Upload
others
View
9
Download
2
Embed Size (px)
Citation preview
Fractions, Decimals, and Percents.notebook
1
March 07, 2011
Sep 2911:57 AM
Fractions, Decimals, and Percents
Sep 2911:57 AM
Fraction RiddlesDraw a rectangle to represent the following scenarios
• A rectangle is 1/2 red, 1/5 green, 1/10 blue, and the rest yellow. How much of the rectangle is yellow? • A rectangle is 3/5 red. The rest is blue and yellow but not in equal amounts. What could the rectangle look like?• A rectangle is 1/2 red and 1/3 blue. It also has green and yellow in equal amounts. What could the rectangle look like?
Sep 2911:57 AM
1. Students must experience fractions in many ways including parts of wholes, ratios, and division
2. Three types of models exist: area, length, and part of a set.
3. Partitioning and iterating are ways to understand.4. Students need to have many experiences estimating
with fractions5. Understanding equivalence is critical.
Computation
1. The meaning of each operation with fractions is the same as the meaning of each operation with whole numbers.
2. Estimation is tied to the concept of the operations.
Fraction Big Ideas
Sep 2911:57 AM
• Math Activity: Thinking about Fractional Amounts
Sep 2911:57 AM
What is a Fraction?
• Sharing• 10 brownies shared with 4 children• 5 pizzas shared with 3 children
• Ratios
• Division
Sep 2911:57 AM
What is the Whole?Why does the Whole matter?• Measurement wholes• Geometric wholes• Part of a set• If xxx if 1/3, what is the whole?• If xxxxxx is 3/8, what is the whole?
Fractions, Decimals, and Percents.notebook
2
March 07, 2011
Sep 2911:57 AM
What is the Whole?• Geometric Wholes
• Tangrams• Pattern blocks• Geoboards• Fraction circles• Graph paper• Fraction bars / Cuisenaire rods• Fraction plates
Sep 2911:57 AM
Fractions and Number Sense
• Comparing and ordering fractions• Order the following set of fractions from smallest to largest value in your journal without using computation. Explain to a partner how you know the fractions are in the right order. 1/8 3/7 1/2 3/5 1/4 3/2 5/9 2/3 2/9 7/12 5/6 8/11 7/10 7/4
Sep 2911:57 AM
Review of the Meaning of Addition and Subtraction• What is addition?
• What is subtraction?
What doe
s the com
mon den
ominator
have to d
o with an
ything?
Number Sense ASR Activity• Closer to 0, 1/2 or 1
Sep 2911:57 AM
Multiple StripsNLVM Factor Tree Venn Diagram
Sep 2911:57 AM
Review of the Meaning of Multiplication and Division• What is multiplication?
• What is division?
• Rectangular array• Multiplying and Dividing with Fractions (MMO p. 63)
Sep 2911:57 AM
Draw a picture in your journal representing the following problems
• Wanda really likes cake. She decides that a serving should be 3/5 of a cake. She has 4 cakes. How many servings does she have?
• I put 2 2/3 gallons of gas into my empty lawn mower. I notice that it is now 2/3 filled. What is the capacity of my gas tank?
Write an equation for each problem.
Fractions, Decimals, and Percents.notebook
3
March 07, 2011
Sep 2911:57 AM
Decimals and Percents In the textbook, the authors discussed not directly teaching procedures for decimal operations, but instead to rely on the number sense developed about number systems and estimation to guide their strategies. What does this mean for the teacher?
Sep 2911:57 AM
Decimals and Percents Big Ideas• Decimal numbers are another way of writing fractions.• The base‐ten place‐value system extends infinitely in both directions.• The decimal point is a convention to indicate units position.• Percents are hundredths and another way to express fractions and decimals.• Addition and subtraction with decimals are a simple extension of whole numbers.• Multiplication and division of two numbers will produce the same digits, regardless of the positions of the decimal points.
Sep 2911:57 AM
Rational NumbersRational number line
Number systems
Connections between fractions, decimals, and percents
Walking a decimal number line
Decimal estimation activities
What about the decimal point
Base Blocks decimals
Place value number line
Sep 2911:57 AM
Percents
• Use problem‐based activities• Use real problems• Use friendly percents