Thursday, May 18, 2017

New Unit- Moving Straight Ahead

The primary goal of this Unit is for students to develop an understanding of linear relationships. Students recognize linear relationships by the constant rate of change between two variables in a contextual situation, a table, a graph, or an equation.

Monday, April 10, 2017

Math Team Challenge 4/10/17

Math Team Challenge
4/10/17

Hi All. So, I have to admit that I may have got a little excited with the Pi Day Challenge. It was maybe a little bit of hard. A big congratulations to Elena Miller - the only person to solve!
Inline image 1
This challenge should be a little more manageable. Winner get to choose a prize from the prize bin. There's some Laffy Taffy looking for a good home, but you have to solve- don't forget to show your work!

Answer Me These Questions Three...

1. Classic Riddle: You have in front of you a standard balance scale. What is the fewest number of weights that you would need to be able to accurately weigh any object that weighs between one and one hundred pounds?

2. The digits in the number, 42, add to six. There are exactly six 2-digit numbers with this property: 15, 24, 33, 42, 51, and 60. There are twenty 3-digit numbers for which the sum of the digits is six. Can you name them all?

3. Logic Puzzle! At the recent Bradbury Mountain downhill mountain bike race, four entrants entered the challenging slalom event.
Alan came first.
  • The entrant wearing number 2 wore red, whereas John didn't wear yellow.
  • The loser wore blue and Steve wore number 1.
  • Kev beat Steve and the person who came second wore number 3.
  • The entrant in yellow beat the entrant in green.
  • Only one of the entrants wore the same number as their final position.
Can you determine who finished where, the number and color they wore?

Email me (don't reply all!) or come see me in Room 207 with your work to claim your prize.

Calc-u-later!
Mr. Harrington

Thursday, March 30, 2017

Thursday, March 16, 2017

Comparing and Scaling Unit Project - Paper Pool

Paper Pool Project- Click here to access.

Online Paper Pool Interactive site

Paper Pool Table- Click to Access

New Unit - Comparing and Scaling

Welcome to our new unit focusing on ratios, rates, percents and proportions.

Investigation 1: Ways of Comparing: Ratios and Proportions
Investigation 1 focuses on different strategies for comparing quantities—using ratios, fractions, percents. Students learn what different types of comparative statements say about data given. They are asked to write comparative statements using ratios and differences that describe data. 


We have completed Investigation 1.1 -1.2 in the new Comparing and Scaling Book.
We focused on the ability to make comparisons of quantitative data. 
We focused on making comparisons through:
1. ratios
2. differences
3. percents
4. simplified ratios

Further we stressed the importance of making comparisons between part-to-part or part-to-whole. 

Friday, March 3, 2017

Study Guide for Stretching and Shrinking


Study Guide for Stretching & Shrinking Unit Test
Assessment will be on Thursday March 9th


Essential Learnings:
  • Apply coordinate rules to stretch or shrink shapes and then plot them.
  • Understand ways that stretching or shrinking a figure affects lengths, angle measures, perimeter and area.


Specific Skills:
  • Draw shapes on coordinate grids and use coordinate rules to stretch (x, y), shrink and move the shapes.
  • Determine the way that stretching and shrinking a figure affects lengths, angle measures, perimeters, and areas.
  • Identify similar polygons and use scale factor and side length ratios to prove similarity between polygons.
  • Calculate scale factor of two similar shapes and find measures of angles in similar polygons.
  • Apply relationship of scale factor to perimeter and area.
  • Use the properties of similarity to find distances and heights that you can’t measure.
  • Use specific vocabulary appropriately, use the terms we have learned and discussed in class - specific vocabulary is posted in the classrooms as well as on the Math Blog.


Material to Review:
  1. Review and redo problems from the unit Check-ins, Checks for Understanding, warm up problems, in-class practice sheets.
  2. Problems from the text: Problem 2.2 (pages 30 & 31), page 32 the definition of similar (the two bullet points under the bold word), Problem 2.3 (pages 34 & 35), Problem 3.1 (page 52), Problem 41. B (page 83), Problem 4.2 (page 84), Problem 4.4 D (page 89).  
  3. Unit Review in your book (pgs. 108-110) specifically #s 2, 3, 4, 5 & 6.


The Reflection on page 104 #1 a,b; 2a,b and 3 is helpful to clarify your understanding.

Looking Back on p. 108-110
# 1a-f, 2 a,b and 5.

Tuesday, January 3, 2017

Stretching and Shrinking Unit - Introduction

Common Core Standards for this Unit:
  • 7.RP.A.2 Recognize and represent proportional relationships between quantities.
  • 7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
  • 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems.
Goals for this Unit:
  • Similar Figures Understand what it means for figures to be similar.
- Identify similar figures by comparing corresponding sides and angles
- Use scale factors and ratios to describe relationships among the side lengths, perimeters, and areas of similar figures          
- Use algebraic rules to produce similar figures
- Recognize when a rule shrinks or enlarges a figure
  • Reasoning With Similar Figures Develop strategies for using similar figures to solve problems
- Predict the ways that stretching or shrinking a figure will affect side lengths, angle measures, perimeters, and areas
- Use scale factors or ratios to find missing side lengths in a pair of similar figures
- Use similarity to solve real-world problems