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AIM: How can we solve problems by modeling them with equations? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2. Please begin your preparations now. HW: Expressions and Equations wksht (found below) Do Now: Ms. Garland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on the purchase. Write and solve an equation to find the number of shirts Ms. Garland bought. Classwork: Students worked on equation and expression situations individually for an extended period of time. After the designated period, they compared their methods and results with their partner. Excellent discussions were had. We discussed key points of interest and disagreement as a class and shared correct responses. Resources 
AIM: How can we solve problems with percent increase or decrease? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2. Please begin your preparations now. HW: Percent Increase/Decrease HW (found below) Do Now: Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette's ticket was less than the original price by what percent? Classwork: Students continued working with percent situations. They expressed percent increase and decrease problems with percent equations. Students identified, matched, and wrote equations for a variety of real-world contexts. Resources
AIM: How can we use percent to describe increases or decreases? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2. Please begin your preparations now. HW: Percent Increase/Decrease wksht 2 HW (found below) Do Now: What do you notice? What do you wonder? Classwork: We use double number lines to solve problems with percent increase and decrease. Students used additional methods from previous lessons to connect to the visual representation. Resources
AIM: How can we use percent to describe increases or decreases? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2. Please begin your preparations now. HW: Percent Increase/Decrease HW (found below) Do Now: Here are the scores from 3 different sports teams from their last 2 games. {table with sports points} 1. What do you notice about the teams’ scores? What do you wonder? 2. Which team improved the most? Explain your reasoning. Classwork: Imagine that it takes Andre 3/4 more than the time it takes Jada to get to school. Then we know that Andre's time is 1 3/4 or 1.75 times Jada's time. We can also describe this in terms of percentages: We say that Andre's time is 75% more than Jada's time. We can also see that Andre's time is 175% of Jada's time. In general, the terms percent increase and percent decrease describe an increase or decrease in a quantity as a percentage of the starting amount. Resources
AIM: How can we involve problems involving scale drawings? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2. Please begin your preparations now. HW: Scale Drawing Homework (found below) Do Now: The circumference of a circle is 25 (pi) feet. What is the area, in square feet, of the circle? Leave your answer in terms of (pi) . Classwork: Students used their knowledge of scale drawing to compute the speed a driver went over a period of time on a highway. They used this computation to determine if the driver was obeying traffic speed laws. Resources
AIM: How can we involve problems involving scale drawings? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2 Please begin your preparations now. HW: Scale Drawing Homework (found below) Do Now: [pictures drawn to scale] [picture NOT drawn to scale] Explain what you think scale drawing is. Classwork: Scale drawings are two-dimensional representations of actual objects or places. Floor plans and maps are some examples of scale drawings. On a scale drawing: Every part corresponds to something in the actual object. Lengths on the drawing are enlarged or reduced by the same scale factor. A scale tells us how actual measurements are represented on the drawing. For example, if a map has a scale of “1 inch to 5 miles” then a 1/2-inch line segment on that map would represent an actual distance of 2.5 miles Sometimes the scale is shown as a segment on the drawing itself. Because a scale drawing is two-dimensional, some aspects of the three-dimensional object are not represented. For example, this scale drawing of a stop sign does not show the thickness of the stop sign. A scale drawing may not show every detail of the actual object; however, the features that are shown correspond to the actual object and follow the specified scale. Resources
AIM: How can we decide whether a situation about a circle requires area or circumference? Announcements: The NYS Math Assessment for 7th Grade will be May 1-2. Please begin your preparations now. HW: Area & Circumference wksht (found below) Do Now: About how many cheese puffs can fit on the plate in a single layer? Be prepared to explain your reasoning. Classwork: Students were presented with a variety of circle situations. They sorted cards into categories of "area" or "circumference" problems. From there, partnerships were randomly assigned a problem in which they estimated values to base their circle calculations on. We finished the lesson with an activity that allowed students to critique the responses made by two students on three mock problems. Good mathematical discussion ensued. Resources
AIM: How can we find the area of a circle? Announcements: The NYS Math Assessment for 7th Grade will be May 4-6. Please begin your preparations now. HW: Circle Area Worksheet (found below) Do Now: A circle has a radius of 26 units. Find the circumference of the circle, to the nearest unit. Classwork: Finding the area of a circle requires us to use the formula A=(pi)r^2. Remember to follow the order of operations and square the radius first before multiplying that amount by pi. Again, sometimes you'll be given the diameter, in which case you need to divide it in half to get the radius value which is substituted into the formula. From yesterday: We investigated the world of circles today. A circle is a round 2D figure whose points are the same distance from a center point. Circles also have diameters, which are segments that pass through the center and connect one side to the other. A radius is half the length of the diameter. It is a segment from the center to any point on the circle. Since circles are special figures, they also have a special name for their perimeter, which is a circumference. This can be calculated by taking the diameter and multiplying it by pi (C=pi*d). It's important to remember that if you're given the circle's radius, you need to double it first to get the diameter. Resources
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AuthorMr. Severiano Archives
June 2018
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