The Bridges Introduction pages of the Teacher Manual outline a variety of models that students access throughout the school year in order to demonstrate their understanding. The instructional materials reviewed for Grade 4 meet the expectations for the amount of content designated for one grade level being viable for one school year in order to foster coherence between grades. ", "What does the 3/4 represent for each problem? The Number Corner activities reflect 2,340 out of 3,200 instructional minutes devoted to major work, which is approximately 73 percent of Number Corner instructional time being spent on the major and supporting clusters of Grade 4. For example, in Unit 4, Module 4, session 5, the "Math Practices in Action - MP 6" says, "When applying strategies that involve decomposing numbers and adding the same amount to both numbers, students must attend to precision to ensure that they arrive at the correct answer...", "Why is the first rectangle labeled with the number 40? Afterwards students solved the perimeter problem individually, compared their solutions, and strategies with a partner, and the teacher chose several student to explain their final calculations to find the unknown dimension. The introduction to each unit provides the mathematical background for the unit concepts, the relevance of the models and representations within the unit, and teaching tips. For all content areas, usability ratings represent the degree to which materials meet expectations, partially meet expectations, or do not meet expectations for effective practices (as outlined in the evaluation tool) for use and design, teacher planning and learning, assessment, differentiated instruction, and effective technology use. Then there is an explanation of the Mathematical Emphasis in the program. There is a separate "Scope and Sequence" chart for Number Corners. Some calculations, specifically the number of units and the number of modules (chapters), equaled slightly less than 65 percent of the time spent on major and supporting clusters of the grade. In essence, the difference is that in solving problems, students learn new mathematics, whereas in working exercises, students apply what they have already learned to build mastery. Click on the figures that have a given area. Digital materials are accessible and available in multiple platforms. Materials embed tasks with multiple entry-points that can be solved using a variety of solution strategies or representations. Lessons provide teachers with guiding questions to elicit student understanding and discourse to allow student thinking to be visible. These include games, Geoboards, Number Line, Number Pieces, Number Rack, Number Frames and Math Vocabulary. iii. The third module introduces them to fractions, using several different models to build, compare, and investigate the relationships among unit and common fractions. The teacher also models students’ strategies with a ratio table for the whole string. Click the play button to begin the game. View draft versions of our In the Bridges Online Resources there are links to the following: Within the Teacher's Edition, there is no direct reference to online resources. In Unit 4, Module 4, Session 4, "Measuring Hand Spans and Arm Spans," MP5 is identified, and in the teacher directions Step 6, the teacher is directed to have students get out their rulers and measure their hand spans as well as those of their classmates and record the data in a table of their design. In Unit 4, Module 1, Session 6, Think Before You Add, the focus on specialized math language is on specific multi-digit addition strategies including the “Standard Algorithm,” “Give and Take,” and “Split Them All Up.” The “Give and Take” strategy is accompanied by a number line. The cards are integrated into lessons and displayed in the classroom to support students’ acquisition and use of precise mathematical language.”. In doing so, they are comparing the strategies, to each other and to their own thinking. Finally students turn and talk with a partner about one division strategy they used and what strategies might be more efficient. The above grade-level standard is not marked or addressed as above grade level in any way. All team members look at every grade and indicator, ensuring that the entire team considers the program in full. Students will look at patterns and strategies on the multiplication table to build multiplication fact fluency in this unit. Provide positive feedback for participation, especially for students who have a harder time speaking up. From the Resource page there are also many links to external sites such as ABCYA, Sheppard Software, Illuminations, Topmarks, and Youtube. Below are some examples: In Unit 2, Module 1, Session 3, Metric Units of Linear and Area Measurement, the focus for specialized mathematical language is on the base-ten model and the terms dimension, area, centimeter, and meter. Some examples are the fraction strips, number lines, and geoboards. Sessions combine measurement data standards with geometry standards, in real-world problem solving tasks and situations. The instructional materials support teacher learning and understanding of the standards. Materials provide strategies for gathering information about students' prior knowledge within and across grade levels. The Unit 3, Module 4, Session 4 Post-Assessment includes a Scoring Guide that lists all items, correct answers, standards, and the possible points, as well as a Student Reflection Sheet. These materials are partially consistent with the mathematical progressions in the standards, and students are offered extensive work with grade-level problems. Problem strings (found in Unit 2, 4 and 6) target procedural skill and fluency by targeting opportunistic strategies. For example, 17 out of 18 sessions in Unit 2 address concepts related to multi-digit multiplication and division. Summative