time docs/yr6_worddocs... · web viewsuggested start time for chapter 10: may 1, 2009 suggested...

Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in Chapter Lessons

District Model CABS

Suggested Vocabulary for Chapter 6

VARIES:

Start Date:January 26, 2009

MA221:Suggested time: 1 week

MA221: BLOCK ends March 27, 2009Chapters 6, 7, and 8

CHAPTER 6

6.1 Recursive Routines

6.2 Exponential Equations

6.3 Multiplication and Exponents

Quiz 1

CHAPTER 6

LT 5: Compare, perform, explain and evaluate mathematical operations (+, -, *, /, exponents, roots) and properties on real numbers, emphasizing negative and positive numbers; ratios, proportions and percents; and exponents and roots in mathematical and real-world applications.

LT 10: Recognize, analyze and identify relationships represented by algebraic expressions, equations, inequalities and graphs e.g., linear, exponential and quadratic.

CHAPTER 6

5.5 Solve problems involving powers and roots.

10.1 Recognize the characteristics of linear, quadratic and exponential families of functions.

10.4 Write equations for linear, quadratic and exponential patterns.

Nonlinear sequences, exponential growth, exponential decay, exponent, scientific notation, exponential function

Reflection

Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. Draft 01/10/09


District Model CABS


VARIES:

MA 221:Suggested:2 weeks

CHAPTER 6

6.4 Scientific Notation for Large Numbers

6.5 Looking Back with Exponents

6.6 Zero and Negative Exponents

Quiz 2

CHAPTER 6


CHAPTER 6

5.5 Solve problems involving powers and roots,

5.6 Express numbers using scientific notation and

perform operations, using the laws of exponents

See above

Reflection

Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Suggested


Chapter Lessons Model CABS Vocabulary for Chapter 6

VARIES:

MA221: Suggested time: 1 week

Suggested end time for Chapter 6: mid-February

CHAPTER 6

6.7 Fitting Exponential Models to Data

6.8 Activity Day: Decreasing Exponential Modelsand Half-Life

Review for Chapter 6 Final Assessment

CHAPTER 6


CHAPTER 6

10.6 Create models and justify strategies for a variety of real-world applications using linear, exponential and quadratic equations.

Unidel: after Section 6.8

See above

Reflection on Chapter 6


District Model CABS

Suggested Vocabulary for


Chapter 7VARIES:

Start: mid-to-end February

MA221 suggested time frame:3 weeks for Chapter 7

CHAPTER 7

7.1 Secret Codes

7.2 Functions and Graphs

Quiz 1

CHAPTER 7

LT 7: Create and use tables, graphs, equations and formulas to describe relationships between variables.

CHAPTER 7

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.

Domain, range, function, continuous, discrete, increasing and decreasing rate of change, squaring function

ReflectionFeedback


District Model CABS



Chapter 7VARIES:

End time: mid-March

CHAPTER 7

7.3 Graphs of Real-World Situations

7.4 Function Notation

Quiz 2

7.5 Defining the Absolute-Value Function

7.6 Squares, Squaring, and Parabolas

Final Assessment:Chapter 7

CHAPTER 7




CHAPTER 7

5.1 Solve problems using integers and absolute values.

7.1 Create tables, including real-world data, using equations and graphs7.5 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 real-world applications using linear, exponential and quadratic equations..

See above



District Model CABS



Chapter 8VARIES:

Suggested:Start time mid-March2009

Suggested Time:3 weeks on Chapter 8

CHAPTER 8

8.1 Translating Points

8.2 Translating Graphs

Quiz 1

CHAPTER 8

LT 16: Apply transformations and their compositions to analyze geometric figures and create designs.

.

CHAPTER 8

16.1 Plot and label geometric figures using a coordinate plane.

Polygon, transformation, family of functions, image, reflection, translation, stretching, shrinking

Reflection


District Model CABS



VARIES:

End Chapter 8 by end of March

CHAPTER 8

8.3 Reflecting Points and Graphs

8.4 Stretching and Shrinking Graphs

Quiz 2

8.5 Activity Day: Using Transformations to Model Data (Optional)

(8.6 optional)(8.7 optional)

Final Assessment: Chapter 8

CHAPTER 8

LT 16: Apply transformations and their compositions to analyze geometric figures and create designs.

