Larson Algebra I - Standard Correlation 1st Quarter UNIT 1: Equations in One Variable Chapter 13: Probability and Data Analysis Lesson 13.1: Find Probabilities and Odds (Pgs.842-850) Lesson 13.2: Find Probabilities Using Permutations (Pgs.851-855) Lesson 13.3: Find Probabilities Using Combinations (Pgs 856-860) Lesson 13.4: Find Probabilities of Compound Events (Pgs 861-870) Lesson 13.5: Analyze Surveys and Samples (Pgs. 871-874) Lesson 13.6: Use Measures of Central Tendency and Dispersion (pg. 875-878) Lesson 13.7 Interpret Stem-and-Leaf Plots and Histograms (pg. 881-886) Last Edit 12 August 2011 DoDEA Standards No DoDEA ALGEBRA I Standard Additional Resources to Support the DoDEA Standards Lesson 13.5 Video Tutor: (Surveys) There are 1,828 students in a school and the dietitians at the school want to survey the students. How can sampling methods help? No DoDEA ALGEBRA I Standard Lesson 13.7 Video Tutor: (Histograms) Looking at heights of water slides in the united states to create frequency tables to analyze the data. No DoDEA ALGEBRA I Standard Lesson 13.7 Video Tutor: (stem and leaf) Using a stem and leaf plot to organize data from baseball statistics. No DoDEA ALGEBRA I Standard A1.5.1 Select, create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, histogram, circle graph, etc) for a set of data and use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data; A1.5.1 Select, create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, histogram, circle graph, etc) for a set of data and use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data; A1.5.1 Select, create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, histogram, circle graph, etc) for a set of data and use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data; Lesson 13.8 Video Tutor: (Box & Whisker) Using data to create a box and whisker plot on the graphing calculator. Web-Based Activities: “Box and Whiskers Applet” Technology Connection: Graphing Calculator Notes Histograms with the TI-84 Box-and-Whisker with the TI-84 Scatter Plots with the TI-84 Line of Best Fit with the TI-84 Lesson Plans: “Box and Whisker Lesson and Analysis Questions” “NBA Statistics Box and Whisker” “Compare your Own Data” “Circle Graph” Larson Algebra I - Standard Correlation Lesson 13.8 Interpret Box-and-Whisker plots (Pgs. 887-893) Lesson 123.5-13.8: Mixed Review of Problem Solving (pg 894) Chapter 13 Summary, Review, Test Practice (Pgs: 896-907) Chapter 1: Expressions, Equations, and Functions Lesson 1.1: Evaluating Expressions (Pgs. 2-7) Lesson 1.2: Apply Order of Operations (Pgs. 8-13) Lesson 1.3: Write Expressions (Pgs. 14-20) Explore 1.4: Write Equations and Inequalities (Pgs. 21-26) Prerequisite for: Last Edit 12 August 2011 A1.5.1 Select, create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, histogram, circle graph, etc) for a set of data and use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data DoDEA Process Standards DoDEA Standard Correlation A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.3.6 Represent linear relationships graphically, algebraically (including the slope-intercept form) and verbally and relate a change in the slope or the y-intercept to its effect on the various representations; A1.3.11 Apply and use linear equations and/or inequalities as mathematical representations of proportional relationships to solve problem; including rate problems, work problems, and percent mixture problems; Additional Resources to Support the DoDEA Standards Lesson 1.1 Video Tutor: Which movie theatre will cost less when buying three tickets and two popcorns? Lesson 1.2 Video Tutor: Using the order of operations when performing stunts for movies (using the falling object model s-16t2) Lesson 1.4 Video Tutor: Cooking hamburgers for a cookout with ten people (6p = 30) Lesson 1.6 Video Tutor: Late library charges…how much do you owe? Find solutions with an input output table and by writing rules. Lesson 1.7 Video Tutor: Teaching children how to swim by adding minutes on to the time they spend in the pool. Analyze with an input output table (domain and range) and then graphing the function. Formative: Order of Operations (kuta software) Adding Rational Numbers (kuta software) Adding and Subtracting Rational Numbers (kuta software) Larson Algebra I - Standard Correlation Lessons: 1.1-1.4: Mixed Review of Problem Solving (pg. 27) Lesson 1.5: Use a Problem Solving Plan (Pgs. 28-34) Lesson 1.6: Represent Functions as Rules and Tables (Pgs. 35-41) Prerequisite for: Lesson 1.7 Investigating Activity Scatter Plots and Functions (Pg. 42 Lesson 1.7: Represent Functions as Graphs (Pgs: 43-50) Lesson 1.5-1.7: Mixed Review of Problem Solving (pg. 51) Chapter 1: Summary, Review, Test Practice (Pgs: 52-61) Chapter 2: Properties of Real Numbers Lesson 2.1: Use Integers and Rational Numbers (Pgs. 64-72) Last Edit 12 August 2011 