CPM Course 1 Curriculum Guide Teaching Tips: ● FOCUS on the CORE PROBLEMS in EVERY LESSON. ● Practice Team Roles frequently, use the discussion guide cards to help students with their roles. ● Use GRR (Gradual Release of Responsibility: I do, we do, you do) at the beginning of the year to help students access curriculum. The first problem in each section is a good one to guide your students through before group work. ● It is important to read the lesson ahead of time and watch the videos in the ‘Teacher Notes’ tab on your online edition to understand common mistakes and the learning objectives of each lesson. ● Review the ‘Teacher Notes’ in the ‘Opening’ section in the online edition before every chapter. It gives a great overview of the chapter’s essential learnings, materials needed, and suggested days for each lesson. ● Preview the problems ahead of time to be prepared to ask thoughtful questions and keep the students on task. ● Assign homework (Review and Preview) for the lessons and direct students to the cpm homework help for support (online 24/7). ● Its a good idea to create a homework key (with work shown) and pass out to your students to review at the beginning of each day. ● CCSS standards identified below are by Chapter, not by specific lesson. The ‘Teacher Notes’ tab for each lesson has the standard specific to the lesson. ● Use the student toolkit to enter notes and learning log entries for the curriculum. Use your Constructing Meaning sentence frames to help students with their learning log entries. ● Lessons in BOLD below are essential lessons in the Chapters. You can make amendments and substitute other lessons provided you cover the standards outlined. However, there are key CPM strategies essential to fundamental concepts: the Giant One, generic rectangles, line diagrams, diamond problems, 5D process, number webs and Algebra Tiles that should be mastered. ● Integrate MARS Tasks or other multi-step complex problems throughout instruction to expose students to performance type inquiries. Some suggested tasks are:-----, extend the pattern problems and Problems of the Month. ● Use the Checkpoint Quizzes and Problems to assess mastery of content as the curriculum spirals throughout the year. BOLD indicates critical lesson * indicates optional lesson Section Lesson Dates Notes Extensions/Supports 6.G.1, 6.SP.4 CC1 1.1 1.1.1 1.1.2 1.1.3 1.1.4 1.1.5 8/28 through 9/16 (12 days) 6.NS.4, 6.EE.1 CC1 1.2 1.2.1 1.2.2 1.2.3 1.2.4 Section 1 is an introduction to the course that provides great teamwork lessons that are a preview of standards for the year. Use them to practice the team roles and get a sense of the program. You may skip 1.1.5 In Section 2 students will decompose quantities into sums of multiple parts and represent them with words, symbols, and diagrams. Use the closure activities to help review. The Section Closures are usually an interactive activity to review a key concept. Students are not expected to show mastery of concepts, but you may use their skills to scaffold future lessons in reasoning, data analysis, and displays of data. Materials needed: small sticky notes, poster paper, markers, sticky dots, square tiles, toothpicks, two pounds read and white beans, two wide mouth jars, small scoop, small paper cups, pennies, ziplock baggies, and colored pencils. Chapter Closure 9/17-9/18 The three Chapter Closure activities may vary by level of difficulty. There are three Chapter Closure activities. It is not recommended that you do all of them. Chapter Assessment 9/18 CHAPTER 2 6.SP4 CC1 2.1 2.1.1 2.1.2 9/21 through 10/5 (11 days) Section 1: Students will learn several ways to represent data and make justified statements about how accurately class was able to determine length of 1 minute without a clock. If students have difficulty visualizing shapes, see “Universal Access” in Teacher’s Edition for suggested strategies. Mathematical vocabulary is at the end of the chapter in your binder. Provide sentence starters for the Learning Log. 6.G.1 CC1 2.2 2.2.1 2.2.2 2.2.3 Section 2: Students will measure area using different units, learn about perimeter and its relationship to area, and why standard units are useful. Materials needed for the lesson are found in the Resource Pages of the teacher’s binder. Be sure to prepare these IN ADVANCE.. 