EIGHTH GRADE. Revised June Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell Middle School Math 2004

Transcription

1 EIGHTH GRADE June 2010 Billings Public Schools Correlation Guide Math - McDougal Littell Middle School Math 2004 (Chapter Order: 1, 4, 3, 6, 7, 8, 9, 11, 12)

2 Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Chapter 1 Number Operations & Chapter 4 Factors, Fractions, Exponents 17 days Page 14 (1 day) Evaluate Order of Operations Using a Calculator Lesson 1.3 (1 day) Variables Expressions Lesson 1.4 (1 day) Powers Exponents Quiz (1 day) Lesson 4.6 (3 days) Rules of Exponents Use a calculator to evaluate numeric expressions involving order of operations check reasonableness with appropriate estimation strategies. Use a calculator to evaluate numeric expressions involving order of operations check reasonableness with appropriate estimation strategies. Evaluate numeric expressions including nested parentheses, exponents, other grouping symbols. (I, D, E, A) Evaluate numeric expressions including nested parentheses, exponents, other grouping symbols. (I, D, E, A) Read, write, compare numbers using integer exponents scientific notation. (I, D, E, A) Evaluate numeric expressions including nested parentheses, exponents, other grouping symbols. (I, D, E, A) Focus on showing work checking with a calculator Exponent BINGO Lesson 1.2 from the Algebra Activity Generator Punch Bridge pg

3 Chapter 1 Number Operations & Chapter 4 Factors, Fractions, Exponents 17 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 4.7 (3 days) Negative Zero Exponents Lesson 4.8 (3 days) Scientific Notation Page 209 (1 day) Read, write, compare numbers using integer exponents scientific notation. (I, D, E, A) Evaluate numeric expressions including nested parentheses, exponents, other grouping symbols. (I, D, E, A) Read, write, compare numbers using integer exponents scientific notation. (I, D, E, A) Read, write, compare numbers using integer exponents scientific notation. (I, D, E, A) Use a calculator to evaluate numeric expressions involving order of operations check reasonableness with appropriate estimation strategies. Punch Bridge pg Algebra with Pizzazz Pre-Algebra Pg & pg. 175 Punch Bridge pg

4 Chapter 3 Solving Equations Inequalities 15 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 2.7 (2 days) The Distributive Property *Review properties from Lesson 2.6 Lesson 13.3 (3 days) Monomials Powers From Course 3 Activity Generator Lesson 3.3 (5 days) Solving Two-Step Equations Lesson 3.4 (2 days) Writing Two-Step Equations From Course 3 Activity Generator Generate equivalent forms of algebraic expressions including those involving like terms justify each step with properties of operations. (I, D, E, A) Read, write, compare numbers using integer exponents scientific notation. (I, D, E, A) Evaluate numeric expressions including nested parentheses, exponents, other grouping symbols. (I, D, E, A) Generate equivalent forms of algebraic expressions including those involving like terms justify each step with properties of operations. (I, D, E, A) Apply number theory concepts such as prime factorization, greatest common factor, least common multiple to solve problems. (A) Solve multi-step linear equations incorporating multiple grouping symbols check the reasonableness of the solution. (I, D, E, A) Apply number theory concepts such as prime factorization, greatest common factor, least common multiple to solve problems. (A) Solve multi-step linear equations incorporating multiple grouping symbols check the reasonableness of the solution. (I, D, E, A) Punch Algebra A pg. 320 Course 3 Activity Generator Lesson 13.3 Solving Two-Step Equation Algeblock Lesson Course 3 Activity Generator Lesson 3.4 4

