CPALMS
 
spacer Course Icon spacer Course: Access Liberal Arts Mathematics - 7912070
(Related Course: Liberal Arts Mathematics - 1208300)

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Course Number: 7912070  
Course Title: Access Liberal Arts Mathematics  
Abbreviated Title: Access Lib Arts Math  
Course Section: Exceptional Student Education  
Course Path: Section: Exceptional Student Education » Grade Group: Senior High and Adult » Subject: Academics - Subject Areas »
Number of Credits: Course may be taken for up to two credits  
Course Length: Year  
Course Type: Core  
Course Status: State Board Approved  
Effective Date: 01/28/2010  
NCLB?
No Child Left Behind
Yes  
Class Size? Yes  
Requires HQT?
Highly Qualified Teacher
Yes  
General Notes:

Access courses are intended only for students with a significant cognitive disability. Access courses are designed to provide tiered access to the general curriculum through three levels of access points (Participatory, Supported, and Independent), which reflect increasing levels of complexity and depth of knowledge aligned with grade-level expectations. The access points included in access courses are intentionally designed to foster high expectations for students with significant cognitive disabilities.

The study of mathematics provides the means to organize, understand, and predict life’s events in quantifiable terms. Organizing life using numbers allows us to keep accurate records of objects and events, such as quantity, sequence, time, and money. Using numbers to understand the relationship between relative quantities or characteristics allows us to accurately problem solve and predict future outcomes of quantifiable events as conditions change. Many of life’s typical activities require competency in using numbers, operations, and algebraic thinking (e.g., counting, measuring, comparison shopping), geometric principles (e.g., shapes, area, volume), and data analysis (e.g., organizing information to suggest conclusions). Some students with significant cognitive disabilities will access and use traditional mathematical symbols and abstractions, while others may apply numeric principles using concrete materials in real-life activities. In any case, mathematics is one of the most useful skill sets and essential for students with significant cognitive disabilities. It provides a means to organize life and solve problems involving quantity and patterns, making life more orderly and predictable.

The purpose of this course is to develop the algebraic and geometric concepts and processes that can be used to analyze and solve a variety of routine and non-routine real-world and mathematical problems. The content should include, but not be limited to, the following:

  • content-related vocabulary
  • operations using real numbers in real-world problems
  • patterns, relations, and functions, including tables, sequences, and graphs
  • graphs to summarize data and predict outcomes 
  • variables and their impact on outcomes
  • properties of size, shape, position, and space
  • varied solution strategies to solve real-world problems
 
 

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Display The following Access Points in the list below:
select
Benchmark #DescriptionCognitive Complexity
» MA.912.A.1.3: Simplify real number expressions using the laws of exponents. Low  

MA.912.A.1.In.e
Simplify fractions and decimals by reducing to lowest terms.

MA.912.A.1.In.f
Simplify fractions greater than 1, such as 8/4, by using division facts.

MA.912.A.1.Su.d
Simplify whole number s to 100 using place value and grouping with visual representation.

MA.912.A.1.Pa.c
Demonstrate one-to-one correspondence by counting objects or actions to 10.
» MA.912.A.1.4: Perform operations on real number s (including integer exponents, radicals, percents, scientific notation , absolute value , rational number s, irrational number s) using multi-step and real-world problem s. Moderate  

MA.912.A.1.In.g
Select the operation and solve two-step mathematical problems involving addition, subtraction, multiplication, and division of two- and three-digit numbers in real-world situations using problem-solving strategies, such as recognizing symbols and key info

MA.912.A.1.Su.e
Use repeated addition of the same number to solve one-digit multiplication facts and repeated subtraction of the same number to solve one-digit division facts in real-world situations.

MA.912.A.1.Su.f
Select the operation and solve one-step mathematical problems involving addition and subtraction of one-digit and two-digit numbers in real-world situations using physical and visual representations and problem-solving strategies, such as recognizing key

MA.912.A.1.Pa.d
Identify a given quantity to 9 and add 1 more to solve problems.

MA.912.A.1.Pa.e
Identify a given quantity to 10 and take away 1 to solve problems.
» MA.912.A.2.1: Create a graph to represent a real-world situation. Moderate  

MA.912.A.2.In.a
Organize data from real-world situations into categories, identify the labels, and display in simple bar, line, and circle graph s.

