Week of May 19th - May 22nd
Monday
Review with those that were not proficient on the Math 1 test
Tuesday
Retake for Math 1
Wednesday
Retake for Math 3
Thursday
LAST DAY OF SCHOOL
HALF DAY!!!
Week of May 19th - May 22nd
Monday
Review with those that were not proficient on the Math 1 test
Tuesday
Retake for Math 1
Wednesday
Retake for Math 3
Thursday
LAST DAY OF SCHOOL
HALF DAY!!!
Week of May 11th - May 16th
Monday
Review Functions and System of Equations
Block 1
Tuesday
Block 2
Wednesday
Block 3
Thursday
Block 4
Week of May 5th - May 9th
Monday
Review Friday's Function Test
Practice EOG Test
Wednesday
Complete Practice EOG Test
Thursday
Review Practice EOG Test
Friday
TEST EOG Practice
This weeks focus will be on problem issues: functions and systems of equations
Week of April 28th - May 2nd
Monday
Review Check-in and Previous Test
start 100 EOC questions (weekly assignment).
Tuesday
Answer individual questions,
work on 100 questions (use notes and google classroom)
Wednesday
Continue with 100 questions
answering class questions
Thursday
Continue with 100 questions
answering class questions
Friday
Quiz on 100 questions
complete 100 questions
Week of April 14th - 17th
Monday
Go over questions from test from previous week.
Review
Tuesday
Continue review - Quadratic Functions, Sequence, Exponential Functions, Statistics
Formulas, Key Words and Vocabulary
Wednesday
NC Check in #2
Thursday
Go over questions from EOC Review Packet
Friday
Spring Break Begins
Week of April 7th - 11th
Monday
Equation and Inequalities - complete all the even number problems
Linear Functions - complete all the odd number problems
Tuesday
System of Equations - complete all the even number problems
Statistics - complete all the odd number problems
Wednesday
Exponents - complete all the even number problems
Geometry - complete all the odd number problems
Thursday
Sequence - complete all the even number problems
Quadratics - complete all the odd number problems
Friday
Test (NC Check-in Practice Test)
Problems are in Google Classroom
SHOW YOUR WORK
Week of March 31st - April 4th
Standards
NC.M1.S-ID.1: Summarize, represent, and interpret data on a single count or measurement variable. Use technology to represent data with plots on the real number line (histograms and box plots).
NC.M1.S-ID.2: Summarize, represent, and interpret data on a single count or measurement variable. Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. Interpret differences in shape, center, and spread in the context of the data sets.
NC.M1.S-ID.3: Summarize, represent, and interpret data on a single count or measurement variable. Examine the effects of extreme data points (outliers) on shape, center, and/or spread.
Objectives
Monday: Regression Application
Tuesday: Review for NC Check-in #2 System of Equations
Wednesday: Review of NC Check-in #2 Exponential Functions
Thursday Practice Test
Friday: Practice Test Correction
Week of March 24th - 28th
Standards
NC.M1.S-ID.1: Summarize, represent, and interpret data on a single count or measurement variable. Use technology to represent data with plots on the real number line (histograms and box plots).
NC.M1.S-ID.2: Summarize, represent, and interpret data on a single count or measurement variable. Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. Interpret differences in shape, center, and spread in the context of the data sets.
NC.M1.S-ID.3: Summarize, represent, and interpret data on a single count or measurement variable. Examine the effects of extreme data points (outliers) on shape, center, and/or spread.
Objectives
Monday: Standard Deviation/Normal Distribution
Tuesday: Box and Whiskers Plot
Wednesday: Frequency and Histograms
Thursday Two-Way Table
Friday: Quiz (Central Tendencies, Standard Deviation and Normal Distribution)
Statistic
Measures of central tendency, measures of center, spread, shape, box plot, histogram, dot plot, standard deviation, mean, median, mode, range, interquartile range, upper quartile (Q3), lower quartile (Q1), maximum, minimum, 5-number summary, outlier
Week of Mar 17th - 21st
Standards:
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-SSE.1a: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents.
NC.M1.A-SSE.1b: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.F-IF.7: Analyze functions using different representations. Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.
NC.M1.F-IF.9: Analyze functions using different representations. Compare key features of two functions (linear, quadratic, or exponential) each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).
NC.M1.F-LE.3: Construct and compare linear, exponential, and quadratic models and solve problems. Compare the end behavior of linear, exponential, and quadratic functions using graphs and tables to show that a quantity increasing exponentially exceeds a quantity increasing linearly or quadratically.
