Comal Independent School District Math Models Scope and Sequence First Quarter Assurances

Transcription

1 Comal Independent School District Math Models Scope and Sequence First Quarter Assurances The student will use their graphing calculator to evaluate different types of numerical expressions including those with exponents, fractions, square roots, and absolute value symbols. The student will evaluate different types of algebraic expressions including linear, quadratic, polynomial, square root, and absolute value. The student will solve multi-step equations including those with variables on both sides The student will solve real world problems using linear equations The student will solve literal equations for specified variables The student will use proportions to solve real world problems including examples from art, architecture, and geometry The student will use percents to solve real world problems involving finance The student will graph equations of lines by using a table of values The student will graph equations of lines using the intercepts The student will graph equations of lines using the slope and y-intercept The student will understand that slope is a rate of change The student will find slope from tables, graphs, equations and 2 points The student will identify and sketch the linear parent function The student will understand the effects of changing m and b on y = mx + b Math Models Page 1 of 6 Rev. July 2010

2 Math Models Scope and Sequence First Quarter Vocabulary Unit 1: Review of Algebra Concepts Absolute Value Additive Inverse (opposite) Distributive Property Equivalent Equations Extremes Integers Irrational Numbers Mathematical Model Means Natural Numbers (counting numbers) Number Line Order of Operations Percent Proportion Rate Ratio Rational Numbers Real Numbers Square Root Unit Rate Whole Numbers Unit 2: Graphing Boundary Line Coordinate General Form Horizontal Line Linear Equation Linear Inequalities Origin Parallel Lines Perpendicular Lines Quadrant Rectangular Coordinate System Slope Slope-Intercept Form Solutions Vertical Line x-axis y-axis x-coordinate y-coordinate x-intercept y-intercept Math Models Page 2 of 6 Rev. July 2010

3 Math Models Scope and Sequence First Quarter Concept Foundational Topic TEKS Statement Specificity Unit One Review of Algebra I Concepts Mathematical Models The student uses a variety of strategies and approaches to solve both routine and nonroutine problems (M.1B) Use multiple approaches (algebraic, graphical, and geometric methods) to solve problems from a variety of disciplines The student will construct mathematical models (equations, graphs, charts, and tables) to represent important features of various situations Ch. 1 Section 1 1) Lab Exercise 1 (Teacher Resource Binder, TRB) 2) Math Public Folder in the Public Drive (Math Models Folder) Real Numbers and Mathematical Operations The student uses algebraic and geometric models to represent patterns and structures (M.9A) Use geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in art and architecture The student will review the real number system, algebraic properties, order of operations, and perform operations with real numbers Ch. 1 Section 2 Calculator Activity 1 day Solving Linear Equations The student will use the order of operations, properties of equality and the distributive property to solve algebraic equations Ch. 1 Section 3 Lab Exercise 5 (TRB) 3 days Formulas The student uses algebraic and geometric models to describe situations and solve problems. (M.8B) Use trigonometric ratios and functions available through technology to calculate distances and model periodic motion The student will solve real world problems involving formulas Ch. 1 Section 4 Lab Exercise 6 (TRB) Math Models Page 3 of 6 Rev. July 2010

4 Concept Foundational Topic TEKS Statement Specificity Ratio and Proportion The student uses functional relationships to solve problems related to personal income (M.1A) Compare and analyze various methods for solving a real-life problem (M.1C) Select a method to solve a problem, defend the method, and justify the reasonableness of the results (M.5A) Use rates, linear functions, and direct variation to solve problems involving personal finance and budgeting, including compensations and deductions The student will write ratios to represent various situations; write and solve proportions for real-world scenarios Ch. 1 Section 5 Lab Exercise 3 parts a-d (TRB) Percents (M.5B) Solve problems involving personal taxes The student will convert percents to decimals and fractions; use proportion to solve percent problems; solve various percent problems including percent of increase and decrease Ch. 1 Section 6 Lab Exercise 4 (TRB) Word Problem Strategies (M.1A) See above (M.1C) See above The student will employ problem solving strategies to model and solve a variety of word problems Ch. 1 Section 7 1) Supplemental Lab #1 (TRB) Supplemental Lab #2 (TRB) Lab Presentations 6 days 2) Chapter 1B (workbook) Chapter 1 Test Math Models Page 4 of 6 Rev. July 2010

5 Concept Foundational Topic TEKS Statement Specificity Unit 2: Graphing Rectangular Coordinate System The student uses graphical and numerical techniques to study patterns and analyze data (M.2A) Interpret information from various graphs, including line graphs, bar graphs, circle graphs, histograms, scatterplots, line plots, stem and leaf plots, and box and whisker plots to draw conclusions from the data (M.2C) analyze graphs from journals, newspapers, and other sources to determine the validity of stated arguments The student will plot points on a rectangular coordinate system; identify coordinates of points; and find solutions to linear equations given specific domain and range values Ch. 2 Section 1 Supplemental Lab #1 (TRB) Graphing Linear Equations (M.2A) See above (M.2C) See above The student will graph linear equations by plotting points and by determining and using the x-intercept and y-intercept Ch. 2 Section 2 Lab Exercise 4 (TRB) Slope (M.2B) See above (M.2C) See above The student will determine slopes of lines from graphs, use the slope formula to calculate slopes of lines given two points, and graph lines using a given point and slope Ch. 2 Section 3 Lab Exercise 1 (TRB) 4 days Writing Equations of Lines The student will write linear equations in general form, slope-intercept form and point-slope form, including equations for horizontal, vertical, parallel and perpendicular lines Ch. 2 Section 4 Lab Exercise 3 (TRB) 4 days Math Models Page 5 of 6 Rev. July 2010

6 Concept Foundational Topic TEKS Statement Specificity Linear Inequalities The student will graph linear inequalities in one variable Ch. 2 Section 5 Lab Exercise 2 (TRB) Lab Exercise 5 (TRB) Lab Presentations 5 days First Quarter Review The student will review 1 st Quarter TEKS and various objectives for a First Quarter Curriculum Based Assessment (CBA) Math Models Page 6 of 6 Rev. July 2010