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7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 1st NINE WEEKS Suggested Essential Objectives Resources Vocabulary Writing Time Frame Questions August 25 – 5.02 Translate among different 5.02 How do you translate 5.02 Glencoe Textbook 5.02 term, like terms, September 25 representations of algebraic algebraic expressions? *Blackline Masters (V-10, V-11, combining like terms, simplify, expressions, equations and V-38 – V-41, factor, equivalent expressions, inequalities. *Write an algebraic Variables and 5.01 How would you identify V-44 – V-50) coefficient, variable, exponents, expression involving two Patterns 5.01 Identify, analyze, and patterns when given *Indicators p. 37,38 rules of exponents, multiplicative variables and two or more create linear relations, problems with functions? * Week by Week Essentials identity, additive identity, operations. Assign values to +10 days to sequences, and functions using * p. 15 Daily Intervention multiplicative inverse, the variables and evaluate. extend 8th symbols, graphs, tables, 5.03 How do you write a *Classroom Strategies p. additive inverse, grouping diagrams, and written Write a paragraph showing grade, goal 5 problem given a linear symbols, order of operations, descriptions. 69-73 how the result was objectives equation or inequality? parentheses, brackets, braces determined. Students need to be 5.03 Use and evaluate *During a workourt, a target 5.03 How do you evaluate familiar with a variety algebraic expressions, linear heart rate, y in beats per equations or inequalities to algebraic expressions? 5.01 *Glencoe Textbook of notations for minute, is represented by y= solve problems. * Blackline Masters multiplication: .7(220 – x), where x is a 5.02 How do you translate (V-8, V-9, V-31 – axb person’s age. Compare your 5.04 Develop fluency in the use and solve algebraic V-37, V-42, V-43) a•b target heart rate to that of of formulas to solve problems. equations? *Indicators p. 35,36 a(b) a 30 yr. old. * Week by Week Essentials 8.5.01 Develop an 5.04 How can you use * p. 176 Hands-On-Lab 5.01 variable, independent understanding of function. a) Translate among verbal, formulas to help you solve * Classroom Strategies p. 67 & 68 dependent, evaluate, order of problems? operations, simplify, like terms tabular, graphic, and algebraic representations of functions. domain, range, input, output b) Identify relations and 5.03 *Glencoe Textbook functions as linear or nonlinear. *Blackline Masters (V-1 – V-7, 5.03 variable, additive inverse c) Find, identify, and interpret V-12 – V-21, multiplicative inverse, the slope (rate of change) and V – 30) distributive property, equivalent, intercepts of a linear relation. *Indicators p. 39,40 expressions, order of operations, d) Interpret and compare * Week by Week Essentials less than <, greater than >, less properties of linear functions * p. 154 Hands-On-Lab than or equal to ≤, greater than from tables, graphs, or equations. * Classroom Strategies p. 74 - 76 or equal to ≥, compound inequality, Function, Domain, 8.5.02 Write an equation of a Range, Input / Output, linear relationship given: two Parentheses, Brackets, Braces, points, the slope and one point Distributive, Property, on the line, or Substitution the slope and y-intercept. 5.04 Knowing the formulas 8.5.03 Solve problems using 5.04 substitution, variable, for area and perimeter of linear equations and evaluate, transform, rectangles, Is it sometimes, inequalities; justify investment, interest always, or never true that symbolically and graphically. the perimeter of a rectangle 8th grade: slope intercept, point is numerically greater than 8.5.04 Solve equations using slope form, cube root the inverse relationships of its area? Give several addition and subtraction, examples in your multiplication and division, explanation. squares and square roots, and cubes and cube roots. 7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 1st NINE WEEKS Suggested Essential Objectives Resources Vocabulary Writing Time Frame Questions 1.01 1.01 How can you 1.01 *Week by Week Essentials 1.01 equivalence, equivalent ratios, 1.01 Write a letter to a Develop and use ratios, *Glencoe Textbook ratio table, rate, unit rate, best buy, Sept. 28 – compare rational p. 228 Daily Intervention friend explaining how to Oct. 16 proportions, and percents to part-to-part relationship, part-to- solve problems. numbers? p. 293 Daily Intervention whole relationship, taxes, find discount price. Stretching and p. 355 Daily Intervention p.358 commission, interest, discount, mark- Shrinking 8.1.01 Develop number sense up, percent of change, percent of +2 days for 8th 1.01 How do you solve *Classroom Strategies for the real numbers. *Indicators p. 3-7 increase, percent of decrease, 2.01 Write as many grade 1.01 proportions? a) Define and use Have students sort M & M candy according wholesale, retail, examples of a ratio that you irrational numbers. to color to find the ratio and percent of the similarity, circle graphs can think of in five minutes. b) Compare and order. 