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8th Grade Math Curriculum Map Time 8/1112/08 8/13/ 08 Text Ref. 1-2 Topic 1-3 Evaluating Expressions Order of Operations 8/14 Social contract 8/15- 1-4 18& 20/08 Integers and Absolute Value Core Content/ DOK 1.3.1/DOK 2 Essential question/Vocabulary Why do we use the order of operations? Vocab: Order of operations Strategies/Activities/ Resources Textbook Real world connections poster 1.3.1/DOK 2 5.2.1/DOK 2 How do you evaluate a variable expression? Vocab: evaluate Textbook Real world connections 1.1.2/supp What is an integer? How do you graph an integer? How do you find absolute value? Vocab: Integer, absolute value, opposites How can you model adding integers? What are the rules for adding integers? Vocab: add, subtract Textbook Real world connections Number lines and graphing 8/21 1-5 Adding Integers 1.3.1/DOK 2 8/22 1-6 Subtracting Integers 1.3.1/ DOK 2 How can you model subtracting integers? What are the rules for subtracting integers? Vocab: add, subtract Textbook Real world connections Models poster 8/2627 1-9 Multiplying & Dividing Integers 1.3.1/DOK 2 What are the rules for multiplying and dividing integers? Vocab: multiply, divide Textbook Real world connections Poster/”Good people” way to remember rules Test Textbook Real world connections Models poster Assessment Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Literary Connection Cornell note taking Cornell note taking Word expressions to variable expressions Cornell note taking Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Cornell note taking Bellringers Quiz/test/ORQ Homework Class work; Questioning Common assess. Cornell note taking Cornell note taking 8th Grade Math Curriculum Map Time Text Ref. 2-1 Topic 9/2/ 2008 2-2 Distributive Property 5.2.1/DOK 2 9/3/ 2008 1-1 Variables & Expressions 5.2.2/sup 9/17 2008 2-3 Simplifying Variable Expressions 5.2.1/DOK 2 2-4/ 2-5 Variables and Equations/ One-step equations (+ & -) 1.3.2/5.3.1 Supp/DOK 2 9/2/ 2008 Properties of Numbers Core Content/ DOK 1.5.2/DOK 2 Essential question/Vocabulary How do you use the properties of addition and multiplication to solve problems? Vocabulary: Additive identity Multiplicative identity Commutative property Associative property How do you use the distributive property with algebraic and numeric expressions? Vocabulary: Distributive property Strategies/Activities/ Resources Textbook Real world connections Posters of properties Assessment Textbook Real world connections Posters of properties Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Cornell note taking What is a variable? What is an expression? How do you write a variable expression? Vocab: variable expression, variable How do you simplify variable expressions? Vocabulary: Term, constant, like term, coefficient, simplify a variable expression, deductive reasoning Textbook Life experiences & connections “How do you say” posters Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. 2-1, 2, 3 Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess.quiz & ORQ Cornell note taking Word expressions to variable expressions How do you classify equations? How do you solve variable equations using addition and Models Textbook Real world connections Bellringers Quiz/test/ORQ Homework Class work Cornell note taking Textbook Real world connections poster Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Literary Connection Cornell note taking Cornell note taking charts 8th Grade Math Curriculum Map 10-1 2-6 One-step equations (X & ÷) 1.3.2/5.3.1 Supp/DOK 2 10-14 2-8 Inequalities & graphing 5.3.1/ DOK 2 10-14 2-9 One-step inequalities (+ & -) 5.3.1/ DOK 2 10-15 2-10 One-step inequalities (x & ÷) 5.3.1/ DOK 2 subtraction? Vocabulary: Equation, open sentence, solution of an equation, inverse operations, addition property of equality, subtraction property of equality How do you solve variable equations using multiplication and division? Vocabulary: Multiplication property of equality, division property of equality How do you write inequality? How do you graph inequalities? Vocabulary: Inequality Solution of inequality How do you solve onestep inequalities? Vocabulary: Subtraction property of inequality, Addition property of inequality How do you solve onestep