 # Access Mathematics Grade 4 (#7712050)

#### { Mathematics - Grade Four - 5012060 }

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#### Course Standards

Name Description
MAFS.4.G.1.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
##### Related Access Points
 Name Description MAFS.4.G.1.AP.1a: Identify a point, line and line segment and rays in two-dimensional figures. MAFS.4.G.1.AP.1b: Identify perpendicular and parallel lines in a two-dimensional figure. MAFS.4.G.1.AP.1c: Identify an angle in a two-dimensional figure.

MAFS.4.G.1.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
##### Related Access Points
 Name Description MAFS.4.G.1.AP.2a: Identify and sort objects based on parallelism, perpendicularity, and angle type.

MAFS.4.G.1.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
##### Related Access Points
 Name Description MAFS.4.G.1.AP.3a: Identify figures that have a line of symmetry.

MAFS.4.MD.1.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ...
##### Related Access Points
 Name Description MAFS.4.MD.1.AP.1a: Within a system of measurement, identify the number of smaller units in the next larger unit. MAFS.4.MD.1.AP.1b: Complete a conversion table for length and mass within a single system.

MAFS.4.MD.1.2: Use the four operations to solve word problems1 involving distances, intervals of time, and money, including problems involving simple fractions or decimals2. Represent fractional quantities of distance and intervals of time using linear models. (1See glossary Table 1 and Table 2) (2Computational fluency with fractions and decimals is not the goal for students at this grade level.)
##### Related Access Points
 Name Description MAFS.4.MD.1.AP.2a: Solve word problems involving distance using line plots.

MAFS.4.MD.1.3: Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
##### Related Access Points
 Name Description MAFS.4.MD.1.AP.3a: Solve word problems involving perimeter and area of rectangles using specific visualizations/drawings and numbers.

MAFS.4.MD.2.4: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
##### Related Access Points
 Name Description MAFS.4.MD.2.AP.4a: Solve problems involving addition and subtraction of fractions with like denominators (2, 4, and 8) by using information presented in line plots.

MAFS.4.MD.3.5: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
1. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
2. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
##### Related Access Points
 Name Description MAFS.4.MD.3.AP.5a: Identify an angle in a two-dimensional figure.

MAFS.4.MD.3.6: Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
##### Related Access Points
 Name Description MAFS.4.MD.3.AP.6a: Sketch angles of specific measures. MAFS.4.MD.3.AP.6b: Identify types of angles.

MAFS.4.MD.3.7:

Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

##### Related Access Points
 Name Description MAFS.4.MD.3.AP.7a: Find sums of angles that show a ray (adjacent angles).

MAFS.4.NBT.1.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
##### Related Access Points
 Name Description MAFS.4.NBT.1.AP.1a: Compare the value of a digit when it is represented in a different place of two three-digit numbers (e.g., The digit 2 in 124 is ten times the digit 2 in 472).

MAFS.4.NBT.1.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
##### Related Access Points
 Name Description MAFS.4.NBT.1.AP.2a: Compare multi-digit numbers. MAFS.4.NBT.1.AP.2b: Write or select the expanded form for a multi-digit number. MAFS.4.NBT.1.AP.2c: Understand the role of commas to read and write numerals between 1,000 and 1,000,000.

MAFS.4.NBT.1.3: Use place value understanding to round multi-digit whole numbers to any place.
##### Related Access Points
 Name Description MAFS.4.NBT.1.AP.3a: Use a hundreds chart or number line to round to any place (i.e., ones, tens, hundreds, thousands).

MAFS.4.NBT.2.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
 Clarifications:Fluency Expectations or Examples of Culminating Standards Students’ work with decimals (4.NF.3.5–3.7) depends to some extent on concepts of fraction
##### Related Access Points
 Name Description MAFS.4.NBT.2.AP.4a: Solve multi-digit addition and subtraction problems within 1,000.

MAFS.4.NBT.2.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
 Clarifications:Examples of Opportunities for In-Depth Focus When students work toward meeting this standard, they combine prior understanding of multiplication with deepening understanding of the base-ten system of units to express the product of two multi-digit numbers as another multi-digit number. This work will continue in grade 5 and culminate in fluency with the standard algorithms in grade 6.
##### Related Access Points
 Name Description MAFS.4.NBT.2.AP.5a: Solve a two-digit by one-digit whole number multiplication problem using two different strategies.