5 Chapter 6 Multi-Step Equations Inequalities 22 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 6.1 (4 days) Solving Multi-Step Equations Lesson 6.2 (2 days) Solving Equations with Variables on Both Sides Lesson 4.1, 4.2, & 4.4 (2 days) Factors, Prime Factorization, GCF LCM Focus on Monomials Lesson 6.3 (3 days) Solving Equations Involving Fractions Decimals Quiz (1 day) Lesson 6.4 (1 day) Solving Equations Involving Circumference Focus on Direct Variation Solve multi-step linear equations incorporating multiple grouping symbols check the reasonableness of the solution. (I, D, E, A) Generate equivalent forms of algebraic expressions including those involving like terms justify each step with properties of operations. (I, D, E, A) Solve multi-step linear equations incorporating multiple grouping symbols check the reasonableness of the solution. (I, D, E, A) Generate equivalent forms of algebraic expressions including those involving like terms justify each step with properties of operations. (I, D, E, A) Apply number theory concepts such as prime factorization, greatest common factor, least common multiple to solve problems. (A) Solve multi-step linear equations incorporating multiple grouping symbols check the reasonableness of the solution. (I, D, E, A) Generate equivalent forms of algebraic expressions including those involving like terms justify each step with properties of operations. (I, D, E, A) Model solve contextual problems involving linear proportions or direct variation using cultural contexts, including those of Montana American Indians. (I, D, E, A) Activity Generator 6.1 Level C Activity Generator 6.2 Activity Generator 6.3 Level B Optional Activity Generator 6.4 5

6 Chapter 6 Multi-Step Equations Inequalities 22 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 6.5 (3 days) Solving Multi-Step Inequalities Lesson 6.6 (3 days) Problem Solving Inequalities Use properties of numbers inverse operations to solve multi-step linear inequalities in one variable, graph the solution on a number line check the reasonableness of the solution (ie. associative, commutative, distributive, identity, inverse). (I, D, E, A) Use properties of numbers inverse operations to solve multi-step linear inequalities in one variable, graph the solution on a number line check the reasonableness of the solution (ie. associative, commutative, distributive, identity, inverse). (I, D, E, A) Review with Activity Generator 3.6 Optional Activity Generator Brain Game Activity Generator 6.6 Level C 6

7 Chapter 7 Ratio, Proportion, Percent 10 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 7.1 (2 days) Ratio Rates Lesson 7.2 (5 days) Writing Solving Proportions s Use rates to justify conversions between units of measure (e.g., convert miles/hour to feet/second). (E, A) s Use proportions to solve contextual problems including similarity congruence. Rewrite a proportion as a direct variation equation to model a real world situation. (I, D, E, A) Worksheet Fun Dimensional Analysis Pre-algebra Activity Generator 6.2 All Levels Punch Problem Solving pgs

8 Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Chapter 8 Polygons Transformations 18 days Lesson 8.1 (5 days) Angle Pairs Lesson 8.2 (1 day) Angles Triangles Formula for Area of a Regular Polygon (3 days) Lesson 8.5 (2 days) Congruent Polygons Lesson 8.8 (4 days) Similarity Dilations Name describe the basic objects of plane geometry. (D, E, A) Describe define the angles created by intersecting rays, intersecting lines, parallel lines cut by transversals. (I, D, E, A) Use attributes of angles created by intersecting lines parallel lines cut by transversals to solve problems involving missing sides or angles. (I, D, E, A) Develop justify the theorem for the sum of the interior angles of a triangle equaling 180º the exterior angles of a triangle. (I, D, E, A) Develop justify a formula (informal or formal) for area of regular polygons (e.g., decompose a regular polygon into congruent isosceles triangles). (I, D, E, A) Justify congruency of figures using sides angle relationships. (I, D, E, A) Justify similarity of figures using proportional reasoning angle relationships. (I, D, E, A) Define, identify execute a dilation with without technology. (I, D, E, A) Need a supplemental activity for naming points, rays, lines, line segments, planes-possibly use GeoGebra Punchline Bridge pgs Need a supplemental lesson for developing the area formula for a regular polygon GeoGebra Punch Problem Solving pg. 108 Pre-Algebra Lesson 13.7 Course 3 Activity Generator 8.8 8

9 Chapter 9 Real Numbers Right Triangles 17 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 9.1 (2 days) Square Roots Lesson 9.2 (1 day) Rational Irrational Numbers Lesson 9.3 (3 days) The Pythagorean Theorem Lesson 9.4 (2 days) Using the Pythagorean Theorem Quiz (1day) Compare, order, graph rational numbers on a number line. Compare, order, graph rational numbers on a number line. Make a logical argument for the Pythagorean Theorem its converse. (e.g., decompose a square in two different ways). (I, D, E, A) Make a logical argument for the Pythagorean Theorem its converse. (e.g., decompose a square in two different ways). (I, D, E, A) Memorize the perfect squares to 625 cubes to 1000 Punch Bridge pg Course 3 Activity Generator 9.4 Pg. 449: 1-5 Punch Bridge #116 Surface Area & Volume of Solids Using Pythagorean Theorem (5 days) Use Pythagorean Theorem to find a missing side of right triangles to calculate perimeter, area, surface area volume, label with appropriate units. (I, D, E, A) Need supplementary lesson for finding the perimeter, area, surface area volume of figures 9

