CPALMS
 
spacer Course Icon spacer Course: Access M/J Mathematics 3 - 7812030
(Related Course: M/J Mathematics 3 - 1205070)

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Course Number: 7812030  
Course Title: Access M/J Mathematics 3  
Abbreviated Title: Access M/J Math 3  
Course Section: Exceptional Student Education  
Course Path: Section: Exceptional Student Education » Grade Group: Middle/Junior High » Subject: Academics - Subject Areas »
Number of Credits: NA  
Course Length: Year  
Course Type: Core  
Course Status: State Board Approved  
Effective Date: 12/28/2009  
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 provide students with significant cognitive disabilities access to the concepts and content of mathematics at the eighth grade level. The concepts of joining and separating quantities, fractions, proportion, estimation, and data analysis provide a means to analyze our environment, sequence, and predict outcomes of quantifiable events. The content should include, but not be limited to, the concepts of:

  • Whole numbers
  • Combining and separating quantities
  • Proportion/congruency
  • Fractions/per cent/decimals
  • Variables
  • Attributes of plane and solid figures
  • Angles
  • Data collection and analysis
  • Probability
  • Estimation
  • Ratio
  • Solving routine and non-routine quantitative problems
 
 

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Display The following Access Points in the list below:
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Benchmark #DescriptionCognitive Complexity
» LA.8.1.6.5: The student will relate new vocabulary to familiar words;  
» LA.8.2.2.3: The student will organize information to show understanding or relationships among facts, ideas, and events (e.g., representing key points within text through charting, mapping, paraphrasing, summarizing, or comparing/contrasting);  
» LA.8.3.1.2: The student will prewrite by making a plan for writing that addresses purpose, audience, main idea, logical sequence, and time frame for completion; and  
» MA.8.A.1.1: Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range, and the difference between discrete and continuous data . High  

MA.8.A.1.In.a
Use information from physical models, diagrams, tables, and graphs to solve addition, subtraction, multiplication, and division number sentence s (equations) based on real-world problem s.

MA.8.A.1.Su.a
Use information from physical models, diagrams, tables, and pictographs to solve number sentence s (equations) involving addition and subtraction with one-digit and two-digit numbers.

MA.8.A.1.Pa.a
Solve simple real-world problem s involving quantities using language, such as number names, more, less, same, larger, smaller, and none.

MA.8.A.1.Pa.b
Solve simple problems involving joining or separating sets of objects or pictures to 8.
» MA.8.A.1.2: Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem . Moderate  

MA.8.A.1.In.a
Use information from physical models, diagrams, tables, and graphs to solve addition, subtraction, multiplication, and division number sentence s (equations) based on real-world problem s.

MA.8.A.1.Su.a
Use information from physical models, diagrams, tables, and pictographs to solve number sentence s (equations) involving addition and subtraction with one-digit and two-digit numbers.

MA.8.A.1.Pa.a
Solve simple real-world problem s involving quantities using language, such as number names, more, less, same, larger, smaller, and none.

MA.8.A.1.Pa.b
Solve simple problems involving joining or separating sets of objects or pictures to 8.
» MA.8.A.1.3: Use tables, graphs, and models to represent, analyze, and solve real-world problem s related to systems of linear equations. High  

MA.8.A.1.In.b
Identify the relationship between two sets of related data, such as ordered number pairs in a table.

MA.8.A.1.Su.b
Describe the relationship (1 more or 1 less) between two sets of related numbers.

MA.8.A.1.Pa.a
Solve simple real-world problem s involving quantities using language, such as number names, more, less, same, larger, smaller, and none.

MA.8.A.1.Pa.b
Solve simple problems involving joining or separating sets of objects or pictures to 8.
» MA.8.A.1.4: Identify the solution to a system of linear equations using graphs. Moderate  

MA.8.A.1.In.c
Translate problem situations into number sentence s (equations) involving addition and subtraction of two-digit numbers and multiplication and division facts using information from physical and visual models, tables, and pictographs.

MA.8.A.1.Su.c
Translate real-world situations into number sentence s (equations) involving addition and subtraction using information from physical and visual models, tables, and pictographs.

MA.8.A.1.Pa.a
Solve simple real-world problem s involving quantities using language, such as number names, more, less, same, larger, smaller, and none.

MA.8.A.1.Pa.b
Solve simple problems involving joining or separating sets of objects or pictures to 8.
» MA.8.A.1.5: Translate among verbal, tabular, graphical, and algebraic representations of linear function s. Moderate  

MA.8.A.1.In.c
Translate problem situations into number sentence s (equations) involving addition and subtraction of two-digit numbers and multiplication and division facts using information from physical and visual models, tables, and pictographs.

MA.8.A.1.Su.c
Translate real-world situations into number sentence s (equations) involving addition and subtraction using information from physical and visual models, tables, and pictographs.

MA.8.A.1.Pa.c
Distinguish between the position of two objects, such as first and next.

MA.8.A.1.Pa.a
Solve simple real-world problem s involving quantities using language, such as number names, more, less, same, larger, smaller, and none.

MA.8.A.1.Pa.b
Solve simple problems involving joining or separating sets of objects or pictures to 8.
» MA.8.A.1.6: Compare the graphs of linear and non-linear function s for real-world situations. Moderate  

MA.8.A.1.Su.c
Translate real-world situations into number sentence s (equations) involving addition and subtraction using information from physical and visual models, tables, and pictographs.

MA.8.A.1.Pa.c
Distinguish between the position of two objects, such as first and next.
» MA.8.A.4.1: Solve literal equations for a specified variable. Low  

MA.8.A.4.In.a
Identify the meaning of the variables in stated formulas (literal equations) to solve problems involving area and perimeter.

