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101 Algebra 1 Lessons

on Oct 25, 2009

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101 Algebra 1 LessonsDocument Transcript

• Getting started - Notebooks & Calculators Lesson Assignment A. Organizing our notebooks Make any pages you still need -Section 1 – General Information Notebook Title Page Frequently Asked Questions Table of Contents Syllabus (available from Mrs. Griffin) School Calendar Test Data Formulas Problem Solving Strategies Portfolio Items Notebook Rubric -Section 2 – Tech Manual Section Cover Sheet Calculator Picture Common Calculator Errors B. What do I do with this TI 84? Handout (PDF)
• Unit 1 – Number Theory Lesson Assignment Unit 1 Cover Page – Section 3 of notebook Make a cover page for the unit with all of the lessons listed. Unit 1 Vocabulary Mean Variable Absolute value Reciprocal Median Variable Expression Integers Event Mode Base Opposite Experimental probability Range Evaluate Irrational numbers Simulation Quartile Exponent Rational numbers Entry Equation Order of operations Real numbers Matrix Term A. Mean, median, mode, quartiles, range on graphing calculator Handout (PDF) Obj: Calculate mean, median, mode, range, quartiles B. Identify & assign variables (sec 1.2) sec 1.2 #1-4 & 8-18 Obj: Identify and assign variables in algebraic problems. C. Order of operations (sec 1.3) sec 1.3 #2-12 & 16-22 Obj: Follow order of operations. BI: God is a God of order. Gal 4:4; order of creation story. D. Add & subtract Integers (sec 1.4) sec 1.4 #14-28 & 40-54 Obj: Perform operations with real numbers. E. Multiply & divide integers (sec 1.5) sec 1.5 #2-16 & 20-30 Obj: Perform operations with real numbers. F. Add, subtract, multiply & divide rational numbers (sec 1.6) sec 1.6 #13-24 Obj: Perform operations with real numbers. G. Properties of real numbers Handout Obj: Identify and use properties of real numbers. BI: God has many properties that are unchanging. Ps. 110:4 God will not change His mind. Mal 3:6 “I, the Lord, do not change.” H. Probability & simulations (sec 1.7) sec 1.7 #1-28 all Obj: Determine the probability of a simple event. I. Add & Subtract Matrices sec 1.8 #2-16 & 24-26 Multiply Matrices (sec 1.8) Obj: Organize and manipulate data in matrices. Review Chapter 1 Assessment all problems Notebook due on test day Test Problems assigned from text
• Unit 2 - Functions & Their Graphs Lesson Assignment Unit 2 Cover Page - Section 4 of Notebook Make a cover page for the unit with all of the lessons listed. Unit 2 Vocabulary Scatter plot Discrete data Vertical-line test Outcomes Trend line Relation Function notation Theoretical probability Positive correlation Function Families of functions Impossible event Negative correlation Function rule Linear functions Certain event No correlation Domain Quadratic functions Complement of an event Continuous data Range Absolute value functions Sample space Tree diagram A. Understanding the coordinate plane Handout Obj. Identify parts of and plot points on the coordinate plane BI: Origin B. Basic scatter plots (sec 2.1) sec 2.1 #1-18 &20-30 Obj: Identify the dependent and independent variables of a linear function C. Relating graphs to events (sec 2.2) sec 2.2 #1-19 Obj: Identify the dependent and independent variables of a linear function D. Linking graphs to tables (sec 2.3) sec 2.3 #1-14 Obj: Identify the dependent and independent variables of a linear function BI: Input determines output – sowing & reaping E. Relations & functions (sec 2.4) sec 2.4 #1-21 & 25-36 Obj: Distinguish between relations & functions BI: God is Holy. 1 Peter 1:16, Psalms 101:3 F. Writing a function rule (sec 2.5) sec 2.5 #12-14; 26-29; 40-43 (write Obj: Identify domain & range in addition to