6.EE.3, 6.NS.4 CC1 2.3 2.3.1 2.3.2 2.3.3 2.3.4 Students use rectangles to multiply. Concepts include Greatest Common Factor and Distributive Property. Prepare materials in advance. Base 10 Blocks are online at CPM. Posting multiplication table on the wall may be helpful to some students. Helpful to deconstruct the term “GCF”. IReady Diagnostic Due date 9/25 Chapter Closure 10/6-7 Determine which activity is best for your students. Chapter Assessment 10/8-9 It is strongly recommended The window opens 2 weeks prior and students have 7 days to complete. that more than half of each individual test be composed of material from previous chapters. Students are not expected to reach mastery too quickly. CHAPTER 3 6.RP.3c, 6.NS.3c, 6.RP.1 CC1 3.1 3.1.1 3.1.2 3.1.3 3.1.4 3.1.5 3.1.6 6.NS.5, 6, 6a, 6.NS.4, 6.NS.6c, 6.NS.7a, 6.NS.7b, 6.NS.7d., 6.NS.7c, 6.NS, 6b, 6.NS.8, 6.G.3 CC1 3.2 3.2.1 3.2.2 3.2.3 3.2.4 10/12 10/28 (13 days) Chapter Closure 10/29 - 11/2 Chapter Assessment 11/3-4 This section begins with percents, decimals, and percents and explores equivalent representations of portions. Focuses on number line, absolute value, and finding length of line segments on a coordinate graph. Vocabulary for the chapter is found at the end of Chapter Closure in Teacher’s Edition. Team tests cover more challenging materials and ideas than in individual tests. Length of activities will vary. Using variables is a focus but is intended to be an informal introduction. You can use toothpicks or straws for unknown lengths. CHAPTER 4 6.EE 2a,2c,4,6 CC 1 4.1 4.1.1 4.1.2 4.1.3 11/5 - 11/29 (10 days of instruction) 6.RP 1 CC 1 4.2 4.2.1 4.2.2 4.2.3 4.2.4 Section 1: This is an introduction to variables. Students return to this in Chapters 6 and 7. Students will write and learn about equivalent expressions. They will work in teams to find strategies for representing and finding unknown lengths. See the Mathematical Vocabulary at the end of the chapter in the teacher’s binder Check the Resource Page for materials needed. Section 2: Students will enlarge and reduce figures while maintaining their shapes and how to use ratios to describe relationships between shapes of different sizes. Prepare materials IN ADVANCE. You may want to include a Constructing Meaning strategy for clarifying the terms variable and expression. You might give a Participation Test. Use Learning Log prompts. Chapter Closure 11/20 Chapter Assessment 11/23 CPM Benchmark 11/24 Individual and/or team tests CHAPTER 5 Prep for 6.NS1 in section 6.6.1 CC 1 5.1 5.1.1 5.1.2 5.1.3 5.1.4 11/30 through 12/16 (13 days) Multiplication of fractions, decimals, and mixed numbers. Use area models to solve multiplication problems. Develop and apply a standard algorithm. 6.RP 3, NS3, prep for 6.NS.1 CC 1 5.2 5.2.1 5.2.2 Multiply fractions, decimals and percents. Assess reasonableness of answers. 6.G.1 CC 1 5.3 5.3.1 5.3.2 5.3.3 5.3.4 Formulas for finding the area of parallelograms, triangles and trapezoids are developed. Students decompose shapes. Chapter Closure 12/17 through 12/18 Mid-Course Closure Use the dynamic tool. Area Decomposer and Trapezoid Decopomposer at www.cpm.org/technology Opportunity for both Chapter Course and MidCourse reflection. Note vocabulary at the end of the chapter. Provides closure for Chapters 1-5. Two activities that require students to connect skills and ideas from different strands of the course. CHAPTER 6 6.NS1,2 CC1 6.1 6.1.1 6.1.2 6.1.3 6.1.4 1/4 through 1/27 Section 1: Students will begin looking at integer division using diagrams and other strategies to divide something equally among different numbers of groups. They will divide fractions and mixed numbers and use knowledge of division to solve problems. Algebra Tiles will be needed for the activities in this chapter. You may want to introduce their use. Students can use paper tiles at home. See template in Resources Pages See the strategy Circling the Terms in Teacher’s Binder. See the Resource Materials at the end of the Teacher’s Edition binder. Note new vocabulary. 