# Math

WEEK OF MARCH 16

This week we will begin Investigations Unit 7: MULTIPLICATION AND DIVISION OF FRACTIONS

Students will

• multiply fractions.
• multiply mixed numbers.
• divide fractions.
• divide mixed numbers.

WEEK OF MARCH 9

This week we will finish Investigations Unit 6: DECIMALS

Students will

• multiply and divide decimals.
• compare and order decimals.
• convert standard and metric measurements

STUDENTS WILL TAKE THE DECIMAL ASSESSMENT ON WEDNESDAY.  March Evaluate will be completed on Thursday this week.

WEEK OF MARCH 2

This week we will begin Investigations Unit 6: DECIMALS

Students will

• multiply and divide decimals.
• compare and order decimals.
• convert standard and metric measurements

WEEK OF FEBRUARY 17

This week we will finish Investigations Unit 5: GRAPHING AND LINE PLOTS

Students will

• create line graphs, bar graphs, and line plots.
• interpret line graphs, bar graphs, and line plots.
• calculate mean, median, mode, and range.
• convert standard and metric measurements

STUDENTS WILL COMPLETE A LINE PLOT QUIZ.

WEEK OF FEBRUARY 10

This week we will begin Investigations Unit 5: GRAPHING AND LINE PLOTS

Students will

• create line graphs, bar graphs, and line plots.
• interpret line graphs, bar graphs, and line plots.
• calculate mean, median, mode, and range.

STUDENTS WILL COMPLETE A GRAPHING QUIZ.  This will be included on the progress report that will be sent home of Friday!

The Progress Report will reflect four grades.

WEEK OF FEBRUARY 3

This week we will begin Investigations Unit 5: GRAPHING AND LINE PLOTS

Students will

• create line graphs, bar graphs, and line plots.
• interpret line graphs, bar graphs, and line plots.
• calculate mean, median, mode, and range.

STUDENTS WILL COMPLETE AN ORDERED PAIR QUIZ.

WEEK OF JANUARY 27

This week we will begin Investigations Unit 5: GRAPHING AND LINE PLOTS

Students will

• create line graphs, bar graphs, and line plots.
• interpret line graphs, bar graphs, and line plots.
• calculate mean, median, mode, and range.

STUDENTS WILL COMPLETE THE JANUARY MATH EVALUATE TEST.

WEEK OF JANUARY 20

This week we will finish Investigations Unit 8: GEOMETRY: 2 -DIMENSIONAL

Students will

• define triangles according to their attributes.
• define quadrilaterals according to their attributes.
• categorize polygons according to their specific attributes.
• use the hierarchy of quadrilaterals to determine the relationship between shapes.
• use ordered pair to explain information about the location of points on a coordinate grid.

THE QUIZ THIS WEEK WILL BE BASED ON HOMEWORK PROBLEMS!

WEEKS OF JANUARY 6 and 13

This week we will be working on Investigations Unit 8: GEOMETRY: 2 -DIMENSIONAL

Students will

• define triangles according to their attributes.
• define quadrilaterals according to their attributes.
• categorize polygons according to their specific attributes.
• use the hierarchy of quadrilaterals to determine the relationship between shapes.
• use ordered pair to explain information about the location of points on a coordinate grid.

WEEKS OF DECEMBER 2, 9, and 16

This week we will be working on Investigations Unit 4: How Many People and Teams?  Multiplication and Division 2

Students will

• solve multiplication problems using the array, the bridge, and the U.S. algorithm.
• solve division problems using multiplication and long division.
• solve story problems that require the application of multiplication and division.
• estimate products and quotients.

WEEK OF NOVEMBER 11

STUDENTS WILL TAKE TWO FRACTION QUIZZES THIS WEEK (based on homework).

This week we will begin Investigations Unit 3: Rational Numbers - Fractions and Decimals

Students will

• use various models to explain the meaning of fractions.
• view fractions as division problems.
• calculate the fraction parts of whole numbers.
• compare and order fractions using proofs
• categorize fractions as less than, equal to, or greater than 1.
• use equivalent fractions to solve various problems.
• add and subtract fractions with different denominators.
• add and subtract mixed numbers.