inequalities? Vocabulary: Division property of inequality Mult. prop of inequality Questioning Common assess. Textbook Real world connections Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Cornell note taking Textbook Real world connections Number line Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. Cornell note taking Textbook Real world connections Number line Textbook Real world connections Number line Brainpop Cornell note taking Cornell note taking 8th Grade Math Curriculum Map Time 1 day 2 days Text Ref. 3-1 3-2 Topic Rounding & Estimating Estimating with decimals Core Content/ DOK 1.2.1/ DOK 2 1.2.1/ DOK 2 Essential question/Vocabulary Front end estimation rounding place value clustering How will estimation help you in your adult life? Front end estimation rounding place value clustering How will estimation help you in your adult life? What are the measures of central tendency? Vocabulary: Mean, Median, mode, outlier, range solve variable inverse How do we use formulas? 1 day 3-3 Mean median, mode 4.2.1/DOK 2 2 days 3-4 Formulas 5.1.5/ DOK 2 3 days 3-5 / 3-6 One-step equations w/decimals 5.3.1/ DOK 2 Inverse operations Opposite Integers inverse 1 day 3-7 Metric units converting 2.2.1/ DOK 2 What are the metric units? How do you convert metric units? Vocabulary: Meter, milli, centi, kilo, hecta, deci, deka, gram,liter Strategies/Activities/ Resources “going shopping” class activity Textbook Real world connections Models poster “going shopping” class activity Textbook Real world connections Models poster Text book Posters Real world connections Assessment Literary Connection Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. notes Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. notes Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Real world examples, like gas mileage Textbook Real world connections Models poster Textbook Real world connections Models /poster King Henry KHD/DCM Text book Posters Real world connections Bellringers Quiz/test/ORQ Homework Class work Questioning Common assess. notes Bellringers Quiz/test/ORQ Homework Class work questioning Bellringer, test/quiz, ORQ, questioning, common assessment, homework notes Cornell notetaking Work problems 8th Grade Math Curriculum Map Time 2 days 2 days Text Ref. 4-2 4-4 Topic Exponents Simplifying Fractions Core Content/ DOK 1.3.1/ DOK 2 1.1.3/ DOK 2 Essential question/Vocabulary base exponent power order of operations When are exponents useful? Factors GCF Simplify Simplest form Equivalent fractions Strategies/Activities/ Resources Practice sheets How to on calculator Textbook Real world connections Models poster Practice sheets Textbook Real world connections Models poster Assessment Literary Connection Bellringers Quiz/ORQ Homework Class Common assess. notes Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. notes Why do you need to simplify fractions? 1 day 4-5 Tree Diagrams/ fundamental counting principal 4.4.1/DOK 2 4.1.2/supp How can I use the fundamental counting principle and tree diagrams to account for all possibilities? Vocabulary: Fundamental counting principle, tree diagram Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems 1.5 days 4-6 Rational/Irrational numbers 1.1.1/1.1.2/ supp rational irrational Pi Repeating decimal Terminating decimal Non-repeating, nonterminating decimal Natural #, whole #, integers What is the difference between rational and irrational numbers? Notes Practice Textbook Real world connections Models poster Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. notes 8th Grade Math Curriculum Map 1.5 days 4-7 Exponents & Multiplication 1.1.3/ DOK 2 1.5 days 4-8 Exponents & Division 1.1.3/ DOK 2 Time Text Ref. 5-1 Topic Core Content/ DOK 6th/7th CC/supp 1 day 5-2 Terminating & Repeating decimals 1.1.3/ DOK 1 1 day 5-5 Standard units converting 2.1.2/2.2.1/DOK 2 2 days 5-7/ 5-8 Solving equations with fractions 5.3.1/ DOK 2 2 days Multiples/LCD/ LCM Base power exponent add exponents simplify How do you multiply powers? Base power exponent subtract exponents simplify How do you divide powers? Essential question/Vocabulary How do you find multiples of numbers and algebraic factors? Why do you use multiples? LCM, LCD, Multiple Practice Textbook Real world connections Models