1.01 How could you use different colors in the package. c) Use estimates of ratio, proportion or 8.1.01 radical, terminating decimal, Have students cut out sale ads offering irrational numbers in repeating decimal, non-terminating, percent to solve real life percents discounts. Ask students to group non-repeating, pi, π, square root, appropriate situations. the ads according to the percent. Have problems? them calculate the amount of savings on radicand, perfect square, number line, 1.03 Develop flexibility in each item. Then organize the ads by equal=, less than <, greater than >, less solving problems by selecting amount of savings. than or equal to ≤, greater than or equal to strategies and using mental 1.03 How could you use Blackline Masters ≥, compound inequality (ex. a < x < b), computations, estimation, integers and rational (I-26 and I-27, I-3 - I-7, I-2, I-15 and I-28, I- ascending order, descending, order, calculators or computers, and numbers to solve real life 8 - I-14, I-33) estimation, place value, paper and pencil. Blackline Master I-1, I-17 benchmark values problems? Blackline Masters I-18, I-22 and 1-30 2.01 *Week by Week Essentials 1.03 percent, percent of change, *Classroom Strategies p. 8-26 Draw objects to scale and use 3.03 How do you find percent of increase, percent of scale drawings to solve missing lengths or missing *Glencoe Textbook --p. 121 Daily decrease, mark-up, selling price, problem. sales tax, commission, discount, angles of similar figures? Intervention-p. 106 Daily Intervention -p. 109 regular price, sale price, interest, 3.03 circle graphs, guess and test, Use scaling and proportional 3.02 How can you justify make a table/chart/graph, make a reasoning to solve problems 2.01 Blackline Masters whether a figure is similar http://regentsprep.org/Regents/Math/scal diagram/picture, make an organized related to similar and list, work backwards, congruent polygons. and/or congruent? e/PracScale.htm find a pattern, work a simpler http://www.indiana.edu/~atmat/units/rati problem, extraneous information 3.02 Identify, define, and o/ratio_s4.htm describe similar and congruent Classroom Strategies 2.01 Proportion, Ratio, Equivalence, polygons with respect to angle p. 29-30 Similarity, Dilation, Scale factor, measures, length of sides, and Enlargement, Reduction, proportionality of sides. 3.03 Classroom Strategies p. 42-44 Projection point Blackline Masters 3.03 Corresponding parts, Cross http://www.math.com/school/subject3/le product, Indirect, measurement, ssons/S3U3L2DP.html Transformation, Dilation, Scale, factor 3.02 Blackline Masters 3.02 Corresponding Sides, angles, Symbol for congruence ≈, Symbol for similarity~ 1st Quarter Benchmark Assessment October 19-23 1.01,1.03, 2.01, 5.01, 5.02, 5.03, 5.04 7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 2nd NINE WEEKS Suggested Time Objectives Essential Questions Resources Vocabulary Writing Frame Oct 19 – 30 1.03 Develop flexibility in 1.03 How could you use 1.03 percent, percent of change, solving problems by selecting integers and rational percent of increase, percent of Stretching and strategies and using mental numbers to solve real life decrease, mark-up, selling price, Shrinking computations, estimation, problems? sales tax, commission, discount, regular price, sale price, interest, calculators or computers, and circle graphs, guess and test, paper and pencil. make a table/chart/graph, make a diagram/picture, make an organized list, work backwards, find a pattern, work a simpler problem, extraneous information 3.03 How do you find 3.03 Classroom Strategies 3.03 missing lengths or p. 42-44 3.03 Corresponding parts, Use scaling and proportional missing angles of similar Blackline Masters Cross product reasoning to solve problems figures? Indirect, measurement, related to similar and congruent polygons. http://www.math.com/scho Transformation, Dilation, ol/subject3/lessons/S3U3L2D Scale, factor 3.02 Identify, define, and P.html 3.02 How can you justify 3.02 Corresponding Sides, describe similar and whether a figure is 3.02 Blackline Masters angles, Symbol for congruent polygons with similar congruence ≈, Symbol for respect to angle measures, and/or congruent? similarity~ length of sides, and proportionality of sides. 8.3.02 right triangle, hypotenuse, Leg, Pythagorean triple, 8.3.02 Apply geometric complementary angles, properties and relationships, supplementary angles, perimeter, including the Area, square, square root, Pythagorean theorem, irrational number to solve problems. 