CHAPTER 8

16.3 Identify, given an image and pre-image, the transformation that has taken place as a reflection, rotation, or translation

16.6 Design a real-world application of transformations and communicate the process used in the design

See above



District Model CABS



VARIES:MA221: suggested start time:April 1, 2009

RC121: BLOCK ONLY:Suggested start time: April 12009

Suggested time for Chapter 9: 2 ½ to 3 weeks

CHAPTER 9

9.1 Solving Quadratic Equations

9.2 Finding the Roots and the Vertex

QUIZ 1

CHAPTER 9


LT 9: Solve mathematical and real-world applications represented by linear and systems of equations, linear inequalities and quadratic equations.

CHAPTER 9

7.1 Create tables, including real-world data, using equations and graphs.

7.2 Create graphs, including real-world data, using equations and tables

9.7 Solve a quadratic equation by finding the roots and identifying the minimum or maximum of a quadratic equation

.

Quadratic, projectile, quadratic function, radical, irrational number, root, vertex, minimum, maximum, binomial, factor, quadratic formula, discriminant

Reflection


District Model CABS


VARIES: CHAPTER 9 CHAPTER 9 CHAPTER 9 See above


9.3 From Vertex to General Form

9.4 Factored Form

Quiz 2

9.5 Activity Day: Projectile Motion (Optional)

9.6 Completing the Square


LT10. Evaluate information, analyze patterns, identify relationships, and represent them using algebraic expressions, functions, and equations, e.g., linear, exponential and quadratic, recognizing that a family of functions can model a variety of real- world applications.

9.7 Solve a quadratic equation by finding the roots and identifying the minimum or maximum of a quadratic equation.

9.9 Apply linear equations, inequalities, quadratic equations and systems of linear equations to real-world applications.

10.1 Recognize the characteristics of linear, quadratic and exponential families of functions.

10.6 Interpret the properties of linear and quadratic functions.

Reflection


District Model CABS


VARIES: CHAPTER 9 CHAPTER 9 CHAPTER 9 Mary’s Dots: After Section

See Above


Suggested ending of Chapter 9: May 1, 2009

9.7 The Quadratic Formula

9.8 Cubic Functions (optional)

Final Assessment for Chapter 9


9.7 Solve a quadratic equation by finding the roots and identifying the minimum or maximum of a quadratic equation.

9.7Sally’s Doorbell: After 9.7



District Model CABS


VARIES:

Suggested start time for

CHAPTER 10: Probability

10.1 Relative

CHAPTER 10.LT 4: Use a variety of counting methods to identify all possible occurrences of

CHAPTER 10

4.1 Determine the experimental probability of an event.

Relative frequency graph, chance,


Chapter 10: May 1, 2009

Suggested time frame for Chapter 10: 2 weeks

Frequency Graphs

10.2 Probability Outcomes and Trials

QUIZ 1

10.3 Random Outcomes

10.4 Counting Techniques

events. Students will be able to apply this information to analyze, critique, and predict the results of statistical experiments.

4.2 Determine the theoretical probability of an event.

4.7 Use permutations and combinations.

probability, outcomes, experimental probability, theoretical probability, observed probability, random, tree diagram, permutations, combinations, conditional

Reflection


District Model CABS


VARIES:

Suggested End time for Chapter 10 around: mid-

CHAPTER 10

10.5 Multiple-Stage Experiments

Quiz 2

CHAPTER 10

LT 4: Use a variety of counting methods to identify all possible occurrences of events. Students will be able to apply this

CHAPTER 10

4.3 Determine the probability of independent events.

4.4 Determine the likelihood of complex

See above


May

10.6 Expected Value Final Assessment for Chapter 10

information to analyze, critique, and predict the results of statistical experiments.

events using dependent and/or conditional probability.

4.5 Compare the results of an experiment to the theoretical probability.

4.6 Apply the fundamental counting principle to real-world applications.

Reflection: Chapter 10


District Model CABS


VARIES:

Start date for Chapter 11: around mid-May

CHAPTER 11: Introduction to Geometry

11.1 Parallel and Perpendicular

CHAPTER 11

LT 6: Identify, describe and use formulas to solve real-world measurement problems such as interest, perimeter, area and volume.

CHAPTER 11

6.2 Calculate the area, perimeter and/or circumferences of a triangle, quadrilateral and a circle.

Parallel, perpendicular, inductive reasoning, deductive


Suggested time frame for Chapter 11 – 3 weeks

11.2 Finding the Midpoint

11.3 Squares, Right Triangles, and Areas

QUIZ 1

LT 8: Use the two-dimensional coordinate plane to analyze, generalize and represent algebraic properties in mathematical and real-world applications.

.

