Holt McDougal 7th Grade Mathematics 1st Nine Weeks 2013-2014 Curriculum Coverage in Mathematics for the 2013-14 School Year as Outlined by TN-Core (TN transition to Common Core) The following Dropped SPIs will NOT appear on the 2013-2014 Dropped SPI’s: SPI 0706.2.3 Use rational numbers and roots of perfect squares/cubes to solve contextual problems. SPI 0706.2.4 Determine the approximate location of square/cube roots on a number line. SPI 0706.3.2 Determine whether a relation (represented in various ways) is a function. SPI 0706.3.3 Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern. SPI 0706.3.9 Solve linear inequalities in one variable with rational coefficients symbolically or graphically. SPI 0706.4.2 Use SSS, SAS, and AA to determine if two triangles are similar. SPI 0706.5.1 Interpret and employ various graphs and charts to represent data. SPI 0706.5.2 Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data. SPI 0706.4.3 Apply scale factor to solve problems involving area and volume. TN-Core recommends the following: Stop Teaching the dropped SPIs Spend 60-75% of the year on the TN-Core Focus Clusters listed below (The Focus Clusters are identified in red throughout the map.) 7.RP Analyze proportional relationships and use them to solve real‐world and mathematical problems (1, 2, 3) 7.NS Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers (1, 2, 3) 7.EE Use properties of operations to generate equivalent expressions (1, 2) 7.EE Solve real‐life and mathematical problems using numerical and algebraic expressions and equations (3, 4) The Standards for Mathematical Practice MP1. Make sense of problems and persevere in solving them. MP5. Use appropriate tools strategically. MP2. Reason abstractly and quantitatively. MP6. Attend to precision. MP3. Construct viable arguments and critique the reasoning of others. MP7. Look for and make use of structure. MP4. Model with mathematics. MP8. Look for and express regularity in repeated reasoning. PARCC Partnership for Assessment of Readiness for College and Careers (PARCC) committed to developing model content frameworks for mathematics to serve as a bridge between the Common Core State Standards and the PARCC assessments. The 2013-14 school year is the final year to prepare for the PARCC assessment, which will replace TCAP/EOC in 2014-15. Constructed Response Assessments (CRA) will be administered in grades 1 through 8, as well as Algebra I, Algebra II, and Geometry. Course emphases for PARCC Assessments are indicated by: o Major Content Supporting Content Additional Content Page 1 of 5 Holt McDougal 7th Grade Mathematics 1st Nine Weeks 2013-2014 Common Core State Standards State Performance Indicators (SPIs) Algebraic Reasoning (Allow 2 week for instruction, review, and assessment) SPI 0706.1.2 Generalize a variety of patterns to a symbolic rule from the tables, graphs, or words. 7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. SPI 0706.3.1 Evaluate algebraic expressions involving rational values for coefficients and/or variables. Content & Tasks 1-1 Numbers and Pattern Track Practice Task Writing Function Rules 1-6 Variables and Expression 1-7 Translating Words into Math Lessons: Grocery Shopping and the Quilt 1-8 Simplifying Algebraic Expression Evaluating Expressions Simplifying Expressions Integers and Rational Numbers (Allow 3 weeks for instruction, review, and assessment) 7.NS.A.2d Convert a rational number to a decimal using SPI 0706.2.2 Compare rational numbers using 2-10 Equivalent Fractions and Decimals appropriate inequality symbols. 2-11 Compare and Order Rational Numbers long division; know that the decimal form of a rational Representing Rational Numbers number terminates in 0s or eventually repeats. Rational and Irrational Numbers Game Square & Cubed Roots PowerPoint Estimating Square Roots Slideshow SPI 0706.2.5 Solve contextual problems that 2-1 Integers 7.NS.A.1 Apply and extend previous understandings of involve operations with integers. Hands on Lab: Model Integers Addition addition and subtraction to add and subtract rational Integer Chips numbers; represent addition and subtraction on a 2-2 Adding Integers horizontal or vertical number line diagram. Integers, Rational & Irrational Numbers 7.NS.A.1c Understand subtraction of rational numbers 2-3 Extension: Additive Inverses and Absolute as adding