Curriculum Updates

Math Unit 6:  Representing and Comparing Fractions

Standards:

Develop understanding of fractions as numbers

MCC3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

MCC3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.

a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

MCC3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

a. Understand two fractions as equivalent (equal) if they are the same size or the same point on a number line.

b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

MCC3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

MCC3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

Advanced Only:

MCC4.MD.4. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).

MCC4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

MCC4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Essential Questions:

How are fractions used in problem-solving situations?

• How are tenths related to the whole?

• How can I collect and organize data?

• How can I compare fractions when they have the same denominators?

• How can I compare fractions when they have the same numerators?

• How can I compare fractions?

• How can I determine length to the nearest ¼?

• How can I display fractional parts of data in a graph?

• How can I organize data measured to the half inch?

• How can I organize data measured to the quarter inch?

• How can I represent fractions of different sizes?

• How can I show that one fraction is greater (or less) than another using my    Fraction Strips?

• How can I use fractions to name parts of a whole?

• How can I use pattern blocks to name fractions?

• How can I use pattern blocks to represent fractions?

• How can I write a fraction to represent a part of a group?

• How do I label a number line (ruler) to the half inch?

• How do I label a number line (ruler) to the quarter inch?

• How do I measure objects to the half inch?

• How do I measure objects to the quarter inch?

• How is the appropriate unit for measurement determined?

• How is the reasonableness of a measurement determined?

• What are the important features of a unit fraction?

• What does the denominator of a fraction represent?

• What does the numerator of a fraction represent?

• What equivalent groups of fractions can I discover using Fraction Strips?

• What estimation strategies are used in measurement?

• What fractions are on the number line between 0 and 1?

• What is a fraction?

• What is a real-life example of using fractions?

• What relationships can I discover about fractions?

• What relationships can I discover among the pattern blocks?

• When we compare two fractions, how do we know which has a greater value?

• Why are units important in measurement?

• Why is the size of the whole important? 

ELA
We will continue with Mr. Popper's Penguins as well as both groups will be reading selections from (my favorite!!) Junior Great Books.  We will have vocabulary quizzes on Friday in addition to comprehension!

Green Group Spelling

1.             song

2.            law

3.            because

4.            soft

5.            dawn

6.            crawl

7.            lost

8.            taught

9.            long

10.         pause

11.          frost

12.         lawn

13.         hawk

14.         laundry

15.         author

16.         applause

17.         sausage

18.         gnaw

19.         sauce

20.        flaw

1. courtesy-being polite and thoughtful; having good manners

2. virtue- knowing and doing what is good;

3. sufficient- enough

4. magistrate- an officer in charge of carrying out the law

5. conscientious- careful

6. obstacle- something that hinders progress or achievement

Pink Group Spelling and Vocabulary

Prot and Krot

Spelling Words                 

pollen

even

urban

seven

kitchen

reason

human

season

burden

wagon

oven

dragon

horizon

orphan

sudden

eleven

button

canyon

slogan

golden

Vocabulary Words

civil - well-mannered

brine - very salty water or seawater

obligingly - willingly and kindly

indebted - feeling grateful to someone who has done you a favor

impudent - rude, bold, and disrespectful

blacksmiths - people who make horseshoes and other things from iron

Science Test on Tuesday!