NC.M1.F-IF.6: Interpret functions that arise in applications in terms of the context. Calculate and interpret the average rate of change over a specified interval for a function presented numerically, graphically, and/or symbolically.
NC.M1.F-IF.8a: Analyze functions using different representations. Use equivalent expressions to reveal and explain different properties of a function. Rewrite a quadratic function to reveal and explain different key features of the function.
NC.M1.A-REI.10: Represent and solve equations and inequalities graphically. Understand that the graph of a two variable equation represents the set of all solutions to the equation.
NC.M1.F-IF2: Understand the concept of a function and use function notation. Use function notation to evaluate linear, quadratic, and exponential functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
NC.M1.A-CED.2: Create and graph equations in two variables to represent linear exponential, and quadratic relationships between quantities.
NC.M1.A-CED.1: Create equations and inequalities in one variable that represent linear, exponential and quadratic relationships and use them to solve problems.
NC.M1.A-SSE.3: Write an equivalent form of a quadratic expression by factoring, where a is an integer of the quadratic expression, ax2+bx+c, to reveal the solutions of the equation or the zeros of the function the expression defines.
NC.M1.A-REI.4: Solve for the real solutions of quadratic equations in one variable by taking square roots and factoring.
NC.M1.A-APR.3: Understand the relationship between zeros and factors of polynomials. Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.
NC.M1.A-REI.1: Understand solving equations as a process of reasoning and explain the reasoning. Justify a chosen solution method and each step of the solving process for linear and quadratic equations using mathematical reasoning.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
NC.M1.F-IF.4: Interpret functions that arise in applications in terms of the context. Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-SSE.1b: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.F-BF.1b: Build a function that models a relationship between two quantities by combining linear, exponential, or quadratic functions with addition and subtraction or two linear functions with multiplication.
NC.M1.F-IF.5: Interpret a function in terms of context by relating its domain and range to its graph and, where applicable, to the quantitative relationship it describes.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
Standards
NC.M1.S-ID.1: Summarize, represent, and interpret data on a single count or measurement variable. Use technology to represent data with plots on the real number line (histograms and box plots).
NC.M1.S-ID.2: Summarize, represent, and interpret data on a single count or measurement variable. Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. Interpret differences in shape, center, and spread in the context of the data sets.
NC.M1.S-ID.3: Summarize, represent, and interpret data on a single count or measurement variable. Examine the effects of extreme data points (outliers) on shape, center, and/or spread.
Objectives
Monday: Review Quiz - Polynomials (adding, subtracting and multiplying)
Tuesday: Test Quadratic Equations
Wednesday: Statistic - Measures of Central Tendency (mean and median)
Thursday Mean and Median
Friday: Quiz - Mean and Median
Vocabulary
projectile, quadratic function, polynomial, monomial, binomial, trinomial, factoring, difference of
squares, zeros, roots, x-intercepts, solutions, minimum, maximum, vertex, parabola, average rate of change
Statistic
measures of central tendency, measures of center, spread, shape, box plot, histogram, dot plot, standard deviation, mean, median, mode, range, interquartile range, upper quartile (Q3), lower quartile (Q1), maximum, minimum, 5-number summary, outlier
Week of Mar 10th - 14th
NC.M1.A-APR.3: Understand the relationship between zeros and factors of polynomials. Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.
NC.M1.A-REI.1: Understand solving equations as a process of reasoning and explain the reasoning. Justify a chosen solution method and each step of the solving process for linear and quadratic equations using mathematical reasoning.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
NC.M1.F-IF.4: Interpret functions that arise in applications in terms of the context. Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
Objectives
Monday: Polynomials (adding, subtracting and multiplying)
Tuesday: Polynomial (multiplying) (X Puzzle)
Wednesday: X Puzzle, Factor GCF, Factor LC 1
Thursday Factor > 1
Friday: Quiz (adding, subtracting, and multiplying polynomials)
Vocabulary
projectile, quadratic function, polynomial, monomial, binomial, trinomial, factoring, difference of
squares, zeros, roots, x-intercepts, solutions, minimum, maximum, vertex, parabola, average rate of change
Week of Mar 3rd - 7th
Standards:
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-SSE.1a: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents.
NC.M1.A-SSE.1b: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.F-IF.7: Analyze functions using different representations. Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.
NC.M1.F-IF.9: Analyze functions using different representations. Compare key features of two functions (linear, quadratic, or exponential) each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).
NC.M1.F-LE.3: Construct and compare linear, exponential, and quadratic models and solve problems. Compare the end behavior of linear, exponential, and quadratic functions using graphs and tables to show that a quantity increasing exponentially exceeds a quantity increasing linearly or quadratically.
