Simplifying and Factoring Polynomials: Reasoning Lesson

1. Literacy at LHS Reasoning Lesson FALL 2018

2. 20181114,Wednesday’s Agenda, EQ’s, and Word Wall **Take out a full sheet of paper for today’s lesson and write your name on top!** Agenda EQ’s and Word Wall EQ #_11__: How are polynomials simplified and factored? Words of the Day: Bar Graph, Frequency Chart, Pie Chart, Histogram, Histogram Polygon 1. Bellwork- Numeracy Vocabulary 2. Bar Graphs, Line Graphs, Pie Charts 3. Reading and Annotation- “Pie Charts, Bar Graphs, Histograms, Line Graphs” 4. Review and Discussion of Article 5. Reasoning Activity- De Bono’s Hats 6. Exit Ticket

3. A Bellwork(Math 20181114) • On your paper, write the word “Bellwork.” • Underneath the word “Bellwork,” answer the following questions in COMPLETE SENTENCES: • Explain the information represented on graph A. • Explain the information represented on graph B. • How is the information on graph A connected to the information on graph B? • Explain how someone could use the information presented on these two graphs. B You have _5_ minutes to complete this task!

4. Key Term Review- Class Discussion 20181114 • Line Graph – Line graphs compare two variables. Each variable is plotted along an axis. A line graph has a vertical axis and a horizontal axis. So, for example, if you wanted to graph the height of a ball after you have thrown it you could put time along the horizontal, or x – axis, and height along the vertical, or y – axis. Often line graphs show how something changes over time. • Data Points – Each of these mark a key point on the line graph with an X and a Y value. • Lines (data path) – The lines connect the points and provides the estimate of the values between the data points. The lines can show trends, how things change over time, or even enable you to make predictions about the results of the data. • Pie Chart – Circle graphs, also called pie charts, are a type of graph used to represent a part to whole relationship. • Sectors – Each sector represents one part of the whole. The size of each sector represents its fraction of the whole. • Sector Labels - The label of each sector indicates the category of information it refers to, and may also give numeric data (often a percentage) so we know the size of each sector. • Bar Graph – A visual display used to compare the amounts or frequency of occurrence of different characteristics of data. This type of display allows us to compare groups of data and make generalizations about the data quickly. • Title – Gives an overview of the information being presented in the graph. Noted at the top of graph. • Axes and their labels – Each graph has two axes. The axes labels tell us what information is presented on each axis. One axis represents data groups; the other represents the amounts or frequency of data groups. • Bars – The bars are rectangular blocks that can have their base at either vertical axis or horizontal axis. Each bar represents the data for one of the data groups. • Grouped Data Axis - The grouped data axis is always at the base of the bars. This axis displays the type of data being graphed. • Frequency Data Axis – The frequency data axis has a scale that is a measure of the frequency or amounts of the different data groups. • Axes scale – Scale is the range of values being presented along the frequency axis. You have _2_ minutes to complete this task!

5. Four Steps for Using Graphs • WHAT – Read the title and determine WHAT the graph is describing. • DESCRIBE – Explain what the graph is telling, or attempting to tell the reader using actual EVIDENCE presented by the graph. DESCRIBE what is being measured and what measuring tool is being used. • LABEL – Identify the data points by LABELING THEM and then explain what these data points are telling you. • ANSWER THE QUESTIONS – Using active reading strategies to answer questions about the graph.

6. Step one: READING “Pie Charts, Bar Graphs, Histograms, Line Graphs” • Read silently on your own and ANNOTATE (use your paper to write your thoughts) while you read (approximately 8-10 minutes). • With a shoulder partner, discuss how the data presented in the bar graph, line graph, and pie chart are connected in the reading. • What type data does each graph present?

7. 4 Groups OF 4 and 2 Group of 3 • Pick 5 problems from the reading and complete • 10 minutes

8. STEP FOUR • Answer the following items/questions with a partners: • How can data be presented in a recognizable way without graphs? • Briefly explain from context: presenting parts to a whole data, qualitative data, discrete data, continuous data, and frequency charts. • Explain how the information/data presented in the three graphs helped to come up with your answers. • If you did not have access to the graphs provided, would you have come up with different answers? Why or why not?

9. EXIT TICKET • TRUE OR FALSE • Data that could be represented as percentages is displayed in a bar graph. • Discrete data that was qualitative is displayed on a circle graph. • Finally, continuous data that was grouped is graphed on a histogram or on a frequency polygon. • You also learned to detect characteristics of a distribution by simply observing the shape of a histogram.