the independent and rules only for 40-43. Don't graph.) dependent variables. BI: God gives us rules to live by G. Writing a function rule using a graphing calculator sec 2.5 #12-14; 26-29; 40-43 (write Obj: Identify domain & range in addition to the independent and rules only for 40-43. Don't graph.) dependent variables. H. Graphing functions (sec 2.6) sec 2.6 #2-8 & 12-26 Obj: Identify domain & range in addition to the independent and dependent variables. I. Introduction to functions we will study this year (sec 2.7) sec 2.7 #2-12 & 20-32 Obj: Recognize, compare, & contrast four basic function models. J. Probability formula (sec 2.8) sec 2.8 #1-9, 23-38 Obj: Determine the probability of a simple event. Review Chapter 2 Assessment #1-21 Notebook due on test day Test
• Unit 3 - Algebraic Concepts & Simple Equations Lesson Assignment Unit 3 Cover Page – Section 5 of Notebook Make a cover page for the unit with all of the lessons listed. Unit 3 Vocabulary Solutions Two-step equation Constant term Simple interest Inverse operations Calculator-ready form Distributive property Percent of change Equivalent equations Coefficient Independent events Percent of increase Properties of equality Like terms Dependent events Percent of decrease A. Solving one-step equations (sec 3.1) sec 3.1 #1-31 Obj: Solve equations containing integers B. Solving two-step equations (sec 3.2) sec 3.2 #12-23; 27-46 Obj: Solve equations containing integers C. Combining like terms (sec 3.3) sec 3.3 #3-10; 14-21; 26-39 Obj: Combine like terms to solve equations D. Using the distributive property (sec 3.4) sec 3.4 #6-17 & 21-36 Obj: Use the Distributive Property to solve equations E. Solving equations containing rational numbers (sec 3.5) sec 3.5 1-8; 10-33; 39-54 odds Obj: Solve equations containing rational numbers. F. Using probability (sec 3.6) sec 3.6 #1-23, 30-37 Obj: Determine the probability of a simple event. G. Percent equations (sec 3.7) sec 3.7 #3-45 Obj: Calculate percent & percent of change BI: Fractions/Percent/Decimals – God is Trinity H. Percent of change (sec 3.8) sec 3.8 #3-42 skip 21 & 36 Obj: Calculate percent & percent of change Review Chapter 3 Assessment #1-25 Notebook due on test day Test
• Unit 4 - Equations & Inequalities Lesson Assignment Unit 4 Cover Page - Section 6 of Notebook Make a cover page for the unit with all of the lessons listed. Unit 4 Vocabulary Ratio Similar figures Literal equation Compound inequalities Scale No solution Solution of the inequality Absolute value Proportion Identity Equivalent inequalities Replacement set Cross products A. Using proportions (sec 4.1) sec 4.1 #1-6, 28-35 Obj: Determine missing numbers in proportions B. Similar figures Handout Obj: Determine the length of corresponding sides in similar figures C. Solving equations with variables on both sides (sec 4.2) sec 4.2 #22-30; 32, 33, 35 Obj: Solve equations containing integers & rational numbers D. Solving absolute value equations (sec 4.3) sec 4.3 #11-22 Obj: Solve absolute value equations with one variable p564 #14-28 E. Literal equations (sec 4.4) sec 4.4 #1-8, 10-21 Obj: Manipulate literal equations to solve for a given variable F. Solving one-step inequalities (sec 4.5 & 4.6) sec 4.5 #25-47 odds Obj: Solve & graph inequalities sec 4.6 #32-43 BI: Explain how areas of our lives overlap G. Solving multi-step inequalities (sec 4.7) sec 4.7 #17-37 odds Obj: Solve & graph inequalities H. Solving compound inequalities (sec 4.8) sec 4.8 #13-23 Obj: Solve & graph inequalities I. solving absolute value inequalities (sec 4.8) sec 4.8 #29-44 Obj: Solve & graph inequalities BI: God is consistent. God has no opposites. J. Interpreting solutions (sec 4.9) sec 4.9 #1-28 Obj: Determine if answers are reasonable Review Chapter 4 assessment Notebook due on test day Test
