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Learning Goals

Overarching Learning Goals

1. PATTERN SNIFFER: Student identifies patterns and generate conjectures from those

patterns.2. EXPERIMENTER: Student conducts mathematical experiments (labs) and completes

lab reports with their conclusions.3. DESCRIBER: Student constructs logical, mathematical arguments using appropriate

mathematical language.4. TINKERER: Student chooses an effective approach for a problem from different

possibilities and evaluate the relative efficiency.5. INVENTOR: Student recognizes and applies mathematical ideas to situations in the

outside world.6. VISUALIZER: Student uses multiple representations to work on, create, and explain

problems.7. CONJECTURER: Student evaluates written arguments for validity.8. GUESSER: Student determines when an approximation or an exact value is

appropriate for a given situation and evaluates the reasonableness of a givensolution.

Work Habits Learning Goals

9. Student enters class on time and completes the warm-up in a timely fashion.10. Student regularly asks relevant mathematical questions.

11. Student observes class rules.12. Student helps others who are lost or confused in class.13. Student maintains an organized notebook and portfolio.14. Student summarizes their learning after every lesson.

Unit 1

1. Student can simplify radical expressions and perform arithmetic on them.2. Student can apply the Pythagorean Theorem to a variety of situations.3. Student can generate and solve proportions.

4. Student can use trigonometric ratios to identify missing sides and angles ofright triangles.

Unit 2

5. Student can identify bias in a survey or experiment and suggest alternativemethods to avoid bias, as well as identify the difference between qualitativeand quantitative data.

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6. Student can find the mean, median, and mode of a data set and explain howeach average can be used to tell a different story.

7. Student can create and interpret a histogram and a cumulative histogram, anddemonstrate the difference between univariate and bivariate data.

8. Student can find the five number summary of a date set and construct the

corresponding box-and-whisker plot.9. Student can generate a scatterplot from a data set, determine the correlation,

and draw a line of best fit, and explain the difference between correlation andcausation.

Unit 3

10. Student can explain the meaning of slope and can calculate it given a line or aset of points.

11. Student can solve linear equations and inequalities in one variable.

12. Student can formulate the equation of a line using slope-intercept form, giventwo points or a parallel line, and can graph a line given the equation.

13. Student can differentiate between an expression and an equation, and performarithmetic on polynomial expressions.

14. Students can identify and use the seven properties of real numbers.15. Student can recognize if a relation is a function and identify the mother

functions.16. Student can examine a function and determine the changes to the mother

function.17. Student can identify the vertex, axis of symmetry, and roots of a parabola.

Unit 4

18. Student can identify exponential growth and decay, and calculate the value fora given time.

19. Student can explain percents and rates, how they are related, and how theyare different from regular numbers.

20. Student can recognize if a relation is a function, identify the mother function,and determine what changes from the mother function have been made.

Unit 5

21. Student can: represent the elements of a set using roster notation, set buildernotation, and/or interval notation; can find the complement of a set; can findthe intersection and union of two sets.

22. Student can solve a linear equation or inequality in two variables for onevariable in terms of the other.

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23. Student can solve a system of linear equations using elimination, substitution,and graphing.

24. Student can devise a plan for evaluating multiple linear constraints todetermine the best course of action.

Unit 6

25. Students can represent a quadratic equation symbolically and can solvealgebraically.

26. Student can graph a quadratic equation and identify the roots, vertex, andaxis of symmetry.

27. Student can add, subtract, multiply, divide, and simplify rational expressions.

Unit 7

28. Student can identify, explain, and map the sample space of probabilistic eventsusing the counting principle and permutations.

29. Student can calculate the probability of an event and its inverse usingtheoretical and experimental data.

Unit 8

30. Student can calculate the surface area and volume of various solids andexplain how those values are related.