### Math (3rd Nine Weeks)

### Decimals and Fractions, Weight/Measurement, Data Analysis

**Essential Questions for this unit are:**

- How are decimals related to the base ten number system? Decimals and Fractions
- How do I apply the use of fractions and decimals in everyday life? Deciamals/Fractions
- What strategies can I use to find the unknown value in fractional computation? Weight/Measurement
- What relationships can be found within the standard system or metric system of measurement?
- What happens to the measurement of an object when I change the unit of measurement? Data Analysis
- How can graphing patterns be used to predict what will happen next? Data Analysis
- What are the advantages of working with a line plot? Data Analysis

When we complete this unit, students should have an enduring understanding of the following topics:

- Parts of a whole or set may be represented in a variety of ways - fractions, decimal fractions, improper fractions, and mixed numbers.
- When fractions, decimal fractions, improper fractions or mixed numbers are added or subtracted the same rules of computation apply as for whole numbers.
- Fractional parts are equal shares of a whole. The size of a fractional part depends on the size of the whole.
- Equivalent fractions are different ways of describing the same amount using different fractional parts.
- Decimals are another way of writing fractions. The decimal point separates the whole from the fractional part.
- There are two systems of weight, customary and metric. Measurement is a comparison of the object being measured with a "unit". Comparison of units can only be made within the same system e.g. grams can be compared to kilograms but not to ounces.
- Trends and generalizations can be made by analyzing data within a graphical representation.

**REVIEW**

**Place Value**

Vocabulary

- decimal point
- place value
- digit
- million
- tenths
- hundredths
- value
- expanded form
- standard form
- rounding
- expression
- reasonable
- position
- represent
- estimate
- evaluate

**Decimals and Fractions**

Vocabulary

- proper fraction
- improper fraction
- mixed fraction
- numerator
- denominator
- common denominator
- equivalent fraction
- equivalent decimal
- decimal fraction
- decimal point

**Funny Songs to help with understanding **

Fraction Song- Fractions Aren't Scary

Teacher's Pick- Fraction Shuffle

Introduction to fractions in our everyday lives...

Mr. Dewy Explains Proper and Improper Fractions

**This is a wonderful sort you can print for additional practice at home.**

Index of many different fraction skills

Cyber Chase (Equivalent Fractions)

Fraction Monkeys (older version)

Improper fractions to mixed numbers

Improper fraction to mixed numbers

Index of many math skills- Scroll down for Fractions

**Weight and Measurement**

**Everyone knows how we could weigh ourselves using a set of bathroom scales, but how do we weigh smaller amounts or LARGER amounts? How does the way we measure weight differ from the standards they use in other parts of the world? **Vocabulary

- gram (g)
- kilogram (kg)
- ton (t)
- metric unit
- standard unit
- ounce (oz)
- pound (lb)
- weight

**Data Analysis-REVIEW**

Vocabulary

- x-axis
- y-axis
- trend
- line graph
- line plot
- pictograph
- Venn diagram
- bar graph
- table
- chart
- data
- interpret
- range
- median
- mode