Numbers and Operations /Fractions

Today we will look at the content standards from Numbers and

Operations /Fractions. Our work today focuses on:

*Highlighting the BIG IDEAS in the 4th grade content standards

*Linking these BIG IDEAS with the Math Practice Standards

*Examining how Investigations lessons fully support the Common Core State

Standards for 4th grade

Task

2/3 of an apple is used to make an apple pie. We need to make 9 apple pies. How many apples do we need?

Be sure to include an equation and visual representation to match your solution!

• Fact: Fraction concepts are difficult

• Fact: Our students (and many adults) struggle with fraction concepts.

• Fact: What we have been doing isn’t working

• Fact: The Common Core is grounded in research about how students come to understand fraction concepts.

• Fraction work begins in 1st grade• The foundation for a child’s

conceptual understanding of fractions begins with partitioning and sharing.

• Fractions are a part of our everyday lives.

• Students need practice partitioning unmarked regions

Pre-partitioned regions lead to a common misconception

In K-2 Common Core fraction work….

Students are…

•Partitioning (splitting) a region (circle, rectangle, square) into 2, 3 or 4 equal regions•Communication about processes, content, vocabulary words.

Students use to but are NOT……

•Sharing equally•Working with sets or multiple objects•Writing fractions and fraction bars•Learning “numerator” and “denominator”

Partitioning

• K-2: Regions

• 3: Regions and Number lines

• 4:Strengthen Number lines, regions beginning

• 5: Number lines

TaskSolve the school carnival tasks at your

table. Represent your solutions on a number line and model each with an equation.

The water balloon both has ¾ of a gallon left. They need to fill 5 balloons. How much water should they use for each balloon?

Amy is serving strawberry ice cream. Each scoop contains ¼ of a cup. By the end of her first shift, she has scooped out 4 servings. How much ice cream has she served?

Glow sticks are a popular carnival prize. A box of glow sticks weighs ¼ of a pound. If I am carrying 7 pounds, how many boxes am I carrying?

As a group, look through your Common Core State Standards: 4.NF.1-4.NF.7 Locate the BIG IDEAS (main concepts, most important) and list them on your poster.

15 Minute Break

Please come back in a timely fashion!

Game Time!

Tossing Fraction Tiles

*Concept addressed

4.NF.3

A. Understand addition and subtraction fractions as joining and separating parts referring to the same whole.

B. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.

MATH REASONING!

https://mathreasoninginventory.com/https://mathreasoninginventory.com/Pdfs/InterviewScreensFractions.pdf

MATH REASONING!

https://mathreasoninginventory.com/https://mathreasoninginventory.com/Pdfs/InterviewScreensFractions.pdf

Roles:1 teacher1 student

MATH REASONING!

https://mathreasoninginventory.com/https://mathreasoninginventory.com/Pdfs/InterviewScreensFractions.pdf

Roles:1 teacher1 student

Now, let’s look at our CMS students and how they reason mathematically!

MATH REASONING!