MAFS.4.NBT.2.6: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
 Clarifications:Examples of Opportunities for In-Depth Focus When students work toward meeting this standard, they combine prior understanding of multiplication and division with deepening understanding of the base-ten system of units to find whole-number quotients and remainders with up to four-digit dividends and one- digit divisors. This work will develop further in grade 5 and culminate in fluency with the standard algorithms in grade 6.
##### Related Access Points
 Name Description MAFS.4.NBT.2.AP.6a: Find whole-number quotients and remainders with up to three-digit dividends and one-digit divisors, using two different strategies.

MAFS.4.NF.1.1: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
 Clarifications:Examples of Opportunities for In-Depth Focus Extending fraction equivalence to the general case is necessary to extend arithmetic from whole numbers to fractions and decimals.
MAFS.4.NF.1.2: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
##### Related Access Points
 Name Description MAFS.4.NF.1.AP.2a: Use =, <, or > to compare two fractions (fractions with a denominator or 10 or less). MAFS.4.NF.1.AP.2b: Compare 2 given fractions that have different denominators.

MAFS.4.NF.2.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
1. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
2. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
3. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
4. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
 Clarifications:Examples of Opportunities for In-Depth Focus This standard represents an important step in the multi-grade progression for addition and subtraction of fractions. Students extend their prior understanding of addition and subtraction to add and subtract fractions with like denominators by thinking of adding or subtracting so many unit fractions.
##### Related Access Points
 Name Description MAFS.4.NF.2.AP.3a: Using a representation, decompose a fraction into multiple copies of a unit fraction (e.g., 3/4 = 1/4 + 1/4+ 1/4). MAFS.4.NF.2.AP.3b: Add and subtract fractions with like denominators (2, 3, 4 or 8) using representations. MAFS.4.NF.2.AP.3c: Solve word problems involving addition and subtraction of fractions with like denominators (2, 3, 4 or 8).

MAFS.4.NF.2.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
1. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
2. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
3. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
 Clarifications:Examples of Opportunities for In-Depth Focus This standard represents an important step in the multi-grade progression for multiplication and division of fractions. Students extend their developing understanding of multiplication to multiply a fraction by a whole number.
##### Related Access Points
 Name Description MAFS.4.NF.2.AP.4a: Multiply a fraction by a whole number using a visual fraction model.

MAFS.4.NF.3.5: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

##### Related Access Points
 Name Description MAFS.4.NF.3.AP.5a: Find the equivalent fraction with denominators that are multiples of 10.

MAFS.4.NF.3.6: Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

##### Related Access Points
 Name Description MAFS.4.NF.3.AP.6a: Identify the equivalent decimal form for a benchmark fraction. MAFS.4.NF.3.AP.6b: Match a fraction (with a denominator of 10 or 100) with its decimal equivalent (5/10 = 0.5). MAFS.4.NF.3.AP.6c: Read, write, or select decimals to the tenths place. MAFS.4.NF.3.AP.6d: Read, write, or select decimals to the hundredths place.

MAFS.4.NF.3.7: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

##### Related Access Points
 Name Description MAFS.4.NF.3.AP.7a: Use =, <, or > to compare two decimals (decimals in multiples of .10). MAFS.4.NF.3.AP.7b: Compare two decimals expressed to the tenths place with a value of less than 1 using a visual model. MAFS.4.NF.3.AP.7c: Compare two decimals expressed to the hundredths place with a value of less than 1 using a visual model.

MAFS.4.OA.1.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
##### Related Access Points
 Name Description MAFS.4.OA.1.AP.1a: Use objects to model multiplication involving up to five groups with up to five objects in each and write equations to represent the models.

