AUGUSTA COUNTY SCHOOLS CURRICULUM MAP MATH Submitted By CLES CONTENT: 3.4 The student will estimate solutions to and solve single-step and multistep problems involving the sum or difference of two whole numbers, each 9,999 or less, with or without regrouping. TOPIC: Computation and Estimation CONTENT What do your students need to KNOW? All students will know: Understand that estimation skills are valuable, time-saving tools particularly in practical situations when exact answers are not required or needed. Understand that estimation skills are also valuable in determining the reasonableness of the sum or difference when solving for the exact answer is needed. Develop and use strategies to estimate whole number sums and differences to determine the reasonableness of an exact answer. Develop flexible methods of adding whole numbers by combining numbers in a variety of ways, most depending on place values. DEMONSTRATORS What do your students need to be able to DO? Students will: Determine whether an estimate or an exact answer is an appropriate solution for practical addition and subtraction problems situations involving single-step and multistep problems. Determine whether to add or subtract in practical problem situations. Estimate the sum or difference of two whole numbers, each 9,999 or less. Add or subtract two whole numbers, each 9,999 or less. Solve practical problems involving the sum of two whole numbers, each 9,999 or less, with or without regrouping. Solve practical problems involving the difference of two whole numbers, each 9,999 or less, with or without regrouping. Solve single-step and multistep problems involving the sum or difference of two whole numbers, each 9,999 or less, with or without regrouping. ASSESSMENT How will you assess what your students ALREADY KNOW, and assess WHAT THEY’VE LEARNED? Pre-assessment: Individualized Daily Math Review questions Note: Students must have a firm foundation in the basic addition and subtraction steps prior to adding the estimation component to the lessons. Note: See Math SOL 2.6 and embed questions into Individualized Daily Math Review. Note: This review would be different each time you teach this lesson due to the individual needs in the classroom. KWL Chart: Key words for addition and subtraction, estimation, etc. Post- Assessment: Subtraction and Addition Worksheet Differentiation of postassessment would be great based on student achievement. ACTIVITIES HOW will you teach it? Key Words Sheets for Addition and Subtraction (attached) Guided Practice: Modeling 1- Step-By-Step Website: Breaks the steps down for addition or subtraction instruction 2- Modeling Addition Website: Breaks the steps down for addition or subtraction instruction 3- Visualization of Addition and Subtraction with Regrouping Website: helps determine when it is appropriate to regroup 4- If needed, students could use manipulatives to better understand the concept of regrouping. Unifix cubes could be used to show how a ten is broken down into ones, a hundred is broken down into tens, etc. Students could also use the base-ten blocks to help visualize the worth of each number. Independent Practice: 1- Domino Activity: attached 2- Addition and Subtraction Cards: example questions attached—can be used as a center, can be used to make Addition or Subtraction War, can be used for whiteboard review 3- Math Playground Worksheets or Dad’s Worksheets can be developed and printed for individualized instruction. Independent Practice Online: 1- IXL-objectives listed below 2- Draggable Math- Students can be given individualized directions for practice 3- Estimation Valley Math- Differentiated Work can be assigned to the students based on mastery of concepts DIFFERENTIATION How will you meet the needs of all students? -Individualized instruction for students who do not understand the concept -Modified instruction/activities -Using manipulatives to reinforce the concept of regrouping -The Math Playground Website and the Dad’s Worksheet’s Website allows the teacher to make worksheets for individualized instruction based on skills. This could be used for differentiation to support learners who have not mastered the concepts taught as well as to provide enrichment for students who have mastered the concepts taught. RESOURCES Step-by-Step Addition Website: http://www.dositey.com/2008/addsub/as85/add3r.htm Step-by-Step Subtraction Website: http://www.dositey.com/2008/addsub/subra4.htm Modeling Addition: http://www.harcourtschool.com/activity/math_models2/English/04/gr3ch04_ 3.html Modeling Subtraction: http://www.harcourtschool.com/activity/math_models2/English/04/gr3ch05_ 4.html Visualizing Addition with Regrouping: http://www.harcourtschool.com/activity/elab2004/gr3/3.html Visualizing Subtraction with Regrouping: http://www.harcourtschool.com/activity/elab2004/gr3/4.html IXL: Third Grade Addition: Section C Subtraction: Section D Estimation: L4 and L5 Students may need to go back to second grade concepts to develop a firmer understanding of addition and subtraction concepts. Enrichment can be provided by allowing students to work on fourth grade concepts. Domino Activity: VDOE—attached Addition and Subtraction Cards: attached Draggable Math: http://mrnussbaum.com/draggablemain/index3/ Estimation Valley Golf: http://mrnussbaum.com/golf/ Math Playground Worksheets http://www.mathplayground.com/wpdatabase/wpindex.html Dad’s Worksheets http://www.dadsworksheets.com/v1/Worksheets/Word%20Problems.html TEACHER NOTES: These activities are a sampling of lessons that can be done throughout the teaching of this SOL. Depending on class size, student ability, time restraints, etc, teachers could choose to implement these as partner activities, independent practice or centers.