K-12 Fraction Fun!

Jennifer Bell, @jkjohnsonbell

Warm up:

Show 3/8 as many ways as you can.

Goals and Expectations

Goals:

I can describe learning progressions for fractions.

I can use visual models for fractions and fraction operations (addition, subtraction, multiplication and division).

Expectations:

Active Engagement

Silence Technology

Fraction Standards

Kindergarten: Divide shapes into equal numbers of a smaller shape.

First Grade: Divide shapes into halves and fourths

Second Grade: Divide shapes into equal shares and name the fraction

Third Grade: Explore equivalent fractions and simple computations with unit fractions

Fourth Grade: Add and subtract fractions with like denominators

Fifth Grade: Add, subtract, multiply, and divide fractions and mixed numbers with like and unlike denominators

Fraction Standards

Mathematical Practices

MP.1 Make sense of problems and persevere in solving them.

MP.2 Reason abstractly and quantitatively.

MP.3 Construct viable arguments and critique the reasoning of others.

MP.4 Model with mathematics.

MP.5 Use appropriate tools strategically.

MP.6 Attend to precision.

MP.7 Look for and make use of structure.

MP.8 Look for and express regularity in repeated reasoning.

Research http://goo.gl/BQ9zJx

OR

http://www.cmu.edu/news/stories/archives/2012/june/june15_mathsuccess.html

Read the article and identify 4 As: Agree Argue Aha Aspire

Kindergarten

Build a square.

1. Using 4

2. Using 4

3. Using 1 and 1

First Grade

How many ways can you fold this shape into halves?

How many ways can you fold this shape into fourths?

Second Grade

Fold the rectangle into 2 equal shares.

Fold the rectangle into 3 equal shares.

Fold the rectangle into 4 equal shares.

Third Grade

Vocabulary:

Unit Fraction

Fraction Bars

Fractions on a Number Line

Fraction Strips

Equivalent Fractions

Third Grade

What fractions are equivalent to ½?

Fourth GradeUse a model to calculate the following

1.

2.

3.

€

1

6+3

6

€

3

4+1

4

€

3

8+4

8

Fourth Grade

Draw a model for the problem. Then solve.

Stella ran ½ mile. Brian ran 7 times as far as Stella. How far did Brian run?

Fifth Grade

Draw a model and solve:

€

1

3+1

4

Fifth Grade

Draw a model and solve:

€

1

2•1

4

What next? Sixth grade: positive and negative

numbers, proportions

Seventh grade: positive and negative fractions

Eighth grade: Algebra problems with positive and negative fractions

High school: Algebra and Calculus problems with positive and negative fractions, including irrational fractions

Goals and ReflectionsGoals:

I can describe learning progressions for fractions.

I can use visual models for fractions and fraction operations (addition, subtraction, multiplication and division).

Reflection:

Tweet a fraction problem or learning progression idea from this session. #TMC15 #fractions

Jennifer Bell (jennifer.bell@orecity.k12.or.us)

Twitter: @jkjohnsonbell