* Overview of the curriculum review process * Overview of the curriculum document structure * Examples illustrating improvements to the curriculum * Illustration of the domains of the CCS S & expected fluencies * Resource search process & recommendation * Next steps
* Board of Educat ion Members * Teachers & Administ rat ors * Members of t he Public
* To improve the mathematical learning for all students. * Middle S chool: CMT * High S chool: S AT & CAPT * Last curriculum revision was 2006 * Connecticut’s adoption of the CCS S in July 2010 * S BAC Assessment in 2014-15 * Align to the approved Pre-K to 5 curricula
* Research and review * Organized st andards int o unit s of st udy * Parent focus group * Curriculum post ed t o t he dist rict websit e for communit y feedback * Curriculum council review and feedback
Similar content: * Integers and rational numbers * Area concepts * Ratios and proportions * Data and statistics * Algebraic reasoning
* Addition and subtraction of * Division of fractions with fractions (Grade 5) models and applications * Area of squares and * Use of ratio tables rectangles (Grade 4 & 5) * Determining area of * Volume (Grade 5) composite figures * Using nets to determine surface area * Absolute value & Inequalities * Box and whisker plots, quartiles, mean absolute deviation
Similar content: * Integers and rational numbers * Area concepts * Ratios and proportions * Data and statistics * Algebraic reasoning
* Addition and subtraction of * Integers and rational fractions (Grade 5) numbers operations * Area of squares and * Two- & three-dimensional rectangles (Grade 4 & 5) Geometry * Volume (Grade 5) * In addition to the Math-6 topics noted earlier
Similar content: * Integers and rational numbers * Simple equations * Area, perimeter, and volume * Ratios and proportions
* 2-step equations and inequalities • Operations with fractions (Grade 5) * Graph solution sets of inequalities. • Operations with decimals * Derivations of formulas (Grade 5 & 6) * Cross-sections • Primes, factors, multiples, divisibility (Grade 5 & 6) * Test for equivalent ratios by • Exponents and powers graphing (Grade 6) * Mean absolute deviation
Similar content: * Solving linear equations * Measures of central tendency * Ratio and proportions * Similarity and congruence
* Exponents (Grade 6) * S olve and graph multi-step inequalities. * Powers of 10 (Grade 5) * Linear graphs * Order/ compare rational numbers * Mean absolute variation (Grade 6) * S * Prove and apply the Pythagorean catter plots (Grade 6) Theorem * Dilations of figures * Types of angles for parallel lines cut by a transversal. * Analyzing non-linear graphs. * S ystem of equations
Similar content: * Real Numbers * Solving linear equations * Statistics and probability * Pythagorean Theorem * Transformations
* Order of operations (Grade 6) * Extension of the Pythagorean * Computation with rational numbers Theorem (Grade 7) * Functions * Equivalence of fractions, decimals, * S lope (slope-intercept form) percents and Ratios (Grade 7) * S ystems of linear relationships * Number lines and grids (Grade 6) * Laws of exponents * Basic coordinate plane (Grade 6) * Volume of cubes and right prisms (Grade 7)
Similar content: * Graphing linear equations * Solving equations * Systems of equations * Linear modeling * Quadratic functions and equations
* Algebraic expressions and * Real numbers equations (grade 6 & 7) * Family of functions * Basic graphing (grade 6) * Correlation vs. causation * Quadratics – completing the square * S tatistics
Similar content: * Linear functions * Solving one and two-variable equations * Graphing equations * Functions and relations * Systems of equations * Factoring * Quadratics
* Laws of exponents (grade 8) * S tatistics * Algebraic expressions * S tandard deviation (grade 6 & 7) * Correlation vs. causation * Family of functions * Quadratics - completing the square
Similar content: * Geometric definitions & transformations * Triangle congruence * Properties of quadrilaterals * Properties circles * Trigonometry
