High School Math Element Cards

Resource ID#: 166784 Type: Element Cards

General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators
Keywords: Element Cards, Access Points math concepts
Instructional Component Type(s): Element Cards Lesson Plan
Instructional Design Framework(s): Direct Instruction
Resource Collection: Student Support Resources

Aligned Standards

This vetted resource aligns to concepts or skills in these benchmarks.

Aligned Access Points

This vetted resource aligns to concepts or skills in these access points.

MAFS.912.A-APR.1.AP.1a
Understand the definition of a polynomial.

MAFS.912.A-APR.1.AP.1b
Understand the concepts of combining like terms and closure.

MAFS.912.A-APR.1.AP.1c
Add, subtract, and multiply polynomials and understand how closure applies under these operations.

MAFS.912.A-APR.2.AP.3a
Find the zeros of a polynomial when the polynomial is factored (e.g., If given the polynomial equation y = x2 + 5x + 6, factor the polynomial as y = (x + 3)(x + 2). Then find the zeros of y by setting each factor equal to zero and solving. x = -2 and x = -3 are the two zeroes of y.).

MAFS.912.A-APR.2.AP.3b
Use the zeros of a function to sketch a graph of the function.

MAFS.912.A-CED.1.AP.1a
Create linear, quadratic, rational, and exponential equations and inequalities in one variable and use them in a contextual situation to solve problems.

MAFS.912.A-CED.1.AP.2a
Graph equations in two or more variables on coordinate axes with labels and scales.

MAFS.912.A-CED.1.AP.3a
Identify and interpret the solution of a system of linear equations from a real-world context that has been graphed.

MAFS.912.A-CED.1.AP.4a
Solve multi-variable formulas or literal equations for a specific variable.

MAFS.912.A-REI.1.AP.1a
Solve equations with one or two variables and explain the process.

MAFS.912.A-REI.2.AP.3a
Solve linear equations in one variable, including coefficients represented by letters.

MAFS.912.A-REI.2.AP.3b
Solve linear inequalities in one variable, including coefficients represented by letters.

MAFS.912.A-REI.1.AP.2a
Solve simple rational and radical equations in one variable.

MAFS.912.A-REI.2.AP.4a
Solve quadratic equations by completing the square.

MAFS.912.A-REI.2.AP.4b
Solve quadratic equations by using the quadratic formula.

MAFS.912.A-REI.2.AP.4c
Solve quadratic equations by factoring.

MAFS.912.A-REI.3.AP.5a
Create a multiple of a linear equation showing that they are equivalent (e.g., x + y = 6 is equivalent to 2x + 2y = 12).

MAFS.912.A-REI.3.AP.5b
Find the sum of two equations.

MAFS.912.A-REI.3.AP.6a
Given a graph, describe or select the solution to a system of linear equations.

MAFS.912.A-REI.4.AP.10a
Identify and graph the solutions (ordered pairs) on a graph of an equation in two variables.

MAFS.912.A-REI.4.AP.11a
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically

MAFS.912.A-REI.4.AP.12a
Graph a linear inequality in two variables using at least two coordinate pairs that are solutions.

MAFS.912.A-REI.4.AP.12b
Graph a system of linear inequalities in two variables using at least two coordinate pairs for each inequality.

MAFS.912.A-SSE.1.AP.1a
Identify the different parts of the expression and explain their meaning within the context of a problem.

MAFS.912.A-SSE.2.AP.3a
Write expressions in equivalent forms by factoring to find the zeros of a quadratic function and explain the meaning of the zeros.

MAFS.912.A-SSE.1.AP.1b
Decompose expressions and make sense of the multiple factors and terms by explaining the meaning of the individual parts.

MAFS.912.A-SSE.2.AP.3b
Given a quadratic function, explain the meaning of the zeros of the function (e.g., if f(x) = (x - c) (x - a) then f(a) = 0 and f(c) = 0).

MAFS.912.A-SSE.2.AP.3c
Given a quadratic expression, explain the meaning of the zeros graphically (e.g., for an expression (x - a) (x - c), a and c correspond to the x-intercepts (if a and c are real).

MAFS.912.F-BF.1.AP.1a
Select a function that describes a relationship between two quantities (e.g., relationship between inches and centimeters, Celsius Fahrenheit, distance = rate x time, recipe for peanut butter and jelly- relationship of peanut butter to jelly f(x)=2x, where x is the quantity of jelly, and f(x) is peanut butter.

MAFS.912.F-BF.2.AP.3a
Write or select the graph that represents a defined change in the function (e.g., recognize the effect of changing k on the corresponding graph).

MAFS.912.F-IF.1.AP.1a
Demonstrate that to be 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.

MAFS.912.F-IF.1.AP.1b
Map elements of the domain sets to the corresponding range sets of functions and determine the rules in the relationship.

