*Standards Grade 6 - Alg II by Nicole Macy

Geometry

nicolemacy — 2023-10-20 13:10:33 UTC

6.G.A.1

nicolemacy — 2023-10-20 13:16:48 UTC

Find area of triangles, quadrilaterals and polygons by composing/decomposing.

6.G.A.2

nicolemacy — 2023-10-20 13:17:06 UTC

Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths.

6.G.A.3

nicolemacy — 2023-10-20 13:17:32 UTC

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side.

Ratios & Prop Relationships

nicolemacy — 2023-10-20 13:18:38 UTC

6.G.A.4

nicolemacy — 2023-10-20 13:21:45 UTC

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.

7.G.A.1

nicolemacy — 2023-10-20 13:22:15 UTC

Solve problems involving scale drawings of geometric figures, such as computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

7.G.A.2

nicolemacy — 2023-10-20 13:22:55 UTC

Draw two-dimensional geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides.

7.G.A.3

nicolemacy — 2023-10-20 13:24:06 UTC

Describe the shape of the two-dimensional face of the figure that results from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

6.RP.A.1

nicolemacy — 2023-10-20 13:56:16 UTC

Understand the concept of a ratio including the distinctions between part:part and part:whole and the value of a ratio; part/part and part/whole. Use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

nicolemacy — 2023-10-20 13:56:50 UTC

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship, including the use of units.

The Number System

nicolemacy — 2023-10-20 13:58:30 UTC

Expressions & Equations

nicolemacy — 2023-10-20 13:59:00 UTC

6.RP.A.3

nicolemacy — 2023-10-20 14:02:09 UTC

Use ratio and rate reasoning to solve real-world and mathematical problems.

6.NS.A.1

nicolemacy — 2023-10-20 14:26:27 UTC

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship, including the use of units.

6.NS.B.2

nicolemacy — 2023-10-20 14:27:11 UTC

Fluently divide multi-digit numbers using the standard algorithm.

6.NS.B.3

nicolemacy — 2023-10-20 14:28:12 UTC

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.B.4

nicolemacy — 2023-10-20 14:28:35 UTC

Use prime factorization to find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two relatively prime numbers.

6.NS.C.5

nicolemacy — 2023-10-20 14:32:11 UTC

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values to represent quantities in real-world contexts, explaining the meaning of zero in each situation.

6.NS.C.6

nicolemacy — 2023-10-20 14:32:49 UTC

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

6.NS.C.7

nicolemacy — 2023-10-20 14:33:20 UTC

Understand ordering and absolute value of rational numbers.

6.NS.C.8

nicolemacy — 2023-10-20 14:33:32 UTC

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Statistics & Probability

nicolemacy — 2023-10-20 16:55:52 UTC

6.SP.A.1

nicolemacy — 2023-10-20 17:09:40 UTC

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

6.SP.A.2

nicolemacy — 2023-10-20 17:10:02 UTC

Understand that a set of data collected to answer a statistical question has a distribution, which can be described by its center (median, mean, and/or mode), spread (range, interquartile range), and overall shape.

6.SP.A.3

nicolemacy — 2023-10-20 17:11:14 UTC

Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

6.SP.B.4

nicolemacy — 2023-10-20 17:11:35 UTC

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

6.EE.A.1

nicolemacy — 2023-10-20 17:21:38 UTC

Write and evaluate numerical expressions involving whole-number exponents.

6.EE.A.2

nicolemacy — 2023-10-20 17:21:49 UTC

Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.A.3

nicolemacy — 2023-10-20 17:22:15 UTC

Apply the properties of operations to generate equivalent expressions.

6.EE.A.4

nicolemacy — 2023-10-20 17:22:54 UTC

Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).

6.EE.B.5

nicolemacy — 2023-10-20 17:23:16 UTC

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

6.EE.B.6

nicolemacy — 2023-10-20 17:23:33 UTC

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

6.EE.B.7

nicolemacy — 2023-10-20 17:23:48 UTC

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

6.EE.B.8

nicolemacy — 2023-10-20 17:24:12 UTC

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such in-equalities on number line diagrams.

6.EE.C.9

nicolemacy — 2023-10-20 17:24:32 UTC

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

6.SP.B.5

nicolemacy — 2023-10-20 17:28:29 UTC

Summarize numerical data sets in relation to their context.