MA.912.A.2.Su.a
Organize data from real-world situations into categories, identify the labels, and display in pictographs and bar graph s.

MA.912.A.2.Pa.a
Count objects, pictures, or symbols used in a pictograph or chart and identify total to 10.
» MA.912.A.2.2: Interpret a graph representing a real-world situation. Moderate  

MA.912.A.2.In.b
Interpret simple bar, line, and circle graph s representing data from real-world situations.

MA.912.A.2.Su.b
Identify which categories have the largest, smallest, or the same amount in pictographs and bar graph s representing real-world situations.

MA.912.A.2.Pa.a
Count objects, pictures, or symbols used in a pictograph or chart and identify total to 10.
» MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Moderate  

MA.912.A.2.In.c
Identify the mathematical relationship (function) and the type of information represented in a function table or simple graph.

MA.912.A.2.Su.c
Identify number patterns and relationships using physical and visual models representing real-world situations.

MA.912.A.2.Pa.b
Compare sets to 10 of objects, pictures, or symbols using one-to-one correspondence and identify which has more or less.
» MA.912.A.3.3: Solve literal equations for a specified variable. Moderate  

MA.912.A.3.In.d
Solve equations involving common literal formulas related to real-world situations.

MA.912.A.3.Su.c
Solve equations involving addition and subtraction using visual models, such as a number line, in real-world situations.

MA.912.A.3.Pa.a
Identify quantities to 9 or more and add 1 more in real-world situations.

MA.912.A.3.Pa.b
Identify quantities to 10 or more and take 1 away in real-world situations.
» MA.912.A.3.4: Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution. Moderate  

MA.912.A.3.In.a
Solve equations with one unknown (variable) involving addition, multiplication, subtraction, and division of whole number s representing problems in real-world situations.

MA.912.A.3.In.e
Solve real-world equations and inequalities with one unknown (variable) using visual models to represent the procedure.

MA.912.A.3.Su.d
Use the concepts of equality and inequality as strategies to solve problems involving real-world situations.

MA.912.A.3.Su.a
Solve number sentence s (equations) involving addition and subtraction of one-digit and two-digit whole number s based on real-world situations using visual models.

MA.912.A.3.Pa.c
Identify quantities to 10 as equal or unequal.
» MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities. Moderate  

MA.912.A.3.In.f
Solve real-world equations and inequalities with one unknown (variable) using visual models to represent the procedure.

MA.912.A.3.Su.c
Solve equations involving addition and subtraction using visual models, such as a number line, in real-world situations.

MA.912.A.3.Su.d
Use the concepts of equality and inequality as strategies to solve problems involving real-world situations.

MA.912.A.3.Pa.c
Identify quantities to 10 as equal or unequal.
» MA.912.A.3.7: Rewrite equations of a line into slope-intercept form and standard form. Low  

MA.912.A.3.In.g
Create function table s and simple graphs that show the mathematical relationship between number pairs.

MA.912.A.3.Su.e
Identify the mathematical relationship between number pairs in function table s, such as +2 or -3.

MA.912.A.3.Pa.d
Sort sets of objects to 10 into groups by quantity.
» MA.912.A.3.8: Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form . Moderate  

MA.912.A.3.In.g
Create function table s and simple graphs that show the mathematical relationship between number pairs.

MA.912.A.3.Su.e
Identify the mathematical relationship between number pairs in function table s, such as +2 or -3.

MA.912.A.3.Pa.d
Sort sets of objects to 10 into groups by quantity.
» MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Moderate  

MA.912.A.3.In.g
Create function table s and simple graphs that show the mathematical relationship between number pairs.

MA.912.A.3.Su.e
Identify the mathematical relationship between number pairs in function table s, such as +2 or -3.

MA.912.A.3.Pa.d
Sort sets of objects to 10 into groups by quantity.
» MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Moderate  

MA.912.A.3.In.h
Use function table s and simple graphs representing equations to make predictions for real-world situations.

MA.912.A.3.Su.f
Use function table s and simple pictographs or bar graph s representing equations to make predictions for real-world situations.

MA.912.A.3.Pa.e
Count objects, pictures, or symbols used in a pictograph or chart and identify which category has the largest quantity.
» MA.912.A.3.11: Write an equation of a line that models a data set, and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change. High  

MA.912.A.3.In.h
Use function table s and simple graphs representing equations to make predictions for real-world situations.