8.1 Determine if lines and segments drawn on a coordinate graph are parallel or perpendicular.

8.3 Use a coordinate plane and the distance and midpoint formulas to determine lengths and midpoints of segments..8.4 Use a coordinate plane and the distance and midpoint formulas to determine the lengths and midpoints of the sides of triangles.

reasoning, midpoint, Pythagorean Theorem, right triangle, distance formula, similarity, sine, cosine, tangent, trigonometry

Reflection


District Model CABS


VARIES: CHAPTER 11

11.4 The Pythagorean Theorem

CHAPTER 11

LT 5: Compare, perform, explain and evaluate mathematical operations (+, -, *, /, exponents, roots) and properties on real numbers, emphasizing negative and

CHAPTER 11

5.5 Solve problems involving powers and roots,

5.6 Express numbers using scientific

See above


11.5 Operations with Roots

QUIZ 2

positive numbers; ratios, proportions and percents; and exponents and roots in mathematical and real-world applications.

LT 8: Use the two-dimensional coordinate plane to analyze, generalize and represent algebraic properties in mathematical and real-world applications.

LT 11: Explain and use the Pythagorean Theorem and right triangle trigonometry as models to solve a variety of right triangle problems in real-world applications.

notation and perform operations, using the laws of

exponents

8.3 Use a coordinate plane and the distance and midpoint formulas to determine lengths and midpoints of segments

11.1 Apply the Pythagorean Theorem to find side lengths of a right triangle in mathematical and real-world applications.

Reflection


District Model CABS


VARIES:

Completed by June 8, 2009 for Chapter 11

CHAPTER 11

11.6 A Distance Formula

11.7 Similar

CHAPTER 11

LT 5: Compare, perform, explain and evaluate mathematical operations (+, -, *, /, exponents, roots) and properties on real numbers, emphasizing negative and

CHAPTER 11

5.3 Solve problems with ratios and proportions,

5.4 Solve real-world application problems

See above


MA221: NON-Block completes Semester 2 of Algebra

BLOCK: Completes RC121: Introduction to Geometry- Chapters 9, 10, and 11

Triangles and Trigonometric Functions

QUIZ 3

11.8 Trigonometry

FINAL ASSESSMENT: CHAPTER 11

positive numbers; ratios, proportions and percents; and exponents and roots in mathematical and real-world applications.

LT 11: Explain and use the Pythagorean Theorem and right triangle trigonometry as models to solve a variety of right triangle problems in real-world applications.

using scale factors and scale drawings.

11.1 Apply the Pythagorean Theorem to find side lengths of a right triangle in mathematical and real-world applications.

11.3 Solve right triangle problems using trigonometric ratios

11.4 Use trigonometric ratios to find the angle of elevation or the angle of depression in real world applications.



District Model CABS

Second Semester covers MA221 for NON-Block

Chapters 6 – 11 from Discovering Algebra should be covered.

LT1: Process – Communicate mathematical ideas and reasoning using the vocabulary of mathematics in a variety of ways, e.g., using words, numbers, symbols, pictures, charts, tables, diagrams, graphs and models.LT2: Measurement – Use a variety of

See Pacing Guide UniDel

Mary’s Dots

Sally’s Doorbell


Schools

Covers MA221 and RC121 for BLOCK Schools

Second Semester ends:June 10, 2009

Time should be given for Review.

Final Exam Days:June 11, 12, and June 15

mathematical and technological tools to determine measurements directly (ruler, protractor, compass) and to check reasonableness of answers. When students apply technology, e.g. computers and graphing calculators, they will interpret results appropriately.LT 4: Use a variety of counting methods to identify all possible occurrences of events. Students will be able to apply this information to analyze, critique, and predict the results of statistical experiments.LT5: Number Operations – Compare, perform, explain and evaluate mathematical operations (+, -, *, /, exponents, roots) and properties on real numbers, emphasizing negative and positive numbers; ratios, proportions and percents; and exponents and roots in mathematical and real-world applications.LT 6: Identify, describe and use formulas to solve real-world measurement problems such as interest, perimeter, area and volume.

LT8: Coordinate Plane - Use the two-dimensional coordinate plane to analyze, generalize and represent algebraic properties in mathematical and real-world applications.LT10: Relationships - Recognize, analyze and identify relationships represented by algebraic expressions, equations, inequalities and graphs e.g.,


linear, exponential and quadratic.LT 11: Explain and use the Pythagorean Theorem and right triangle trigonometry as models to solve a variety of right triangle problems in real-world applications.


time docs/yr6_worddocs... · web viewsuggested start time for chapter 10: may 1, 2009 suggested...

Documents