CPALMS
 
spacer Course Icon spacer Course: Access Mathematics - Grade 4 - 7712050
(Related Course: Mathematics - Grade Four - 5012060)

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Course Number: 7712050  
Course Title: Access Mathematics - Grade 4  
Abbreviated Title: Access Math - Grade 4  
Course Section: Exceptional Student Education  
Course Path: Section: Exceptional Student Education » Grade Group: Elementary » 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 fourth grade level. The concepts of joining and separating quantities, patterns, part-to-whole, measurement, equality, and estimation 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 
  • Fractions
  • Patterns and sequences
  • Equality/inequality 
  • Attributes of plane and solid figures 
  • Estimation
  • 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
» MA.4.A.1.1: Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease. Moderate  

MA.4.A.1.In.a
Solve problems involving combining (multiplying) or separating into (dividing) equal sets with quantities to 30 using objects and pictures with numerals.

MA.4.A.1.Su.a
Solve problems that involve combining (multiplying) and separating (dividing) equal sets with quantities to 15 using objects and pictures.

MA.4.A.1.Pa.a
Solve simple problems involving joining or separating sets of objects to 4.
» MA.4.A.1.2: Multiply multi-digit whole number s through four digits fluently, demonstrating understanding of the standard algorithm, and checking for reasonableness of results, including solving real-world problem s. High  

MA.4.A.1.Su.b
Solve real-world problem s involving addition facts with sums to 15 and related subtraction facts using numerals with sets of pictures and the +, -, and = signs.

MA.4.A.1.Pa.b
Recognize when items have been added to or removed from sets of objects to 4.
» MA.4.A.2.1: Use decimals through the thousandths place to name numbers between whole number s. Low  

MA.4.A.2.In.a
Apply the concepts of counting, grouping, and place value with whole number s to create sets of tens and ones to identify the value of whole number s to 50.

MA.4.A.2.Su.a
Apply the concept of grouping to create sets of tens and ones to 18 as a strategy for counting objects.

MA.4.A.2.Pa.a
Match objects to marked spaces to show one-to-one correspondence for quantities 1 to 4.
» MA.4.A.2.2: Describe decimals as an extension of the base-ten number system. High  

MA.4.A.2.In.a
Apply the concepts of counting, grouping, and place value with whole number s to create sets of tens and ones to identify the value of whole number s to 50.

MA.4.A.2.Su.a
Apply the concept of grouping to create sets of tens and ones to 18 as a strategy for counting objects.

MA.4.A.2.Pa.a
Match objects to marked spaces to show one-to-one correspondence for quantities 1 to 4.
» MA.4.A.2.3: Relate equivalent fractions and decimals with and without models, including locations on a number line. Moderate  

MA.4.A.2.In.b
Express and represent fractions, including halves and fourths, as parts of a whole and parts of a set using objects, pictures, and number names.

MA.4.A.2.Su.b
Represent half and whole using area and sets of objects.

MA.4.A.2.Pa.b
Distinguish parts of objects from whole objects.
» MA.4.A.2.4: Compare and order decimals, and estimate fraction and decimal amounts in real-world problem s. Moderate  

MA.4.A.2.Su.c
Identify half as a part of a whole.

MA.4.A.2.Pa.c
Recognize a half of an object as part of the whole object.
» MA.4.A.4.1: Generate algebraic rule s and use all four operations to describe patterns, including nonnumeric growing or repeating patterns. High  

MA.4.A.4.In.a
Identify and extend growing visual and number patterns using strategies, such as skip counting.

MA.4.A.4.Su.a
Identify and copy two-element repeating visual patterns using objects and pictures.

MA.4.A.4.Pa.a
Indicate the next step in a pattern or sequence of activities.
» MA.4.A.4.2: Describe mathematics relationships using expressions, equations, and visual representations. High  

MA.4.A.4.In.b
Describe equal and unequal sets using terms including greater than, less than, and equal to.

MA.4.A.4.Su.b
Determine if the number in two sets of objects to 10 are same or different (equal or unequal).

MA.4.A.4.Pa.b
Use one-to-one correspondence to compare sets of objects to 4 and determine if they are the same or different (equal or unequal).
» MA.4.A.4.3: Recognize and write algebraic expression s for functions with two operations. High  

MA.4.A.4.Su.c
Use the rule, 1 more, to identify the next number with numbers 1 to 20.

MA.4.A.4.Pa.c
Recognize the quantity of a set of objects to 3 and add 1 more.
» MA.4.A.6.1: Use and represent numbers through millions in various contexts, including estimation of relative size s of amounts or distances. Moderate  

MA.4.A.6.In.a
Express, represent, and use whole number s 0 to 50 in various contexts.