MA.912.A.3.Su.f
Use function table s and simple pictographs or bar graph s representing equations to make predictions for real-world situations.

MA.912.A.3.Pa.e
Count objects, pictures, or symbols used in a pictograph or chart and identify which category has the largest quantity.
» MA.912.A.3.13: Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology. Moderate  

MA.912.A.3.In.h
Use function table s and simple graphs representing equations to make predictions for real-world situations.

MA.912.A.3.Su.f
Use function table s and simple pictographs or bar graph s representing equations to make predictions for real-world situations.

MA.912.A.3.Pa.e
Count objects, pictures, or symbols used in a pictograph or chart and identify which category has the largest quantity.
» MA.912.A.7.2: Solve quadratic equations over the real number s by factoring and by using the quadratic formula. Moderate  

MA.912.A.7.In.b
Compare quantities from real-world situations represented on a graph and explain similarities and differences.

MA.912.A.7.Su.b
Compare quantities from similar real-world situations represented on a graph.

MA.912.A.7.Pa.a
Compare the number of objects, pictures, or symbols used in a three-category pictograph to identify which groups have more or less.
» MA.912.G.1.1: Find the lengths and midpoints of line segments in two-dimensional coordinate systems. Moderate  

MA.912.G.1.In.a
Find the length and midpoint of line segments in real-world situations.

MA.912.G.1.Su.a
Determine the midpoint of a line segment.

MA.912.G.1.Pa.a
Recognize the ends and middle of a line segment.
» MA.912.G.1.4: Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines. Moderate  

MA.912.G.1.In.c
Locate and identify points on coordinate plane s, such as line graphs or maps, using ordered pair s of numbers.

MA.912.G.1.Su.d
Locate specified points on a coordinate plane , such as a simple map represented on a grid.

MA.912.G.1.Pa.c
Solve real-world problem s involving points, lines, angles, and areas (planes) using directional and positional language.
» MA.912.G.2.3: Use properties of congruent and similar polygons to solve mathematical or real-world problem s. High  

MA.912.G.2.In.c
Identify triangles and rectangles that are the same shape and size (congruent) and same shape, but not same size (similar) using physical and visual models.

MA.912.G.2.Su.c
Match triangles and rectangles that are same shape, but different size (similar) using physical and visual models.

MA.912.G.2.Pa.b
Match two or more objects with polygons based on a given feature in real-world situations.
» MA.912.G.2.5: Explain the derivation and apply formulas for perimeter and area of polygons (triangles, quadrilaterals, pentagons, etc.). Moderate  

MA.912.G.2.In.e
Find the perimeter and area of rectangles to solve real-world problem s.

MA.912.G.2.Su.e
Solve real-world problem s involving perimeter using visual models.

MA.912.G.2.Su.f
Solve real-world problem s to find area of a rectangle to identify total square units using visual models.

MA.912.G.2.Pa.c
Identify objects, pictures, or signs with polygons in real-world situations.
» MA.912.G.2.7: Determine how changes in dimensions affect the perimeter and area of common geometric figures. Moderate  

MA.912.G.2.In.f
Identify the effects of changes in the lengths of sides on the perimeter and area of rectangles using visual models to solve real-world problem s.

MA.912.G.2.Su.g
Identify the effect of changes in the lengths of sides of rectangles on perimeter using physical and visual models.

MA.912.G.2.Pa.c
Identify objects, pictures, or signs with polygons in real-world situations.
» MA.912.G.3.1: Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, rhombus, parallelogram, trapezoid, and kite. Moderate  

MA.912.G.3.In.a
Identify four-sided shapes (quadrilaterals), such as square, rectangle, rhombus, and diamond, in the environment using visual models.

MA.912.G.3.Su.a
Identify four-sided shapes (quadrilaterals), such as square, rectangle, and diamond, in the environment using physical and visual models.

MA.912.G.3.Pa.a
Identify objects, pictures, or signs with four-sided shapes (quadrilaterals) in real-world situations.
» MA.912.G.4.4: Use properties of congruent and similar triangles to solve problems involving lengths and areas. Moderate  

MA.912.G.4.In.c
Measure sides and angles of triangles to determine whether triangles are the same size and shape (congruent) or the same shape, but different size (similar).