10 Chapter 11 Linear Equations Graphs 29 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Pgs (2 days) Lesson 11.3 (2 days) Equations in Two Variables Lesson 11.4 (2 days) Graphs of Linear Functions Lesson 11.5 (2 days) Using Intercepts Quiz (1 day) Lesson 11.6 (3 days) Slope Lesson 11.7 (4 days) Slope-Intercept Form Review Create use multiple representations (tables, graphs, verbal descriptions, symbolic expressions) of data to generalize the patterns make connections among all representations. (A) Create use multiple representations (tables, graphs, verbal descriptions, symbolic expressions) of data to generalize the patterns make connections among all representations. (A) Identify the properties (slope, intercepts, continuity, discreteness) of linear relationships using multiple representations. (I, D, E, A) Determine the slope, x-intercept, y-intercept of a line given its graph, equation, or two points on the line. (I, D, E, A) Determine the slope, x-intercept, y-intercept of a line given its graph, equation, or two points on the line. (I, D, E, A) Determine the slope, x-intercept, y-intercept of a line given its graph, equation, or two points on the line. (I, D, E, A) What s My Line 10

11 Chapter 11 Linear Equations Graphs 29 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Pg. 581 (2 days) Lesson 11.1 (1 day) Relations Functions Lesson 13.5 (3 days) Non-Linear Functions Linear Regression (4 days) Identify the solution to a system of linear equations by determining whether the lines are parallel, intersecting, or the same line. (I, D, E, A) Determine from a set of ordered pairs, a table, graph, or a rule whether a relation is a function. (I, D, E, A) Compare contrast the properties of functional non-functional relations using technology when appropriate. (I, D, E, A) Compare contrast the properties of linear non-linear relationships using technology when appropriate. (I, D, E, A) Data Analysis Mathematics Estimate the line of best fit on a scatter plot to make decisions predictions about data within daily life, scientific, cultural contexts, including those of Montana American Indians. (I, D, E, A) Need supplements for graphing Punch Algebra 8.1 Pre-Algebra Activity Generator 8.8 Activity Generator 13.5 Level B Pg. 685 Need supplemental lesson for linear regression with a calculator 11

12 Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Chapter 12 Analyzing Mean, Median Data Analysis Mathematics Need a supplemental lesson for Data Analysis Mode (3 days) Compare analyze the strengths limitations of analyzing mean, median using each descriptive statistical measure mode Probability evaluate how changes in data affect those statistics. Punch Bridge pg days Lesson 12.2 (3 days) Box--Whisker Plots Quiz (1 day) Data Analysis Mathematics Collect, organize, represent univariate data in box plots. (I, D, E, A) Describe interpret a box plot using the 5 # summary, the interquartile range, percentiles. (I, D, E, A) Compare analyze the data represented in two or more parallel box plots. (I, D, E, A) Math Counts Algebra Notetaking Guide 6.7 Lesson 12.3 (5 days) Using Data Displays (Do by paper/pencil with technology) Algebra Textbook pg. 835 (3 days) Data Analysis Mathematics Create justify the appropriate visual representation for given data sets from science, history, culture, including those of Montana American Indians with without technology. (A) Compare analyze the strengths limitations of using each descriptive statistical measure evaluate how changes in data affect those statistics. Identify misleading presentations of data found in the media predict the effects of conclusions drawn. Data Analysis Mathematics Describe apply the addition rule for probabilities of events that are mutually exclusive for events that are not mutually exclusive. (I, D, E, A) Pre-Algebra Activity Generator 11.3 Create graphs where data is shown as accurate information as misleading information Pg also include box plots Pre-Algebra Lesson

13 Chapter 12 Data Analysis Probability 21 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Pg (3 days) Data Analysis Mathematics Create test conjectures made from the results of experiments simulations using experimental theoretical probabilities from scientific cultural events, including those of Montana American Indians. Simulations SKUNK-NCTM Illuminations Lottery Pre-Algebra Activity Generator