Hanover Middle School New Math Pathway Presented by Mr. Egan, Principal, and Ms. Jannell Pearson Assistant Principal- STEM
History of Common Core Standards Common Core standards were created based on MA Frameworks 48 States are now implementing the Common Core standards MA added additional standards to the Common Core Prepare all students for college and career readiness Allow teachers and students to go deeper into applications to connect math concepts.
5th Grade Transition from MA Frameworks to Common Core 5 th Grade Topics Learning Outcomes Place value and numbers sense Geometry Fractions and mixed numbers Add, subtract, multiply and divide fractions, decimals, whole numbers and integers Coordinate graphs Data, charts, and graphs Patterns Consumer math Ratios, Proportions and percentages Algebra Measurements Probability and statistics Time MA Framework requirements for students: - Exposed to the content - Demonstrate - Analyze - Recognize Common Core requirements for students: - Students will need to be fluent which means speed, accuracy and manipulate problems. - Students will need to be able to read, write and explain in their own words.
6 th Grade Transition from MA Frameworks to Common Core 6 th Grade Skills Learning Outcomes Percentages Convert measurements Fractions Multi-digits Add, subtract, multiply and divide multi- digits Prime factorization Relatively prime numbers Ordering and absolute value Write, read and evaluate Area, surface, perimeter, and volume MA Framework requirements for students: - Integration of skills - Reasoning skills - Construct arguments Common Core requirements for students: - Reasoning skills -Writing, interpret and using expression skills -Discussing and developing formulas - Persevere
7 th and Accelerated Math 7 Course By the end of the 7 th grade math, Common Core students will need to master these concepts: 1. Proportional relationships 2. Apply and extend operations with fractions to add, subtract, multiply and divide 3. Draw and construct geometrical figures 4. Solve real-life problems involving angle measure, area, surface area and volume. 5. Draw inferences about two populations By the end of Accelerated Math 7 course students will need to master 7 th Grade and 8 th Grade Concepts: 1. Identify rational and irrational numbers 2. Work with radical and integer exponents 3. Proportional relationships, lines and linear equations 4. Define, and evaluate, and compare functions 5. Understand congruence and similarity 6. Pythagorean Theorem 7. Bivariate data
8 th and Accelerated Math 8 Course By the end of 8 th grade math, Common Core students will need to master these standards: 1. Identify rational and irrational numbers 2. Understand the connections between relationships, lines, and linear equations 3. Define and evaluate functions 4. Understand geometry congruence and similarity, formulas 5. Bivariate data 6. Pythagorean Theorem By the end of Accelerated Math 8, students will need to master grade 8 and Algebra I standards: 1. Real number system 2. Expressions 3. Arithmetic operations 4. Creating equations 5. Interpreting functions 6. Building functions
HMS Math Pathway Math 7 Pre-Algebra 8 th Algebra if student has a high performance in Math 7
Pre-Algebra Pathway Pre- Algebra Algebra Algebra Honors
2013-2014 HMS Math Placement At the end of 6 th grade math placement, students will be placed in either: - 7 th grade Common Core - Accelerated Math 7 The requirements for being recommended for Accelerated Math 7 5 th Grade MCAS Score of Advanced Iowa Testing with a score of 90 or above Skills test with a score of 90 or above Cumulative Math Grade with a score of A average or higher Teacher Recommendation
Next year 7 th Grade students Math Placements New Math Pathway 7 th Grade Common Core Accelerated Math 7 8 th Grade Common Core A average or higher will be considered to be recommended to Accelerated Math 8 C average or higher will be recommended to Accelerated Math 8 C- or lower will be recommended to 8 th Grade Math 8
Next year 8 th Grade Students who are in Math 7 Math 7 8 th Grade Common Core
Next year 8 th Grade students who are in Pre-Algebra Pre-algebra Accelerated Math 8
6 th and 7 th grade Placement Process 6 th and 7 th grade parents will be receiving a recommended math course letter by the middle of May. Parents will have the opportunity to have the final say about the student s math placement. We will send a Connect Ed. confirming the student s math placement before the end of the school year.