MA.4.A.6.Su.a
Express, represent, and use whole number s to 25 using sets of objects and pictures, number names, and numerals in various contexts.

MA.4.A.6.Su.b
Use ordinal number s, including first and second, in real-world situations.

MA.4.A.6.Pa.a
Use quantities to 4 represented by objects, pictures, or number names in various contexts.
» MA.4.A.6.2: Use models to represent division as:
  • the inverse of multiplication
  • as partitioning
  • as successive subtraction
Moderate  

MA.4.A.6.In.b
Use the inverse relationship of addition and subtraction as a strategy to solve problems.

MA.4.A.6.Su.c
Use objects and pictures to represent the relationship between addition with sums to 15 and related subtraction facts.

MA.4.A.6.Pa.b
Separate groups of objects to 4 into sets with the same quantity.
» MA.4.A.6.3: Generate equivalent fractions and simplify fractions. Moderate  

MA.4.A.6.In.c
Identify the relationship between halves, fourths, and a whole.

MA.4.A.6.Su.d
Identify the relationship between half and whole.

MA.4.A.6.Pa.c
Match parts to whole objects.
» MA.4.A.6.4: Determine factors and multiples for specified whole number s. Moderate  

MA.4.A.6.In.d
Use skip counting by 5s and 10s to determine amounts to 50.

MA.4.A.6.Su.e
Separate quantities to 25 into equal sets and identify the total number of sets and the number in each set.

MA.4.A.6.Pa.b
Separate groups of objects to 4 into sets with the same quantity.
» MA.4.A.6.5: Relate halves, fourths, tenths, and hundredths to decimals and percents. Moderate  

MA.4.A.6.In.c
Identify the relationship between halves, fourths, and a whole.

MA.4.A.6.Su.d
Identify the relationship between half and whole.

MA.4.A.6.Pa.c
Match parts to whole objects.
» MA.4.A.6.6: Estimate and describe reasonableness of estimates determine the appropriateness of an estimate versus an exact answer. High  

MA.4.A.6.Su.f
Use strategies such as comparing and grouping to estimate quantities to 10.

MA.4.A.6.Pa.a
Use quantities to 4 represented by objects, pictures, or number names in various contexts.
» MA.4.G.3.1: Describe and determine area as the number of same-sized units that cover a region in the plane, recognizing that a unit square is the standard unit for measuring area. Moderate  

MA.4.G.3.In.a
Identify examples of the distance around all sides (perimeter) and area of squares and rectangles in the environment.

MA.4.G.3.Su.a
Identify examples of the concept of area in the environment.

MA.4.G.3.Pa.a
Identify the sides of a square or rectangle.
» MA.4.G.3.2: Justify the formula for the area of the rectangle "area = base x height". Moderate  

MA.4.G.3.In.b
Find the length of the sides and the area of rectangular and square objects using square units.

MA.4.G.3.Su.b
Count the number of square units of a rectangle marked with a grid to determine its area.

MA.4.G.3.Pa.a
Identify the sides of a square or rectangle.
» MA.4.G.3.3: Select and use appropriate units, both customary and metric, strategies, and measuring tools to estimate and solve real-world area problems. Moderate  

MA.4.G.3.Su.c
Measure the length of sides of rectangles using whole inches.

MA.4.G.3.Pa.b
Recognize differences in the length of the sides of rectangles.
» MA.4.G.5.1: Classify angles of two-dimensional shapes using benchmark angles (45°, 90°, 180°, and 360°) Low  

MA.4.G.5.In.a
Locate angles in two-dimensional shapes, including triangles and rectangles.

MA.4.G.5.Su.a
Locate angles within a triangle.

MA.4.G.5.Pa.a
Recognize corners (angles) in common objects with two-dimensional shapes, such as a square or rectangle.
» MA.4.G.5.2: Identify and describe the results of translations, reflections, and rotations of 45, 90, 180, 270, and 360 degrees, including figures with line and rotational symmetry. Moderate  

MA.4.G.5.In.b
Identify examples of two-dimensional figure s that are the same shape and size (congruency) and figures that are visually the same on both sides of a central dividing line (symmetry) in the environment.

MA.4.G.5.Su.b
Identify two-dimensional figure s that are visually the same on both sides of a central dividing line (symmetry).

MA.4.G.5.Pa.b
Recognize the two sides of a two-dimensional figure created by a central dividing line (symmetry).
» MA.4.G.5.3: Identify and build a three-dimensional object from a two-dimensional representation of that object and vice versa. Moderate  

MA.4.G.5.Su.c
Match three-dimensional objects with models, such as a cube, cylinder, cone, and sphere.

MA.4.G.5.Pa.c
Recognize three-dimensional objects, such as ball (sphere), block (cube), or tube (cylinder).
 


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