Multiply and Divide Rational Numbers (kuta software) DoDEA Process Standards A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.3.4 Identify rates of change (slope) and distinguishing properties of data from tables, graphs, and equations to predict what happens to one variable as another variable changes; A1.3.6 Represent linear relationships graphically, algebraically (including the slope-intercept form) and verbally and relate a change in the slope or the y-intercept to its effect on the various representations; A1.3.3 For bivariate data that appear to form a linear pattern, find the line of best fit by estimating visually and/or using appropriate technology to determine the least squares regression equation. Interpret the slope of the equation for a regression line within the context of the data and use the equation to make predictions; A1.3.6 Represent linear relationships graphically, algebraically (including the slope-intercept form) and verbally and relate a change in the slope or the y-intercept to its effect on the various representations; Tutorials: Brightstorm: Order of Operations Web-Based Activities: Collecting Like Terms Interactive Notes Lesson Plans: Evaluating Variable Expressions Practice Simplifying Variable Expressions Practice Zero Out Game X-pressions Simplifying Expressions: “Steal the Bacon” Game Combining Like Terms Game Brain-Pop: Order of operations SMART: Order of Operations Search DoDEA Process Standards DoDEA Standard Correlation A1.1.3 Explain the relationship between real numbers and the number line (including the density property) and compare and order real numbers with and without the number line; A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. Additional Resources to Support the DoDEA Standards Lesson 2.1 Video Tutor: Ordering integers on a number line. Lesson 2.2 Video Tutor: Adding Integers using absolute value as a reference. Lesson 2.3 Video Tutor: Larson Algebra I - Standard Correlation Lesson 2.2: Adding Real Numbers (Pgs. 73 - 79) Lesson 2.3: Subtract Real Numbers (Pgs. 80-83) Lesson 2.1 – 2.3: Mixed Review of Problem Solving (pg. 86) Lesson 2.4: Multiply Real Numbers (Pgs. 87-93) Lesson 2.5: Apply the Distributive Property (Pgs. 96-101) Lesson 2.5: Problem Solving Workshop (pg. 102) Lesson 2.6: Divide Real Numbers (Pgs. 103-108) Lesson 2.7: Find Square Root and Compare Last Edit 12 August 2011 A1.1.1 Identify and use the properties of operations on real numbers, including commutative, associative, distributive, and identity and inverse elements for addition and multiplication; A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. Subtracting Integers: change in temperature of frozen hamburgers to cooked hamburgers on the grill. DoDEA Process Standards Formative: The distributive property (kuta software) A1.1.1 Identify and use the properties of operations on real numbers, including commutative, associative, distributive, and identity and inverse elements for addition and multiplication; A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.1.1 Identify and use the properties of operations on real numbers, including commutative, associative, distributive, and identity and inverse elements for addition and multiplication; A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. DoDEA Process Standards A1.1.1 Identify and use the properties of operations on real numbers, including commutative, associative, distributive, and identity and inverse elements for addition and multiplication; A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value. A1.2.3 Solve multistep problems that involve adding, subtracting, multiplying, and dividing rational expressions and reduce solutions to lowest terms by factoring the numerator and denominator; A1.1.3 Explain the relationship between real numbers and the number line (including the density property) and Lesson 2.4 Video Tutor: Meal Cards in Cafeterias: Using multiplication of integers to find the amount of money left on a card balance. Lesson 2.6 Video Tutor: Using stock market information to find the average daily change in stock price (using rules of integer division). Web-Based Activities: Hippo Campus: Number Properties Hippo Campus: Associative, Distributive, and Commutative Properties Hippo Campus: Using the Distributive Property Hippo Campus: Using the Associative and Commutative properties Collecting Like Terms Interactive Notes Lesson Plans: Properties Lesson Plan and Activities Properties Graphic Organizer Properties Examples (can be used with the graphic organizer) Properties Overview The Distributive Property Practice Distributive Property Matching Brain-Pop: Associative property Commutative property Distributive property Absolute Value SMART: Associative, Commutative, Distributive Search Larson Algebra I - Standard Correlation Real Numbers (Pgs. 110-118) Lesson 2.4-2.7 Mixed Review of