MAFS.4.OA.1.2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
##### Related Access Points
 Name Description MAFS.4.OA.1.AP.2a: Solve multiplicative comparisons with an unknown using up to two-digit numbers with information presented in a graph or word problem (e.g., an orange hat costs \$3. A purple hat costs two times as much. How much does the purple hat cost? [3 x 2 = p]). MAFS.4.OA.1.AP.2b: Determine the number of sets of whole numbers, ten or less, that equal a dividend.

MAFS.4.OA.1.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
##### Related Access Points
 Name Description MAFS.4.OA.1.AP.3a: Solve and check one- or two-step word problems requiring the four operations within 100.

MAFS.4.OA.1.a: Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the equation 60 + 24 = 57 + 27 is true or false.
MAFS.4.OA.1.b: Determine the unknown whole number in an equation relating four whole numbers using comparative relational thinking. For example, solve 76 + 9 = n + 5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76.
##### Related Access Points
 Name Description MAFS.4.OA.1.AP.ba: Find the unknown number in an equation (+, - ) relating four whole numbers.

MAFS.4.OA.2.4: Investigate factors and multiples.

1. Find all factor pairs for a whole number in the range 1–100.
2. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number.
3. Determine whether a given whole number in the range 1–100 is prime or composite.
##### Related Access Points
 Name Description MAFS.4.OA.2.AP.4a: Identify multiples for a whole number (e.g., The multiples of 2 are 2, 4, 6, 8, 10…). MAFS.4.OA.2.AP.4b: Identify factors of whole numbers within 30.

MAFS.4.OA.3.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
##### Related Access Points
 Name Description MAFS.4.OA.3.AP.5a: Generate a pattern when given a rule. MAFS.4.OA.3.AP.5b: Extend a numerical pattern when the rule is provided.

MAFS.K12.MP.1.1:

Make sense of problems and persevere in solving them.

Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, “Does this make sense?” They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

MAFS.K12.MP.2.1:

Reason abstractly and quantitatively.

Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize—to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents—and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.

MAFS.K12.MP.3.1:

Construct viable arguments and critique the reasoning of others.

Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

MAFS.K12.MP.4.1:

Model with mathematics.

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

MAFS.K12.MP.5.1: Use appropriate tools strategically.

Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.
MAFS.K12.MP.6.1:

Attend to precision.

Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.

MAFS.K12.MP.7.1:

Look for and make use of structure.

Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. Later, students will see 7 × 8 equals the well remembered 7 × 5 + 7 × 3, in preparation for learning about the distributive property. In the expression x² + 9x + 14, older students can see the 14 as 2 × 7 and the 9 as 2 + 7. They recognize the significance of an existing line in a geometric figure and can use the strategy of drawing an auxiliary line for solving problems. They also can step back for an overview and shift perspective. They can see complicated things, such as some algebraic expressions, as single objects or as being composed of several objects. For example, they can see 5 – 3(x – y)² as 5 minus a positive number times a square and use that to realize that its value cannot be more than 5 for any real numbers x and y.

MAFS.K12.MP.8.1:

Look for and express regularity in repeated reasoning.

Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts. Upper elementary students might notice when dividing 25 by 11 that they are repeating the same calculations over and over again, and conclude they have a repeating decimal. By paying attention to the calculation of slope as they repeatedly check whether points are on the line through (1, 2) with slope 3, middle school students might abstract the equation (y – 2)/(x – 1) = 3. Noticing the regularity in the way terms cancel when expanding (x – 1)(x + 1), (x – 1)(x² + x + 1), and (x – 1)(x³ + x² + x + 1) might lead them to the general formula for the sum of a geometric series. As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results.

LAFS.4.SL.1.1: Engage effectively in a range of collaborative discussions (one-on-one, in groups, and teacher-led) with diverse partners on grade 4 topics and texts, building on others’ ideas and expressing their own clearly.
1. Come to discussions prepared, having read or studied required material; explicitly draw on that preparation and other information known about the topic to explore ideas under discussion.
2. Follow agreed-upon rules for discussions and carry out assigned roles.
3. Pose and respond to specific questions to clarify or follow up on information, and make comments that contribute to the discussion and link to the remarks of others.
4. Review the key ideas expressed and explain their own ideas and understanding in light of the discussion.
##### Related Access Points
 Name Description LAFS.4.SL.1.AP.1a: Provide evidence of being prepared for discussions on a topic or text through appropriate statements made during discussion. LAFS.4.SL.1.AP.1b: Ask questions to check understanding of information presented in collaborative discussions. LAFS.4.SL.1.AP.1c: Make appropriate comments that contribute to a collaborative discussion. LAFS.4.SL.1.AP.1d: Review the key ideas expressed within a collaborative discussion.