Poster Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. notes Practice Textbook Real world connections Models poster Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. notes Strategies/Activities/ Resources Textbook Real world connections Models poster Assessment Literary Connection notes What is the difference in a terminating and repeating decimal? Terminating decimal Repeating decimal Rational number What are customary units? How do you convert customary units? Vocabulary: Feet, yards, inches, miles, cup, pint, quart, gallon, ounce, pound, ton How do you solve an algebraic equation with fractions? Textbook Real world connections Models poster Text book Posters Real world connections Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringer, test/quiz, ORQ, questioning, common assessment, homework Textbook Real world connections Bellringers Quiz/test/ORQ Homework notes notes Cornell notetaking Work problems 8th Grade Math Curriculum Map Inverse operations 2 days 5-9 Powers of products 1.3.1/DOK 2 & quotients How do you multiply and divide powers? Power, exponent, base, Time Text Ref. 6-1 Topic Core Content/ DOK 1.4.1 /DOK 3 Essential question/Vocabulary How do you find a ratio and a unit rate? What is the difference? Ratio, unit rate 2 days 6-2 Proportions/Cross products 1.4.4/ DOK 3 2 days 6-4 Probability 4.4.1/DOK 2 4.1.2/supp 4.4.2/ DOK 3 1 day 6-5 Fractions, decimals, percents Compare, convert, order 1.1.3/ DOK 2 1 day 6-6 Proportions and percents 1.4.1/ DOK 3 How do you use proportions to solve problems? How do you cross multiply? Cross multiply proportion How is basic probability computed? Vocabulary: Probability, outcome, event, sample space, impossible event, certain event, complement, odds How do you change between fractions, decimals, and percents? Decimal, percent, fraction, numerator, denominator, convert, compare How do you write a percent as a proportion to solve a problem? 2 days Ratios/Unit Rates Models poster Textbook Real world connections Models poster Strategies/Activities/ Resources Textbook Real world connections Models poster Textbook; is over of method; Real world connections; Models Poster Bat and ball method Text book Posters Real world connections Textbook Real world connections Models Poster Chart worksheet Textbook Real world connections Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework; Class work, questioning. Assessment notes Literary Connection Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Prob book Dice, cards, spinners, M&M activity Fish Tagging (gold seal lesson) notes Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework notes notes Cornell notetaking Word problems notes 8th Grade Math Curriculum Map Models poster 1½ days 6-8 Percent change 1.4.1/ DOK 3 How do you find the percent of change? percent 1½ days 6-9 Markup/discount 1.4.1/ DOK 3 How do you find a markup or discount? Markup, discount Time Text Ref. 7-1 Topic Core Content/ DOK 5.3.1/ DOK 2 Essential question/Vocabulary How do you solve a 2 step equation? 3 days Solving 2 step equations Inverse operations Isolate variable 2 days 7-2 Multistep equations 5.3.1/ DOK 2 How do you solve a multistep equation? Inverse operations Isolate variable 1 day 7-3 Multistep equations w/fractions 5.3.1/ DOK 2 How do you solve a multistep equation with fractions? Inverse operations Isolate variable Textbook Real world connections Models Poster--% change formula Textbook Real world connections Models Poster—example Strategies/Activities/ Resources Textbook Real world connections Models Poster Worksheet & overhead on 2 step equations Textbook Real world connections Models poster Textbook Real world connections Models poster Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Assessment notes notes Literary Connection Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. notes Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. notes notes 8th Grade Math Curriculum Map 2 days 7-4 Writing equations 5.3.1/ DOK 2 How do you write an equation from words? Equation, expression Textbook Real world connections Models poster 2 days 7-5 Equations w/ variables on both sides 5.3.1/ DOK 2 How do you solve a multistep equation with variables on both sides? Inverse operations Isolate variable Textbook Real world connections Models