Student Guide: Chapter 1

Transcription

1 Student Guide: Chapter I can solve puzzles in teams 1-4 to I can investigate the growth of patterns 1-13 to to 1-22 I can investigate the graphs of quadratic functions 1-25 to I can describe a graph 1-33 to to 1-42 I can cube root and use absolute value functions 1-47 to I can use function machines 1-57 to I can solve functions 1-66 to I can solve domain and range 1-78 to 1-82

2 Student Guide: Chapter I can see growth in linear representations 2-6 to I can calculate slope 2-19 to I can compare the change in y and the change in x 2-31 to I can calculate the rate of change 2-41 to I can use y=mx+b and calculate slope 2-48 to I can use slope as motion 2-59 to to 2-67 I can calculate the rate of change 2-7- to I can write equations of lines in situations 2-82 to I can find an equations given a slope and a point 2-90 to Extensio n Activity I can find y=mx+b from graphs and tables 2-96 to 2-100

3 Student Guide: Chapter I can simplify exponential expression 3-6 to I can solve zero and negative exponents 3-19 to I can solve equations using algebra tiles I can explore an area model 3-33 to to to I can multiply binomials and the distributive property 3-58 to I can use generic rectangles to multiply 3-70 to I can solve equations with multiplication and absolute value 3-81 to 3-86 I can work with multi-variable equations 3-93 to to I can summarize what I learned about solving equations to 3-112

4 Student Guide: Chapter I can solve word problems by writing equations 4-8 to to 4-19 I can identify if an equations is one equation or two 4-25 to 4-30 I can solve systems of equations using the substitution method 4-36 to 4-41 I can make connections between systems, solutions, and graphs 4-49 to 4-54 I can solve systems of equations using elimination 4-60 to 4-65 I can solve systems of equations using elimination 4-71 to 4-76 I can correctly choose a strategy for solving systems 4-81 to I can pull it all together! 4-98 to 4-115

5 Student Guide: Chapter I can represent exponential growth with a diagram, table, graph. 5-6 to to 5-17 I can generate data model the data collected with tables, equations, graphs to 5-27 I can compare exponential decay to the linear function from the previous lesson to 5-39 I can identify sequences generated by adding a constant as arithmetic, those generated by multiplying by a constant as geometric. I can learn the vocabulary notation for arithmetic sequences as I develop formulas for the n th term to to to 5-70 I can write sequences from recursive equations to 5-81 I can look at and compare patterns of growth in linear exponential tables to I can find equations for geometric sequences see relationships between geometric sequences exponential functions. I can recognize that all sequences are functions with domains limited to positive integers to to to 5-123

6 Student Guide: Chapter I can review drawing a line of best fit by hand. 6-4 to I can calculate, interpret, and graphically represent a residual to I can graphically determine an upper and lower bound on the prediction I make from a linear best-fit model. I can find the least squares regression line (LSRL) using calculators I can observe the impact of an outlier on the LSRL. I I can calculate the correlation coefficient and observe the scatter for various extremes of r. S 6-24 to to to to to to 6-78 I can understand that cause and effect cannot be determined from a study that 6-85 to 6-90 reports an association. I can interpret the correlation coefficient squared in context to I can fit a non-linear model to data that shows a curved trend to to 6-121

7 Student Guide: Chapter I can make and justify statements about the behaviors of graphs in this family. 7-7 to to 7-19 I can generalize the roles of a and b for the equation y = a b x to 7-29 I can use what I know about linear exponential functions to investigate the relationship between simple compound interest. I can represent exponential decay in multiple ways 7-35 to to to 7-58 I can write equations for exponential functions presented as graphs to 7-66 I can complete the exponential multiple representations web to I can interpret fractional exponents I can find linear functions exponential equations of the form y = ab x given two points. I can write and graphically solve a system of exponential functions in the context of investigating used-car prices to to to 7-111

