Math

Math Homework

Week 13- Nov. 12th

Week 14- Nov. 18

Week 15-Nov. 25th

Week 16-Dec. 2nd

Week 17- Dec. 9th

Week 18- Jan. 6th

Week 19- Jan. 13th

Week 20-Jan. 24th

Week 21- Jan. 27th

Week 22- Feb. 3rd

Week 23- Feb.10th No Math sheet

Week 24- Feb. 18th

Week 25- Feb. 24th

Week 26- March 2

Week 27- March 9th

Week 28- March 30th






You know that your students need to be able to perform mental multiplication in order to be successful in mathematics.

Which is why it's so frustrating to see them struggle with basic multiplication skills. Yes, many can memorize the classic 12x12 multiplication table, but give them values beyond the grid and see how fast they reach for a calculator.

Why do many students fail to grasp multiplication? Because they never gain a true conceptual understanding (beyond rote memorization) at the elementary levels.

Without deep exploration into the concept of multiplication, your kids will never truly grasp how to multiply—and this lack of understanding will surely prevent them from excelling at higher levels of math.

How can you help your kids to gain a deeper understanding of multiplication?Enter Area Models. And using Area Models is an awesome strategy to get kids thinking visually about multiplication, which is the approach that Mathematical Mindsets author Jo Boaler recommends most for improving math understanding.
The use of Area Models for teaching multiplication is also recommended by the National Council of Teachers of Mathematics (NCTM)!
How do they work? An area model is a visual aid that represents the product of two numbers. The model acts like a bingo board where each box represents the product of it's corresponding row and column. 

February/March 2020- Multiplication and Division

Strategies Taught in Class
Would you like to see the examples we did in class?  See below attachments for the strategies taught during math.
Division Strategy #1- Long Division
This can be a little tricky because of all the steps involved.  To help you with your homework, see the below files.  First, you will see the SMART board lesson we did in class.  Next, you will find handout given in class which outlines the steps for long division.  This exact sheet will be used in class, and we'll highlight the steps in different colors to help keep you on track!  Don't worry - we will spend way more time going over and over this in class!

long_division_steps_and_example.notebook
Download File

steps_for_long_division.docx
Download File
Division Strategy #2- Base 10 BlocksTo review what was done, or see the examples one more time - please download the documents attached.

division_strategy_1-_in_class_example.notebook
Download File


division_strategy_1-_base_10_blocks.docx
Download File


January and February 2020- Math

January- March Outcomes:

Apply the properties of 0 and 1 for multiplication and the property of 1 for division.



Describe and apply mental mathematics strategies such as: 

  • skip counting from a known fact 
  • using doubling or halving 
  • using doubling or halving and adding or subtracting one more group *using patterns in the 9s facts 
  • using repeated doubling to determine basic multiplication facts to 9 × 9 and related division facts.


  1. Power Lines 1 - Mathematical reasoning level 1
  2. Power Lines 2 - Mathematical reasoning level 2
  3. Power Lines 3 - Mathematical reasoning level 3
  4. Sudoku Online (choose from various levels)
  5. Algebra Puzzle- Find the value of each of the three objects presented in the puzzle
  6. Number Puzzle - Use mental math skills to solve a pyramid number puzzle.
  7. Sudoku Online (choose from various levels)

Demonstrate an understanding of multiplication (2- or 3-digit by 1-digit) to solve problems by

  • using personal strategies for multiplication with and without concrete materials
  • using arrays to represent multiplication connecting concrete representations to symbolic representations
  • estimating products 
  • applying the distributive property.


  1. Interactive Algebra Quiz-Distributive Property Distributive Property Worksheets
  2. Meteor Multiplication Arcademic Skill Builders
  3. Multiplication Grand Prix  Multi-player(Academic Skill Builders)

Demonstrate an understanding of division (1-digit divisor and up to 2-digit dividend) to solve problems by:

  • using personal strategies for dividing with and without concrete materials 
  • estimating quotients 
  • relating division to multiplication



Distributive Property of Multiplication


AREA MODEL


Licence to Multiply

Picture

Multiplication Properties

Distributive Property

2 and 3 digit by 1 digit multiplication



December Outcomes:

Read and record time, using digital and analog clocks, including 24-hour clocks.

