Milwaukee Public Schools Curriculum Pacing Guide for Discovering Algebra Semester Two (Summer School 2009) Developed by the Milwaukee Mathematics Partnership with ...
Milwaukee Public Schools Curriculum Pacing Guide for Discovering Algebra Semester Two (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS Chapter 6: CHAPTER 6 CHAPTER 6 Unidel Exponents and Exponential LT 5: Compare, perform, explain and 5.5 Solve problems involving Models evaluate mathematical operations (+, powers and roots. -, *, /, exponents, roots) and Day 1 6.1 Recursive properties on real numbers, 5.6 Express numbers using Routines emphasizing negative and positive scientific notation and perform numbers; ratios, proportions and operations, using the laws of Day 2 6.2 Exponential percents; and exponents and roots in exponents. Equations mathematical and real-world applications. Day 3 6.3 Multiplication and Exponents LT 10: Recognize, analyze and 10.1 Recognize the characteristics identify relationships represented by of linear, quadratic, and Day 4 6.4 Scientific algebraic expressions, equations, exponential families of functions. Notation for inequalities and graphs e.g., linear, Large Numbers exponential and quadratic. 10.4 Write equations for linear, quadratic, and exponential Day 5 6.5 Looking patterns. Back with Exponents 10.6 Create models and justify strategies for a variety of real6.6 Zero and Day 6 world applications using linear, Negative exponential, and quadratic Exponents equations. Day 7
6.7 Fitting Exponential Models to Data
Day 8
Assessment and/or Activity Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 05/19/09
Suggested vocabulary Constant Multiplier Exponential Equation Base Exponent Growth Scientific Notation Decay
Milwaukee Public Schools Curriculum Pacing Guide for Discovering Algebra Semester Two (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS Chapter 7: CHAPTER 7 CHAPTER 7 Susan’s Code Functions LT 5: Compare, perform, explain and 5.1 Solve problems using integers Day 9 7.1 Secret Codes evaluate mathematical operations (+, and absolute values. -, *, /, exponents, roots) and Day 10 7.2 Functions properties on real numbers, and Graphs emphasizing negative and positive numbers; ratios, proportions and Day 11 7.3 Graphs of percents; and exponents and roots in Real-World mathematical and real-world Situations applications. Day 12 Day 13
7.4 Function Notation
LT 7: Create and use tables, graphs, equations and formulas to describe relationships between variables.
7.5 Defining the Absolute-Value Function
Day 14
7.6 Squares, Squaring, and Parabolas
Day 15
Assessment and/or Activity LT 10: Recognize, analyze and identify relationships represented by algebraic expressions, equations, inequalities and graphs e.g., linear, exponential and quadratic.
7.1 Create tables, including realworld data, using equations and graphs. 7.3 Identify the domain and range for a relation given a set of ordered pairs, a table, or a graph. 7.4 Determine from a set of ordered pairs, a table, or a graph whether or not a relation is a function. 7.5 Interpret the meaning of tables, graphs, and equations using data from real-world applications. 10.1 Recognize the characteristics of linear, quadratic, and exponential families of functions. 10.6 Create models and justify strategies for a variety of realworld applications using linear, exponential, and quadratic equations.
Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 05/19/09
Suggested vocabulary Function Domain Range Dependent Variable Independent Variable Continuous Discrete Absolute Value Parabola
Milwaukee Public Schools Curriculum Pacing Guide for Discovering Algebra Semester Two (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS Chapter 8: CHAPTER 8 CHAPTER 8 My Initials Transformations LT 16: Apply transformations and 16.1 Plot and label geometric Day 16 8.1 Translating their compositions to analyze figures using a coordinate plane. Points geometric figures and create designs. 16. 3 Identify, given an image and Day 17 8.2 Translating pre-image, the transformation that Graphs has taken place as a reflection, rotation, or translation. Day 18 8.3 Reflecting Points and 16.6 Design a real-world Graphs application of transformations and communicate the process used in Day 19 8.4 Stretching the design. and Shrinking Graphs Day 20
Assessment and/or Activity
Days 21-25
Review and Exam
LT 5, 7, 10, 16 and LT 1 (Process)
Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 05/19/09
Suggested vocabulary Transformation Image Translation Vertex Reflection Stretch Shrink