7.G.B.4

nicolemacy — 2023-10-20 18:23:47 UTC

Circles and measurement

7.G.B.5

nicolemacy — 2023-10-20 18:24:10 UTC

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write simple equations and use them to solve for an unknown angle in a figure.

7.G.B.6

nicolemacy — 2023-10-20 18:24:39 UTC

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write simple equations and use them to solve for an unknown angle in a figure.

7.RP.A.1

nicolemacy — 2023-10-20 18:37:20 UTC

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

7.RP.A.2

nicolemacy — 2023-10-20 18:37:56 UTC

Recognize and represent proportional relationships between quantities.

7.RP.A.3

nicolemacy — 2023-10-20 18:38:35 UTC

Use proportional relationships to solve multi-step ratio, rate, and percent problems.

7.NS.A.1

nicolemacy — 2023-10-20 21:29:47 UTC

Apply and extend previous understandings of addition and subtraction to add and subtract integers and other rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

7.NS.A.2

nicolemacy — 2023-10-20 21:30:10 UTC

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide integers and other rational numbers.

7.NS.A.3

nicolemacy — 2023-10-20 21:34:13 UTC

Solve real-world and mathematical problems involving the four operations with integers and other rational numbers.

7.EE.A.1

nicolemacy — 2023-10-20 22:27:47 UTC

Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients.

7.EE.A.2

nicolemacy — 2023-10-20 22:28:07 UTC

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

7.EE.B.3

nicolemacy — 2023-10-20 22:28:26 UTC

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

7.EE.B.4

nicolemacy — 2023-10-20 22:28:49 UTC

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.SP.A.1

nicolemacy — 2023-10-20 22:44:52 UTC

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

7.SP.A.2

nicolemacy — 2023-10-20 22:47:52 UTC

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

7.SP.B.3

nicolemacy — 2023-10-20 22:48:16 UTC

Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

7.SP.C.5

nicolemacy — 2023-10-20 22:48:39 UTC

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

7.SP.C.6

nicolemacy — 2023-10-20 22:49:00 UTC

Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

7.SP.C.7

nicolemacy — 2023-10-20 22:49:18 UTC

Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

7.SP.C.8

nicolemacy — 2023-10-20 22:49:46 UTC

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

8.G.A.1

nicolemacy — 2023-10-20 23:03:29 UTC

Verify experimentally the properties of rotations, reflections, and translations.

8.G.A.2

nicolemacy — 2023-10-20 23:33:23 UTC

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

8.G.A.3

nicolemacy — 2023-10-20 23:33:47 UTC

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.G.A.4

nicolemacy — 2023-10-20 23:34:06 UTC

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

8.G.A.5

nicolemacy — 2023-10-20 23:34:40 UTC

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

8.G.B.6

nicolemacy — 2023-10-20 23:35:01 UTC

Understand the relationship among the sides of a right triangle. Analyze and justify the Pythagorean Theorem.

8.G.B.7

nicolemacy — 2023-10-20 23:35:27 UTC

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

8.G.B.8

nicolemacy — 2023-10-20 23:35:51 UTC

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

8.G.C.9

nicolemacy — 2023-10-20 23:36:11 UTC

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

8.NS.A.1

nicolemacy — 2023-10-20 23:37:00 UTC

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

8.NS.A.2

nicolemacy — 2023-10-20 23:37:27 UTC

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g.,π²).

8.EE.A.1

nicolemacy — 2023-10-20 23:38:12 UTC

Know and apply the properties of integer exponents to generate equivalent numerical expressions.

8.EE.A.2

nicolemacy — 2023-10-20 23:38:31 UTC

Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

8.EE.A.3

nicolemacy — 2023-10-20 23:38:53 UTC

Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

8.EE.A.4

nicolemacy — 2023-10-20 23:39:08 UTC

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. Interpret scientific notation that has been generated by technology.

8.EE.B.5

nicolemacy — 2023-10-20 23:39:31 UTC

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

8.EE.B.6

nicolemacy — 2023-10-20 23:39:52 UTC

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

8.EE.C.7

nicolemacy — 2023-10-20 23:40:19 UTC

Solve linear equations in one variable.

8.EE.C.8

nicolemacy — 2023-10-20 23:41:17 UTC

Analyze and solve pairs of simultaneous linear equations.

