In this unit, students will learn:

• the value of tenths and hundredths 
• a number can be represented as both a fraction and a decimal (.1 =1/10 or .32 = 32/100)
• decimal notation (write numbers in standard form 0.62)
• comparisons are valid only when two decimals refer to the same whole
• Compare decimals using visual models and symbols.
• Add two fractions with unlike denominators of 10 and 100

 

Websites/Online Resources

• StudyJam - Place Value of Decimals
• StudyJam - Place Decimals on a Number Line

Videos

 

 

 

 

 

 

Adding and subtracting mixed numbers can be tricky. Check out these videos to help you out!

 

 

 

 

 

These videos are about Renaming Mixed Numbers and Fractions.

 

This video is about the types of fractions and what exactly a "mixed number" is....

 

 

Here is how we "rename" fractions and mixed numbers.....

 

 

 

 

 

Essential Questions:

• How do adding and subtracting fractions help me in everyday life?
• How can I join fractions with like denominators?
• How can I separate fractions with like denominators?
• How can I convert a fraction greater than 1 into a mixed number?
• How can I add and subtract mixed numbers with like denominators?
• How can I represent unit fractions in a line plot?
• How can I add and subtract fractions found in a line plot?

In this unit, students will be able to:

• Join (compose) fractions of the same whole
• Separate (decompose) fractions of the same whole in various ways (e.g.
• Justify decompositions (e.g., by using a visual fraction model).
• Convert a fraction greater than one (formerly referred to as an improper fraction) into a sum of a whole number and a number less than one
• Add and subtract mixed numbers with like denominators using various strategies (e.g., replacing each number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction).
• Solve word problems involving addition and subtraction of fractions with like denominators (e.g., by using visual
  fraction models and equations to represent the problem.

Videos

Here are some videos about adding and subtracting fractions with the same denominators.

 

 

 

 

Finding common denominators is very important when working with fractions. It helps us compare, add, and subtract fractions.

 

 

 

 

Here are some videos that walk you through finding the simplest form of a fraction.

 

 

 

 

 

Essential Questions:

• How can fractions be compared?
• How can models help me find equivalent fractions?
• How can understanding numerators and denominators help me compare fractions?

In this unit, students will be able to:

• Use models to justify why fractions are equivalent
• Generate equivalent frations by using models
• Compare two fractions with different numberators and denominators using various strategies and recognize that comparisons are valid only when two fractions refer to the same whole.

Vocabulary

• Benchmark Fraction - a known reference fraction by which other fractions can be measured, e.g. 0, ½, ¼, ¾, 1
• Common denominator - when two or more fractions have the same denominator
• Denominator - bottom number in a fraction
• Line plot - display of data on a number line, using an x or another mark to show frequency
• Mixed number - number made up of a whole number and a fraction
• Numerator - top number in a fraction
• Equivalent Fractions – Two or more fractions that name the same amount.
• Simplest Form – A fraction is in simplest form when the numerator and denominator have only 1 as a common factor.
• Unit Fraction –  A fraction that has a numerator of 1. (such as ½ and ¼…etc)

Videos

 

 

 

 

Equivalent Fractions

 

This week students began working with fractions, and identifying and modeling equivalent fractions.

Below are some videos that can help your child understand equivalent fractions. 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Here is a printable fraction strip set for you to use at home.  Students will make their own set to use in class. This is a great tool to use when comparing fractions and identifying equivalent fractions.

 

I also found a video that shows you how to make your own set of fractions strips to use at home. This is a fun way to develop a concrete understanding of fractions, and is a lot of fun to do. These are great to use with homework!

 

These videos cover different strategies to solve division problems, and explain remainders.

 

Division 1: Introduction to division

 

Estimating is a great strategy to use when you want to figure out an approximate answer with mental math.

 

Division using Repeated Subtraction:

 

Division using Partial Quotients. This is a great strategy that many students find very useful when dividing large numbers.

 

Distributive Property to help break down big numbers when dividing

 

Here is a Khan Academy video that shows division with remainders.

More videos that help explain remainders: