Math Homework- for Monday February 10th

For each of the following word problems, write an algebraic expression that represents the problem. Choose THREE of them to solve completely.

1. You are selling drinks at the school dance. You have a cooler, which holds 35 cups. The canteen gets busy and you lose track of how many cups you sold. You check and see that there are 17 cups left in the cooler. How many drinks must you have sold?
   
2. You are visiting a friend and their dog gets loose. You chase the dog to try and catch it. You chase it 2 blocks east; it turns and goes 5 blocks west, then 8 blocks east, then another 2 blocks east, 7 blocks west and 1 block east before you finally catch the dog. Use positive numbers to represent east blocks, and negative numbers to represent west blocks. How far are you from your friend’s house when you catch the dog?
   
3. You buy tickets to a concert for you and your friends. You buy ten tickets at $12 each. Some of your friends pay you back. You are still owed $36 in the end. How many of your friends paid you back?
   
4. Your school is having an open house. They decide to make bumper stickers with the school logo. The school budgeted $220 for the stickers. It costs $40 to make the design and another $2 for each sticker. How many stickers can the school buy?
   
5. You go grocery shopping for fruit and spend $24. If you spent an equal amount on apples, bananas, oranges, kiwis, strawberries and pears, how much money did you spend on each type of fruit? 
   

New Unit: Algebra!!!

Hello all,

Next week we will be moving onto our Patterning and Algebra unit and will be learning the following expectations:

• evaluate algebraic expressions with up to three terms, by substituting fractions, decimals, and integers for the variables 
• solve and verify linear equations involving a one-variable term and having solutions that are integers, by using inspection, guess and check, and a “balance” model 
• describe different ways in which algebra can be used in real-life situations 
• translate statements describing mathematical relationships into algebraic expressions and equations (e.g., for a collection of triangles, the total number of sides is equal to three times the number of triangles or s = 3n) 
• represent, through investigation with concrete materials, the general term of a linear pattern, using one or more algebraic expressions 
• represent linear patterns graphically 
• determine a term, given its term number, in a linear pattern that is represented by a graph or an algebraic equation 
• model linear relationships using tables of values, graphs, and equations  

Links to help you with angles

http://www.mathsisfun.com/geometry/supplementary-angles.html

http://www.mathopenref.com/anglesupplementary.html

http://www.aaamath.com/geo-comp-or-sup.htm

http://www.xpmath.com/forums/arcade.php?do=play&gameid=104

http://www.mathsisfun.com/geometry/alternate-interior-angles.html

http://www.mangahigh.com/en/maths_games/shape/angles/corresponding_angles

http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/triangles_shoot.htm

http://www.aaamath.com/geo612x5.htm

http://www.math-play.com/Pythagorean-Theorem-Game.html

http://www.math-play.com/Pythagorean-Theorem-Jeopardy/Pythagorean-Theorem-Jeopardy.html

Hope that helps you study for the quiz this week!

Mme

Measurement and Geometry combined unit: the wonderful world of CIRCLES!!!!

Hello all,

Your child and I will be exploring circles in the month of January. It is suggested that students bring in their own calculator with the pi function built in as well as a compass for drawing circles.  The curriculum expectations explored will be as follows:

Measurement

measure the circumference, radius, and diameter of circular objects, using concrete materials

determine, through investigation using a variety of tools (e.g., cans and string, dynamic geometry software) and strategies, the relationships for calculating the circumference and the area of a circle, and generalize to develop the formulas 

solve problems involving the estimation and calculation of the circumference and the area of a circle;

Geometry

• construct a circle, given its centre and radius, or its centre and a point on the circle, or three points on the circle;
• investigate and describe applications of geometric properties (e.g., properties of circles) in the real world.

Math homework on types of data

Data Management Unit

In our new unit of Data management, we will be reviewing the differences between a sample and census as well as interpreting data which is biased or reliable.

Curriculum elements that we will be learning:

collect data by conducting a survey with themselves,their environment, issues in their school or community, or content from another subject, and record observations or measurements;

organize into intervals a set of data that is spread over a broad range 

collect and organize categorical, discrete, or continuous primary data and secondary data and display the data in charts, tables, and graphs that have appropriate titles, labels and scales

select and appropriate type of graph to represent a set of data

explain the relationship between a census, a representative sample, sample size, and a population

read, interpret, and draw conclusions from primary data and secondary data

determine, through investigation, the appropriate measure of central tendency (i.e., mean, median, or mode) needed to compare sets of data

demonstrate and understanding of the appropriate uses of bar graphs and histograms by comparing their characteristics

compare two attributes or characteristics by using a scatter plot and determine whether or not the scatter plot suggests a relationship

identify and describe trends, based on the rate of change of data from tables and graphs, using informal language

compare two attributes or characteristics, using a variety of data management tools and strategies

When to use the different graphs

New unit on Rates and Ratios

Our new unit on Rates and Ratios will commence on Friday November 1st with an Inquiry based question for students to work in groups to review what are ratios and rates.

Rate: is a comparison of two quantities measured in different units.
Ratio: is a comparison of two quantities measured in the same unit.

Vocabulary to know in this unit:
Equivalent ratios
Unit rate
Proportion
part-to-part ratio
part-to-whole ratio

Curriculum expectations covered in this unit from the Numeracy and Number Sense strand:

1. Identify and describe real life situations involving two quantities that are directly proportional (eg. the number of servings and the quantities in a recipe)
2. Solve problems involving proportions, using concrete materials, drawings and variables
3. Solve problems involving rates (eg. A pack of 24 cds costs $7.99, a pack of 50 cds costs $10.45. What is the most economical way to purchase 130 CDs?)