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.