8.3.03 transformation, enlargement 8.3.03 Identify, predict, Reduction, shrink, stretch, scaling, and describe dilations scale factor, image, pre-image, in the coordinate notation: plane. ΔABC ΔDEF ΔABC ΔA’B’C’ A A’ (x, y) (x’, y’) (x’, y’) = (ax, ay) Similarity, ratio, proportion, corresponding parts, coordinate plane 7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 2nd NINE WEEKS Suggested Essential Time Objectives Resources Vocabulary Writing Questions Frame Nov. 3 – Dec. 4 1.01 1.01 How can you 1.01 equivalence, equivalent Comparing and Scaling Develop and use ratios, compare rational ratios, ratio table, rate, unit proportions, and numbers? rate, best buy, part-to-part percents to solve relationship, part-to-whole problems. 1.01 How do you solve relationship, taxes, proportions? commission, interest, discount, mark-up, percent of 1.01 How could you use change, percent of increase, ratio, proportion or percent of decrease, percent to solve real life wholesale, retail, problems? similarity, circle graphs 1.02 Dec. 7 – Jan. 21 1.02 Develop fluency In 1.02 How do I add, 1.02 integers, rational numbers, Tell the students to 1.02 Accentuate the addition, subtraction, subtract, multiply, and proper fraction, improper explain in their own *Week by Week Essentials Negative multiplication, and divide integers fraction, mixed number, words how to add and *Classroom Strategies p. 27-28 division of rational terminating decimal, repeating subtract integers. *Indicators Daily Intervention numbers. decimal, inverses/ opposites, p.7 a) Analyze reciprocal, inverse operations, computational Integer Addition Race factors, multiples, least common strategies. multiple, greatest common factor, b) Describe the effect of prime number, composite number, Integer Computation and Square operations on size. prime factorization and Triangle Puzzle c) Estimate the results of computations. Rational Math Bingo d) Judge the reasonableness of solutions. 2nd Quarter Benchmark Assessment January 11-15 Obj. 1.01, 1.02, 1.03, 3.02, 3.03 7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 3rd NINE WEEKS Suggested Time Objectives Essential Questions Resources Vocabulary Writing Frame Jan. 25 – 29 3.01 3.01 How do you identify a view 3.01http://www.math.c 3.01 3D figure, Prism, *Playing with Using three-dimensional when given a three-dimensional om/school/subject3/less Pyramid, Cylinder, Cone, Blocks: Visualizing figures: drawing? ons/S3U4L1GL.html Sphere, Polyhedron, Functions (Packet) a) Identify, describe, and Net, Isometric view, http://education.yahoo.c draw from various views 3.01 How do you draw the end, om/homework_help/mat Bird’s eye view, (top, side, front, corner). side, and top views of three- h_help/problem?id=minig Linking cube b) Build from various dimensional figures? eogt_11_1_1_1_100 +5 days for 8th views. Isometric dot paper 8.3.01 geometric probability grade, goal 3 c) Describe cross- Classroom Strategies p. Area, volume, cylinder, cube objectives sectional views. 31-41 http://www.mcwdn.org/ Geometry/ 8.3.01 Represent problem SpaceFiguresQuiz.html situations with geometric models. 2.02 Blackline Masters 2.01 Proportion, Ratio, 2.02 Write haiku 2.01 Classroom Strategies Equivalence, Similarity, poems for Feb. 1 – March 5 Draw objects to scale and 2.02 How do you find the volume p. 31-35 Dilation, Scale factor, geometric solids. Filling and Wrapping use scale drawings to solve of prisms, cylinders, and http://www.shodor.org/in Enlargement, Reduction, Ex:Triangular Prism problem. rectangular solids? teractivate/activities/sa_v Projection point Would I use the olume/ formula for SA or 2.02 for volume if I http://argyll.epsb.ca/jree 2.02 Triangular prism, wanted to Solve problems involving d/math9/strand3/3107.ht Rectangular prism, Cube, find the mount of volume and surface area 2.02 How do you find the surface m Pentagonal prism, wrapping paper of cylinders, prisms, and area of rectangular solids and Hexagonal prism, Length, needed to wrap a composite shapes. http://www.aaaknow.com box? Explain. cylinders? Width, Height, Base, Would I use the /geo.htm Face, Lateral face, formula for SA or *Blackline Masters (V-22 – V – 29) Lateral area, Radius, for volume if I Diameter, wanted to * Indicators p. 41 find out how much * Week by Week Essentials Circumference, Density water a swimming * Classroom Strategies p. pool could hold? 77-78 Explain. 