CPALMS
 
spacer Course Icon spacer Course: Access M/J Mathematics 1 - 7812015
(Related Course: M/J Mathematics 1 - 1205010)

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Course Number: 7812015  
Course Title: Access M/J Mathematics 1  
Abbreviated Title: Access M/J Math 1  
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 sixth grade level. The concepts of joining and separating quantities, part-to-whole (fractions), measurement, rate, equality, 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
  • Mathematical properties
  • Fractions
  • Equality/inequality
  • Attributes of plane and solid figures
  • Data collection and analysis
  • Estimation
  • Rate
  • Ratio
  • Measurement
  • Solving routine and non-routine quantitative problems
 
 

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Display The following Access Points in the list below:
select
Benchmark #DescriptionCognitive Complexity
» LA.6.1.6.5: The student will relate new vocabulary to familiar words;  
» LA.6.4.2.2: The student will record information (e.g., observations, notes, lists, charts, legends) related to a topic, including visual aids to organize and record information and include a list of sources used;  
» MA.6.A.1.1: Explain and justify procedures for multiplying and dividing fractions and decimals. Moderate  

MA.6.A.1.In.a
Express and represent fractions, including halves, fourths, thirds, and eighths, using number names and numerals.

MA.6.A.1.Su.a
Express, represent, and use fractions, including halves, fourths, and thirds, as parts of a whole and as parts of a set, using number names.

MA.6.A.1.Pa.a
Recognize part (half) of sets of objects to 4.
» MA.6.A.1.2: Multiply and divide fractions and decimals efficiently. Low  

MA.6.A.1.In.b
Identify multiplication as repeated addition of equal groups and multiply one-digit numbers using physical and visual models with numerals.

MA.6.A.1.In.c
Identify division as repeated subtraction of equal groups and divide one-digit numbers using physical and visual models with numerals.

MA.6.A.1.Su.b
Combine (multiply) equal sets with quantities to 30 using objects and pictures with numerals.

MA.6.A.1.Su.c
Use counting and grouping to separate (divide) quantities to 30 into sets with the same number using objects or pictures.

MA.6.A.1.Pa.a
Recognize part (half) of sets of objects to 4.
» MA.6.A.1.3: Solve real-world problem s involving multiplication and division of fractions and decimals. High  

MA.6.A.1.Su.d
Solve real-world problem s involving fractions, including halves, fourths, and thirds using real objects or physical models.

MA.6.A.1.Pa.b
Solve simple problems involving joining and separating parts of a set or parts of a whole.
» MA.6.A.2.1: Use reasoning about multiplication and division to solve ratio and rate problems. High  

MA.6.A.2.In.a
Identify the meaning of common uses of ratio, such as equivalent fractions and mixtures.

MA.6.A.2.Su.a
Recognize the meaning of a simple ratio, such as 2 to 1.

MA.6.A.2.Pa.a
Recognize differences in quantity in two sets of objects to 6.
» MA.6.A.2.2: Interpret and compare ratios and rates. Moderate  

MA.6.A.2.Su.b
Identify one meaning of rate, including how fast something moves or happens.

MA.6.A.2.Pa.b
Recognize changes in rates of movement (fast and slow).
» MA.6.A.3.1: Write and evaluate mathematical expressions that correspond to given situations. Moderate  

MA.6.A.3.In.a
Write and solve number sentence s (equations) that correspond to real-world problem situations involving addition and subtraction with two-digit numbers.

MA.6.A.3.Su.a
Write and solve number sentence s (equations) that correspond to real-world problem situations involving addition and subtraction with one-digit numbers.

MA.6.A.3.Pa.a
Solve simple problems involving small quantities using language, such as more, less, same, and none.
» MA.6.A.3.2: Write, solve, and graph one- and two- step linear equations and inequalities. Moderate  

MA.6.A.3.In.b
Use models and diagrams to solve problems with inequalities, including the > and < signs.="">

MA.6.A.3.Su.b
Use physical models and diagrams to solve problems with inequalities, including the terms more than and less than.

MA.6.A.3.Pa.a
Solve simple problems involving small quantities using language, such as more, less, same, and none.
» MA.6.A.3.3: Work backward with two-step function rules to undo expressions. Moderate  

MA.6.A.3.In.c
Identify function rules with addition and subtraction of one-digit numbers represented in number pairs, such as +5, -4 or +3.

MA.6.A.3.Su.c
Identify function rules of 1 more and 1 less represented in number pairs, such as 5 is 1 more than 4 and 3 is 1 less than 4.

MA.6.A.3.Pa.b
Identify quantity in sets of objects to 6 and add 1 more.
» MA.6.A.3.4: Solve problems given a formula. Moderate  

MA.6.A.3.In.e
Solve addition and subtraction number sentence s (equations) using information from physical models, diagrams, and tables.

MA.6.A.3.Su.d
Use information from physical models, diagrams, tables, and pictographs to solve number sentence s (equations) involving addition and subtraction with one-digit numbers.

