G5+Math+Unit+1

** Curriculum Map ** ** Unit 1: Number Puzzles and Multiple Towers ** ** (Try to move this unit a little faster then is currently paced as 5 days will be needed for unit 4) **
 * Grade 5 **

1.1-1.7 Students will work to create posters with arrays of various sizes, giving both a written explanation as well as a numerical justification. 2.1-2.6 Students will create story problems with representations, as well as show all of the steps taken to solve the equation. 3.1-.3.8 Students will work on creating division story problems. They will solve them and show representations of there work. 5.0A1, 5.OA.2, 5.NBT.5 || MP2, MP7, MP6 MP3 MP8, MP1 5.0A1, 5.OA.2, 5.NBT.5 || 5.0A1, 5.OA.2, 5.NBT.5 || Students use arrays and number puzzles to learn about factor, multiples and other properties of numbers || **__ Multiplication Strategies __** Students develop a number of strategies for solving 2-digit by 2-digit multiplication problems; including breaking numbers apart, solving an equivalent problem, and solving related problems. || **__ Division Strategies __**
 * ** Enduring Understanding ** || Factors are simply a list of the digits that can be multiplied to get a given product || There are many methods to use when solving two digit multiplication equations || Dividing a problem is simply splitting it up into parts . ||
 * ** Essential Question ** || How can becoming fluent in multiplication and addition help with computational skills ? || What are some methods that can be used to solve multiplication equations with two digits? || What is the basic understanding needed to solve division problems? ||
 * ** Performance Task ** || Investigation 1
 * Students will create factor trees of various numbers. ** || Investigation 2
 * Create a story poster individually to represent a given equation. ** || Investigation 3
 * Solve story problems using groupings to represent division strategies ** ||
 * ** Efs Standards ** |||||| C ~ The Dynamics of System & Change; H ~ Multiple Perspectives; ||
 * ** Common Core State Standards ** || MP6, MP2
 * ** Learning outcomes ** || **__ Finding Factors and Prime Factors __**

Students develop various strategies for solving division problems with 2-digit divisors and for interpreting the results. || MP1- Make sense of problems and persevere in solving them. MP2- Reason abstractly and quantitatively. ** MP3 ** Construct viable arguments and critique the reasoning of others ** MP4 ** Model with mathematics.
 * ** Time Frame ** || ** 8 days ** || ** 7 days ** || 8 **days** ||
 * ** Assessments ** || Pre- Unit assessment (quiz), checking the students understanding of arrays, prime factorization, and finding the factors of numbers. The end of unit assessment will assess the student’s abilities to solve for prime factors, use arrays and identify factors in problems. || Pre- Unit assessment (quiz) will check for student’s ability to solve multiplication problems with one digit to two digit problems. The end of unit assessment will assess what strategies the students have in place to solve multiplication problems as well as how effectively they use them. || Pre-Unit assessment (quiz) will assess the student’s abilities divide two digit numbers into three digit numbers. The end of unit assessment will assess the student’s abilities to solve a variety of division problems. ||
 * MP5 ** Use appropriate tools strategically. ** MP6 ** Attend to precision.
 * MP7 ** Look for and make use of structure. ** MP8 ** Look for and express regularity in repeated reasoning.