Problem Solving (pg 119) Chapter 2: Summary, Review, Test Practice (Pgs: 120-129) Chapter 3: Solving Linear Equations Lesson 3.1:Investigating Algebra Activity Modeling One-Step Equations (Pgs 132-133) Lesson 3.1: Solving One Step Equations (Pgs. 134-140) Lesson 3.2: Solving Two-Step Equations (Pgs. 140-146) compare and order real numbers with and without the number line; DoDEA Process Standards DoDEA Standard Correlation A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; Lesson 3.1 Video Tutor: (addition) Using algebra tiles to solve one-step equations. Lesson 3.1 Video Tutor : (subtraction) The youngest and oldest drivers to ever win the Indy 500. Lesson 3.1 Video Tutor: (multiplication and division) Three friends decide to go out to dinner and a movie. Denise pays the dinner bill and tells her friends they can pay her back later. She says each friend owes fifteen dollars. How much was the total bill? Lesson 3.2 Video Tutor: Tennis lesson prices. First month was 140 dollars with a registration fee of 20 dollars. This included ten lessons. How much is each individual lesson? Lesson 3.3 Video Tutor: Cards at a craft show cost 3 dollars for a small card and 5 dollars for a large card. The ladies selling the cards know they sold 25 cards and earned $95 but they don’t know how many small cards and large cards they sold. Lesson 3.5 Video Tutor: Barbequing vegetable kabobs: three green peppers for every two red peppers. There are eight green pepper pieces-how many red pieces are needed? Lesson 3.2: Problem Solving Workshop (pg. 147) DoDEA Process Standards Last Edit 12 August 2011 Additional Resources to Support the DoDEA Standards Formative Assessment: Combining like terms (kuta software) One step equations (kuta software) Two step equations (kuta software) Larson Algebra I - Standard Correlation Lesson 3.3: Solving Multi-Step Equations (Pgs. 148-153) A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.3.10 Solve multistep problems involving linear equations and/or inequalities (including those with absolute value) in one variable and provide justification for each step; Lesson 3.4: Solve Equations with Variables on Both Sides (Pgs. 154-160) A1.3.10 Solve multistep problems involving linear equations and/or inequalities (including those with absolute value) in one variable and provide justification for each step; Solving Equations Quiz Solving Equations Quiz 2 Tutorials: Algebasics: Integers Algebasics: Equations Math123xyz: one-step add and subtract Math123xyz: one-step multiply and divide Brightstorm: Solve Single Step Equations Brightstorm: Solve Two-Step Equations Web-Based Activities: One and Two-Step Equation Flashcards Interactive Notes: solving Two-Step Equations Hippo Campus: Solve Equations Using Properties of Equality Hippo Campus: Multi-Step Equations Math 123xyz one-step practice add and subtract Math123xyz: one-step practice multiply and divide Lesson Plans: Equations Game: Sequence Two Step Equation Concentration Two-Step Power-point Two-Step Power-point NOTE SHEET Video Notes on two step equations Video Notes on writing two-step equations Lesson 3.1 – 3.4: Mixed Review of Problem Solving (pg. 161) DoDEA Process Standards Brain-Pop: Adding and Subtracting Integers Equations with Unknowns Two-Step Equations 2nd Quarter Lesson 3.5: Write Ratios and Proportions (Pgs. 162-167) Last Edit 12 August 2011 A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.3.11 Apply and use linear equations and/or inequalities as mathematical representations of proportional relationships to solve problem; including rate problems, Larson Algebra I - Standard Correlation Lesson 3.6: Solving Proportions Using Cross Products (Pgs. 168-173) Lesson 3.7: Solving Percent Problems (Pgs. 176-183) Lesson 3.8: Rewrite Equations and Formulas (Pgs. 184-189) Lesson 3.5-3.8 Mixed Review of Problem Solving (pg 190) Chapter 3: Summary, Review, Test Practice (Pgs: 191-201) Last Edit 12 August 2011 work problems, and percent mixture problems; A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.2.4 Solve problems involving equations with algebraic fractions including direct, inverse, and joint variation. A1.3.11 Apply and use linear equations and/or inequalities as mathematical representations of proportional relationships to solve problem; including rate problems, work problems, and percent mixture problems; A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.3.11 Apply and use linear equations and/or inequalities as mathematical representations of proportional relationships to solve problem; including rate problems, work problems, and percent mixture problems; A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.3.10 Solve multistep problems involving linear equations and/or inequalities (including those with absolute value) in one variable and provide justification for each step; DoDEA Process Standards