MA.8.A.4.Su.a
Demonstrate how to determine the total length of all the sides (perimeter) of figures, such as rectangles, to solve problems.

MA.8.A.4.Pa.a
Identify a given quantity to 7 and add 1 more to solve problems.

MA.8.A.4.Pa.b
Identify a given quantity to 8 and take away 1 to solve problems.
» MA.8.A.4.2: Solve and graph one- and two-step inequalities in one variable. Moderate  

MA.8.A.4.In.b
Translate real-world problem situations into number sentence s (equations and inequalities) involving addition, subtraction, and multiplication using visual models, tables, and graphs.

MA.8.A.4.Su.b
Translate real-world problem situations into number sentence s (equations) involving addition and subtraction of one-digit and two-digit numbers using physical and visual models and tables.

MA.8.A.4.Pa.a
Identify a given quantity to 7 and add 1 more to solve problems.

MA.8.A.4.Pa.b
Identify a given quantity to 8 and take away 1 to solve problems.
» MA.8.A.6.1: Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems. Low  

MA.8.A.6.In.a
Express, represent, and use whole number s to 1000 in various contexts.

MA.8.A.6.Su.a
Express, represent, and use whole number s to 100 in various contexts.

MA.8.A.6.Pa.a
Identify quantity in sets to 8 using objects, pictures, symbols, or number names.
» MA.8.A.6.2: Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real number s and radical expressions. Moderate  

MA.8.A.6.In.b
Use a grouping strategy or place value to round whole number s to 1000 to the nearest ten or hundred to determine a reasonable estimate in problem situations, and check for accuracy.

MA.8.A.6.Su.b
Use counting, grouping, and place value to identify the value of whole number s to 100.

MA.8.A.6.Pa.b
Demonstrate one-to-one correspondence by counting objects or actions to 8.
» MA.8.A.6.3: Simplify real number expressions using the laws of exponents. Moderate  

MA.8.A.6.In.b
Use a grouping strategy or place value to round whole number s to 1000 to the nearest ten or hundred to determine a reasonable estimate in problem situations, and check for accuracy.

MA.8.A.6.Su.b
Use counting, grouping, and place value to identify the value of whole number s to 100.

MA.8.A.6.Pa.b
Demonstrate one-to-one correspondence by counting objects or actions to 8.
» MA.8.A.6.4: Perform operations on real number s (including integer exponents, radicals, percents, scientific notation , absolute value , rational number s, and irrational number s) using multi-step and real world problems. High  

MA.8.A.6.Su.c
Express, represent, and use fractions—such as halves, fourths, and thirds—using whole objects or sets, pictures, number names, and numerals in various contexts.

MA.8.A.6.Su.d
Identify percents including 50% and 100%.

MA.8.A.6.Pa.c
Recognize half and whole sets of objects to 8.
» MA.8.G.2.1: Use similar triangles to solve problems that include height and distances. High  

MA.8.G.2.In.a
Identify triangles that are the same shape but different size (similar) using physical and visual models.

MA.8.G.2.Su.a
Match triangles that are the same shape but different size (similar) using physical models.

MA.8.G.2.Pa.a
Recognize a triangle.
» MA.8.G.2.2: Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals. Low  

MA.8.G.2.In.b
Form intersecting lines and identify the angles as acute, obtuse, or right angles by matching to a model.

MA.8.G.2.Su.b
Identify angles formed by lines that cross (intersecting lines).

MA.8.G.2.Pa.b
Recognize corners and angles in two-dimensional shapes, including rectangles and triangles.
» MA.8.G.2.3: Demonstrate that the sum of the angles in a triangle is 180-degrees and apply this fact to find unknown measure of angles and the sum of angles in polygons. Moderate  

MA.8.G.2.In.c
Distinguish angles within triangles as acute, obtuse, or right angles using a right angle as a model.

MA.8.G.2.Su.c
Identify the angles within a triangle.

MA.8.G.2.Pa.b
Recognize corners and angles in two-dimensional shapes, including rectangles and triangles.
» MA.8.G.2.4: Validate and apply Pythagorean Theorem to find distances in real world situations or between points in the coordinate plane . Moderate  

MA.8.G.2.Su.d
Locate the right angle within a right triangle .

MA.8.G.2.Pa.c
Recognize the longest side (hypotenuse) of a right triangle .
» MA.8.G.5.1: Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived unit s to solve problems. High  

MA.8.G.5.In.a
Use tools, such as charts and technology, to convert measures within the same system, including money, length, time, and capacity.

MA.8.G.5.Su.a
Use tools, such as charts, to identify standard units of measurement for length, weight, capacity, and time.

MA.8.G.5.Pa.a
Recognize tools used for measurement, such as clocks, calendars, and rulers.
» MA.8.S.3.1: Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships. Moderate  

MA.8.S.3.In.a
Organize data into categories, identify the labels, and display in bar and simple line graphs.

MA.8.S.3.Su.a
Organize data in pictographs and match the labels for categories.

MA.8.S.3.Pa.a
Count the objects, pictures, or symbols used in a pictograph or chart and identify a total to 8.
» MA.8.S.3.2: Determine and describe how changes in data values impact measures of central tendency . Moderate  

MA.8.S.3.In.b
Determine the largest and smallest numbers in a set of data, the number that occurs most often (mode), and the number in the middle (median) of a set of data with up to 9 numbers.

MA.8.S.3.Su.b
Identify the number that occurs most frequently (mode) in a set of data with up to 5 numbers.

MA.8.S.3.Pa.a
Count the objects, pictures, or symbols used in a pictograph or chart and identify a total to 8.
 


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