* S * Additional work with hapes in space constructions and (Grade 6) transformations * Isometric drawings and * Increased focus on conics orthogonal views * Equation of parabola given * S patial relationships focus and directrix * Completing the square to find center and radius of a circle * Law of S ines and Cosines * Finding the area of a triangle using A=1/ 2ab(sin C) *
*
… Apply the formulas V = l w h and V = b h to find volumes of right rectangular Volume = LWH prisms with fractional edge lengths in Volume Truck = (7.5 ft)(15 ft)(7.5 ft) the context of solving real-world and Volume Truck = 843.75 ft 3 mathemat ical problems. 54 Boxes Volume Box = 15.625 ft 3 *
S olve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional obj ects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Area of the Base = 6 cm 2 * Volume = (Area of the base)(height) = (6 cm 2 )(12 cm) = 72 cm 3
Know the formulas for the Volume of the Cone ≈ 7238 cm 3 volumes of cones, cylinders and spheres and use them to solve real- world and mathemat ical problems. 𝟓 𝟒 𝝆𝒔 𝟒 7238 cm 3 = * radius = 12 cm
* Grade Fluency K Add and subtract within 5 1 st Add and subtract within 10 2 nd Add and subtract multi-digit numbers 3 rd Compute with all four operations 4 t h Compute multi-digit whole numbers using efficient strategies with all 4 operations 5 t h Compute with fractions and decimals 6 th Multi-digit division Multi-digit decimal operations 7 th Solve ax + b = c and a(x + b) = c 8 th Solve system of equations by Inspection Algebra Solve complex equations and inequalities Factor quadratics
* Initial teacher search committee * Final resource review committee * Teacher survey * Community viewing and feedback
(All 13 Attributes) Assessment/Data Differentiation (4 Attributes) (3 Attributes) (3 Attributes) Instructional Skill Practice (1 Attribute) Analysis Overall Support Resource 3.16 Glencoe Math 3.00 3.43 2.94 3.12 2.62 2.36 2.85 2.61 2.39 Math in Focus 3.22 3.25 3.35 3.01 3.11 Big Ideas
Curriculum Big Ideas Glencoe Math 3.71 3.50 Math 6 3.56 2.94 Transition to Pre-Algebra 3.57 3.00 Math 7 3.61* 3.44 Pre-Algebra 7 3.57 3.71 Pre-Algebra 8 3.60 3.32 Overall Alignment Rating *Updated from newly released Advanced 2 Big Ideas Learning Resource
Big Ideas Learning
(All 13 Attributes) Assessment/Data Differentiation (4 Attributes) (3 Attributes) (3 Attributes) Skill Practice Instructional (1 Attribute) Analysis Overall Support Resource Discovering 3.05 3.32 2.67 2.82 3.07 Algebra/Geometry Pearson Common 3.03 2.64 2.95 3.00 3.26 Core College Preparatory 2.83 3.29 2.60 2.46 2.60 Mathematics Core Connections
* The dist ribut ion of grades in 8 th grade Algebra has improved when compared t o prior years in bot h t he first and second quart ers. * The dist ribut ion of grades in t he high school in Algebra is consist ent wit h t he 5 year average. * S t udent individual performance on t he midt erm at t he high school was st at ist ically t he same on ident ical problems. * The average grade on t he 8 th grade Algebra midt erm was an 87% .
* Student and Parent Survey Results * 51% of students believe working in small groups helps them stay engaged. * 72% of the students believe the teacher provides feedback to the individual or groups during the lesson. * 46% of parents surveyed believed their student’s confidence in math improved. * 34% of parents surveyed believed that the online homework help did supply enough support.
Pearson Common Core Discovering Algebra & Algebra & Curriculum Geometry Geometry Algebra 8 2.94 3.11 Algebra 12 3.13 2.50 Geometry 3.75 3.19 (both 22 and 21) 3.27 2.93 Overall Alignment Rating
Pearson Common Core
* Curriculum implementation guides * Common assessments from the curriculum * Professional development
* Common assessments -internal -external * Classroom observations
* 3775 S tudents across nine different courses * Middle School Costs: * $171,000 for the Big Ideas Resources * High School Costs: * $109,000 for the Pearson Resources * Summer Work – Implementation Account * $19,400 * Approximately Cost to District: $294,000 * Costs per student is $74 per student for resources
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