Sample Math Placement Letter
Preparation for the fall Grade 5-8 Math Calendars will be sent home via Ed Connect
Resources Helpful tools from MA framework to Common Core www.hanoverschools.org/curriculum/index.htm MCAS MATH Prep www.doe.mass.edu/mcas/testitems.html Massachusetts Department of Elementary and Secondary Education www.doe.mass.edu/candi/ Khan Academy www.khanacademy.org/ IXL List of Grade 5-8 Skills http://www.ixl.com/math/grade-5
Review Math Skills Pre-Requisite Skills Pre-Algebra Algebra I Study Guide and Intervention http://glencoe.mcgrawhill.com/sites/dl/free/0078738229/518483/pswbri2.pdf http://glencoe.mcgrawhill.com/sites/dl/free/0078738180/517543/pasg.pdf http://glencoe.mcgrawhill.com/sites/dl/free/0078738229/518483/a1sg.pdf
Pre-requisite skills
Pre-requisite skills Please have students work on 5 questions per section this will help students skills in the next school year. This hand-out gives students math explanations. http://glencoe.mcgrawhill.com/sites/dl/free/0078738180/517543/pswbri2.pdf
Pre-requisite skills each section practice 5 questions. Skill 1 Comparing and ordering whole numbers Skill 2 Rounding Whole Numbers Skill 3 Adding Whole Number Skill4 Subtracting Whole Numbers Skill 5 Multiplying Whole Numbers Skill 6 Dividing Whole Numbers Skill 8 Decimals and Place Value
Pre-requisite skills each section practice 5 questions. Skill 9 Rounding Decimals Skill 10 Comparing and Ordering Decimals Skill11 Adding Decimals Skill 12 Subtracting Decimals Skill 13 Multiplying Decimals by Whole numbers Skill 14 Multiplying Decimals by Decimals
Pre-requisite skills each section practice 5 questions. Skill 15 Dividing decimals by whole numbers Skill 16 Dividing Decimals by Decimals Skill 17 Multiplying Decimals by Powers of Ten Skill18 Dividing Decimals by Power of Ten Skill 19 Equivalent Fractions Skill 20 Simplifying Fractions Skill 21 Writing Improper fractions as mixed numbers
Pre-requisite Skills Skills 22 Writing Mixed Numbers as Improper Fractions Skills 23 Comparing and Ordering Fractions Skills 24 Multiplying Fractions Skills 25 Multiplying Fractions and Mixed Numbers Skills 26 Dividing Fractions Skills 27 Dividing Fractions and Mixed Numbers Skills 28 Adding Fractions
Pre-requisite skills Skills 29 Adding fractions and mixed numbers Skills 30 Subtracting Fractions Skills 31 Subtracting Fractions and mixed numbers Skills 32 Writing fractions as decimals Skills 33 Writing decimals as fractions Skills 34 Writing decimals as percents Skills 35 Writing percents as percents
Pre-requisite skills Skills 37 writing percent s as fractions Skills 38 Comparing and Ordering Rational Numbers Skills 39 Length in the Customary System Skills 40 Capacity in the Customary System Skills 41 Weight in the Customary System Skills 42 Length in the Metric System Skills 43 Capacity in the Metric System
Pre-requisite skills Skills 44 Mass in the Metric System Skills 45 Converting Customary Units to Metric Units Skills 46 Converting Metric Units to Customary Units
Pre-Algebra and Algebra practice
Pre- Algebra and Algebra Readiness Skills Please have students work on 5 questions per section this will help students skills in the next school year. This hand-out gives students math explanations. http://glencoe.mcgrawhill.com/sites/dl/free/0078738180/517543/pasg.pdf
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice 5 questions Ch 1-2 Numbers and Expression Ch 1-3 Variables and Expressions Ch 2-1 Integers and Absolute Value Ch 2-2 Adding Integers Ch 2-3 Subtracting Integers Ch 2-4 Multiplying Integers Ch 2-5 Dividing Integers
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice about 5 questions Ch 3-1 Distributive Properties Ch 3-2 Simplifying Algebraic Expressions Ch 3-3 Solving Equations by Adding or Subtracting Ch 3-4 Solving Equations by Multiplying or Dividing Ch 4-1 Powers and Exponents Ch 4-2 Prime Factorization Ch 4-3 Greatest Common Factor
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice about 5 questions Ch 4-4 Simplifying Algebraic Fractions Ch 4-5 Multiplying and Dividing Monomials Ch 4-6 Negative Exponents Ch 4-7 Scientific Notation Ch 5-1 Writing Fractions as Decimals Ch. 5-2 Rational Numbers
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice 5 questions Ch 5-3 Multiplying Rational Numbers Ch 5-4 Dividing Rational Numbers Ch 5-5 Adding and Subtracting Like Fractions Ch 5-7 Adding and Subtracting Like Fractions Ch 5-8 Solving Equations with Rational Numbers Ch 6-1 Ch 5-9 Ratios and Rates Measure of Central Tendency
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice 5 questions Ch 6-3 Using Proportions Ch 6-5 Fractions, Decimals and Percents Ch 6-6 Using the Percent Proportion Ch 6-9 Percent of Change Ch 6-8 Using Percent Equations Ch 6-9 Percent of Change Ch 7-3 Rate of Change
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice 5 questions Ch 7-5 Slope Ch 7-6 Slope- Intercept Form Ch 7-7 Writing Linear Functions Ch 8-1 Solving Equations with Variables on each side Ch 8-2 Solving Equations with grouping symbols Ch 8-3 Inequalities Ch 8-4 Solving Inequalities by Adding or Subtracting
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice 5 questions Ch 8-5 Solving Inequalities by Multiplying or Dividing Ch 9-1 Square and Square Roots Ch 9-3 Triangles Ch 9-4 The Pythagorean Theorem\ Ch 10-6 Area : Parallelograms, Triangles and Trapezoind Ch 10.7 Circumference and Area : Circles Ch 11-2 Volume: Prisms and Cylinders
Preparing for Pre-Algebra and Algebra using the Glencoe Study Guide and Intervention Each section practice 5 questions Ch 11-4 Surface Area : Prisms and Cylinders Ch 11-5