WEEK OF NOVEMBER 4:  This week we will begin Investigations Unit 3: Rational Numbers - Fractions and Decimals

Students will

• use various models to explain the meaning of fractions.
• view fractions as division problems.
• calculate the fraction parts of whole numbers.
• compare and order fractions using proofs
• categorize fractions as less than, equal to, or greater than 1.
• use equivalent fractions to solve various problems.
• add and subtract fractions with different denominators.
• add and subtract mixed numbers.

WEEK OF OCTOBER 28:  This week we will begin Investigations Unit 3: Rational Numbers - Fractions and Decimals

Students will

• use various models to explain the meaning of fractions.
• view fractions as division problems.
• calculate the fraction parts of whole numbers.
• compare and order fractions using proofs
• categorize fractions as less than, equal to, or greater than 1.
• use equivalent fractions to solve various problems.
• add and subtract fractions with different denominators.
• add and subtract mixed numbers.

STUDENTS WILL TAKE TWO QUICK FRACTION QUIZZES THIS WEEK (based on homework).  In addition, students will complete the OCTOBER MATH EVALUATE TEST.

WEEK OF OCTOBER 21:  This week we will begin Investigations Unit 3: Rational Numbers - Fractions and Decimals

Students will

• use various models to explain the meaning of fractions.
• view fractions as division problems.
• calculate the fraction parts of whole numbers.
• compare and order fractions using proofs
• categorize fractions as less than, equal to, or greater than 1.
• use equivalent fractions to solve various problems.
• add and subtract fractions with different denominators.
• add and subtract mixed numbers.

THIS IS THE BIGGEST FOCUS AREA FOR 5th Graders!  We will spend a lot of time this year on fractions at various points in the school year!

WEEK OF OCTOBER 14:  This week we will begin Investigations Unit 2: 3-Dimensional Geometry and Volume

Students will

• calculate the volume of cubes and rectangular prisms.
• calculate the volume of complex prisms.
• explain what happens to dimensions of solids when the volume is doubled or changed in another way.

WE WILL FINISH THE VOLUME UNIT THIS WEEK.  THE NEXT UNIT WILL BE FOCUSED ON FRACTIONS.

WEEK OF OCTOBER 7:  This week we will begin Investigations Unit 2: 3-Dimensional Geometry and Volume

Students will

• calculate the volume of cubes and rectangular prisms.
• calculate the volume of complex prisms.
• explain what happens to dimensions of solids when the volume is doubled or changed in another way.

STUDENTS WILL TAKE TWO VOLUME QUIZZES THIS WEEK.  THEY WILL COUNT TOWARDS THE 1st QUARTER GRADE.  IN ADDITION, I WILL ENTER THE HOMEWORK GRADE FOR THE 1st QUARTER.  THIS WILL BE 10% OF YOUR CHILD'S 1st QUARTER GRADE IN MATH.

WEEK OF SEPTEMBER 30:  This week we will begin Investigations Unit 2: 3-Dimensional Geometry and Volume

Students will

• calculate the volume of cubes and rectangular prisms.
• calculate the volume of complex prisms.
• explain what happens to dimensions of solids when the volume is doubled or changed in another way.

WEEK OF SEPTEMBER 23:  This week we will continue Investigations Unit 1: Multiplication and Division

Students will

• examine the meaning of division.
• use multiplication to solve division problems.
• explore the mathematical meaning of division using powers of 10.

Students will take their 4th quiz of the quarter.  It will be a division quiz.

Students will take their September Evaluate test.

WEEK OF SEPTEMBER 16:  This week we will continue Investigations Unit 1: Multiplication and Division

Students will

• examine the meaning of division.
• use multiplication to solve division problems.

Students will take their 3rd quiz of the quarter.  It will be a multiplication quiz.

WEEK OF SEPTEMBER 9:  This week we will continue Investigations Unit 1: Multiplication and Division

Students will

• use starter problems to help solve multiplication problems with a context.
• use arrays to solve multiplication problems and to write equations using the distributive property.

