[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-538015-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-538015-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","samples-to-success-grade-4-mathematics","Samples to Success - GRADE 4 - MATHEMATICS","","Standards-aligned grade 4 mathematics sample items for classroom use and readiness assessment practice. The materials focus on Operations & Algebraic Thinking, emphasizing how students interpret multiplicative comparisons, choose correct equations, and solve multiplicative comparison and multistep word problems. Items include interpreting and representing equations with unknowns, selecting factor pairs, and evaluating reasonableness using estimation and mental computation. Rubric levels distinguish below, approaching, proficient, and above proficient performance based on modeling and 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skill is assessed when students interpret multiplicative comparisons as multiplication equations in these grade 4 items?","Question",{"text":63,"@type":64},"Students must translate statements like “5 times as many as 3 is 15” into correct multiplication equations and identify matching equation representations.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do the sample items ask students to represent and solve multiplicative comparison word problems?",{"text":68,"@type":64},"They require students to choose or complete equations using multiplication or division and then determine the numeric value, such as computing costs for pizza slices.",{"name":70,"@type":61,"acceptedAnswer":71},"What distinguishes a proficient from an above proficient score in the rubric described for these items?",{"text":72,"@type":64},"The rubric states that total points on items requiring modeling and/or reasoning largely determine the difference, with students who clearly explain and demonstrate 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texts, tasks, and contexts, highlighting the types of opportunities they need for success in the classroom. These items offer a shared reference point for understanding proficiency expectations, complementing the assessment's role in measuring learning. By analyzing items alongside performance data, educators can gain a deeper understanding of students'strengths and areas for growth. Students thrive in environments rich with diverse materials, challenges that vary in task type, and multiple avenues for demonstrating understanding. High-quality instruction, aligned with the learning goals, is the most effective way to support students' growth and prepare them for success.  \nGRADE 4  \nThe items featured in this rubric are a mix of items representative of those found on the Illinois Assessment of Readiness (IAR) and items appropriate for classroom instruction to support and build the skills measured on the IAR. The distinction between a student scoring proficient and above proficient on the IAR is primarily determined by the total points earned on items that require modeling and/or reasoning. Students who can effectively explain and demonstrate their thinking are most likely to earn these points.  \nMATHEMATICS  \nOperations & Algebraic Thinking  \nExpectation at Proficient:  \nInterpret multiplicative comparisons as multiplication equations.  \nComplete the statement to represent the equation:  \n5 × 3 = 15.  \n5 times as many as 3  is 15.  \nWhich equation correctly represents the statement “5 times as many as 3 is 15?”  \nA. 15 × 3 = 5   = 15  \nC. 5 + 3 = 15  \nD. 5 + 5 + 3 = 15  \nWhich statements can be used to represent the equation  \n5 × 3 = 15? Select the two correct answers.  \nA. The number 15 is 5 shared equally with 3.  \nB. The number 15 is 5 more than 3.  \nC. The number 15 is 5 times as many as 3.  \nD. Joe is 15 years old. Cindy is 5 years old. Their ages can be divided by 3.  \nE. Joe is 15 years old. Cindy is 5  \nas Cindy.  \nF. Joe is 15 years old. Cindy is 5 years old. Cindy is 3 years younger than Joe.  \nCreate two different equations that represent the following situation: \"Darius has 3 packages of trading cards. Each package contains 5 trading cards.”  \nEquations examples:   \n5×3=x  \nHow many trading cards does Darius have? Answer: 15  \nOperations & Algebraic Thinking  \nExpectation at Proficient:  \nIdentify and solve multiplicative comparison word problems that require multiplication or division.  \nA slice of pizza costs $3. Marco buys 6 slices of pizza.  \nWhich value represents the amount of money, in dollars, Marco spends on 6 slices of pizza?  \nA. 3  \nB. 18  \nC. 9  \nD. 2  \nA slice of pizza costs $3. Marco buys 6 slices of pizza.  \nWhich equation can be used to find the amount of money, in dollars, Marco spends?  \nA. 6 − 3 = 3 = 18  \nC. 6 + 3 = 9  \nD. 6 ÷ 3 = 2  \nA slice of pizza costs $3. Marco buys 6 slices of pizza.  \nWhich equation can be used to find the amount of money, in dollars, Marco spends?  \nA. 6 − 3 =?  \n?  \nC. 6 + 3 =?  \nD. 6 ÷ 3 =?  \nA slice of pizza costs $3. A whole pizza costs $10. Marco is buying pizza for a class of 4th graders. He buys 3 whole pizzas and 2 slices of pizza.  \nWhat is the total amount of money, in dollars, Marco spends?  \nA. $13  \nB. $30  \nC. $36  \nD. $39  \n4.OA.1  \nBelow Proficient  \nApproaching Proficient  \nProficient  \nAbove Proficient  \nB. 3 × 5  \nyears old. Joes is 3 times as old  \n3×5=x  \n4.OA.2  \nBelow Proficient  \nApproaching Proficient  \nProficient  \nAbove Proficient  \nB. 6 × 3  \nB. 6 × 3 =   \n Operations & Algebraic Operations   \n 4.OA.3  Below Proficient  Approaching Proficient  Proficient  Above Proficient  Expectation at  Ms. Martin bakes 200 cookies Ms. Martin bakes 100 cookies Ms. Martin bakes 200 cookies Ms. Martin bakes 200 cookies and 60  \nProficient:  on Monday and 150 cookies on on Monday, 60 cookies on and 60 cupcakes for a school cupcakes for a school fair. She packs ","cbCaihnVbYHJ7U8o","https://ap.wps.com/l/cbCaihnVbYHJ7U8o","pdf",807982,21,"English","# GRADE 4\n## MATHEMATICS - Operations & Algebraic Thinking\n## Expectation at Proficient\n## Sample Item Types and Rubric Levels","[{\"question\":\"What skill is assessed when students interpret multiplicative comparisons as multiplication equations in these grade 4 items?\",\"answer\":\"Students must translate statements like “5 times as many as 3 is 15” into correct multiplication equations and identify matching equation representations.\"},{\"question\":\"How do the sample items ask students to represent and solve multiplicative comparison word problems?\",\"answer\":\"They require students to choose or complete equations using multiplication or division and then determine the numeric value, such as computing costs for pizza slices.\"},{\"question\":\"What distinguishes a proficient from an above proficient score in the rubric described for these items?\",\"answer\":\"The rubric states that total points on items requiring modeling and/or reasoning largely determine the difference, with students who clearly explain and demonstrate their thinking most likely to earn those points.\"}]","Samples to Success - GRADE 4 - MATHEMATICS | PDF",1791605993,53]