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101 Algebra 1 Lessons
 

101 Algebra 1 Lessons

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    101 Algebra 1 Lessons 101 Algebra 1 Lessons Document 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
    • Unit 7 - Quadratic Equations & Functions Lesson Assignment Unit 7 Cover Page Make a cover page for the unit with all of the lessons listed. Unit 7 Vocabulary Axis of symmetry Axis of symmetry Vertex Quadratic equation Parabola Parabola Negative square root Quadratic formula Quadratic function Quadratic function Principle square root Vertical motion formula Standard form of quadratic Maximum value Square root Discriminant function Minimum value Perfect squares A. Exploring quadratic functions (sec 7.1) sec 7.1 #1-20 Obj: Graph quadratic functions B. Graphing simple quadratic functions (sec 7.2) sec 7.2 #1-17 Obj: Graph quadratic functions C. Graphing quadratic functions (sec 7.3) sec 7.3 #1-27 Obj: Graph quadratic functions D. Square roots (sec 7.4) sec 7.4 #1-20, 23-34, 38-49, 52-59 Obj: Find & use square roots odds E. Solving quadratic equations (sec 7.5) sec 7.5 #1-19, 37-42 Obj: Solve quadratic functions F. Using the quadratic formula (sec 7.6) sec 7.6 #1-18 Obj: Solve quadratic functions G. Using the Discriminant (sec 7.7) sec 7.7 #4-15, 22-30 Obj: Determine the number of quadratic solutions Review Chapter 7 assessment Notebook due on test day Test
    • Unit 8 - Exponents & Exponential Functions Lesson Assignment Unit 8 Cover Page Make a cover page for the unit with all of the lessons listed. Unit 8 Vocabulary Base Growth factor Decay factor Scientific notation Exponential function Compound interest Exponential decay Power Exponential growth Interest period Power of ten A. Exploring Exponential Functions sec 8.1 #1-31 Obj: Find patterns in exponential functions B. Exponential growth & decay (sec 8.2 & 8.3) sec 8.2 #1-17 odds Obj: Identify growth & decay functions. Use technology to find the best fit line. sec 8.3 #1-28 odds C. Zero & negative exponents (sec 8.4) sec 8.4 #1-43 odds Obj: Use properties of exponents D. Scientific notation (sec 8.5) sec 8.5 #1-42 odds Obj: Convert standard notation into scientific notation & vice versa E. Multiplying exponents (sec 8.6) sec 8.6 #1-47 odds Obj: Use properties of exponents F. Raising powers to powers (sec 8.7) sec 8.7 #1-28, 41-46 odds Obj: Use properties of exponents G. Division properties of exponents (sec 8.8) sec 8.8 #1-23, 27-44 odds Obj: Use properties of exponents Review Chapter 8 assessment Notebook due on test day Test
    • Unit 9 - Right Triangles & Radical Expressions Lesson Assignment Unit 9 Cover Page Make a cover page for the unit with all of the lessons listed. Unit 9 Vocabulary Hypotenuse Midpoint Division property of square roots Rationalize Legs Midpoint formula Multiplication property of square roots Simplest form Pythagorean Theorem Cosine Converse of Pythagorean Theorem Radical equation Distance formula Sine Extraneous solution Trigonometric ratios Tangent Square root function Angle of elevation Standard deviation A. The Pythagorean theorem (sec 9.1) sec 9.1 #1-12, 14-17, 21-36 odds Obj: Find lengths of sides of right triangles. Determine if a triangle is a right triangle. B. The distance & midpoint formulas (sec 9.2) sec 9.2 #1-15, 18-29 odds Obj: Find the distance and midpoint between two points. C. Trigonometric ratios (sec 9.3) sec 9.3 #2-18 Obj: Use sine, cosine, tangent to solve problems. D. Simplifying radicals (sec 9.4) sec 9.4 #1-15, 17-34 odds Obj: Simplify radicals E. Adding & subtracting radicals (sec 9.5) sec 9.5 #1-15, 17-34 odds Obj: Simplify radicals F. Solving radical equations (sec 9.6) sec 9.6 #1-6, 9-17, 21-29 odds Obj: Solve equations containing radicals G. Graphing square root functions (sec 9.7) sec 9.7 #1-9, 15-26 Obj: Graph square root functions Review & Test Chapter 9 assessment Notebook due on test day Test
    • Unit 10 - Polynomials Lesson Assignment Unit 10 Cover Page Make a cover page for the unit with all of the lessons listed. Unit 10 Vocabulary Binomials Polynomial Difference of two squares Degree of a polynomial Standard form Perfect square trinomial Degree of a term Trinomial Zero-product property Monomial Binomial factors A. Adding & subtracting polynomials (sec 10.1) sec 10.1 #16-21, 34-39 Obj: Add, subtract, & multiply polynomials B. Multiplying & factoring (sec 10.2) sec 10.2 # 1-5, 9-20 Obj: Add, subtract, & multiply polynomials C. Greatest common factor of polynomials (sec 10.2) sec 10.2 # 21-32, 36-47 odds Obj: find the GCF of polynomials D. Multiplying polynomials (sec 10.3) sec 10.3 #11-19, 23-30 Obj: Add, subtract, & multiply polynomials E. Multiplying special products (sec 10.3) Handout Obj: Add, subtract, & multiply polynomials F. Factoring polynomials without a leading coefficient (sec 10.4) sec 10.4 #8-14, 24-38 odds Obj: Add, subtract, & multiply polynomials G. Factoring polynomials with a leading coefficient (sec 10.4) sec 10.4 #43-54 Obj: Factor quadratic functions H. Factoring special cases (sec 10.5) sec 10.5 #5-20 Obj: Factor quadratic functions I. Solving equations by factoring (sec 10.6) sec 10.6 #4-14, 18-28 odds Obj: Solve quadratic functions J. Solving equations by graphing (sec 10.6) sec 10.6 #4-15, 18-29 odds Obj: Solve quadratic functions K. Choosing an appropriate method for solving (sec 10.7) sec 10.7 #1-6, 19-28 Obj: Solve quadratic functions Review Chapter 10 assessment Notebook due on test day Test
    • Unit 11 - Rational Expressions & Functions Lesson Assignment Unit 11 Cover Page Make a cover page for the unit with all of the lessons listed. Unit 11 Vocabulary Constant of variation Domain Permutation Inverse variation Rational expression nPr Asymptote Rational equation Combination Rational function Multiplication counting principle nCr A. Inverse variation (sec 11.1) sec 11.1 #3-14 Obj: Solve inverse variations B. Rational functions (sec 11.2) sec 11.2 #1-8, 13-24 Obj: Evaluate & graph rational functions C. Simplify rational expressions (sec 11.3) sec 11.3 #1-16 Obj: Simplify rational expressions D. Simplify rational expressions (sec 11.3) sec 11.3 #20-33 Obj: Perform operations using rational expressions E. Operations with rational expressions (sec 11.4) sec 11.4 #1-49 odds Obj: Perform operations using rational expressions F. F. Solving rational expressions (sec 11.5) sec 11.5 #2-13, 20-28 Obj: Solve equations with rational expressions G. Counting outcomes & permutations (sec 11.6) sec 11.6 #1-28 odds Obj: Find the probability of a simple event H. Combinations (sec 11.7) sec 11.7 #1-34 odds Obj: Find the probability of a simple event Review Chapter 11 assessment Notebook due on test day Test