MAFS.912.F-IF.1.AP.2a
Match the correct function notation to a function or a model of a function (e.g., x f(x) y).

MAFS.912.F-IF.1.AP.3a
Recognize that the domain of a sequence is a subset of the integers. .

MAFS.912.F-IF.2.AP.4a
Recognize and interpret the key features of a function.

MAFS.912.F-IF.2.AP.4b
Select the graph that matches the description of the relationship between two quantities in the function.

MAFS.912.F-IF.2.AP.5a
Given the graph of a function, determine the domain.

MAFS.912.F-IF.2.AP.6a
Describe the rate of change of a function using words.

MAFS.912.F-IF.2.AP.6b
Describe the rate of change of a function using numbers.

MAFS.912.F-IF.2.AP.6c
Pair the rate of change with its graph.

MAFS.912.F-IF.3.AP.7a
Select a graph of a function that displays its symbolic representation (e.g., f(x) = 3x + 5).

MAFS.912.F-IF.3.AP.7b
Locate the key features of linear and quadratic equations.

MAFS.912.F-IF.3.AP.8a
Write or select an equivalent form of a function [e.g., y = mx + b, f(x) = y, y – y1 = m(x – x1), Ax + By = C].

MAFS.912.F-IF.3.AP.8b
Describe the properties of a function (e.g., rate of change, maximum, minimum, etc.).

MAFS.912.F-IF.3.AP.9a
Compare the properties of two functions.

MAFS.912.F-LE.1.AP.1a
Select the appropriate graphical representation of a linear model based on real-world events.

MAFS.912.G-C.1.AP.1a
Compare the ratio of diameter to circumference for several circles to establish all circles are similar.

MAFS.912.G-CO.1.AP.3a
Describe the rotations and reflections of a rectangle, parallelogram, trapezoid, or regular polygon that maps each figure onto itself.

MAFS.912.G-CO.1.AP.5a
Transform a geometric figure given a rotation, reflection, or translation using graph paper, tracing paper, or geometric software.

MAFS.912.G-CO.2.AP.7a
Use definitions to demonstrate congruency and similarity in figures.

MAFS.912.G-CO.1.AP.1a
Identify precise definitions of angle, circle, perpendicular line, parallel line and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

MAFS.912.G-CO.1.AP.2a
Represent transformations in the plane using, e.g., transparencies and geometry software.

MAFS.912.G-CO.1.AP.2b
Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

MAFS.912.G-CO.1.AP.4a
Using previous comparisons and descriptions of transformations, develop and understand the meaning of rotations, reflections, and translations based on angles, circles, perpendicular lines, parallel lines, and line segments.

MAFS.912.G-CO.1.AP.5b
Create sequences of transformations that map a geometric figure on to itself and another geometric figure.

MAFS.912.G-CO.2.AP.6a
Use descriptions of rigid motion and transformed geometric figures to predict the effects rigid motion has on figures in the coordinate plane.

MAFS.912.G-CO.2.AP.6b
Knowing that rigid transformations preserve size and shape or distance and angle, use this fact to connect the idea of congruency and develop the definition of congruent.

MAFS.912.G-CO.2.AP.8a
Use the definition of congruence, based on rigid motion, to develop and explain the triangle congruence criteria; ASA, SSS, and SAS.

MAFS.912.G-CO.3.AP.9a
Measure lengths of line segments and angles to establish the facts about the angles created when parallel lines are cut by a transversal and the points on a perpendicular bisector.

MAFS.912.G-CO.3.AP.10a
Measure the angles and sides of equilateral, isosceles, and scalene triangles to establish facts about triangles.

MAFS.912.G-CO.3.AP.11a
Measure the angles and sides of parallelograms to establish facts about parallelograms.

MAFS.912.G-CO.4.AP.12a
Copy a segment.

MAFS.912.G-CO.4.AP.12b
Copy an angle.

MAFS.912.G-CO.4.AP.12c
Bisect a segment.

MAFS.912.G-CO.4.AP.12d
Bisect an angle.

MAFS.912.G-CO.4.AP.12e
Construct perpendicular lines, including the perpendicular bisector of a line segment.

MAFS.912.G-CO.4.AP.12f
Construct a line parallel to a given line through a point not on the line.

MAFS.912.G-CO.4.AP.13a
Construct an equilateral triangle, a square and a regular hexagon inscribed in a circle.

MAFS.912.G-GMD.2.AP.4a
Identify shapes created by cross sections of two-dimensional and three-dimensional figures.

MAFS.912.G-SRT.1.AP.1a
Given a center and a scale factor, verify experimentally that when dilating a figure in a coordinate plane, a segment of the pre-image that does not pass through the center of the dilation, is parallel to its image when the dilation is performed. However, a segment that passes through the center remains unchanged.

MAFS.912.G-SRT.1.AP.2a
Determine if two figures are similar.

