Alapcae math activities 2014 ged test


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Alapcae math activities 2014 ged test

  1. 1. Math Activities for Migrating to the Common Core Standards Presented by Donna Ware Jefferson State Community College Adult Education
  2. 2. Common Core State Standards for Mathematics K-12? Maybe •Known as the CCSS for Mathematics •State-led project of National Governors Association & Council of Chief State School Officers College and Career Readiness Standards (CCRS) for Alabama? No •A combination of CCSS and Alabama Math Course of Study 2010 College and Career Readiness Standards for Adult Education? Yes •Known as the CCRS for Adult Education (CCRS-AE) •Selected from beginning level of instruction in CCSS Mathematical Reasoning Assessment Targets from GED Testing? Yes •From GED Testing Service web site (MRAT) Which Standards Are We Talking About Today?
  3. 3. CCSS vs CCRS  Number & Quantity  Algebra  Functions  Modeling  Geometry  Statistics & Probability  The Number System  Operations & Algebraic Thinking  Functions  Geometry  Measurement & Data  Statistics & Probability
  4. 4. Standards for Mathematical Practice •Make sense of problems and persevere in solving them. •Reason abstractly and quantitatively •Construct viable arguments and critique the reasoning of others. •Model with mathematics. •Use appropriate tools strategically. •Attend to precision. •Look for and make use of structure. •Look for and express regularity in repeated reasoning. Standards for Content over grade-level groupings (Levels A-E with most D and E) •The Number System •Operations and Algebraic Thinking •Functions •Geometry •Measurement and Data •Statistics and Probability
  5. 5.  Focus (Justify and defend answers) Foundations Conceptual understanding (Why at least as much or more as how) Procedural fluency Applications (modeling) Coherence Within and across levels building on previous core content foundati Depth of understanding Rigor View mathematics as more than a set of memorized procedures Equal attention to conceptual understanding, procedural fluency, an applications CCRS Shifts in Mathematics Instruction
  6. 6. Develop a Deep Understanding of Fractions CCRS-AE Levels C, D …use visual fraction models or equations to represent the problem
  7. 7. Fraction Kit
  8. 8. ½ + ¼ Visual Model
  9. 9. Modeling Multiplication of Fractions 2/3 X ½ 2/6 or 1/3
  10. 10. Review the Meaning of Division 6 ÷ 2 Think: How many 2s in 6?
  11. 11. Fraction Strips
  12. 12. 1 ÷ 1/n Strip Model for Division of Fractions 1 ÷ ½ Think: How many ½ s in 1? 1 ÷ 1/3 Think: How many 1/3s in 1?
  13. 13. How many 1/8s in ¼? How many 1/8s in ½? How many 1/4s in ½?
  14. 14. Discuss several models for the Meaning of Fractions
  15. 15. Solve a System of Two Equations CCRS-AE Level D Expressions and Equations: Analyze and solve linear equations and pairs simultaneous linear equations.
  16. 16. Find Surface Area and Volume of Cylinders, Cones, Pyramids, Spheres & Rectangular Prisms MRAT DOK 1-2 Calculate dimensions, surface area, and volume of three-dimensional figures. Note: Some previously supplied formulas such as formulas for circumference and area of circles must be known.
  17. 17. Geometric Solid Set
  18. 18. Make a Shape Kit for Cylinders, Pyramids, Cubes from Nets
  19. 19. Nets for Cones and Prisms
  20. 20. Find SA & Volumes of Composite Solids MRAT DOK 1-2 Compute surface area and volume of composite 3-D geometric figures. CCRS-AE Level D Solve real-life and mathematical problems involving angle, measure, area, surface area, and volume
  21. 21. Build Solids with Multilink Cubes
  22. 22. Build Composite Geometric Solids
  23. 23. Identify Properties of Linear, Quadratic, & Exponential FunctionsCCRS-AE Level E Analyze functions using different representations. Interpret functions that arise in applications in terms of the context. MRAT DOK 2 Compare, represent, and evaluate functions In a graphBy an equation In a table In words The Rule of 4
  24. 24. Function Foldables Fold a 5 X 8 index card in half from left to right. Cut it in half. Fan fold it to get four panels. Write each of the four representations of a linear, quadratic, or exponential function on each of the four panels.
  25. 25. Work with Radicals and Integer Exponents CCRS-AE Level D Work with radicals and integer exponents including scientific notation.
  26. 26. Exponent Cards
  27. 27. Exponent Card Problems
  28. 28. Solve Inequalities with Rational Coefficients MRAT DOK 1-2 Write, manipulate, solve, and graph linear inequalities with rational coefficients. CCRS-AE Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
  29. 29. Slope and the Coordinate Plane MRAT DOK 1 and 2 Determine the slope of a line from a graph, equation, or table. Interpret unit rate as the slope in a proportional relationship.
  30. 30. Graphing Lines
  31. 31. Which letters(s) has/have a part formed by a line with one positive slope and one negative slope? Find the slopes. Which letters (s) has/have a part formed by a line with a positive slope, a line with a negative slope, and a line with zero slope? Find the non-zero slopes.
  32. 32. Factoring/Solving Equations by Factoring CCRS-AE Level E Algebra: Seeing Structure in Expressions: Use the structure of an expression to identify ways to rewrite it.
  33. 33. Solve Quadratic Equations using the Quadratic Formula MRAT: Algebraic Problem solving Write, manipulate, and solve quadratic equations. Note that the quadratic formula is on the formula page.
  34. 34. Operations with Monomials and Polynomials CCRS-AE Level C Apply and extend previous understandings of arithmetic to algebraic expressions.
  35. 35. Form an algebraic expression, simplify and evaluate for the given values of the variables. Use two sets of cards to make polynomials to add or subtract.
  36. 36. The Number Line & Absolute Value CCRS –AE Level D Apply and extend previous understandings of numbers to the system of rational numbers. Understand ordering and absolute value of rational numbers.
  37. 37. Geometry Vocabulary Foldables Foldable ideas
  38. 38. TI 30 SX Multiview Calculator Eleven minute instructional video at •Easily reduces fractions and converts improper fractions •Easily operates with integers •Easily computes percents, converts back and forth to and from decimals •Easily operates on fractions •Easily computes roots •Easily works with scientific notation •Will require skilled use of computer mouse •Wysiwyg format
  39. 39. Link to 2014 Formula Sheet See page 16.
  40. 40. Students don’t have to get all the questions right! Two scores will be reported— a GED score and a career-readiness score
  41. 41. Resources  Common Core Standards-Mathematics  Adult Ed CCRS College & Career Readiness Standards for Mathematics  GED 2014 See pages 9-15 of Comparison of Math Items 2002-2014  Assessment Guide for Adult Educators (GED Testing)  Video for OnScreen Calculator for 2014 Test Watch now  Social Bookmarking Sites  Pearson Videos  Free Online Pre-Algebra text  Free Online Algebra text  Patrick JMT Tutorials  Khan Academy  Khan Common Core K-12  Very large catalog of educational videos aligned to the CCSS  Pre-Algebra With Pizzazz and Algebra With Pizzazz by Steve and Janis Marcy See  Foldable Ideas based on Dinah Kike’s foldable book 12_Math_Webpage/ms%20pages/foldableexamples.htm  Math foldables   Teaching the Common Core Math Standards with Hands-on-Activities Judith Muschla, Jossey-Bass, , 2012
  42. 42. Supply List  3D Geometric Solids  Fraction Kits  3D solid nets  Cardstock paper  Index cards  Gridded index cards  Spaghetti
  43. 43. All activities (except copyright protected parts) & this presentation is available at