# Common Core Standards 1.MD.4 Lesson Plans

## Common Core Standards 1.MD.4 Lesson Plans

In 1st Grade Measurement and Data, item 4, ( 1.MD.4), The Common Core State Standards for Mathematics read

1.MD.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.

# Common Core Standard 4.NF.2 Lesson Plans

In Fourth Grade Number and Operations—Fractions, Item 1, the Common Core State Standards for Mathematics reads:

4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

## Lesson Plans on this Topic

Fourth Grade Fractions: Bringing Order to Disorder

# Common Core Standard 4.NF.1 Lesson Plans

In Fourth Grade Number and Operations—Fractions,  Item 1, the Common Core State Standards for Mathematics reads:

Extend understanding of fraction equivalence and ordering.

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.

### Lesson Plans on This Topic

Playing With Parts: Understanding Equivalent Fractions

# Common Core Standard 3.MD.4 Lesson Plans

In 3.MD.4, Third Grade Measurement and Data item 4, the Common Core State Standards for Mathematics reads:

3.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.

# Common Core Standard 7.SP.C.6 Lesson Plans

In (7.SP.C.6), the Common Core State Standards for Mathematics reads ‘Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.’

# Common Core Standard 3.NF.3 Lesson Plans

In 3.NF.3, Third Grade Number and Fractions item 3, the Common Core State Standards for Mathematics reads:

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.

# Common Core Standard 7.NS.A.2 Lesson Plans

In (7.NS.A.2), the Common Core State Standards for Mathematics reads ‘Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.’

• CCSS.MATH.CONTENT.7.NS.A.2.A
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

# Common Core Standard 3.NF.2 Lesson Plans

Under 3.NF.2, third grade numbers and fractions item 2, the Common Core State Standards for Mathematics reads:

3.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.

# Common Core Standard 8.EE.A.1 Lesson Plans

In (8.EE.A.1), the Common Core State Standards for Mathematics reads ‘Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3-5 = 3-3 = 1/33 = 1/27.’

# Common Core Standard 3.NF.1 Lesson Plans

Under 3.NF.1, under the first item of 3rd Grade Number and Operations– Fractions, the Common Core State Standards for Mathematics reads:

3.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.

## Lesson Plans on this Topic

• Fractions and a Secret Code: Fractional Notation