8.SP.A.1

nicolemacy — 2023-10-20 23:41:50 UTC

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.A.2

nicolemacy — 2023-10-20 23:42:04 UTC

Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8.SP.A.3

nicolemacy — 2023-10-20 23:42:23 UTC

Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

8.SP.A.4

nicolemacy — 2023-10-20 23:42:39 UTC

Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

Functions

nicolemacy — 2023-10-20 23:43:05 UTC

8.F.A.1

nicolemacy — 2023-10-20 23:44:38 UTC

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

8.F.A.2

nicolemacy — 2023-10-20 23:44:51 UTC

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)

8.F.A.3

nicolemacy — 2023-10-20 23:45:07 UTC

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

8.F.B.4

nicolemacy — 2023-10-20 23:45:28 UTC

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

nicolemacy — 2023-10-20 23:45:40 UTC

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

The Real Number System

nicolemacy — 2023-10-20 23:46:18 UTC

Quantities

nicolemacy — 2023-10-20 23:46:32 UTC

Seeing Structure in Expression

nicolemacy — 2023-10-20 23:46:54 UTC

Arithmetic w/Polynomials & Rational Expressions

nicolemacy — 2023-10-20 23:47:21 UTC

Creating Equations

nicolemacy — 2023-10-20 23:47:41 UTC

Reasoning w/Equations & Inequalities

nicolemacy — 2023-10-20 23:48:11 UTC

Interpreting Functions

nicolemacy — 2023-10-20 23:48:32 UTC

Building Functions

nicolemacy — 2023-10-20 23:48:44 UTC

Linear, Quadratic & Exponential Models

nicolemacy — 2023-10-20 23:49:03 UTC

Interpreting Categorical & Quantitative Data

nicolemacy — 2023-10-20 23:49:34 UTC

Congruence

nicolemacy — 2023-10-20 23:50:06 UTC

Similarity, Right Triangles, and Trigonometry

nicolemacy — 2023-10-20 23:50:27 UTC

Circles

nicolemacy — 2023-10-20 23:50:38 UTC

Expressing Geometric Properties w/Equations

nicolemacy — 2023-10-20 23:50:57 UTC

Geometric Measurement & Dimension

nicolemacy — 2023-10-20 23:51:18 UTC

Modeling w/Geometry

nicolemacy — 2023-10-20 23:51:36 UTC

Conditional Probability & the Rules of Probability

nicolemacy — 2023-10-20 23:52:08 UTC

Complex Number System

nicolemacy — 2023-10-20 23:52:26 UTC

Vector & Matrix Quantities

nicolemacy — 2023-10-20 23:52:43 UTC

Trigonometric Functions

nicolemacy — 2023-10-20 23:53:01 UTC

Making Inferences & Justifying Conclusions

nicolemacy — 2023-10-20 23:53:19 UTC

Using Probability to Make Decisions

nicolemacy — 2023-10-20 23:53:38 UTC

AI.N-RN.A.1

nicolemacy — 2023-10-21 23:33:47 UTC

Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.

AI.N-RN.A.2

nicolemacy — 2023-10-21 23:34:11 UTC

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

AI.N-RN.B.3

nicolemacy — 2023-10-21 23:34:43 UTC

Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

AI.N-Q.A.1

nicolemacy — 2023-10-21 23:35:18 UTC

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

AI.N-Q.A.2

nicolemacy — 2023-10-21 23:37:39 UTC

Define appropriate quantities for the purpose of descriptive modeling.

AI.N-Q.A.3

nicolemacy — 2023-10-21 23:37:56 UTC

Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

AI.A-SSE.A.1

nicolemacy — 2023-10-21 23:38:30 UTC

Interpret expressions that represent a quantity in terms of its context.

AI.A-SSE.A.2

nicolemacy — 2023-10-21 23:38:59 UTC

Use the structure of an expression to identify ways to rewrite it For example, see (x + 2)² – 9 as a difference of squares that can be factored as ((x + 2) + 3)((x + 2 ) – 3).

AI.A-SSE.B.3

nicolemacy — 2023-10-21 23:39:47 UTC

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

AI.A-APR.A.1

nicolemacy — 2023-10-21 23:40:30 UTC

Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.

AI.A-CED.A.1

nicolemacy — 2023-10-21 23:42:10 UTC

Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear, quadratic, and exponential functions with integer exponents.)

AI.A-CED.A.2

nicolemacy — 2023-10-21 23:42:29 UTC

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

AI.A-CED.A.3

nicolemacy — 2023-10-21 23:42:49 UTC

Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

AI.A-CED.A.4

nicolemacy — 2023-10-21 23:43:06 UTC

Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations

(Properties of equality).

