Grade+7+Pre-Algebra

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** ||
 * Teachers **** : Theresa Coyle **
 * Textbook: ** Pre-Algebra, Holt, Rinehart and Winston, 2008
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 * **Obj #** || **Unit** || **Objective:**
 * 1 || Chapter 1, Section A & B || Write and evaluate algebraic expressions, combine like terms, solve one-step equations, solve and graph solutions of one-step inequalities, make and interpret graphs and tables, and make connections between linear functions or two-variable equations and graphs. || * MA 7.3.1.a Describe and create algebraic expressions from words, tables, and graphs

Section 1B quiz, Chapter 1 test, MAPS test, NeSA test ||
 * MA 7.3.1.b Use a variable to describe a situation with an inequality (e.g., one-step, one variable)
 * MA 7.3.1.c Recognize and generate equivalent forms of simple algebraic expressions
 * MA 7.3.2.a Model contextualized problems using various representations (e.g., one-step/variable expressions, one-step/variable equations)
 * MA 7.3.2.b Represent a variety of quantitative relationships using algebraic expressions and one-step equations || 16 || variable, coefficient, algebraic expression, constant, evaluate, substitute, equation, solve, solution, inverse operation, isolate the variable, Addition Property of Equality, Subtraction Property of Equality, Division Property of Equality, Multiplication Property of Equality, inequality, algebraic inequality, solution of an inequality, solution set, term, like term, equivalent expression, simplify, ordered pair, coordinate plane, x-axis, y-axis, x-coordinate, y-coordinate, origin, graph of an equation || Textbook || Assignments in textbook || Section 1A quiz,
 * 2 || Chapter 2, Section A & B || Add integers, subtract integers, multiply and divide integers, solve equations with integers, solve inequalities with integers, evaluate expressions with exponents, apply the properties of exponents and to evaluate the zero exponent, evaluate expressions with negative exponents, express large and small numbers in scientific notation. || MA 7.1.1.c Represent large numbers using scientific notation

> MA 8.3.3.b Evaluate numerical expressions containing whole number exponents (e.g., if x = 4, then (x + 3)2 + 5x = ?) || 16 || absolute value, base, exponent, exponential form, integer, opposite, power, scientific notation || Textbook || Assignments in textbook || Section 2A quiz, Section 2B quiz, Chapter 2 test, MAPS test, NeSA test || > MA 8.1.1.d Classify numbers as natural, whole, integer, rational, irrational, or real || 17 || density property, irrational number, perfect square, principal square root, rational number, real number, reciprocal, relatively prime. || Textbook || Assignments in textbook || Section 3A quiz, Section 3B quiz, Chapter 3 test, MAPS test, NeSA test ||
 * MA 7.1.2.c Use drawings, words, and symbols to explain the addition and subtraction of integers
 * MA 7.1.3.a Compute accurately with integers
 * MA 7.1.3.b Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)
 * 3 || Chapter 3, Section A & B || Write rational numbers in equivalent forms, add and subtract decimals and rational numbers with like denominators, multiply fractions, mixed numbers and decimals, divide fractions and decimals, add and subtract fractions with unlike denominators, solve equations with rational numbers, solve inequalities with rational numbers, find square roots, estimate square roots to a given number of decimal places and solve problems using square roots, determine if a number is rational or irrational. || * MA 7.1.1.a Show equivalence among fractions, decimals, and percents
 * MA 7.1.1.b Compare and order rational numbers (e.g., fractions, decimals, percents)
 * MA 7.1.2.a Use drawings, words, and symbols to explain the meaning of multiplication and division of fractions (e.g., 2/3 x 6 as two-thirds of six, or 6 x 2/3 as 6 groups of two-thirds, or 6 ÷ 2/3 as how many two-thirds there are in six.)
 * MA 7.1.2.b Use drawings, words, and symbols to explain the meaning of multiplication and division of decimals
 * MA 8.1.3.c Calculate squares of integers, the square roots of perfect squares, and the square roots of whole numbers using technology
 * 4 || Chapter 4, Section A & B || Recognize biased samples and to identify sampling methods, organize data in tables and stem-and-leaf plots, find appropriate measures of central tendency, find measures of variability, display data in bar graphs, histograms, and line graphs, recognize misleading graphs and statistics, create and interpret scatter plots, || ** MA 7.4.1 Display and Analysis: Students will formulate questions that can be addressed with data and then organize, display, and analyze the relevant data to answer their questions. **