MA.912.G.4.Su.b
Measure the length of sides of triangles to verify if two triangles are the same shape and size (congruent).

MA.912.G.4.Pa.b
Match two or more objects with a triangle based on a given feature, such as the length of the side or size of the angle, in real-world situations.
» MA.912.G.5.3: Use special right triangle s (30° - 60° - 90° and 45° - 45° - 90° ) to solve problems. Moderate  

MA.912.G.5.In.b
Identify examples of different kinds of right triangle s in the environment using physical models.

MA.912.G.5.Su.b
Locate the right angle of right triangle s and side opposite the right angle (hypotenuse) in the environment.

MA.912.G.5.Pa.a
Identify objects, pictures, or signs with a right triangle .

MA.912.G.5.Pa.b
Match objects, pictures, or signs with a right triangle by a given feature, such as length of sides.
» MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids. Moderate  

MA.912.G.7.In.c
Measure rectangular prisms to find the volume using the literal formula: length x width x height.

MA.912.G.7.Su.b
Compare volumes of three-dimensional solids in real-world situations.

MA.912.G.7.Pa.b
Match two or more objects with three-dimensional solids based on a given feature, such as the number of faces or overall size, in real-world situations.
» MA.912.G.7.7: Determine how changes in dimensions affect the surface area and volume of common geometric solid s. Moderate  

MA.912.G.7.In.e
Identify the effect of changes in the lengths of the sides of cubes or rectangular prisms on the volume using physical and visual models.

MA.912.G.7.Su.c
Identify that changes in the lengths of sides of cubes or rectangular prisms will make the volume smaller or larger using physical models.

MA.912.G.7.Pa.c
Match two or more objects with three-dimensional solids based on a given feature, such as the number of faces or overall size, in real-world situations.
» MA.912.G.8.2: Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards. Moderate  
» MA.912.G.8.3: Determine whether a solution is reasonable in the context of the original situation. Moderate  

MA.912.G.8.In.b
Use problem-solving strategies, including visual and physical models and tools, for solving real-world problem s involving geometry concepts and skills.

MA.912.G.8.Su.b
Use given problem-strategies, including using visual or physical models, for solving real-world problem s involving geometry concepts and skills.

MA.912.G.8.Pa.b
Solve real-world problem s involving objects with two- and three-dimensional shapes and match the result to the correct answer to determine accuracy.
» MA.912.S.3.1: Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include:
Moderate  

MA.912.S.3.In.a
Describe information in bar graph s, circle graph s, and single-line graph s representing data from real-world situations.

MA.912.S.3.Su.a
Identify information in simple pictographs and bar graph s that represent data from real-world situations.

MA.912.S.3.Pa.a
Identify quantity in data sets of 10 by counting objects, pictures, or symbols and identify which category has more, less, or none.
» MA.912.S.3.2: Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following:
  • bar graphs
  • line graphs
  • stem and leaf plots
  • circle graphs
  • histograms
  • box and whisker plots
  • scatter plots
  • cumulative frequency (ogive) graphs
High  

MA.912.S.3.In.b
Collect data and display in single-line graph s, circle graph s, and bar graph s.

MA.912.S.3.Su.b
Organize data in pictographs and bar graph s and identify the labels for categories.

MA.912.S.3.Pa.a
Identify quantity in data sets of 10 by counting objects, pictures, or symbols and identify which category has more, less, or none.
» MA.912.S.3.3: Calculate and interpret measures of the center of a set of data, including mean, median, and weighted mean, and use these measures to make comparisons among sets of data. Moderate  

MA.912.S.3.In.c
Determine the mode by identifying the number that occurs most often and the mean by finding the average.

MA.912.S.3.Su.c
Identify the number that occurs most frequently (mode) in a set of data with up to nine numbers.

MA.912.S.3.Pa.a
Identify quantity in data sets of 10 by counting objects, pictures, or symbols and identify which category has more, less, or none.
» MA.912.S.3.5: Calculate and interpret the range and quartiles of a set of data. Moderate  

MA.912.S.3.In.d
Calculate the range and median for data from real-world situations.

MA.912.S.3.Su.d
Find the difference between the largest and smallest numbers in a set of data (range) and the median in a real-world situation.

MA.912.S.3.Pa.a
Identify quantity in data sets of 10 by counting objects, pictures, or symbols and identify which category has more, less, or none.
 


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