Multiplication & DivisionJuly 2015

Standards

•Progressions•How many ways can you represent multiplication?

Ways to Look at Multiplication

9+9+9+9

Write a Multiplication Story for each ARRAY

3’s

2’s

MULTIPLICATION FACT Strategies

Multiplication Fact Strategies

• Doubles• Five Facts• Zeros and Ones• Nifty Nines

• Helping Facts

Van de Walle

Provide HOPE

Multiplication & Division Strategies

Multiplication

• Repeated Addition• Partial Products• Base 10 Blocks, # li

nes, arrays• Lattice• Traditional

Division

• Repeated Subtraction• Partial Quotients• Base 10 Blocks• Traditional

26 x 14 =

Comparing Lessons

EnVision

Multiplication•www.pearsonrealize.com •Gr 3 – 1.1

Division•Grade 4 – 7.4 (Texas)

Online State Curriculums

Multiplication•https://www.engageny.org/resource/grade-3-mathematics-module-1-topic-lesson-1

Division •http://education.ky.gov/educational/diff/documents/divisioninterpretingremainders.pdf

PARCC Samples• http://parcc.pearson.com/ • Division – Grade 4 PBA – 3,8

Why?

•What do kids know?•Where do they need help?•How can they connect their learning to real life experiences?

ANIE• Assessment of Numeracy in Education

Flip the Problem Solving Model

Traditional ANIE

Sample Questions

•7 + 4•33 x 5•3x + 5 = 20• Solve for A if r = 4, A=πr2

THE STEPS

Estimate

Calculate

Explain

Apply

Represent

Estimation

Did the student…•Make a reasonable estimate?•Use a grade appropriate strategy?•Explain their strategy?

CalculationDid the student…• use a grade-appropriate procedure?• carry out the procedure efficiently?• carry out the procedure accurately?

RepresentationDid the student• sketch the math accurately?• write the numbers accurately?• orally explain the concept using mathematical language?

Concept and ApplicationDid the student…• use a relevant real life situation?• apply the concept in their story accurately?• orally explain their understanding of the concept?

Scoring

Options for use• Pre-assessment to determine instructional priorities/groups• Morning work to review concepts in lieu of DCCR• Marking period assessment in lieu of quizzes to determine

report card indicator ratings