Welcome to Our Class Integrated Math

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Presentation transcript:

Welcome to Our Class Integrated Math 8-7-2014 Daily Goals Today you will learn: Students will begin to interpret points and continuous graphs, understanding that a point conveys two pieces of information and that a continuous graph conveys trends. Students will also be given the opportunity to know the members of their study tams while interpreting the graphs. Class Work Homework Chapter 1.1.1 Pg 12 # 1-2, 1-3, 1-4 Chapter 1.1.1 Pg 6 #1-5, 1-6, 1-7

TEAMS Together, work to answer questions. Move on to the next question as a team. DO not leave anyone behind or work ahead. Your team is not finished until everyone is finished. Clear workspace before getting to work so you can see everyone’s paper. Explain and give reasons. Ask questions and share ideas. Helping does not mean giving answers; help by sharing your thinking, giving hints, and asking good questions. Keep your conversations centered on math. Member of your team are your first resource. Discuss questions and issues with your team before the teacher.

Team Roles Resource Manager Responsible for keeping your team working together. Get your team started by having someone read the task out loud. Check that everyone understands what to work on. Making sure that each member has shared his or her ideas. Make sure no one is getting left out or left behind. Make sure each person has time to write his or her answer before your team moves on.

Team Roles Facilitator Responsible for keeping your team working together. Get supplies for your team and make sure that your team cleans up. Helping your team decide when it needs outside help. Assist in creating team questions for the teacher. Call the teacher over for team questions.

Team Roles Recorder/Reporter Responsible for verifying that your team is writing justifications and explanations. Make sure that each team member can see that work your team is discussing. Make sure that your team agrees about how to explain and justify your answers, and that everyone understands your team’s answers. Make sure that each member of your team is able to share their ideas.

Team Roles Task Manager Responsible for facilitating an effective, participating team. Help keep your team on task, talking about math, and respecting each others right to learn. Keep track of time if you have been given a time limit and make sure your team is making progress at an appropriate pace. Make sure that no one talks outside your team.

Recorder/Reporter Task Manager Facilitator Resource Manager 1-2 Mathography Recorder/Reporter Task Manager Facilitator Resource Manager Suppose the graph at right represents something about the four students in your team. But what is the graph about? Decide what information the x- and y-axes could represent so that each point represents a different member of your team. Justify your statements.

1-3 Mathography Write a letter about yourself that will help your teacher get to know you as an individual.  Address each of the general topics below (in bold).  Choose a few of the suggested questions to get you started. About You: By what name do you like to be called?  What are your interests, talents, and hobbies?  What are you proud of?  With whom do you live?  What languages do you speak?  When is your birthday?  What are you like as a member of a team?  In what ways are you excited about working in a team?  In what ways are you nervous about it?  You as a Math Student: Describe your memories as a math student from kindergarten until now.  What experiences in math have you liked?  Why?  How do you feel about taking this math class?  Have you ever worked in a team in a math class before?  What kinds of math do you imagine yourself doing in this class?  

1-4 Diamond Problems 1-4. DIAMOND PROBLEMS Finding and using a pattern is an important problem-solving skill you will use in algebra.  The patterns in Diamond Problems will be used later in the course to solve other types of algebraic problems.  Look for a pattern in the first three diamonds below.  For the fourth diamond, explain how you could find the missing numbers (?) if you know the two numbers (#). Copy the Diamond Problems below onto your paper.  Then use the pattern you discovered to complete each one. 

Fractions to Decimals to Percents

Welcome to Our Class Integrated Math 1 8-8-2014 Daily Goals Today you will learn: how to extend a tile pattern and how to generalize the geometric description of the patterns. Class Work Homework Chapter 1.1.1 Pg 12 # 1-2, 1-3, 1-4 Chapter 1.1.1 Pg 27 1-12 to 1-16

Finding and Generalizing Patterns Often, mathematics is described as “the study of patterns.”  Today you will preview future work with patterns by studying two tile patterns and using them to make predictions. As you work on these patterns, consider the following questions: How do I see the pattern? How is it changing? Is there another way to find a solution?

Finding and Generalizing Patterns

Finding and Generalizing Patterns 1-9. GROWING, GROWING, GROWING, PART ONE Copy the tile pattern shown below onto graph paper. Draw the 1st, 5th, and 6th figures on your paper. How is the pattern changing? What would the 100th figure look like? How many tiles would it have? How can you justify your prediction?

Finding and Generalizing Patterns 1-10. GROWING, GROWING, GROWING,  PART TWO Examine this new tile pattern. Copy it onto your paper or explore using 1-10 Student eTool (CPM). Draw the 1st, 5th, and 6th figures on your paper.  Michael knows that one of the figures in this tile pattern has 79 tiles. What is its figure number? There are many ways to figure this out − be sure to listen to each person's ideas about how to find a solution. Be prepared to explain how you answered this question.

Finding and Generalizing Patterns 1-11. For the pattern that your teacher assigns to you, from either problem 1‑9 or problem 1‑10, prepare a team presentation or poster with your description of the pattern and your prediction.  Every team paper or poster should include: Clear drawings of figures from your pattern. An explanation of the pattern you found. Your prediction. (Make sure your reasoning is clear!)