College Preparatory Math
Information about CPM: http://www.cpm.org
Research & Studies: www.cpm.org/teachers/research
Parent Guide: http://www.cpm.org/parents/resources.htm
The Parent Guides discuss the main ideas of each unit, offer additional examples, and solve key problems in detail. Each book also contains hundreds of additional practice problems (with answers).
Homework Help: http://homework.cpm.org
Online help for the homework portion of each lesson. The help is tutorial in nature so that students can learn how to use the mathematics necessary to solve the problems. There are hints and most answers to the Review/Preview sections of our courses.
eTools: http://www.cpm.org/students/technology
CPM offers many technology tools that enhance your student's lessons and help them develop a deeper understanding of mathematics.
Information about CPM: http://www.cpm.org
Research & Studies: www.cpm.org/teachers/research
Parent Guide: http://www.cpm.org/parents/resources.htm
The Parent Guides discuss the main ideas of each unit, offer additional examples, and solve key problems in detail. Each book also contains hundreds of additional practice problems (with answers).
Homework Help: http://homework.cpm.org
Online help for the homework portion of each lesson. The help is tutorial in nature so that students can learn how to use the mathematics necessary to solve the problems. There are hints and most answers to the Review/Preview sections of our courses.
eTools: http://www.cpm.org/students/technology
CPM offers many technology tools that enhance your student's lessons and help them develop a deeper understanding of mathematics.
Common Core Math: Course 3
Course Schedule
2014-2015
Course Text: Core Connections, Course 3 College Preparatory Math, publisher
Patterns & Proportions (ch 1) Aug – Sept.
Students interpret graphs, collect data, use a trend line to make predictions, plot points and linear equations, find and generalize patterns in varied contexts. In Section 1.2, students are expected to use their previous understanding to develop algorithms that will help them solve proportional situations. The goal of this section is to have students use logic and intuition to build proportional reasoning in multiple representations.
Working with Variables (ch 2) Sept.
Students develop a strong foundation for simplifying expressions and solving equations algebraically.
Graphs & Equations (ch 3) Oct.
Students graph lines and parabolas from a table and will write their equation. They will continue to develop their equation-solving strategies and their understanding of what it means for an equation to have no solution or a solution of “all real numbers.”
Multiple Representations (ch 4) Nov.
Students find connections between the four representations: graphs, tables, patterns, and equations. They will use the connections between graphs, tables, patterns, and rules to solve almost any problem involving lines. They begin a focus on writing equations from word problems, which is continued in Chapter 5.
Systems of Equations (ch 5) Dec.
Students will solve equations with multiple variables for one of the variables, creating an equivalent equation. They will also learn efficient ways to solve equations with fractions or decimals. Both these methods will enable them to solve systems of equations algebraically. Students are introduced to solving systems of equations where both equations are in y = mx + b form.
Transformations & Similarity (ch 6) Jan.
Students will use rigid transformations: translation, rotation, and reflection. While students solve puzzles, they predict the result of each of the transformations. The focus on naming points using coordinates is important as students examine how the coordinates change as shapes are translated about the plane. Students investigate characteristics of similar and congruent shapes.
Slope & Association (ch 7) Jan.
This chapter builds on the single variable data displays from previous coursework and the coordinate graphing skills students began developing in Chapter 3. Different types of associations are introduced, and students learn how to place a trend line and use it to make predictions. Students will write linear equations using multiple strategies and apply this knowledge in a variety of contexts with the help of graphing technology.
Exponents & Functions (ch 8) Feb.
Students compare linear and exponential growth. Students will simplify and rewrite expressions with exponents from these situations. Students will be introduced to the concept of a function and describe the graphs of functions and non-functions. Angles & the Pythagorean Theorem (ch 9) March Students build several core geometry concepts related to parallel lines and triangles, and revisit similarity in the context of triangles. The relationships between the side lengths and angles of individual triangles is a focus in this chapter. Using the Pythagorean Theorem and square root operations requires students to work with irrational numbers.
Surface Area & Volume (ch 10) April
Students develop strategies to find the surface area and volume of several non-rectangular based prisms, beginning with cylinders. They find the volumes of cones, pyramids and spheres by comparing cylinders and cones with equal heights and congruent bases, as well as prisms and pyramids with equal heights and congruent bases.
Course Schedule
2014-2015
Course Text: Core Connections, Course 3 College Preparatory Math, publisher
Patterns & Proportions (ch 1) Aug – Sept.
Students interpret graphs, collect data, use a trend line to make predictions, plot points and linear equations, find and generalize patterns in varied contexts. In Section 1.2, students are expected to use their previous understanding to develop algorithms that will help them solve proportional situations. The goal of this section is to have students use logic and intuition to build proportional reasoning in multiple representations.
Working with Variables (ch 2) Sept.
Students develop a strong foundation for simplifying expressions and solving equations algebraically.
Graphs & Equations (ch 3) Oct.
Students graph lines and parabolas from a table and will write their equation. They will continue to develop their equation-solving strategies and their understanding of what it means for an equation to have no solution or a solution of “all real numbers.”
Multiple Representations (ch 4) Nov.
Students find connections between the four representations: graphs, tables, patterns, and equations. They will use the connections between graphs, tables, patterns, and rules to solve almost any problem involving lines. They begin a focus on writing equations from word problems, which is continued in Chapter 5.
Systems of Equations (ch 5) Dec.
Students will solve equations with multiple variables for one of the variables, creating an equivalent equation. They will also learn efficient ways to solve equations with fractions or decimals. Both these methods will enable them to solve systems of equations algebraically. Students are introduced to solving systems of equations where both equations are in y = mx + b form.
Transformations & Similarity (ch 6) Jan.
Students will use rigid transformations: translation, rotation, and reflection. While students solve puzzles, they predict the result of each of the transformations. The focus on naming points using coordinates is important as students examine how the coordinates change as shapes are translated about the plane. Students investigate characteristics of similar and congruent shapes.
Slope & Association (ch 7) Jan.
This chapter builds on the single variable data displays from previous coursework and the coordinate graphing skills students began developing in Chapter 3. Different types of associations are introduced, and students learn how to place a trend line and use it to make predictions. Students will write linear equations using multiple strategies and apply this knowledge in a variety of contexts with the help of graphing technology.
Exponents & Functions (ch 8) Feb.
Students compare linear and exponential growth. Students will simplify and rewrite expressions with exponents from these situations. Students will be introduced to the concept of a function and describe the graphs of functions and non-functions. Angles & the Pythagorean Theorem (ch 9) March Students build several core geometry concepts related to parallel lines and triangles, and revisit similarity in the context of triangles. The relationships between the side lengths and angles of individual triangles is a focus in this chapter. Using the Pythagorean Theorem and square root operations requires students to work with irrational numbers.
Surface Area & Volume (ch 10) April
Students develop strategies to find the surface area and volume of several non-rectangular based prisms, beginning with cylinders. They find the volumes of cones, pyramids and spheres by comparing cylinders and cones with equal heights and congruent bases, as well as prisms and pyramids with equal heights and congruent bases.