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Math

Follow along with our math projects and Math Forum work.

Day01

Jumping Off

 The goal of the summer math program is to enhance student's abilities to communicate their mathmatical thinking in an organized, consice, and meaningful manner.  To begin they will complete a pretest that will assess their current problem solving and mathmatical communication abilities.

 

Day02

Protocol

Students will be introduced to the math solving protocol they will be using, in small groups, to solve Math Forum problems as taken from Drexel Universtiy. They will present their method and soluion to the class.

 

Day03

Fun and Games

Students completed another Math Forum problem today and played a math game called Spoons.  This game reinforced the students knowledge of decimal, fractions, and percents.

 

Day04

Popcorn Cylinders

Students started an activity which involves the volume of two different sized cylinders.  They will discover how changes in the dimensions of a cylinder affects the volume of a cylinder.  This activity also incorporates one of the students favorite things, popcorn.

 

Day05

Popcorn Cylinders- Still Poppin'

Students finished the Popcorn Cylinder Activity and discovered why changing the radius of a cylinder has more of an affect on volume than changing the height.  They wrote their conclusions as to why this is the case in their ePorfolios.

Day06

Wood for Thought 

We continued to explore volume with a problem called Stacking Wood with a revised protocol.  Students were asked to find out how many cords of firewood would fit in a wood shed.  The problem was extended by asking how many stacked rows of wood a whole cord would make.

Day07

Surface Area 

Students are solving a problem involving surface area.  Given two possible ways to cut a piece of wood, they are to mathematically explain which way creates a piece of firewood with the most surface area.

Day08

Thought dump

Students worked together to solve a problem called Burying Garbage.  This problem involves the volume of a rectangular prism, the garbage dump, and how many days until it is filled by the city. Groups were encouraged to find their own solutions through discussion and collaboration.

Day09

Day10

Day11

Building the dream

Students started the Our New House project today.  

Students will:

  • design a house based on cost and admenities chosen

  • complete a Contractor Order Form within budget constraints

  • draw a scale model of their house plans

  • draw a scale model of their yard and landscape plans w/zoning code regulations

  • write and design an advertisement to sell their house

  • calculate the selling price of their house

Building continued

Continuing with the Our New House Project, students have decided their lot size and house size and budgeted for their admenities.  Their next step is to draw a house and landscape plan which they will post in their ePortfolios.

Dream House Complete

We are finishing the Our House Project today by creating a real estate advertisement putting our house up for sale.  Students will post this advertisement in their ePortfolios along with the picture of their house plan..

Day12

A Gift for Grandma

Grandmother Brown recieved a gift from her children.  Students will discover the price of the gift given what fraction or percent of the gift each child paid.  They will need to use their understanding of fractions and percents as well as operations involving fractions and percents to solve this problem.

Day13

Box Problem

Today's problem involves surface area and volume of rectagular prisms. Students will be figuring out the dimensions and maximum volume of the largest box that can be wrapped with a 20 x 20 cm piece of wrapping paper.  This problem can be solved using several different strategies.

Day14

Station Activities

Students worked together in groups to complete four stations.  Each station was an activity which provided students the opportuity to develop concepts and skills related to analyzing and describing relationships. They used mathematical models to solve contextualized problems using graphs, tables, and equations.

Day15

A trip to the store

Using tables and charts and given the cost and weight of each item, students had to determine how many of each of two items could be purchased for a party, given two conditions.  The total cost of the items could not exceed $40.00 and the total weight could not be more than 30 pounds.

Day16

Missing Mints and Bouncing Ball

Similar to Grandma Browns Dishwasher problem, students are told what fraction of some mints were consumed by four people.  They have to figure out how many total mints there were to begin with.  

Students also solved another problem in which they are told a ball bounces exactly half the height from which it is dropped. They are to figure out how far the ball will have traveled by the time it strikes the ground for the fifth time if dropped from a height of 128 feet

Day17

Walking the Indy 500

From Martin and Guengerich's The Math of Sports, students will be working in groups of four to estimate how long it would take to walk the distance traveled in the Indy 500 race. Each group will calculate their average time to walk 100 feet and convert this to mile per hour to make their estimate.

Day18

Jewlery Box

Given the volume of a jewelry box, students have to figure out the possible dimensions of a smaller jewelry box that has one eigth the volume of the larger one.  They will finish today by playing a math game.

© 2013 Tracy Nathan

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