MA.6.A.3.Pa.b
Identify quantity in sets of objects to 6 and add 1 more.
» MA.6.A.3.5: Apply the Commutative, Associative, and Distributive Properties to show that two expressions are equivalent. Moderate  

MA.6.A.3.In.d
Use the Commutative and Associative Properties of addition to show that two number sentence s (equations) are equal.

MA.6.A.3.Su.e
Use the Commutative Property of addition to show that two number sentence s represented by physical and visual models are equal.

MA.6.A.3.Pa.c
Determine if the quantity in two sets of objects to 6 is the same or different.
» MA.6.A.3.6: Construct and analyze tables, graphs, and equations to describe linear function s and other simple relations using both common language and algebraic notation. High  

MA.6.A.3.Su.d
Use information from physical models, diagrams, tables, and pictographs to solve number sentence s (equations) involving addition and subtraction with one-digit numbers.

MA.6.A.3.Pa.d
Determine if the quantity in two sets of objects to 6 is the same or different.

MA.6.A.3.Pa.a
Solve simple problems involving small quantities using language, such as more, less, same, and none.
» MA.6.A.5.1: Use equivalent forms of fractions, decimals, and percents to solve problems. Moderate  

MA.6.A.5.In.a
Express, represent, and use whole number s to 200 in various contexts.

MA.6.A.5.In.b
Identify the value of money to $2.00 expressed as a decimal.

MA.6.A.5.Su.a
Express, represent, and use whole number s to 50 using objects, pictures, number names, and numerals, in various contexts.

MA.6.A.5.Su.b
Identify the value of coins to $.50 expressed as a decimal.

MA.6.A.5.Pa.a
Match two or more objects to identical objects to 6 using one-to-one correspondence.
» MA.6.A.5.2: Compare and order fractions, decimals, and percents, including finding their approximate location on a number line . Moderate  

MA.6.A.5.In.c
Compare fractional parts of the same size objects or sets, including halves, fourths, thirds, and eighths.

MA.6.A.5.Su.c
Compare and order whole number s to 50 using objects, pictures, number names, and numerals.

MA.6.A.5.Pa.b
Compare the size of parts of objects to the whole to determine which is the largest or smallest.
» MA.6.A.5.3: Estimate the results of computations with fractions, decimals, and percents, and judge the reasonableness of the results. Moderate  

MA.6.A.5.Su.d
Solve real-world problem s involving addition and subtraction with sums to 50 using strategies such as representing and grouping objects or tallies.

MA.6.A.5.Su.e
Apply the concepts of counting and grouping to identify the value of whole number s to 50.

MA.6.A.5.Pa.c
Solve simple problems involving joining or separating sets of objects to 6.
» MA.6.G.4.1: Understand the concept of Pi, know common estimates of Pi (3.14 22/7) and use these values to estimate and calculate the circumference and the area of circles. Moderate  

MA.6.G.4.In.a
Compare the distance around the outside of circles (circumference) and areas using physical or visual models.

MA.6.G.4.Su.a
Identify the distance around the outside of circles (circumference) and compare areas of circles using physical models.

MA.6.G.4.Pa.a
Recognize the outside (circumference) and inside (area) of a circle.
» MA.6.G.4.2: Find the perimeters and areas of composite two-dimensional figure s, including non-rectangular figures (such as semicircles) using various strategies. Moderate  

MA.6.G.4.In.b
Measure the distance around all sides (perimeter) of polygons, such as squares, triangles, rectangles, and hexagons and compare the areas using physical or visual models.

MA.6.G.4.Su.b
Measure the lengths of sides of rectangles and triangles and compare the areas of rectangular and square shapes using physical models.

MA.6.G.4.Pa.b
Recognize the outside (perimeter) and inside (area) of rectangles and triangles.
» MA.6.G.4.3: Determine a missing dimension of a plane figure or prism given its area or volume and some of the dimensions, or determine the area or volume given the dimensions. Moderate  

MA.6.G.4.Su.b
Measure the lengths of sides of rectangles and triangles and compare the areas of rectangular and square shapes using physical models.

MA.6.G.4.Su.c
Measure capacity using cups.

MA.6.G.4.Pa.b
Recognize the outside (perimeter) and inside (area) of rectangles and triangles.
» MA.6.S.6.1: Determine the measures of central tendency (mean, median, mode) and variability (range) for a given set of data. Low  

MA.6.S.6.In.a
Identify the categories with the largest and smallest numbers represented on a bar graph .

MA.6.S.6.Su.a
Identify the category with the largest number in a pictograph representing real-world situations.

MA.6.S.6.Pa.a
Identify the largest set of objects, pictures, or symbols to 6 representing data in an object graph or pictograph.
» MA.6.S.6.2: Select and analyze the measures of central tendency or variability to represent, describe, analyze, and/or summarize a data set for the purposes of answering questions appropriately. High  

MA.6.S.6.In.a
Identify the categories with the largest and smallest numbers represented on a bar graph .

MA.6.S.6.Su.a
Identify the category with the largest number in a pictograph representing real-world situations.

MA.6.S.6.Pa.b
Identify the largest set of objects, pictures, or symbols to 6 representing data in an object graph or pictograph.
 


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