 * MA 7.4.1.a Analyze data sets and interpret their graphical representations
 * MA 7.4.1.b Find and interpret mean, median, mode, and range for sets of data
 * MA 7.4.1.c Explain the difference between a population and a sample
 * MA 7.4.1.d List biases that may be created by various data collection processes
 * MA 7.4.1.e Formulate a question about a characteristic within one population that can be answered by simulation or a survey


 * MA 7.4.2 Predictions and Inferences: Students will evaluate predictions and make inferences based on data. **

Chapter 4 test, MAPS test, NeSA test || Chapter 5 test, MAPS test, NeSA test ||
 * MA 7.4.2.a Determine if data collected from a sample can be used to make predictions about a population || 14 || back-to-back stem-and-leaf plot, bar graph, biased sample, box-and-whisker plot, correlation, frequency table, histogram, line graph, line of best fit, mean, median, mode, outlier, population, quartile, random sample, range, sample, scatter plot, stem-and-leaf plot, stratified sample, systematic sample, variability. || Textbook || Assignments in textbook || Section 4A quiz, Section 4B quiz,
 * 5 || Chapter 5, Section A & B || Classify and name figures, identify parallel and perpendicular lines and the angles formed by a transversal, find unknown angles in triangles, classify and find angles in polygons, identify polygons in the coordinate plane, use properties of congruent figures to solve problems, transform plane figures using translations, rotations, and reflections, identify symmetry in figures, predict and verify patterns involving tessellations. || * MA 7.2.1.a Identify and describe similarity of two-dimensional shapes using side and angle measurements
 * MA 7.2.1.b Name line, line segment, ray, and angle
 * MA 7.2.3.a Identify lines of symmetry for a reflection
 * MA 7.2.3.b Perform and describe positions and orientation of shapes under a single transformation (e.g., translation, rotation, reflection) on a coordinate plane
 * MA 8.2.1.c Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., perpendicular and parallel lines with transversals) and angles (e.g., corresponding, alternate interior, alternate exterior)
 * MA 8.2.1.d Identify pairs of angles (e.g., adjacent, complementary, supplementary, vertical)
 * MA 8.2.1.e Examine the relationships of the interior angles of a triangle (e.g., the sum of the angles is 180 degrees) || 16 || acute angle, acute triangle, angle center of rotation, complementary angles, congruent, correspondence, equilateral triangle, image isosceles triangle, line line of symmetry, line symmetry, obtuse angle, obtuse triangle, parallel lines, parallelogram, perpendicular lines, plane, point, polygon, ray, rectangle, reflection, regular polygon, regular tessellation, rhombus, right angle, right triangle, rise, rotation, rotational symmetry, run, scalene triangle, segment, semi-regular tessellation, slope, square, supplementary angles, tessellation, transformation, translation, transversal, trapezoid, Triangle Sum Theorem, vertical angles. || Textbook || Assignments in textbook || Section 5A quiz, Section 5B quiz,
 * 6 || Chapter 6, Section A & B || Find the perimeter and area of rectangles and parallelograms, find the area of triangles and trapezoids, use the Pythagorean Theorem and its converse to solve problems, find the area and circumference of circles, draw and identify parts of three-dimensional figures, find the volume of prisms and cylinders, find the volume of pyramids and cones, find the surface area of prisms and cylinders, find the surface area of pyramids and cones, find the volume and surface area of spheres, || MA 7.2.5.b Determine the area of trapezoids and circles, and the circumference of circles