poster 2 -3 days 7-6 Inequalities 5.3.1/ DOK 2 Time Text Ref. 8-2 Topic Core Content/ DOK 5.1.5/ DOK 2 How do you solve an inequality? Inequality, greater than, at least, less than, at most Essential question/Vocabulary How do you solve equations with 2 variables? Textbook Real world connections Models poster Strategies/Activities/ Resources Textbook Real world connections Models Poster—solve for y What is a function? How do you determine if an equation is a function? Textbook Real world connections Models poster 1 week With 8-4 above Time 1½ days Text Ref. 1-10 2 variable equations Functions Topic Coordinate Grid 5.1.2/ DOK 2 Core Content/ DOK 3.3.1/ DOK 2 Function, line test, x coordinate, y-coordinate Essential question/Vocabulary How does the coordinate system relate to identifying a specific location on a map? Vocabulary: Strategies/Activities/ Resources Demonstrations, partner activities, T charts Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Assessment notes Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Bellringers Quiz/test/ORQ Homework Class work questioning Common assess. Assessment notes Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems notes notes Literary Connection notes Literary Connection 8th Grade Math Curriculum Map 1½ days NA Measuring with ruler 2.1.1/ DOK 3 2-3 days 10-1 Area and perimeter of parallelograms 2.1.1/ DOK 3 2-3 days 10-2 Area and perimeter of triangles and trapezoids 2.1.1/ DOK 3 2-3 days 10-3 9-6 Area and circumference of circles 2.1.1/ DOK 3 2-3 days 10-4 Properties of 3D figures 3.1.2/ DOK 2 3.1.1/ supp 3.1.3/ DOK 2 Origin, coordinate plane, ordered pair, Cartesian grid, X axis, Y axis, quadrant, plot coordinate, point Centimeter, inch, estimate, milimeter Measurement worksheets Objects to measure Bellringer, test/quiz, ORQ, questioning, common assessment, homework Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems Textbook Worksheets Mathrealm Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems How do you find the area and perimeter of parallelograms? Vocabulary: Area, perimeter, altitude, height, base, perimeter, sides How do find the area and the perimeter of triangles and trapezoids? Vocabulary: Triangle Trapezoid Parallel How do you find the area and circumference of a circle? Vocabulary:Circle, ¶, Diameter Circumference Radius Textbook Worksheets Mathrealm Cornell notetaking Work problems Draw circles and use to find circumference and area. Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems What are the properties of 3D figures? Vocabulary: Angles, rays, lines, planes, segments, points, regular, irregular, sphere, cone, cylinder, prism, pyramid 3 dimensional objects Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems 8th Grade Math Curriculum Map 2 days 10-5 Surface Area of right rectangular prisms 2.1.5/ supp 2 days 10-6 Volume of right rectangular prisms 2.1.4/ DOK 2 3 days 11-2 Pythagorean Theorem 2.1.6/DOK 2 2 days 9-1 Introduction to geometry 3.1.1/ supp 7 days 9-2 Angle relationships 2.1.3/ DOK 2 measurement 5 days 9-3 Classifying polygons 3.1.2/ DOK 2 How do you find the surface area of a right rectangular prism? Vocabulary: Surface area How do you find the volume of a right rectangular prism? Vocabulary: volume How do you apply the Pythagorean theorem to determine the length of a hypotenuse? Vocabulary: Hypotenuse, Pythagorean theorem, legs, right triangle, sides What are the basic elements of geometry? Vocabulary: Point, line, plane, segment, ray, intersect What are the relationships created with 2 parallel lines and a transversal? Vocabulary: Transversal, complementary, supplementary, acute, right, obtuse, straight, adjacent, congruent, vertical, cooresponding, alternate interior, alternate exterior How do I classify various polygons? 