assessments considered during the review for this indicator include unit post-assessments and Number Corner assessments that require mastery of a skill. Students are given multiple strategies for solving problems throughout a module. Through making the shapes, students will discover their similarities and make comparisons. In Unit 4, Module 4 (Measurement & Data Displays), Session 1, 3.MD.4 is identified for the purpose of review and extension alongside standards in supporting cluster 4.MD.B. In Unit 6, students will describe, classify, and make observations about two dimensional shapes. If you disagree with Christopher, explain why and show how you would solve the problem.". For example, in Unit 3, Module 2, Session 1, the students are naming fractional parts of the geoboard and describing the parts’ relationships to one another by using their strips to check for understanding. Although there are no embedded technology links within the lessons, there are technology resources available on the Bridges Online Resource page such as videos, whiteboard files, apps, blogs, and online resource links (virtual manipulatives, images, teacher tip articles, games, references). The same information is included within each session as it occurs within the teacher guided part of the lesson. How many fish in each tank?" No above-grade-level content was assessed on summative assessments. In assessments and on assignments the directions say, "Show your work" or "Use numbers, labels, models or words to show your thinking." Some problems may even require students to use the pictures to solve the story problems. There are explanations in the Assessment Guide that goes into they Types of Assessments in Bridges sessions and Number corner. Click and drag a shape tool to create enclosures that are the correct area and/or perimeter for animals at the zoo. The Computational Fluency component of Number Corner focuses on "activities, games, and practice pages to help students work efficiently, flexibly, and accurately with numbers." Materials contain adult-level explanations of the math concepts contained in each unit. The materials reviewed for Grade 4 partially meet the criteria for practice-content connections. Materials can be easily customized for local use. The Mathematical Background also includes sample models with diagrams and explanations, strategies, and algebra connections. Materials provide a balanced portrayal of various demographic and personal characteristics. The instructional materials reviewed for Grade 4 meet the expectations for focus within assessment. After a class discussion, they practice adding and subtracting fractions with like denominators during their work time. ", "Key Questions" side notes in margins support teachers engaging students in constructing viable arguments, For example: in September they say, “Is your answer reasonable?”, “How can you check your work after you have solved the problem?” In December they say, “What is the most efficient way to solve this problem?” and “Do you see a relationship between multiplication and division? There is coherence within units of each grade. For example, students are asked to produce answers and solutions, but also, in a grade-appropriate way, arguments and explanations, diagrams, mathematical models, etc. The instructional materials reviewed for Grade 4 meet the expectations for the materials explicitly attending to the specialized language of mathematics. The CCSS Where to Focus Grade 4 Mathematics document is provided in the Implementation section of the Online Resources. In Unit 1, Module 3, Session 4, students are working with multiplicative comparison and writing comparison statements to match multiplication equations (4.OA.1) while applying knowledge of factor pairs and multiples (4.OA.4). There is a balance of the 3 aspects of rigor within the grade. In Session 3, students share and compare their solutions and strategies from some of the problems from Session 2. Addition and subtraction of fractions is only with like-denominators. Each report found on EdReports.org represents hundreds of hours of work by educator reviewers. Sessions (lessons) – 97 out of 147 spend the majority of the time on major work of the grade, which is approximately 66 percent. during the COVID-19 pandemic, EdReports has created a collection of resources to advocate for and guide Content from future grades is not always clearly identified. ", The Number Corner October Teaching Tips prompts teachers to build a sense of community this month. How many bags will there be?" EdReports requested that publishers fill out The Instructional Materials Technology Information document about each of their products that met our alignment criteria. The instructional materials are not easily customizable for individual learners or users. The Unit 6, Module 4, Session 3 Post-Assessment includes a Post-Assessment Scoring Guide that lists all items, correct answers, standards and the possible points, as well as a Student Reflection Sheet. Materials integrate technology such as interactive tools, virtual manipulatives/objects, and/or dynamic mathematics software in ways that engage students in the Mathematical Practices. Optional Daily Practice pages and Home Connection pages were not considered for this indicator because they did not appear to be a required component of the sessions. Also, encourage students to consider the semi-perimeter (half of the perimeter) and its relationship to the dimensions.”, Unit 2, Module 3, Session 1 provides a ELL suggestion. There is a chart that breaks down the mathematical practices and the characteristics of children in that grade level for each of the math practices. Are all standards present and treated with appropriate depth and quality required to support student learning? Can they understand each other's strategies?"

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