● For your Common Core curriculum.
● These Common Core Standards supplements have been revised to tighten alignment and better reflect current interpretations of CCSS content and practices, based on implementation experience.
● Each book contains a collection of activity sets focusing on Number and Quantity, Algebra, Functions, and Statistics and Probability.
● Each activity set consists of 4 different stations (10-15 minutes each) where students work in small groups on multiple sets of activities, moving from station to station once their activities are complete.
● A debrief discussion follows the station activities.
● Uses readily available materials and manipulatives (not included).
● Includes teacher support with discussion guides, answer keys, and materials lists.
● 282 pages.
● Grades 9-12.
● HSN.Q.1 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.
● HSN.VM.7 (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.
● < Use the structure of an expression to identify ways to rewrite it.
● For example, see x4 - y4 as (x²)² - (y²)², thus recognizing it as a difference of squares that can be factored as (x² - y²)(x² + y²).
● HSA.SSE.3a Factor a quadratic expression to reveal the zeros of the function it defines.
● HSA.SSE.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
● HSA.SSE.3c Use the properties of exponents to transform expressions for exponential functions.
● For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
● HSA.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication, add, subtract, and multiply polynomials.
● HSA.CED.1 Create equations and inequalities in one variable and use them to solve problems.
● Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
● HSA.CED.2 Create equations in two or more variables to represent relationships between quantities, graph equations on coordinate axes with labels and scales.
● HSA.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
● For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
● HSA.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
● For example, rearrange Ohm’s law V = IR to highlight resistance R.
● HSA.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
● HSA.REI.4a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)² = q that has the same solutions.
● Derive the quadratic formula from this form.
● HSA.REI.4b Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.
● Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
● HSA.REI.5 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.
● HSA.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
● HSA.REI.10 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).
● HSA.REI.12 Graph the solutions to 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 to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
● HSF.IF.1 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 ƒ is a function and x is an element of its domain, then ƒ(x) denotes the output of ƒ corresponding to the input x.
● The graph of ƒ is the graph of the equation y = ƒ(x).
● HSF.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
● HSF.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima.
● HSF.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
● HSF.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
● HSF.IF.7d (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
● HSF.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
● HSF.BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context.
● HSF.BF.1b Combine standard function types using arithmetic operations.
● For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
● HSF.BF.1c (+) Compose functions.
● For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
● HSS.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).
● HSS.ID.2 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.
● HSS.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
● HSS.ID.6a Fit a function to the data, use functions fitted to data to solve problems in the context of the data.
● Use given functions or choose a function suggested by the context.
● Emphasize linear, quadratic, and exponential models.
● HSS.ID.6b Informally assess the fit of a function by plotting and analyzing residuals.
● HSS.ID.6c Fit a linear function for a scatter plot that suggests a linear association.
● HSS.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
● HSS.CP.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and, ” “not”).
● HSS.CP.2 Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
● HSS.CP.3 Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.