8 Student Guide: Chapter I can discover that the products of the terms in each diagonal of a generic rectangle are equal 8-6 to 8-12 I can develop an algorithm to factor quadratic expressions without algebra 8-17 to 8-23 tiles I can continue to practice their factoring skills while learning about special cases 8-39 to 8-34 I can factor by considering expressions that can be factored first with a 8-39 to 8-44 common factor and then again using the quadratic factoring method. I can learn a quick way to factor perfect square trinomials and quadratics that 8-49 to 8-54 are a difference of squares. I can identify connections between different representations of quadratics 8-58 to 8-63 I can find the x-intercepts of a parabola by factoring the corresponding 8-69 to 8-75 quadratic equation I can use a graphing calculator to find the x-intercepts and vertex of a parabola 8-83 to 8-88 I can move from a table, graph, or situation, to a quadratic rule 8-92 to I can convert the equation of a parabola into graphing form by completing the square to 8-111

9 Student Guide: Chapter I can develop the method of completing the square to solve equations 9-6 to 9-11 I can solve quadratic equations using the quadratic formula 9-17 to 9-23 I can solve quadratic equations, including some that are not in standard 9-27 to 9-33 form, and some that have only one solution or no real solutions. I can use the zero product property, completing the square, and the 9-38 to 9-43 quadratic formula I can solve linear inequalities with one variable and how to represent the 9-50 to 9-55 solutions on a number line. I can use an inequality to solve a word problem to 9-64 I can graph linear inequalities with two variables to 9-76 I can graph linear and non-linear inequalities that contain two variables to 9-88 I can graph two-variable inequalities as I learn how to graph constraints using systems of inequalities to I can graph systems of inequalities and will apply this understanding to solve to problems. I can write inequalities from a word problem to 9-119

10 Student Guide: Chapter I can create relative frequency tables to to I can solve complicated and simple exponential equations by rewriting and to solving a simpler equivalent equation. I can solve complicated linear and quadratic equations that involve to fractions by rewriting and solving an equivalent equation. I can use multiple methods for solving single-variable equations involving to exponents and square roots. I can determine the number of solutions to an absolute value equation or a to quadratic written in perfect square form. I can derive the quadratic formula by completing the square to I can solve various equations using the methods from Lesson and will gain confidence in how to select the best method I can distinguish between intercepts and intersections and will learn how to solve systems of equations when one or to to to both equations is/are not linear. I can use an algebraic method to find points of intersection to I can solve complicated single-variable inequalities, including those with absolute values and those with squared terms to

11 Student Guide: Chapter I can add or multiply by a constant to transform linear, quadratic, and exponential functions to to I can undo functions to find the inverse function to I can review the differences between graphical representations of singlevariable data. I can compare the center, shape, spread, and outliers of two collections of numerical data to to to to I can find and interpret standard deviation to I can collect and analyze data to to I can review my knowledge of relations, including domain, range, functions, intercepts, and symmetry. I can connect my understanding of functions, inequalities, and solving equations to analyze a complicated inequality. I can use multiple representations to maximize a set of quadratic data. I can write and solve exponential functions to to to to to to

12 Student Guide: Appendix A.1 A.1.1 I can name each tile by its area and will learn how to combine like terms. A-6 to A-11 A.1 A.1.2 A.1 A.1.3 I can apply understanding of combining like terms to find the simplest A-17 to A-22 expression to represent perimeter. I can construct and simplify algebraic expressions using the tiles. A-30 to A-34 A.1 A.1.4 I can build and simplify algebraic expressions using tiles. A-42 to A-47 A.1 A.1.5 A.1 A.1.6 A.1 A.1.7 I can practice using different interpretations of minus as I represent negatives with algebra tiles I can use an Expression Comparison Mat to determine which of two expressions is greater. A-53 to A-58 A-61 to A-66 I can record my work to show my solution steps. A-71 to A-76 A.1 A.1.8 I can solve equations for x and will strengthen my simplification skills. A-82 to A-87 A.1 A.1.9 I can solve equations for x and begin to consider special types of solutions such as all numbers and no solution. A-92 to A-97