3rd Quarter Benchmark Assessment March 15 – 19 “mock” EOG- all objectives assessed 7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 4th NINE WEEKS Suggested Key Time Objectives Essential Questions Resources Writing Vocabulary Frame + 5 days to 8.2.01 Determine the 8.2.01 How do I determine the 8.2.01 length, width, base, height, radius, teach 8th effect on perimeter, effect on perimeter, area or diameter, circumference, *Give students a data set grade, goal volume then one or more area or volume when pi, π, polygon, prism, to analyze. Have them dimensions are changed? cube, cylinder 2 objectives one or more dimensions of two and write a short report of three dimensional 4.02 8.2.02 How do I use ratios, 8.2.02 similar figures, their analysis including * Week by Week Essentials corresponding parts, ratio, figures are changed. similar figures, and the use of mean, median, * p. 75 The Game Zone proportion, Pythagorean theorem to * Classroom Strategies p. 56 scale drawings, mode, and range. determine measurements that 8.2.02 Apply and use - 59 Pythagorean theorem are difficult or inconvenient to concepts of indirect find with direct measurement? Goal 4: Box and Whisker *A real estate guide lists the 4.03 “average” home prices for measurement. * Week by Week Essentials Plot, Quartile, Lower Quartile, First Quartile, counties in your state. Do 4.02 How do you create * Classroom Strategies p. 60 Middle you think the mean, different graphs of the same - 62 Quartile/Median, median, or mode would be * Glencoe Textbook Second Quartile, Upper data? the most useful average for *Blackline Masters (IV – 7, IV Quartile, Third Quartile, Minimum homebuyers? Explain your 4.02 Calculate, use, and interpret – 11, How do you determine all Value, answer. IV – 12, IV – 23) the mean, median, mode, range, measures of central * Indicators p.29 Maximum Value, Outlier, Range, *An alien is visiting your March 8 – 31 frequency distribution, and inter- tendency of a set of data? Inter-Quartile Range, quartile range for a set of data 4.04 Measures of Central classroom. Explain in detail Data Tendency, Mean, Median, how you would find the 4.03 When is it helpful to * Week by Week Essentials Distributions * Classroom Strategies p. 63 Mode, Frequency Table, mean, median, mode, and 4.03 Describe how the mean, use mean, median, and Interval, Histogram, range of the following data: & 64 median, mode, range, frequency mode? Stem and Leaf Plot, 5, 7, 8, 9, 9, 6, 3 distribution, and inter-quartile range Line Plot, Circle Graph, 4.05 Line Graph, of a set of data affect its graph. 4.04 What role do outliers * Week by Week Essentials Bar Graph *Explain why this statement play when choosing the best * Classroom Strategies p. 65 is false. Provide an example. 4.04 Identify outliers and determine measure of central tendency their effect on the mean, median, 4.01 You can reconstruct the to describe a data set? * Week by Week Essentials original data from a box- mode, and range of a set of data. * p. 73 Hands-On-Lab and-whisker plot. * Classroom Strategies p. 49 4.05 Solve problems involving two 4.05 What are some - 55 or more sets of data using examples of statistical data *Blackline Masters (IV – 17) appropriate statistical measures. * Indicators p.30,31 being used and misused? *Indicators p.32 *Blackline Masters (IV– 18 – 4.01 Collect, organize, analyze, and 4.01 How do you construct IV– 21, display data (including box plots and histograms? IV-28, IV-29) histograms) to solve problems. How would you compare and *Indicators p.33,34 contrast a histogram and a *Glencoe Textbook bar graph? * Blackline Masters (IV-1 – IV- 5, IV-14 – IV-16, IV-24 – IV- 27) *Indicators p.28 7th Grade Pre-Algebra Mathematics Curriculum Map Scotland County Schools 2009-10 4th NINE WEEKS Suggested Key Time Objectives Essential Questions Resources Writing Vocabulary Frame +5 days to 8.4.01 Collect, organize, analyze, 8.4.01 How do I collect, 8.4.01 coordinate plane, dependent teach 8th and display data (including organize, analyze, and variable, independent grade, goal scatterplots) to solve problems. display data? variable, trend line 4 objectives ,line of best fit, trend/correlation, 8.4.02 Approximate a line of positive correlation best fit for a given scatterplot; 8.4.02 How do I find the ,positive relationship, explain the meaning of the line as it line of best fit? negative correlation, relates to the problem and make negative relationship, no correlation, predictions. 8.4.03 How does misuse of no relationship, statistics, by the media, constant relationship 8.4.03 Identify misuses of statistical impact the public? and numerical data. 8.4.02 coordinate plane, dependent variable, independent variable, y-intercept, x-intercept, ordered pair, slope (rate of change), correlation/trend, positive correlation, positive relationship, negative correlation, negative relationship, no correlation, no relationship, constant relationship 8.4.03 measures of central tendency, Mean, median, mode, range, outlier, Sample representative, sample, biased sample, sample size, scale EOG MAY 24 – 28 (?)