Progress reports will reflect two grades - both quizzes.  Grades will be entered into the Parent Portal (SIS) by Wednesday, September 11.

WEEK OF SEPTEMBER 3:  This week we will continue Investigations Unit 1: Multiplication and Division

Students will

• use the order of operations to solve problems (at this point we do not use exponents - they are coming a little later).
• use arrays to solve multiplication problems and to write equations using the distributive property.

Students will have their first two quizzes of the year this week (Thursday and Friday).  The first quiz is about number properties (using arrays to       prove prime, composite, square, even, odd).  The second quiz is about order of operations.

A COUPLE OF NOTES:

1) In regards to order of operations, you may have learned this using the strategy (Please Excuse My Dear Aunt Sally)!  This stands for parentheses, exponents, multiplication, division, addition, and subtraction.  At this point in the year 5th graders do not use exponents (they will be taught!), so we go in the order 1) grouping symbols (parentheses and brackets)  2) multiplication and division (from left to right) and 3) addition and subtraction (from left to right).  IT IS IMPORTANT THAT STUDENTS UNDERSTAND THAT multiplication and division have the same priority - if these two operations are in the same equation you do the one that comes first.  This is the same with addition and subtraction.  It is a misconception that multiplication always comes before division and addition always comes before subtraction.

2) Your child will be working on a multiplication model called arrays.  They will need to use this tool to solve multiplication problems so that they can write equations that break apart the factors.  Your child will still be encouraged to use the multiplication strategy they feel most comfortable using, however, it is important that they learn how to use the array so they have a deeper understanding of multiplication!

WEEK OF AUGUST 26:  This week we will continue Investigations Unit 1: Multiplication and Division

Students will

• use arrays to describe the properties of numbers (even, odd, prime, composite, square).
• use the order of operations to solve problems (at this point we do not use exponents - they are coming a little later).
• use arrays to solve multiplication problems and to write equations using the distributive property.

WEEK OF AUGUST 19:  This week we will begin Investigations Unit 1: Multiplication and Division

Students will

• learn how to use arrays models to solve multiplication problems.
• apply the distributive property to two and three digit by one and two digit multiplication problems.
• learn the identity of individual numbers.
• learn how to use multiplication to solve division problems.
• learn how to use starter problems to solve both multiplication and division problems.
• increase computational fluency with both multiplication and division.
• learn the order of operations.

I will be adding resources over the next few weeks for multiplication and division!

Welcome to 5th grade math!  All 5th graders will be in Mr. Kain's math class!  I am very passionate about teaching this amazing subject.  I look forward to a year of learning, discovery, and growth for all students!

• We will use the Investigations 3 curriculum.  This is an inquiry-based math program that will focus on developing an understanding of math, which allows students to solve problems using more personalized strategies and ways of thinking.  Here is a link which will give more information about Investigations for 5th grade:  https://investigations.terc.edu/the-curriculum/?et_open_tab=et_pb_tab_1#my-tabs|6
• There are 8 units which will be taught.  While there is a lot of content to cover, the main focus areas will be on multiplication, division, and fractions.  Understanding of these concepts will greatly impact learning in all units!
• Our 5th graders will have math 70 minutes per day.  I will teach 60 minute blocks to each of my switch groups.  In addition, students will have 10-minute math in their homerooms.  10-minute math is an essential component of Investigations.  It is an opportunity for students to increase computational fluency and to revisit concepts from earlier units.
• Students have access to a math workbook which will be used at school.  In addition, all students will have digital access to Pearson Realize, which supports all math lessons in Investigations.  Further information about how students can access their Pearson accounts will be shared once we access these student accounts at school.
• Grades in math each quarter will come from a combination of quizzes, in-class math projects, homework, and unit tests.  More specific information will be posted as we begin our first unit in August.
• Students will have nightly homework in math.  It is very important that your child completes this homework so we can review it the next day in class!

Let the math begin!

Mr. Kain