NC.M1.F-IF.6: Interpret functions that arise in applications in terms of the context. Calculate and interpret the average rate of change over a specified interval for a function presented numerically, graphically, and/or symbolically.
NC.M1.F-IF.8a: Analyze functions using different representations. Use equivalent expressions to reveal and explain different properties of a function. Rewrite a quadratic function to reveal and explain different key features of the function.
NC.M1.A-REI.10: Represent and solve equations and inequalities graphically. Understand that the graph of a two variable equation represents the set of all solutions to the equation.
NC.M1.F-IF2: Understand the concept of a function and use function notation. Use function notation to evaluate linear, quadratic, and exponential functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
NC.M1.A-CED.2: Create and graph equations in two variables to represent linear exponential, and quadratic relationships between quantities.
NC.M1.A-CED.1: Create equations and inequalities in one variable that represent linear, exponential and quadratic relationships and use them to solve problems.
NC.M1.A-SSE.3: Write an equivalent form of a quadratic expression by factoring, where a is an integer of the quadratic expression, ax2+bx+c, to reveal the solutions of the equation or the zeros of the function the expression defines.
NC.M1.A-REI.4: Solve for the real solutions of quadratic equations in one variable by taking square roots and factoring.
NC.M1.A-APR.3: Understand the relationship between zeros and factors of polynomials. Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.
NC.M1.A-REI.1: Understand solving equations as a process of reasoning and explain the reasoning. Justify a chosen solution method and each step of the solving process for linear and quadratic equations using mathematical reasoning.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
NC.M1.F-IF.4: Interpret functions that arise in applications in terms of the context. Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-SSE.1b: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.F-BF.1b: Build a function that models a relationship between two quantities by combining linear, exponential, or quadratic functions with addition and subtraction or two linear functions with multiplication.
NC.M1.F-IF.5: Interpret a function in terms of context by relating its domain and range to its graph and, where applicable, to the quantitative relationship it describes.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
Objectives
Monday: Intro to Quadradic Equations (Adding and Subtracting)
Tuesday: Continue Quadradic Equations (Adding and Subtracting) Practice
Wednesday: 5.2 Multiply polynomials
Thursday 5.2 multiply polynomials (practice)
Friday: Quiz 5.1 and 5,2
Vocabulary
projectile, quadratic function, polynomial, monomial, binomial, trinomial, factoring, difference of squares, zeros, roots, x-intercepts, solutions, minimum, maximum, vertex, parabola, average rate of change
Week of Feb 24th - 28th
Standards
M1.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from exponential functions (integer inputs only).
Reasoning with Equations and Inequalities Solve systems of equations.
NC.M1.A-REI.5 Explain why replacing one equation in a system of linear equations by the sum of that equation and a multiple of the other produces a system with the same solutions.
NC.M1.A-REI.6 Use tables, graphs, or algebraic methods (substitution and elimination) to find approximate or exact solutions to systems of linear equations and interpret solutions in terms of a context. Reasoning with Equations and Inequalities Represent and solve equations and inequalities graphically
NC.M1.A-REI.11 Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, and/or quadratic equations 𝑦=𝑓(𝑥) and 𝑦=𝑔(𝑥) intersect are the solutions of the equation 𝑓(𝑥)=𝑔(𝑥) and approximate solutions using graphing technology or successive approximations with a table of values.
NC.M1.A-REI.12 Represent the solutions of a linear inequality or a system of linear inequalities graphically as a region of the plane.
15 Class Periods Semester | 30 Class Periods Year Long
Standards:
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-SSE.1a: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents.
NC.M1.A-SSE.1b: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.F-IF.7: Analyze functions using different representations. Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.
NC.M1.F-IF.9: Analyze functions using different representations. Compare key features of two functions (linear, quadratic, or exponential) each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).
NC.M1.F-LE.3: Construct and compare linear, exponential, and quadratic models and solve problems. Compare the end behavior of linear, exponential, and quadratic functions using graphs and tables to show that a quantity increasing exponentially exceeds a quantity increasing linearly or quadratically.
NC.M1.F-IF.6: Interpret functions that arise in applications in terms of the context. Calculate and interpret the average rate of change over a specified interval for a function presented numerically, graphically, and/or symbolically.
NC.M1.F-IF.8a: Analyze functions using different representations. Use equivalent expressions to reveal and explain different properties of a function. Rewrite a quadratic function to reveal and explain different key features of the function.
NC.M1.A-REI.10: Represent and solve equations and inequalities graphically. Understand that the graph of a two variable equation represents the set of all solutions to the equation.
