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Algebra workshop session 3

Algebra workshop session 3. Tricia Profic , Erie 1 BOCES. NYS Assessments. Roundtable discussion: Comments about the assessments Concepts that were assessed Topics for workshops next school year. State Updates. Module 1for grades 6-12 became available today

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Algebra workshop session 3

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  1. Algebra workshop session 3 Tricia Profic, Erie 1 BOCES

  2. NYS Assessments • Roundtable discussion: • Comments about the assessments • Concepts that were assessed • Topics for workshops next school year

  3. State Updates • Module 1for grades 6-12 became available today • Ken Wagner’s Memo regarding High School Math Assessments • Algebra Clarifications and sample questions

  4. Major 5th grade Topics • Operations with Fractions • Operations with decimals • Order of operations • Place value, expanded notation • Metric conversions • Line plots with fractional data • Volume of rectangular prisms • Properties of quadrilaterals • Graphing in the first quadrant

  5. Major 6th grade Topics • Ratios and Rates • Division of Fractions • Introduction to rational numbers (order, absolute values, plotting points in the coordinate plane) • Writing expressions and equations • Measures of center and variability • Area, surface area, and volume (fractional side lengths)

  6. Major 7th grade Topics • Ratios and proportional relationships, multi-step and percent problems • Operations with rational numbers • Write and solve equations/inequalities with rational coefficients • Area and circumference of circles • Volume and surface area of three-dimensional rectangular figures • Compare data distributions and generate data through random distributions • Probability

  7. Major 8th grade Topics • Operations with scientific notation and exponents • Linear equations and systems of equations • Functions • Transformations • Volume of cones, cylinders, and spheres • Pythagorean Theorem • Bivariate statistics, scatter plots, line of best fit • Two-way frequency tables

  8. Major Algebra Topics • Linear equations, inequalities, systems of equations • Bivariate statistics, line of best fit, correlation coefficients, residuals, two-way frequency tables • Linear, quadratic, exponential functions • Arithmetic and geometric sequences • Operations with polynomials • Solve quadratic equations (factoring, complete the square, quadratic equation) and exponential equations (rewriting bases)

  9. Implications of Accelerating • If students are accelerated, they will miss: • Transformations • Scientific notation and exponent operations • Pythagorean Theorem • Introduction to systems of equations, functions, graphing lines, slope, bivariate statistics, higher level equation solving • Volume formulas for cones, cylinders, and spheres

  10. Probability and Statistics • We love it or we hate it…. • Probability and Statistics has significantly changed at each grade level • The difficulty level has increased • Focus on modeling situations through probability and statistics

  11. Grade 6 • Construction of box-and-whisker plots, dot plots, and histograms • Compare and contrast measures of center (mean and median) and variability (mean absolute deviation and interquartile range) • Describe and summarize numerical data sets

  12. Grade 6 Sample Question • Take a moment to complete the sample task, “Puppy Weights”

  13. Grade 7 • Compare two data distributions • Begin random sampling to generate data sets and discuss the importance in drawing accurate inferences • Apply probabilities to model situations • 6th grade statistics are post-assessment standards and could be assessed in 7th grade

  14. Grade 7 Sample Question • Complete the sample task, “College Athletes”

  15. Grade 8 • Bivariate Statistics • Construct scatter plots and line of best fit • Two-way frequency tables • Interpret the linear model in the context of the data and express the model as a linear relationship

  16. Grade 8 Sample Question • As a group complete the sample task, “Hand Span and Height”

  17. Algebra • Modeling with data in terms of a situation • Draw inferences about statistical data • Analyze the fit of a function by plotting and analyzing residuals • Correlation vs. causation • Describe associations among bivariate data through calculations of correlation coefficient

  18. Algebra Sample Question • Please complete the sample task, “Haircut Costs”

  19. Six Shifts in Mathematics • Teacher evaluators are expected by NYSED to observe how the six shifts in mathematics are being implemented in the classroom • FOCUS • COHERENCE • FLUENCY • DEEP UNDERSTANDING • APPLICATION • DUAL INTENSITY

  20. Sample Lesson Review • Each grade level has been given a sample lesson developed by the Mathematics Assessment Project • Use the Lesson Review worksheet to evaluate the lesson at your grade level

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