MAFS.912.G-SRT.1.AP.2b
Given two figures, determine whether they are similar and explain their similarity based on the equality of corresponding angles and the proportionality of corresponding sides.

MAFS.912.G-SRT.1.AP.1b
Given a center and a scale factor, verify experimentally that when performing dilations of a line segment, the pre-image, the segment which becomes the image is longer or shorter based on the ratio given by the scale factor.

MAFS.912.G-SRT.1.AP.3a
Apply the angle-angle (AA) criteria for triangle similarity on two triangles.

MAFS.912.G-SRT.2.AP.4a
Establish facts about the lengths of segments of sides of a triangle when a line parallel to one side of the triangles divides the other two sides proportionally.

MAFS.912.G-SRT.2.AP.5a
Apply the criteria for triangle congruence and/or similarity (angle-side-angle [ASA], side-angle-side [SAS], side-side-side [SSS], angle-angle [AA] to determine if geometric shapes that divide into triangles are or are not congruent and/or can be similar.

MAFS.912.G-SRT.3.AP.6a
Using a corresponding angle of similar right triangles, show that the relationships of the side ratios are the same, which leads to the definition of trigonometric ratios for acute angles.

MAFS.912.G-SRT.3.AP.7a
Explore the sine of an acute angle and the cosine of its complement and determine their relationship.

MAFS.912.N-Q.1.AP.1a
Interpret units in the context of the problem.

MAFS.912.N-Q.1.AP.1b
When solving a multi-step problem, use units to evaluate the appropriateness of the solution.

MAFS.912.N-Q.1.AP.1c
Choose the appropriate units for a specific formula and interpret the meaning of the unit in that context.

MAFS.912.N-Q.1.AP.3a
Describe the accuracy of measurement when reporting quantities (you can lessen your limitations by measuring precisely).

MAFS.912.N-Q.1.AP.1d
Choose and interpret both the scale and the origin in graphs and data displays.

MAFS.912.N-Q.1.AP.2a
Determine and interpret appropriate quantities when using descriptive modeling.

MAFS.912.N-RN.1.AP.2a
Convert from radical representation to using rational exponents and vice versa.

MAFS.912.N-RN.2.AP.3a
Know and justify that when adding or multiplying two rational numbers the result is a rational number.

MAFS.912.N-RN.1.AP.1a
Understand that the denominator of the rational exponent is the root index and the numerator is the exponent of the radicand (e.g., 51/2 = √5). Extend the properties of exponents to justify that (51/2)2=5

MAFS.912.N-RN.1.AP.1b
Extend the properties of exponents to justify that (51/2)2=5

MAFS.912.N-RN.2.AP.3b
Know and justify that when adding a rational number and an irrational number the result is irrational.

MAFS.912.N-RN.2.AP.3c
Know and justify that when multiplying of a nonzero rational number and an irrational number the result is irrational.

MAFS.912.S-ID.1.AP.1a
Complete a graph given the data, using dot plots, histograms or box plots.

MAFS.912.S-ID.1.AP.2a
Describe a distribution using center and spread

MAFS.912.S-ID.1.AP.4a
Use descriptive stats like range, median, mode, mean and outliers/gaps to describe the data set.

MAFS.912.S-ID.2.AP.5a
Recognize associations and trends in data from a two-way table.

MAFS.912.S-ID.2.AP.6a
Create a scatter plot from two quantitative variables.

MAFS.912.S-ID.2.AP.6b
Describe the form, strength, and direction of the relationship.

MAFS.912.S-ID.3.AP.7a
Interpret the meaning of the slope and y-intercept in context.

MAFS.912.S-ID.1.AP.2b
Use the correct measure of center and spread to describe a distribution that is symmetric or skewed.

MAFS.912.S-ID.1.AP.2c
Identify outliers (extreme data points) and their effects on data sets.

MAFS.912.S-ID.1.AP.2d
Compare two or more different data sets using the center and spread of each.

MAFS.912.S-ID.1.AP.3a
Use statistical vocabulary to describe the difference in shape, spread, outliers and the center (mean).

MAFS.912.S-ID.2.AP.6c
Categorize data as linear or not.

MAFS.912.S-ID.2.AP.6d
Use algebraic methods and technology to fit a linear function to the data.

MAFS.912.S-ID.2.AP.6e
Use the function to predict values.

MAFS.912.S-ID.2.AP.6f
Explain the meaning of the constant and coefficients in context.

MAFS.912.S-ID.3.AP.8a
Identify the correlation coefficient (r) of a linear fit.

MAFS.912.S-ID.3.AP.8b
Describe the correlation coefficient (r) of a linear fit (e.g., a strong or weak positive, negative, perfect correlation).

MAFS.912.S-ID.3.AP.9a
Given a correlation in a real-world scenario, determine if there is causation.

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