  • State the number of hours in a day. Express the time orally and numerically from a 12-hour analog clock.
  • Express the time orally and numerically from a 24-hour analog clock. Express the time orally and numerically from a 12-hour digital clock.
  • Express time orally and numerically from a 24-hour digital clock. Describe time orally as “minutes to” or “minutes after” the hour
  • Explain the meaning of a.m. and p.m., and provide an example of an activity that occurs
Read and record calendar dates in a variety of formats.
  • Write dates in a variety of formats; e.g., yyyy/mm/dd, dd/mm/yyyy, March 21, 2007, dd/mm/yy.
  • Relate dates written in the format yyyy/mm/dd to dates on a calendar.
  • Identify possible interpretations of a given date; e.g., 06/03/04.



TIME 2

Time 1


Compare graphs in which the same data has been displayed using one-to-one and many-to-one correspondences, and explain how they are the same and different.
  • Find examples of graphs in print and electronic media, such as newspapers, magazines and the Internet, in which many-to-one correspondence is used; and describe the correspondence used
  • Create and label (with categories, title and legend) a pictograph to display a given set of data, using many-to-one correspondence, and justify the choice of correspondence used.
  • Create and label (with axes and title) a bar graph to display a given set of data, using many-to-one correspondence, and justify the choice of interval used.
  • Answer a given question, using a given graph in which data is displayed using many-to-one correspondence.
  • Identify an interval and correspondence for displaying a given set of data in a graph, and justify the choice.



Graphing
Data Management

OCTOBER/ NOVEMBER Outcomes:


Represent and describe whole numbers to 10 000, pictorially and symbolically.
Compare and order numbers to 10 000.
Demonstrate an understanding of addition of numbers with answers to 10 000 and their corresponding subtractions (limited to 3- and 4-digit numerals) by:
using personal strategies for adding and subtracting

estimating sums and differences

solving problems involving addition and subtraction.

Represent and describe decimals (tenths and hundredths), concretely, pictorially and symbolically.

Identify and describe patterns found in tables and charts.

Demonstrate an understanding of line symmetry by: • identifying symmetrical 2-D shapes • creating symmetrical 2-D shapes • drawing one or more lines of symmetry in a 2-D shape.

Construct and interpret pictographs and bar graphs involving many-to-one correspondence to draw conclusions.
Demonstrate an understanding of many-to-one correspondence.


Students are completing a data collection project for Waste in Our World in order to organize and analyze the results. We will be using their data to create and interpret graphs of their results. See Science for the project details.






Click on the below concept to learn more:
Decimals

Add and Subtract


Symmetry




Estimation

 Estimate sums and differences, using different strategies; e.g., front-end estimation and compensation.

Compensation Strategy is the same as Front-End Estimation, only you are 'compensating' for the amount that you took away when using front end, so you would need to add on an additional 1000 or 100 to compensate. Ex:

468 + 298 =
400 + 200 = 600 + 100 = 700










For the month of September we focused on Growth Mindset in Math, including how to work through a problem without giving up. We worked through several challenges using YOUCUBED, and their week of Inspirational Math. Students learned how math is used in everyday life and how to 'play' with math in order to learn how to have fun with math problems.

Students also learned how to multiply and divide by 10 to find the pattern in place value.




Math in the Workforce
















Number Fact Fluency Communicating with Parents
What is number fact fluency?
Number fact fluency refers to a student’s ability to think efficiently, accurately and flexibly towards mastery using numbers. A number fact is defined as addition and subtraction expressions up to 20 and multiplication and division expressions up to 100.
Why do we focus on number fact fluency?
Students with strong number sense are able to manipulate numbers and understand how to use various strategies to solve problems. Students develop their number fluency along a continuum of learning that starts with basic counting skills that leads to efficient strategies that may include recall. Recall is the ability to effortlessly know the answer as a result of developing strategies and number relationships (Lawson, 2016).
How do teachers assess number fact fluency?
It is important to gather a body of evidence about each student’s number fact fluency. A balanced body of evidence includes observations of process, collections of products and conversations (Davis, 2011). Evidence gathered might include the following:
Observations of students playing games or participating in number talks Math Running Records Assessment
Computation student work samples
Communicating number fact fluency with parents
Each student’s progress in mathematics learning needs to be evident to them, their teachers and their families. In order to communicate a students number fact fluency a document has been created called “My Child’s Path to Number Fact Fluency” which outlines the learning progression that students move through as they develop mastery using numbers. Once a teacher has gathered a body of evidence they can then indicate the student’s current understanding using the arrow. The intention of this document is to help parents understand their child’s learning as well as next steps in order to move them along the continuum. 
Calgary Board of Education March 2018