Chapter 6 test, MAPS test, NeSA test || Chapter 7 test, MAPS test, NeSA test || Chapter 8 test, MAPS test, NeSA test || Chapter 9 test, MAPS test, NeSA test || Chapter 10 test, MAPS test, NeSA test ||
 * MA 8.2.5.a Use strategies to find the perimeter and area of complex shapes
 * MA 8.2.5.b Determine surface area and volume of three-dimensional objects (e.g., rectangular prisms, cylinders)
 * MA 8.2.5.c Apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems || 17 || area, circle, circumference, cone, cylinder, diameter, edge, face, great circle, hemisphere, horizon line, hypotenuse, lateral face, lateral surface, leg, perimeter, perspective, prism, pyramid, Pythagorean Theorem, radius, regular pyramid, right cone, slant height, sphere, surface area, vanishing point, vertex. || Textbook || Assignments in textbook || Section 6A quiz, Section 6B quiz,
 * 7 || Chapter 7, Section A & B || Find equivalent ratios to create proportions, work with rates and ratios, use one or more conversion factors to solve rate problems, solve proportions, identify and create dilations of plane figures, determine whether figures are similar, to use scale factors, and to find missing dimensions in similar figures, make comparisons between and find dimensions of scale drawings and actual objects, make comparisons between and find dimensions of scale models and actual objects, make scale models of solid figures. || * MA 8.2.3.a Identify the similarity of dilated shapes
 * MA 8.2.3.b Perform and describe positions and sizes of shapes under dilations (e.g., scale factor, ratios)
 * MA 8.2.5.d Use scale factors to find missing lengths in similar shapes || 16 || capacity, center of dilation, conversion factor, cross product, dilation, enlargement, equivalent ratio, proportion, rate, ratio, reduction, scale, scale drawing, scale factor, scale model, similar, unit price, unit rate || Textbook || Assignments in textbook || Section 7A quiz, Section 7B quiz,
 * 8 || Chapter 8, Section A & B || Relate decimals, fractions, and percents, find percents, find a number when the percent is known, find percent increase and decrease, estimate with percents, find commission, sales tax, and withholding tax, compute simple interest. || * MA 7.1.1.a Show equivalence among fractions, decimals, and percents
 * MA 7.1.1.b Compare and order rational numbers (e.g., fractions, decimals, percents)
 * MA 7.1.3.c Solve problems involving percent of numbers (e.g., percent of, % increase, % decrease) || 14 || commission, commission rate, compatible numbers, estimate, interest, percent, percent change, percent decrease, percent increase, principal, rate of interest, sales tax, simple interest, withholding tax. || Textbook || Assignments in textbook || Section 8A quiz, Section 8B quiz,
 * 9 || Chapter 9, Section A & B || Find the probability of an event by using the definition of probability, estimate probability using experimental methods, use a simulation to estimate probability, estimate probability using theoretical methods, find the number of possible outcomes in an experiment, find the permutations and combinations, find the probabilities of independent and dependent events, convert between probabilities and odds. || * MA 7.4.3.a Find the probability of independent compound events (e.g., tree diagram, organized list)
 * MA 7.4.3.b Compare and contrast theoretical and experimental probabilities
 * MA 8.4.3.a Identify complementary events and calculate their probabilities
 * MA 8.4.3.b Compute probabilities for independent compound events || 15 || certain, combination, dependent events, equally likely, event, experiment, experimental probability, factorial, fair, Fundamental Counting Principle, impossible, independent events, mutually exclusive, odds against, odds in favor, outcome, permutation, probability, random numbers, sample space, simulation, theoretical probability, tree diagram, trial. || Textbook || Assignments in textbook || Section 9A quiz, Section 9B quiz,
 * 10 || Chapter 10, Section A & B || Solve two-step equations, solve multistep equations, solve equations with variables on both sides of the equal sign, solve two-step inequalities and graph the solutions of an inequality on a number line, solve an equation for a variable, solve systems of equations. || MA 8.3.1.b Describe relationships using algebraic expressions, equations, and inequalities (e.g., two-step, one variable)
 * MA 8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
 * MA 8.3.2.b Represent a variety of quantitative relationships using algebraic expressions and two-step/one variable equations
 * MA 8.3.3.c Solve multi-step equations involving rational numbers
 * MA 8.3.3.d Solve two-step inequalities involving rational numbers
 * MA 8.3.3.e Identify and explain the properties used in solving two-step inequalities and multi-step equations || 13 || solution of a system of equations, system of equations. || Textbook || Assignments in textbook || Section 10A quiz, Section 10B quiz,
 * 11 || Chapter 11, Section A & B || Identify and graph linear equations, find the slope of a line and use slope to understand and draw graphs, use slopes and intercepts to graph linear equations, find the equation of a line given one point and the slope, recognize direct variation by graphing tables of data and checking for constant ratios, graph inequalities on the coordinate plane, recognize relationships in data and find the equation of a line of best fit. || MA 8.3.1.a Represent and analyze a variety of patterns with tables, graphs, words, and algebraic equations

MA 8.3.1.c Identify constant slope from tables and graphs || 14 || boundary line, constant of proportionality, direct variation, linear equation, linear inequality, point-slope form, slope-intercept form, x-intercept, y-intercept. || Textbook || Assignments in textbook || Section 11A quiz, Section 11B quiz, Chapter 11 test, MAPS test, NeSA test ||