NC.M1.F-IF2: Understand the concept of a function and use function notation. Use function notation to evaluate linear, quadratic, and exponential functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
NC.M1.A-CED.2: Create and graph equations in two variables to represent linear exponential, and quadratic relationships between quantities.
NC.M1.A-CED.1: Create equations and inequalities in one variable that represent linear, exponential and quadratic relationships and use them to solve problems.
NC.M1.A-SSE.3: Write an equivalent form of a quadratic expression by factoring, where a is an integer of the quadratic expression, ax2+bx+c, to reveal the solutions of the equation or the zeros of the function the expression defines.
NC.M1.A-REI.4: Solve for the real solutions of quadratic equations in one variable by taking square roots and factoring.
NC.M1.A-APR.3: Understand the relationship between zeros and factors of polynomials. Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.
NC.M1.A-REI.1: Understand solving equations as a process of reasoning and explain the reasoning. Justify a chosen solution method and each step of the solving process for linear and quadratic equations using mathematical reasoning.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
NC.M1.F-IF.4: Interpret functions that arise in applications in terms of the context. Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.
NC.M1.A-APR.1: Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
NC.M1.A-SSE.1b: Interpret the structure of expressions. Interpret expressions that represent a quantity in terms of its context. Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.F-BF.1b: Build a function that models a relationship between two quantities by combining linear, exponential, or quadratic functions with addition and subtraction or two linear functions with multiplication.
NC.M1.F-IF.5: Interpret a function in terms of context by relating its domain and range to its graph and, where applicable, to the quantitative relationship it describes.
NC.M1.A-REI.11: Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, or quadratic equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.
Objectives
Monday: Systems of Inequalities and Review
Tuesday: Test
Wednesday: NC Check-in
Thursday Intro to Quadradic Equations (Adding and Subtracting)
Friday: Continue Quadradic Equations (Adding and Subtracting) Practice
Vocabulary
solution, point of intersection, system of equations, system of inequalities, substitution method, elimination method, graphing method, infinitely many solutions, no solution, intersecting lines, parallel lines
projectile, quadratic function, polynomial, monomial, binomial, trinomial, factoring, difference of
squares, zeros, roots, x-intercepts, solutions, minimum, maximum, vertex, parabola, average rate of change
Week of Feb 17th - 21st
Standards
M1.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from exponential functions (integer inputs only).
Reasoning with Equations and Inequalities Solve systems of equations.
NC.M1.A-REI.5 Explain why replacing one equation in a system of linear equations by the sum of that equation and a multiple of the other produces a system with the same solutions.
NC.M1.A-REI.6 Use tables, graphs, or algebraic methods (substitution and elimination) to find approximate or exact solutions to systems of linear equations and interpret solutions in terms of a context. Reasoning with Equations and Inequalities Represent and solve equations and inequalities graphically
NC.M1.A-REI.11 Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, and/or quadratic equations 𝑦=𝑓(𝑥) and 𝑦=𝑔(𝑥) intersect are the solutions of the equation 𝑓(𝑥)=𝑔(𝑥) and approximate solutions using graphing technology or successive approximations with a table of values.
NC.M1.A-REI.12 Represent the solutions of a linear inequality or a system of linear inequalities graphically as a region of the plane.
Objectives
Monday: Solving Sy stems with Elimination (3.3)
Tuesday: Systems of Inequalities (3.4)
Wednesday: Systems of Inequalities (3.4) and Review for test
Thursday Test (3.1, 3.2, 3.3. 3.4 )
Friday: Operations with Polynomials (5.1)
Vocabulary
solution, point of intersection, system of equations, system of inequalities, substitution method, elimination method, graphing method, infinitely many solutions, no solution, intersecting lines, parallel lines
Week of Feb 10th - 14th
Standards
M1.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from exponential functions (integer inputs only).
Reasoning with Equations and Inequalities Solve systems of equations.
NC.M1.A-REI.5 Explain why replacing one equation in a system of linear equations by the sum of that equation and a multiple of the other produces a system with the same solutions.
NC.M1.A-REI.6 Use tables, graphs, or algebraic methods (substitution and elimination) to find approximate or exact solutions to systems of linear equations and interpret solutions in terms of a context. Reasoning with Equations and Inequalities Represent and solve equations and inequalities graphically
NC.M1.A-REI.11 Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, and/or quadratic equations 𝑦=𝑓(𝑥) and 𝑦=𝑔(𝑥) intersect are the solutions of the equation 𝑓(𝑥)=𝑔(𝑥) and approximate solutions using graphing technology or successive approximations with a table of values.