LAFS.4.SL.1.2: Paraphrase portions of a text read aloud or information presented in diverse media and formats, including visually, quantitatively, and orally.
##### Related Access Points
 Name Description LAFS.4.SL.1.AP.2a: Paraphrase portions of a text read aloud or information presented in diverse media and formats, including visually, quantitatively and orally.

LAFS.4.SL.1.3: Identify the reasons and evidence a speaker provides to support particular points.
##### Related Access Points
 Name Description LAFS.4.SL.1.AP.3a: Identify the reasons and evidence a speaker provides to support particular points.

LAFS.4.W.1.2: Write informative/explanatory texts to examine a topic and convey ideas and information clearly.
1. Introduce a topic clearly and group related information in paragraphs and sections; include formatting (e.g., headings), illustrations, and multimedia when useful to aiding comprehension.
2. Develop the topic with facts, definitions, concrete details, quotations, or other information and examples related to the topic.
3. Link ideas within categories of information using words and phrases (e.g., another, for example, also, because).
4. Use precise language and domain-specific vocabulary to inform about or explain the topic.
5. Provide a concluding statement or section related to the information or explanation presented.
##### Related Access Points
 Name Description LAFS.4.W.1.AP.2a: Introduce a topic clearly and group related information in paragraphs and sections. LAFS.4.W.1.AP.2b: Develop the topic (add additional information related to the topic) with relevant facts, definitions, concrete details, quotations or other information and examples related to the topic. LAFS.4.W.1.AP.2c: Include formatting (e.g., headings), illustrations and multimedia when appropriate to convey information about the topic. LAFS.4.W.1.AP.2d: Link ideas within categories of information, appropriately using words and phrases (e.g., another, for example, also, because). LAFS.4.W.1.AP.2e: Use increasingly precise language and domain-specific vocabulary over time to inform about or explain a variety of topics. LAFS.4.W.1.AP.2f: Provide a concluding statement or section to support the information presented.

ELD.K12.ELL.MA.1: English language learners communicate information, ideas and concepts necessary for academic success in the content area of Mathematics.
ELD.K12.ELL.SI.1: English language learners communicate for social and instructional purposes within the school setting.

## General Course Information and Notes

### GENERAL NOTES

Access courses are intended only for students with a significant cognitive disability. Access courses are designed to provide students with access to the general curriculum. Access points 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.

Access points in the subject areas of science, social studies, art, dance, physical education, theatre, and health provide tiered access to the general curriculum through three levels of access points (Participatory, Supported, and Independent). Access points in English language arts and mathematics do not contain these tiers, but contain Essential Understandings (or EUs). EUs consist of skills at varying levels of complexity and are a resource when planning for instruction.

English Language Development ELD Standards Special Notes Section:

Teachers are required to provide listening, speaking, reading and writing instruction that allows English language learners (ELL) to communicate information, ideas and concepts for academic success in the content area of Mathematics. For the given level of English language proficiency and with visual, graphic, or interactive support, students will interact with grade level words, expressions, sentences and discourse to process or produce language necessary for academic success. The ELD standard should specify a relevant content area concept or topic of study chosen by curriculum developers and teachers which maximizes an ELL’s need for communication and social skills. To access an ELL supporting document which delineates performance definitions and descriptors, please click on the following link:  https://cpalmsmediaprod.blob.core.windows.net/uploads/docs/standards/eld/ma.pdf.

### General Information

 Course Number: 7712050 Course Path: Section: Exceptional Student Education > Grade Group: Elementary > Subject: Academics - Subject Areas > Abbreviated Title: ACCESS MATH GRADE 4 Course Attributes: Class Size Core Required Course Status: Course Approved Grade Level(s): 4