8.5 (Substitute for 10.8) • G.9.8.1 Determine a transformation’s line of Target Teach Strategy Lesson symmetry and compare the G 8.8.3 9 Little Rock School District Grade 8 Math properties of the figure and its ANCHOR: transformation "By the Sea", Dana Center Roads to Reasoning: Grade 8 Chapter 3: "Geometry and Section Two: problem 7 • G.9.8.2 Draw the results of Spatial Reasoning" pp 135- (Area) translations and reflections 146 Section Three: problems 2 & 5 about the x and y-axis and (Geometry) rotations of objects about the Section Four: problem 4 origin (P.Theorem) Section Six: problems 4 & 8 • M.12.8.1 Understand, select (Area, P.Theorem) and use, with and without appropriate technology, the appropriate units and tools to Target Strategy Lesson G 9.8.2 measure angles, perimeter, Interactive Study Notebook : area, surface area and volume Use with appropriate lesson to solve real world problems • M.13.8.5 Estimate and compute the area of irregular two dimensional shapes February 22 Three Dimensional Figures G.8.8.2 Make, with and How do manufacturers and RESOURCES: --- without appropriate retailers use their knowledge March 17 •Volume- Pyramids & Cones technology, and test of volume and surface area Note: Word Problems, conjectures about to maximize appeal to Critical Thinking, Writing in •Surface Area-Pyramids & characteristics and properties customers? Math in all sections to enforce Cones between two-dimensional rigor in class. figures and three-dimensional •Significant Digits objects Interim: GLENCOE Noteables Interactive Study Notebook : • G.11.8.1 Using isometric dot Soar: March 10-11 Use with appropriate lesson paper interpret and draw different views of buildings GLENCOE T.E.: 11.3-11.5 & 11.7,Reading Mathematics • M.12.8.1 Understand, select p589 and use, with and without appropriate technology, the Teaching Pre-Algebra with appropriate units and tools to Manipulatives p 143 "3D measure angles, perimeter, Figures" area, surface area and volume Roads to Reasoning: Grade 8 10 Little Rock School District Grade 8 Math to solve real world problems ANCHOR: Section Four: Problem 7 Chapter 11 Resource Masters (Surface Area) • M.13.8.1 Draw and apply Open-Ended Assessment pp measurement skills with 657, A25 & A26 fluency to appropriate levels of STRATEGIES: precision 1. Note-taking • M.13.8.2 Solve problems 2. Cooperative Learning involving volume and surface 3. Graphic Organizers area of pyramids, cones and composite figures, with and without appropriate technology March 28 --- April 8 Probability RESOURCES: •Outcomes DAP.17.8.2 Make predictions How are predictions made Note: Word Problems, based on theoretical and why is it so important? Critical Thinking, Writing in probabilities, design and Math in all sections to enforce conduct an experiment to test rigor in class. the predictions, compare actual results to predict GLENCOE Noteables results, and explain Interactive Study Notebook : differences Use with appropriate lesson • DAP.16.8.1 Use observations GLENCOE T.E.:6.9,12.6 about differences between sets of data to make conjectures Target Strategy Lesson For about the populations from DAP.15.8.2 (teach last) which the data was taken Teaching Pre-Algebra with • DAP.17.8.1 Compute, with Manipulatives: and without appropriate pp 90-91- "Making Predictions" technology, probabilities of p 94 "Taking a Survey” compound events, using organized lists, tree diagrams and logic grid Activity: Open-Ended Assessment and Math Journal: Chapter 12 • DAP.15.8.1 Compare and contrast the reliability of data 11 Little Rock School District Grade 8 Math sets with different size Roads to Reasoning: Grade 8 populations Section Two: Problem 3&6 (Outcomes, Counting Principle) • DAP.16.8.1 Use observations Section Three: Problems 1 about differences between sets (Probability) of data to make conjectures Section Six: Problems 7& 9 about the populations from ( Probability) which the data was taken STRATEGIES: 1. Note-taking 2. Cooperative Learning 3. Graphic Organizers April 18 Polynomials and Nonlinear Interim: RESOURCES: --- Functions The focus is to prepare June 2 Polynomials- Adding, students for algebra 1 Soar on May 12 or 13 Note: Word Problems, Subtracting, & Multiplying, Critical Thinking, Writing in •Linear & Nonlinear Functions For Selected schools we will Math in all sections to enforce •Graphing Quadratic & Cubic use The America’s Choice rigor in class. Functions Navigator. GLENCOE Noteables National standard Catch- There will be specific activities Interactive Study Notebook : Up ANCHOR: Use with appropriate lesson given for all other schools. Alternate Assessment and Math Journal Chapter 13 GLENCOE T.E.: 13.1-4 Teaching Pre-Algebra with Manipulatives p. 162 "Multiplying Binomials" Resource Manual: Chapter Resource Masters, "Graphing Parabolas" p 163 Navigator Materials STRATEGIES: 12 Little Rock School District Grade 8 Math 1. Note-taking 2.Cooperatice Learning 3. Reflection Strategies 13