# Week 10: Understanding by Design (UbD) Fractions Unit for EDET637 — Unfolding Planning

 Stage 1 Desired Results ESTABLISHED GOALS Instructional Focus: Sixth Grade Standards— 2. “Students use the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. Students use these operations to solve problems.” (Alaska English/Language Arts & Mathematics Standards June 2012, p. 140) Transfer Students will be able to independently use their learning to…     Reduce, calculate and conceptually apply fraction in addition and subtractions. Recognize concepts and terminology related to reducing, calculating and applying fraction concepts. Transfer their knowledge to pre-algebra concepts and understanding of how fractions are used in the real world. Meaning UNDERSTANDINGS Students will understand that… Multiplication and division fluency directly impact their ability to calculate addition and subtraction of fractions. Fluency in recognizing different types of fractions and how fractions relate to a whole helps them understand concepts and terminology. ESSENTIAL QUESTIONS How can reducing or increasing fractions, using least common multiple or greatest common factor, help me in the real world—at home, on the job? (cooking, sewing, construction, water treatment, computer coding. . .) What type of math does knowing this prepare me for? Acquisition Students will know…                          Apply and extend previous understandings of multiplication and division to divide fractions by fractions 6.NS.1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions (e.g., by using visual fraction models and equations to represent the problem). Students will be skilled at…   According to individual needs: reducing and calculating fractions through addition and subtraction.   They will work on multiplication and division fluency to help them complete fraction calculations with 95% or higher accuracy. Stage 2 – Evidence Evaluative Criteria Assessment Evidence Pre and post test PERFORMANCE TASK(S): Students will take a pretest and post test to demonstrate their strengths and weaknesses in adding and subtracting fractions, including a few word problems.   They will use a paper and pencil test for this. Students will use computer games to increase skills in calculations. Students will use worksheets to practice skills where they can practice their computation accuracy at an instructional skill level. OTHER EVIDENCE: The teacher will observe and track which games they are using to make sure students are working at an appropriate level for their skills as shown on the pretest. Worksheets will be collected as evidence of calculation for accuracy. Students will be observed for engagement, understanding, and motivation. Increases math fact fluency will be noted through timed multiplication / division paper pencil tests.

 Stage 3 – Learning Plan Summary of Key Learning Events and Instruction To begin with, students will complete pretest activities using worksheet and pencil. Then they will start using gaming to get started with fluency. When fraction concepts need to be further clarified, students will view and go over mini-lessons that are presented in Coolmath.com for visual support and discuss this concept with the teacher. Three days per week of paper pencil practice at individualized levels. Two days per week of game practice. Students will choose a game that will strengthen personal areas of need.

Group Composition

Student Group is made up of one sixth grader, two seventh graders, and two eighth graders. They are sent to me for response to intervention (RTI) each day for extra practice in focus areas of math for them. Two students are on an IEP and are preparing for pre-algebra for next fall. The other three students will likely be in small group basic skills RTI math again next year.

Technology Resources for practicing terminology and fluency:

http://www.coolmath-games.com/0-fraction-splat

CoolMath Fraction Splat Instructions:

Click on the types of fractions for each round, (There are three rounds.) Click the finished button once you have found them all.

Round 1 Target: Mixed Numbers

Teaches terminology: improper fraction whole number mixed number

Round 2 Target: Fractions that are greater than or equal to 1

Round 3: Target=Fractions that are less than 1/2

http://www.coolmath-games.com/0-fractone

FractOne – Your goal is to get sums of 1. Get it? FractONE:  Click on pairs of squares that add up to 1 and do it as fast as you can!

Technology Resources through Cool Math using simple explanations and visual representations for mini-lessons that will be used to individualize according to student needs:

1. Factors and Primes http://www.coolmath.com/prealgebra/00-factors-primes
2. Divisibility Tests
3. Factorizations
4. Prime and Composite Numbers
5. Prime Factorizations
1. Intro to Fractions
2. Mixed Numbers http://www.coolmath.com/prealgebra/01-fractions/fractions-02-mixed-numbers-01
3. Equivalent Fractions Part 1 http://www.coolmath.com/prealgebra/01-fractions/fractions-04-equivalent-01
4. The Magic 1 (fluency in matching fractions to make one whole)
5. http://www.coolmath.com/prealgebra/01-fractions/fractions-03-magic-one-01
1. Common Factors (Common Divisors)
2. Greatest Comon Factor (GCF)—Also known as Greatest Common Divisor (GCD)
3. Common Multiples
4. Least Common Multiple (LCM)

Game choices

Technology Resources for practicing terminology and fluency:

http://www.coolmath-games.com

http://www.coolmath-games.com/0-fraction-splat

CoolMath Fraction Splat Instructions:

Click on the types of fractions for each round, (There are three rounds.) Click the finished button once you have found them all.

Round 1 Target: Mixed Numbers:  Teaches terminology: improper fraction whole number mixed number

Round 2 Target: Fractions that are greater than or equal to 1

Round 3: Target=Fractions that are less than 1/2

http://www.coolmath-games.com/0-fractone

FractOne – Your goal is to get sums of 1. Get it? FractONE

Click on pairs of squares that add up to 1 and do it as fast as you can!

Teaches fluency in adding numerators with a variety of denominators to equal one whole. Results produce how many seconds it took the player and what this adds up to in minutes and seconds.

Students will track their progress for fluency in games and paper pencil.

Game: The Clue Finders Math Adventures Ages 9-12 with multiplication, division, and fractions. The Learning Company—Windows & Macintosh. With 10 levels of difficulty; auto-leveling, 50 printable activities, personalized workbooks and rewards. Game to practice multiplication and division fluency and fractions: http://www.mathblaster.com

Game: MindTwister Math by Edmark. Increases math fact fluency and strengthens mental math skills.

Game: Math Blaster Hyper Blaster II-HD

Game: Fractions and Smart Pirates In App Store

Alaska English/Language Arts and Mathematics Standards pp. 144-162. Retrieved on 3-27-16 from:  https://education.alaska.gov/akstandards/standards/akstandards_elaandmath_080812.pdf

Childre, A., Sands, J. R., & Pope, S. T. (2009). Backward design. Teaching Exceptional Children, 41(5), pp. 6-14.

Donhauser, M., Hersey, H., Stutzman, C., & Zane, M. (2014). From lesson plan to learning plan: An introduction to the inquiry learning plan. School Library Monthly, 31(1).

Keeling, M. (2015). Backwards design considerations for the 21st-century school library. School Library Monthly, 21(4), pp. 22-24.

Lubiner, G. (2014). Understanding by design: A unit on color theory. Arts & Activities, 156(1), pp. 20-44.

Wiggins, G. and McTighe, J. (2011). The understanding by design guide to creating high-quality units. Alexandria, VA: ASCD

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