AI.A-REI.A.1

nicolemacy — 2023-10-21 23:43:34 UTC

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify or refute a solution method.

AI.A-REI.B.3

nicolemacy — 2023-10-21 23:45:02 UTC

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

AI.A-REI.B.4

nicolemacy — 2023-10-21 23:45:32 UTC

Solve quadratic equations in one variable.

AI.A-REI.C.5

nicolemacy — 2023-10-21 23:46:10 UTC

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

AI.A-REI.C.6

nicolemacy — 2023-10-21 23:46:28 UTC

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

AI.A-REI.C.7

nicolemacy — 2023-10-21 23:46:54 UTC

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x² + y² = 3.

AI.A-REI.D.10

nicolemacy — 2023-10-21 23:49:51 UTC

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Show that any point on the graph of an equation in two variables is a solution to the equation.

AI.A-REI.D.11

nicolemacy — 2023-10-21 23:50:21 UTC

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions and make tables of values. Include cases where f(x) and/or g(x) are linear and exponential functions.

AI.A-REI.D.12

nicolemacy — 2023-10-21 23:50:42 UTC

Graph the solutions of a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set of a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

AI.F-IF.A.1

nicolemacy — 2023-10-21 23:51:18 UTC

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output (range) of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

AI.F-IF.A.2

nicolemacy — 2023-10-21 23:51:33 UTC

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

AI.F-IF.A.3

nicolemacy — 2023-10-21 23:51:52 UTC

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by

f(0) = f(1) = 1, f(n + 1) = f(n) + f(n - 1) for n = 1.

AI.F-IF.B.5

nicolemacy — 2023-10-21 23:52:27 UTC

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

AI.F-IF.B.6

nicolemacy — 2023-10-21 23:52:53 UTC

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.

AI.F-IF.C.7

nicolemacy — 2023-10-21 23:53:18 UTC

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

AI.F-IF.C.8

nicolemacy — 2023-10-21 23:53:58 UTC

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

AI.F-IF.C.9

nicolemacy — 2023-10-21 23:54:26 UTC

Translate among different representations of functions (algebraically, graphically, numerically in tables, or by verbal descriptions). Compare properties of two functions each represented in a different way.

AI.F-BF.A.1

nicolemacy — 2023-10-21 23:54:57 UTC

Write linear, quadratic, and exponential functions that describe a relationship between two quantities.

AI.F-BF.A.2

nicolemacy — 2023-10-21 23:55:15 UTC

Write arithmetic and geometric sequences both recursively and with an explicit formula them to model situations, and translate between the two forms.

AI.F-BF.B.3

nicolemacy — 2023-10-21 23:55:50 UTC

Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear, quadratic, exponential, and absolute value functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.

AI.F-BF.B.4

nicolemacy — 2023-10-21 23:56:12 UTC

Find inverse functions algebraically and graphically.

AI.F-LE.A.1

nicolemacy — 2023-10-21 23:56:54 UTC

Find inverse functions algebraically and graphically.

AI.F-LE.A.2

nicolemacy — 2023-10-21 23:57:11 UTC

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).

AI.F-LE.A.3

nicolemacy — 2023-10-21 23:57:34 UTC

Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

AI.F-LE.B.5

nicolemacy — 2023-10-21 23:57:47 UTC

Interpret the parameters in a linear or exponential function (of the form f(x) = bx + k) in terms of a context.

AI.S-ID.A.1

nicolemacy — 2023-10-21 23:58:17 UTC

Represent data with plots on the real number line (dot plots, histograms, and box plots).

AI.S-ID.A.2

nicolemacy — 2023-10-21 23:58:30 UTC

AI.S-ID.A.3

nicolemacy — 2023-10-21 23:59:27 UTC

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

AI.S-ID.B.5

nicolemacy — 2023-10-21 23:59:52 UTC

Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

AI.S-ID.B.6

nicolemacy — 2023-10-22 00:00:07 UTC

Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

AI.S-ID.C.7

nicolemacy — 2023-10-22 00:01:39 UTC

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

AI.S-ID.C.8

nicolemacy — 2023-10-22 00:01:56 UTC

Compute (using technology) and interpret the correlation coefficient of a linear fit.

AI.S-ID.C.9

nicolemacy — 2023-10-22 00:02:08 UTC

Distinguish between correlation and causation.