6.EE 1, 2b,2c, 3, 4, 6 CC1 6.2 6.2.1 6.2.2 6.2.3 6.2.4 6.2.5 Chapter Closure 1/28 Chapter Assessment 1/29 Section 2: Using algebra tiles, students use knowledge of area and perimeter to develop skills of building expressions and combining like terms. They will simplify and evaluate expressions for given values. Note Core Problems. Section 1: Compare ratios and rates using different representations such as numbers, tables, and graphs. Rewrite ratios so they can be compared more easily. Colored pencils or markers will be needed. Section 2: Extend understanding of division with fractions to include mixed numbers and decimals and develop efficient methods for doing so. Moving from diagrams and reasoning to algorithms. A calculator is not necessary. If you use the Dynamic Tool for 6.2.5, make sure the technology is working. Use it for a demonstration. Once students learn how to use the physical tiles they can move to the digital version. CHAPTER 7 6.RP2, 3a, 3b CC 1 7.1 6. NS 1, 3 CC 1 7.2 7.1.1 7.1.2 7.1.3 7.2.1 7.2.2 7.2.3 7.2.4 2/1 through 2/26 (15 days) 6.EE 2a, 5,6,7,8 CC 1 7.3 7.3.1 7.3.2 7.3.3 7.3.4 Section 3: Use symbolic manipulation skills, such as simplifying, combining like terms, distributive multiplication across addition, and making zeros as you play math tricks. IR Benchmark Due by 2/5 Chapter Closure #2 2/29 - 3/1 CPM Benchmark 3/2 Class set of Algebra tiles needed. Students transition from visual representations to writing algebraic expressions. Two week window. Students have 7 days to complete. CHAPTER 8 CC 1 8.1 8.1.1 8.1.2 8.1.3 8.1.4 8.1.5 3/3 - 3/22 (14 days of instruction) Section 1: Introduces box plot to represent data, learn which representation and which measure of central tendency best help you compare sets of data. Look at the spread and shape of the data. Be sure to review the Dynamic Tool before the lesson 8.1.2. You will need the internet and projector. CC 1 8.2 8.2.1 Section 2: investigate statistical questions and how to write them. CC 1 8.3.1 Section 3: Use relationship between Students need to continue to attend to precision. Number line is needed that can be extended. Lots of new vocabulary introduced with the use of personal dictionaries. Problem 8-6 is a challenge and may not be appropriate for all students. You will need sticky dots for 8.1.1. Remember to use sentence starters. 8.3 8.3.2 8.3.3 distance, rate, and time to solve word problems. Compare rates using different units and determine the rate conversion that is necessary. IR Progress Monitoring Due 3/18 Chapter Closure 3/23 - 3/24 Chapter Assessment 3/24 CHAPTER 9 6.G 2,4 CC1 9.1 9.1.1 9.1.2 6.RP3c CC 1 9.2 9.2.1 9.2.2 9.2.3 9.2.4 Chapter Closure 4/5 through 4/29 Section 1: Students will earn about volume and surface area, develop strategies for finding volume and surface area of prisms by building 3-D rectangular prisms. Visualize shapes using nets. Section 2: Calculate percents to solve problems involving tips, interest, sale prices, and discounts. Work with teams to solve challenging problems using what has been learned throughout the course. Reflect on your learning and how you have been thinking as you solved problems throughout the year. Need about 30 small cubes per pair of students. Small empty cardboard box (tissue or cereal box) cut apart and then taped back together. Scissors, rulers, small cubes, colored pencils.