the additive inverse, p – q = p + (–q). Value 7.NS.A.2 Apply and extend previous understandings of 2-3 Subtracting Integers multiplication and division and of fractions to multiply Hands on Lab: Model Integers Subtraction and divide rational numbers. Lesson: Mathematics Project 7.NS.A.3 Solve real-world and mathematical problems 2-4 Multiplying and Dividing Integers involving the four operations with rational numbers Hands on Lab: Model Integers Multiplications 7.NS.A.2a Understand that multiplication is extended and Division from fractions to rational numbers by requiring that 2-5 Solving Equations Containing Integers Page 2 of 5 Holt McDougal 7th Grade Mathematics 1st Nine Weeks 2013-2014 operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. 7.NS.A.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). 7.NS.A.2c Apply properties of operations as strategies to multiply and divide rational numbers. Applying Rational Numbers (Allow 2 weeks for instruction, review, and assessment) 7.NS.A.1 Apply and extend previous understandings of SPI 0706.2.1 Simplify numerical expressions involving rational numbers. addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 7.NS.A.1b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. 7.NS.A.1c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). 7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. 7.NS.A.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Integer and Number line Activity Integer Operations on TI-73 Algebra Intro for Kids 3-2 Adding and Subtracting Decimals Modeling Adding Decimals 3-3 Multiplying Decimals Lesson: Cat Food Funbrain: Multiplying Decimals 3-4 Dividing Decimals Modeling Dividing Decimals 3-5 Solving Equations with Decimals 3-7 Adding and Subtracting Fraction 3-8 Adding and Subtracting Mixed Numbers Study Zone Mixed Numbers 3-9 Multiplying Fractions and Mixed Numbers Lesson: Problems for the Classroom 3-10 Dividing Fractions and Mixed Numbers 3-11 Solving Equations Containing Fractions Page 3 of 5 Holt McDougal 7th Grade Mathematics 1st Nine Weeks 2013-2014 7.NS.A.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. 7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 7.EE.B.4 Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Equations (Allow 2 weeks for instruction, review, and assessment) SPI 0706.3.8 Solve contextual problems 7.EE.B.4 7.EE.B.4a Solve word problems leading to equations of involving two-step linear equations. the form of px + q=r and p(x + q) = r, where p, q, and SPI 0706. 3.6 Solve linear equations with rational coefficients symbolically or r are specific rational numbers graphically. 7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4 Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.B.4a Solve word problems leading to equations of the form of px + q=r and p(x + q) = r, where p, q, and r are specific rational numbers. SPI 0706.3.8 Solve contextual problems involving two-step linear equations. SPI 0706. 3.6 Solve linear equations with rational coefficients symbolically or graphically. 12-1 Solving Two Equations Solving Equations 12-2 Solving Multi-Step Equations Discounted Books Short Equation Tasks 12-3 Solving Equations with variables on Both Sides. Fencing Tasks 12-3A Extension Examine Solution Methods Page 4 of 5 Holt McDougal 7th Grade Mathematics 1st Nine Weeks 2013-2014 Resource Toolbox: Formative Assessment http://discoveryeducation.com Holt McDougal http://my.hrw.com Pearson www.phschool.com/math http://www.pearsonsuccessnet.com http://www.poweralgebra.com Common Core Common Core Standards - Mathematics Common Core Standards - Mathematics Appendix A TN Core http://www.ccsstoolbox.org/ Technology-Graphing Calculators http://www.ti-mathnspired.com http://education.ti.com/educationportal/activityexchange/activity http://www.casioeducation.com/educators http://www.internet4classrooms.com/gateway_algebra.htm http://www.teachertube.com/ http://www.kutasoftware.com/free.html http://illuminations.nctm.org/ http://www.thefutureschannel.com/index.php http://www.stemresources.com/ http://epgyschools.stanford.edu http://jc-schools.net/dynamic/math/math12.html http://destinations.mcsk12.net/lms http://cuacs8.mck.ncsu.edu/mathsampleitems/main.html http://www.ilovemath.org/index.php?option=com_docman ht tps://www.e4tn.org/mobile/Default.aspx?cookie=true#algebra Page 5 of 5