3 dimensional objects Text book Posters Real world connections 3 dimensional prism Text book Posters Real world connections Brainpop Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Work problems Body movements to show shapes/angles/ etc. Text book Posters Real world connections Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Digital camera project Bellringer, test/quiz, ORQ, questioning, Cornell notetaking Word problems 8th Grade Math Curriculum Map 1 day 10-4 Properties of 3D figures 3.1.2/ DOK 2 3.1.1/ supp 3.1.3/ DOK 2 3 days 6-3/ 9-5 Scale drawings and similar/congruent figures 3.1.4/ DOK 3 5 days 9-8 9-9 9-10 Transformations and symmetry 3.2.1/ supp 3.2.2/ DOK 2 3.2.3/ supp Vocabulary: Polygon, acute triangle, obtuse triangle, right triangle, equilateral, scalene, isosceles triangles, quadrilateral, trapezoid, parallelogram, rhombus, rectangle, square, regular/irregular polygon What are the properties of 3D figures? Vocabulary: Angles, rays, lines, planes, segments, points, regular, irregular, sphere, cone, cylinder, prism, pyramid Text book Posters Real world connections common assessment, homework Real life shapes Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems How do I apply congruent and similar figures to solve real world problems? Vocabulary Similar, scale drawing, scale factor, indirect measurement, congruent figures How do I perform transformations? Vocabulary: Transformation, translation, image, preimage, reflectional symmetry, line of symmetry, reflection, rotation, center of rotation, angle of rotation, rotational symmetry Shadow method activity Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems 8th Grade Math Curriculum Map 1½ days 12-4 Counting outcomes and Theoretical probability 4.4.1/DOK 2 4.1.4/DOK 2 4.4.3/supp 4.4.4 /supp 4.3.1/supp 4.4.2/DOK 3 4.4.1/DOK 2 4.4.3/supp 1½ days 12-7 Experimental Probability 1 day 12-8 Random samples and surveys 4.3.1/supp 4.4.2/DOK 3 1 day 8-5 Scatter plots 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp 2 days 12-2 Box and whisker 4.1.1/DOK 3 4.1.4/DOK 2 4.1.5/ supp 1 day p. 640641 Stem and leaf plots 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp How do I calculate the theoretical probability of an event? Vocabulary Theoretical probability How do I calculate the experimental probability of an event? What is the difference between theoretical probability and experimental probability? Vocabulary: Experiment probability Simulation How do data gathering and bias issues affect the results of data collection? Vocabulary: Population, sample, random sample How can I use a scatter plot to represent data? Vocabulary: Scatter plot, correlation, positive/negative/no correlation How can you analyze and make inference from a box and whisker plot? Vocabulary: Box and whisker plot Quartiles Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Technology Power points Text book Posters Real world connections Poster Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems How do you create and analyze stem and leaf plots? Vocabulary: Stem and leaf plot Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems 8th Grade Math Curriculum Map 1 day Tables, Charts, and pictographs 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp How do you use tables, charts, and pictographs to display information? Vocabulary: pictograph How do you create, read, and analyze bar graphs? 1 day p. 642 p.644 p.648 Bar graphs 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp 2 days 9-6 p. 4878 Circle graphs 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp How do you create a circle graph? Vocabulary: central angle 2 days 12-1 Line plots/Line Graphs 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp 2 -3 days p. 191 Venn diagrams 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp How do you create a line plot and a line graph? Vocabulary: Line plot Range Frequency table Line graph How do you create a Venn diagram? Vocabulary: venn diagram 1 day p. 634 Histograms 4.1.1/DOK 3 4.1.4/DOK 2 4.1.2/ supp How do you create a histogram? Text book Posters Real world connections Text book Posters Real world connections Text book Posters Real world connections Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Bellringer, test/quiz, ORQ, questioning, common assessment, homework Bellringer, test/quiz, ORQ, questioning, common assessment, homework Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Outside activity Text book Posters Real world connections Text book Posters Real world connections Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Bellringer, test/quiz, ORQ, questioning, common assessment, homework Cornell notetaking Word problems Cornell notetaking Word problems Cornell notetaking Word problems Cornell notetaking Word problems