This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Louis wants to give \$15 to help kids who need school supplies. He also wants to buy a pair of shoes for \$39. How much money will he have to save for ...
Students will explore the concepts of place value using their bodies as tools. They will time themselves performing various kinesthetic tasks like jumping jacks and sit ups and use the numbers that they record from these activities in their exploration. Working in groups, they will practice adding and subtracting and comparing numbers. They will also come up with creative ways to represent numbers using the properties of operation and the rules of place value.
Module 1 sets the foundation for students to master the sums and differences to 20 and to subsequently apply these skills to fluently add one-digit to two-digit numbers at least through 100 using place value understandings, properties of operations and the relationship between addition and subtraction.
In Module 4, students develop place value strategies to fluently add and subtract within 100; they represent and solve one- and two-step word problems of varying types within 100; and they develop conceptual understanding of addition and subtraction of multi-digit numbers within 200. Using a concrete to pictorial to abstract approach, students use manipulatives and math drawings to develop an understanding of the composition and decomposition of units, and they relate these representations to the standard algorithm for addition and subtraction.
Module 7 presents an opportunity for students to practice addition and subtraction strategies within 100 and problem-solving skills as they learn to work with various types of units within the contexts of length, money, and data. Students represent categorical and measurement data using picture graphs, bar graphs, and line plots. They revisit measuring and estimating length from Module 2, though now using both metric and customary units.
Students determine the coefficient of restitution (or the elasticity) for super balls. Working in pairs, they drop balls from a meter height and determine how high they bounce. They measure, record and repeat the process to gather data to calculate average bounce heights and coefficients of elasticity. Then they extrapolate to determine the height the ball would bounce if dropped from much higher heights.
The purpose of this task is to help students articulate their addition strategies and would be most appropriately used once students have a solid understanding of coin values.
Some students need prompts to help them write mathematical expressions for target numbers. Climb the Ladder is an activity that prompts students to move from all addition or subtraction problems and include many mathematical topics to generate equivalent names.
Students use a hundred board to eliminate numbers after reading each clue. Students must apply their knowledge of even-odd, multiples and place value to successfully eliminate numbers until the solution is revealed.
In this challenging instructional task students relate addition and subtraction problems to money and to situations and goals related to saving money.
Once students have developed conceptual understanding of the basic operations they need to develop fluency with the facts. One quick way to include daily practice and motivate students to master these basic facts is through the use of the Who Has? card decks. These decks can be created for virtually any topic and frequent use as both a whole class practice or as a center activity for partners or small groups will provide facts practice in a highly-motivating format.
سيستكشف الطلاب مفاهيم القيمة المنزلية باستخدام أجسامهم كأدوات. سيقومون ببعض المهمات الحركية الموقوتة كالقفز وضغط البطن وسيستخدمون الأعداد التي سجلوها من تلك النشاطات في استكشافهم. وأثناء عملهم في مجموعات سيتمرنون على جمع الأعداد وطرحها ومقارنتها. كذلك سيبتكرون طرقًا خلاقة لتمثيل الأعداد مستخدمين خصائص العمليات الحسابية وقواعد القيمة المنزلية.