• Unit 5 - Graphing & Writing Linear Functions Lesson Assignment Unit 5 Cover Page - Section 7 of Notebook Make a cover page for the unit with all of the lessons listed. Unit 5 Vocabulary Slope Direct variation Line of best fit Parallel lines Rate of change Linear equation Correlation coefficient Perpendicular lines Linear function y-intercept x-intercept Break-even point Constant of variation Slope-intercept form Standard form A. Finding slope on a graph (sec 5.1) Handout Obj: Determine slope from graphs & points B. Slope formula (sec 5.1) sec 5.1 #3-8 Obj: Determine slope from graphs & points p570 #1-8 C. Graphing using a point & slope (sec 5.1) sec 5.1 #6-16 Obj: Determine slope from graphs & points p570 #9-16 D. Rates of change (sec 5.2) sec 5.2 #1-24 Obj: Calculate rate of change E. Direct variation (sec 5.3) sec 5.3 #1-33 odds Obj: Use the constant of variation to write equations F. Find slope intercept form (sec 5.4) sec 5.4 1-6, 11-18 (identify m & y-int Obj: Determine slope from graphs & points only), 19-20, 27-30 G. Graph using slope intercept form (sec 5.4) sec 5.4 7-9, 11-23, graph 19 & 20 Obj: Write linear equations in slope-intercept & standard forms H. Analyze linear families Handout Obj: Write equations for linear patterns. Review Chapter 5 Assessment #1-21 Notebook due on test day Test
• Unit 5 - Graphing & Writing Linear Functions -- Continued Lesson Assignment I. Slope intercept form from slope & a point (sec 5.5) sec 5.5 #1-12 Obj: Write linear equations given 2 points or slope & a point J. Slope intercept form from two points (sec 5.5) sec 5.5 # 14-22 Obj: Write linear equations given 2 points or slope & a point K. Best fit lines (sec 5.6) Handout Obj: Use technology to make scatter plot & find the best fit line. L. Standard form for linear equations (sec 5.7) sec 5.7 #1-29 odds Obj: Write linear equations in slope-intercept & standard forms M. Parallel Lines (sec 5.8) sec 5.8 #1-12, 41, 44, 45 Obj: Identify & write parallel and perpendicular equations N. Perpendicular Lines (sec 5.8) sec 5.8 #13-24, 37-39, 42, 43, 46 Obj: Identify & write parallel and perpendicular equations O. Using the x-intercept (sec 5.9) sec 5.9 #1-18 Obj: Use the x-intercept to solve a related problem P. Absolute value graphs Handout Obj: Graph absolute value functions. Identify the vertex & solutions. Review Chapter 5 Assessment #22-34 Notebook due on test day Test
• Unit 6 - Systems of Equations Lesson Assignment Unit 6 Cover Page Make a cover page for the unit with all of the lessons listed. Unit 6 Vocabulary Solution of the system Linear inequality System of linear equations Solution of the inequality Substitution Solution of a system of linear inequalities Elimination System of linear inequalities A. Solve systems by graphing (sec 6.1) sec 6.1 #16-24, 29-36 Obj: Solve linear systems BI: No accidental encounters. God has plans for us. B. Solve systems by substitution (sec 6.2) sec 6.2 #11-22 Obj: Solve linear systems BI: Substitutionary death of Christ C. Solve systems by eliminations (sec 6.3) sec 6.3 # 10-25 Obj: Solve linear systems BI: Elimination of sin debt Isaiah 43:25 D. Writing systems (sec 6.4) sec 6.4 #1-25 odds Obj: Solve linear systems E. Linear inequalities (sec 6.5) sec 6.5 #1-30 odds Obj: Graph linear inequalities with 2 variables F. Graphing inequalities on the graphing calculator sec 6.5 #1-30 odds Obj: Graph linear inequalities with 2 variables G. Systems of linear inequalities (sec 6.6) sec 6.6 #5-15 Obj: Solve systems of linear inequalities BI: All areas of our lives over lap H. Systems with nonlinear equations (sec 6.8) sec 6.8 #1-8, 20-31 Obj: Solve nonlinear systems Review Chapter 6 assessment Notebook due on test day Test