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!