NC.M1.A-REI.12 Represent the solutions of a linear inequality or a system of linear inequalities graphically as a region of the plane.
Objectives
Monday: Graphing Systems of Equations (3.1)
Tuesday: Substitution Method (3.2)
Wednesday: Substitution Method Continued
Thursday Quiz (3.1 and 3.2) Start Elimination Method (3.3)
Friday: Teacher Workday
Vocabulary
solution, point of intersection, system of equations, system of inequalities, substitution method, elimination method, graphing method, infinitely many solutions, no solution, intersecting lines, parallel lines
Standards
M1.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from exponential functions (integer inputs only).
M1.A.CED.2 Create exponential equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (The phrase “in two or more variables” refers to formulas like the compound interest formula, in which A = P(1 + r/n)nt has multiple variables.) Build a function that models a relationship between two quantities
M1.F.BF.1 Write a function that describes a relationship between two quantities
M1.F.BF.1a Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as “to find out how much money Jimmy will have tomorrow, you add $2 to his total today.” Jn = Jn – 1 + 2, J0 = 15
M1.F.BF.2 Write geometric sequences recursively and explicitly, use them to model situations, and translate between the two forms. Connect geometric sequences to exponential functions. Build new functions from existing functions
M1.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. (Focus on vertical translations of graphs of linear and exponential functions. Relate the vertical translation of a linear function to its y‐intercept.) Understand the concept of a function and use function notation
M1.F.IF.1 Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e. each input value maps to exactly one output value. If f is a function, x is the input (an element of the domain), and f(x) is the output (an element of the range). Graphically, the graph is y = f(x).
M1.F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
M1F.IF.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Generally, the scope of high school math defines this subset as the set of natural numbers 1,2,3,4...) By graphing or calculating terms, students should be able to show how the recursive sequence a1=7, an=an-1 +2; the sequence sn = 2(n-1) + 7; and the function f(x) = 2x + 5 (when x is a natural number) all define the same sequence. Interpret functions that arise in applications in terms of the context
M1F.IF.4 Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior.
M1F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
M1F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Analyze functions using different representations
M1F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
M1.F.IF.7e Graph exponential functions, showing intercepts and end behavior.
M1.F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one function and an algebraic expression for another, say which has the larger maximum.
Objectives:
Monday: Graphing exponential functions
Tuesday: Exponential Functions - Compound Interest
Wednesday: Test Growth and Decay
Thursday: Explicit Sequence
Friday: Recursive Sequences
Vocabulary:
exponential function, growth, decay, factor, rate, interest, compounded, geometric sequence, recursive form, explicit form, exponent, base, power, increasing, decreasing, exponential regression, scatter plot, average rate of change
Week of Jan 13th - Jan 17
NC standards:
● NC.M1.F-IF.2: Understand the concepts of a functions and use function notation. Use function notation to evaluate linear, quadratic, and exponential functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
● NC.M1.F-IF.4: Interpret functions that arise in applications in terms of the context. Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.
● NC.M1.A-CED.1: Create equations that describe numbers or relationships. Create equations and inequalities in one variable that represent linear, exponential, and quadratic relationships and use them to solve problems.
● NC.M1.A-CED.2: Create equations that describe numbers or relationships. Create and graph equations in two variables to represent linear, exponential, and quadratic relationships between quantities.
● NC.M1.A-REI.10: Represent and solve equations and inequalities graphically. Understand that the graph of a two variable equation represents the set of all solutions to the equation.
● NC.M1.F-LE.5: Interpret expressions for functions in terms of the situation they model. Interpret the parameters a and b in a linear function f(x)=ax+b or an exponential function g(x)=abx in terms of a context.
● NC.M1.F-IF.6: Interpret functions that arise in applications in terms of the context. Calculate and interpret the average rate of change over a specified interval for a function presented numerically, graphically, and/or symbolically.
Objectives:
Monday: Understand the concept and interpret exponential functions
Tuesday: Create equations describing numbers or relationships
Wednesday: Test
Thursday: Solve equations and inequalities graphically
Friday: Interpret expressions of functions
Vocabulary:
exponential function, growth, decay, factor, rate, interest, compounded, geometric sequence, recursive form, explicit form, exponent, base, power, increasing, decreasing, exponential regression, scatter plot, average rate of change
Assignments
Monday: Delta Math
Tuesday: Delta Math
Wednesday: Test
Thursday: Delta Math
Friday: Ensure work completed and turned in for the week
Preparation for Class and Success
Be prepared: pencil, notebook, charged chromebook
Study notes from previous day
Turn in work on time
Be on task