# Math

## 3rd Quarter

Check out the links below for information on our next unit: Geometry/Classification of 2-D Figures.

Clarification of Standards for Parents:

Unit Parent Letters

## November 26th-December 20th

This Week:

Monday: Subtracting mixed numbers with regrouping

Tuesday: 5 question assessment on adding and subtracting mixed numbers (This is NOT graded.  It will just be used to create level groups for centers.) The remainder of today we will be adding and subtracting mixed numbers within in word problems.  Looking at how to determine which operation we will use.

Wednesday & Thursday: Centers

Friday: Quiz on adding/subtracting fractions. (with and without regrouping)

*There will be homework on Monday and Tuesday.  Homework on Wednesday and Thursday will depend on if they finish their center work.  If time they stay on task, they should be finished within the 30 minute center time.

Week of December 4th:

Multiplying fractions

*Students will learn a variety of ways to look at each problem.  Can their reduce the fractions first? Cross-cancel?  They will also learn that when multiplying a fraction by a fraction, the product is smaller than both fractions.  When multiplying a fraction by a whole/mixed number, the product is larger than the fraction, but smaller than the whole/mixed number.  Finally when multiplying a mixed number by a mixed number, it product will be larger than both mixed numbers.  This will be important for them to understand.  It will help them to be able to check their reasonableness.

Week of December 11th

Dividing fractions

Quiz on multiplying and dividing fractions on Friday the 15th

December 18th: Review and we are also scheduled to have the 5th grade holiday parties

December 19th: Fractions Unit Test (THIS WILL BE OVER EVERYTHING WE HAVE COVERED).  This grade will also count twice in the grade book.  A study guide will go home on the 11th.

December 20th: School Assembly, so I am not sure how much math time we will have due to the short day.  If we do end up having class, we will math games involving fractions.

## 2nd Quarter:

This quarter is all about fractions!  Fractions is a big unit in 5th grade.  About 30% of the EOG will have something to do with fractions.

Here are the skills we have learned so far:

• Making equivalent fractions
• Comparing and ordering fractions
• Renaming fractions
• Simplifying fractions
• Adding/subtracting with like denominators and reducing the answer to simplest form.
• Least Common Multiple
• Greatest Common Factor

This week:

• Changing improper fractions to mixed numbers.  First with the visual representation using models and then using an algorithm.
• Changing mixed numbers to improper fractions.  First using models and then using the standard algorithm.
• Looking at fractions as division.

Next Week:

• Adding and subtracting fractions with unlike denominators.  This will require a good understanding of all previously taught fraction skills.

## Week of October 10th:

This week we will be finishing up our units on decimals.  Be on the look out for an upcoming test date!

Standards:

NBT.5: Fluently multiply multi-digit whole numbers using the standard algorithm up to a 3 digit by a 2 digit factor.

NBT.6 Fluently divide up to 4-digit dividends and 2-digit divisors.  Illustrate and explain the calculation by using equations or concrete models.

NBT.7: Add, subtract, multiply, and divide decimals to the hundredths.

The remainder of the second quarter will focus solely on fractions.  Students will learn how to add, subtract, multiply, and divide fractions with unlike denominators.

## Week of September 18th:

OA.1: Use parentheses, brackets, and braces in numerical expressions, and evaluate expressions with these symbols.

OA.2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

## Week of August 28th:

Concepts covered this week:

Monday: Writing decimals in expanded form and powers of 10

Tuesday:

McLaughlin- Guidance

Corcoran- Comparing/ordering decimals

Wednesday:

McLaughlin- Comparing/ordering decimals

Corcoran- Guidance

Thursday– Rounding Decimals

Friday- Review and extension on skills covered this week.

Students will also complete a skills assessment to gauge their level of understanding of concepts covered throughout the week.

**Reminder: Early Release on Wednesday 08/30/17.  Students will be dismissed at 12:30.  ASP is still offered.

## Week of August 21st:

This week we will begin working with decimals.  This unit is similar to our unit on place value of whole numbers, but now it will include decimals.  Students will be asked to write numbers with decimals in standard form, word form, expanded form, and powers of 10.

Standards for the Week:

NBT.1 Recognize that in a multidigit number, a digit in one place represents 10 times as much as it represents to its right and 1/10 of what it represents in the place to its left (Students will work with place values from thousandths to one million).

NBT.3 Read, write and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number name, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

In this unit, students will:

Solve problems by understanding that like how numbers, the location of a digits in decimal numbers determines the value of a digit.

Understand that rounding decimals should be “sensible” for the context of the problem.

Understand that decimal numbers can be represented with models.

Understand that addition and subtraction with decimals are based on the fundamental concept of adding and subtracting the numbers in like position values.

## Week of August 14th

Topics for the week:

• Powers of 10
• Students will explore that as you move left in a number it increases in multiples of 10.  If you move right, it is divided by 10.
• Exponents.  Identifying the base number and the exponent and how to correctly solve for the value.
• Divisibility Rules (This will be a huge help once we get to fractions)
• Introduction to decimals.  Next week we will be working on place value of numbers that include decimals.  It will be very similar to when we covered place value of whole numbers.

**Please encourage your child to work hard during morning work.   This is a great time to review, extend, and pre-teach concepts.  Morning work is discussed at the very beginning of each math lesson.  Students should not be coming to math with 0 problems completed.

## Week of August 7th

This week we are heading full force in to our curriculum.  For this week we are going to be focusing on place value of whole numbers through the hundred millions. We will be reviewing and extending how to write numbers in different ways: standard, expanded, and word form.  Expanded form is different from what was learned in 4th grade.

Example:

Last year they were taught: 2,456= 2,000 + 400+ 50+ 6

This year the expectation is: (2 x 1,000) + (4 x 100) + (5 x 10) + (6 x 1)

By the end of the week classes will also begin learning about powers of 10 and exponents.  This is a new concept for many students, so be checking their agenda for some home practice work.  Also, keep reviewing those multiplication facts.  Last week we discussed that 90% of math in 5th grade will require students to have mastery of their facts.  We stressed the importance of not guessing the answer to fact they do not know.  Instead of guessing, what strategies can they apply to find the correct answer?

Morning work is going well.  This is time in which we talk more in depth about numbers, different math skills, and students are taught to verbalize their thinking, evaluate their work before starting the problem, as they are working through it, and when they find their answer.  Students have shown excitement over learning things they haven’t known before!!

## Quarter 1:

### Unit#1 Place Value of Whole Numbers and Order of Operations

#### Standards:

• OA.1 Use Parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
• OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
• NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
• NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm (or
• other strategies demonstrating understanding of multiplication) up to a 3 digit by 2 digit divisor.
• NBT.6 Fluently divide up to 4-digit dividends and 2-digit divisors.

### Unit #2 Decimals

• NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• NBT.3 Read, write, and compare decimals to the thousandths.
• NBT.4 Use place value understanding to round decimals up to the hundredths place.
• NBT.7 Add and subtract decimals to the hundredths place.

### Unit #3 Multiplying and Dividing with Decimals

• NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
• NBT.7 All operations with decimals.  (Add, subtract, multiply, and divide)