Common Core Math 7 Curriculum Guide Scranton School District Scranton, PA

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Ernest Harris
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1 Common Core Math 7 Scranton School District Scranton, PA

2 Course Title Common Core Math 7 Prerequisite : Math 6 Intended Audience: This course is designed for the student who has successfully completed Math 6 by the end of the 6 th grade. Year-at-a-glance This course is comprised of all the Pennsylvania Core Standards for grade 7 mathematics. While coherence is retained, in that it logically builds from the 6th Grade mathematics course, this course demands a normal pace for instruction and learning. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. The critical areas are as follows: Students develop an understanding of number, recognizing fractions, decimals and percents as different representations of rational numbers. Students extend addition, subtraction, multiplication, and division to all rational numbers. Students explain and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers and properties of operations to develop an understanding of integer exponents, and to work with numbers written in scientific notation. Students will use some linear equations and implement procedures to solve linear equations in one variable. Students solve problems involving the area and circumference of a circle and surface area of three-dimensional objects and solve real-world and mathematical problems involving area. Students use ideas about distance and angles, how they behave under translations, rotations, reflections, and ideas about congruence and similarity to describe and analyze two-dimensional figures and to solve problems. Students show that the sum of the angles in a triangle is the angle formed by a straight line and complete their work on volume by solving problems involving cones, cylinders, and spheres. After successfully completing the course, students will be allowed to enroll in Common Core Math 8. Common Core Math 7 Page 1

3 Subject: Common Core Math 7 Grade Level 7 Date Completed: 10/22/14 1 st Quarter Topic Resources CCSS The rational number operations, absolute value, properties of zero, real-world application, the distributive property, Big Ideas Red Chapter 1,2 7.NS.1, 1a,1b,1c,1d,2,2a,2b,2c Common Core Math 7 Page 2

4 2 nd Quarter Topic Resources CCSS Combining algebraic like terms, using distributive property, Big Ideas Red Chapter 3, 4 7. EE. 1, 2, 3, 4a, 4b writing expressions Using real-world multi-step problems involving rational numbers Big Ideas Red Chapter 2 7.EE.3 Converting between decimals, fractions, with rational numbers Big Ideas Red Chapter 2 7.EE.2 Writing expressions and equations to solve real-world problems Big Ideas Red Chapter 3,4 7 EE.2; 7EE.3, 7 EE.4 Common Core Math 7 Page 3

5 3 rd Quarter Topic Resources CCSS Compute unit rates with ratios of fractions Big Ideas Red Chapter 5,6 7 RP.1, 1a, 1b,1c, 1d Decide whether two quantities are proportional Big Ideas Red Chapter 5,6 7 RP.2 Identify the constant of proportionality ; represent proportional relationships with equations; Explain what a point (x,y) on the graph of a proportional relationship Constructions of triangles, angles. Identifying cross sections of three-dimensional figures. Scale drawings, reproducing a scale Big Ideas Red Chapter 5,6 7.RP.2 Big Ideas Red Chapter 7 7.G.1, 2, 3, 4, 5, 6 Using circumference and area in a circle. Big Ideas Red Chapter 8 7.G.4 Real-life problems involving volume and surface area Big Ideas Red Chapter 9 7.G.4,6 Using equations to solve for angles in a polygon Big Ideas Red Chapter 7 7.G.5 Common Core Math 7 Page 4

6 4 th Quarter Topic Resources CCSS Statistics and probability, making inferences, predictions from a sample, using measures of central tendency Big Ideas Red Chapter 10 7.SP.1, 2, 3, 4, 5, 6, 7a, 7b, 8a,8b 8c Tree diagrams, frequency tables, t-tables, Big Ideas Red Chapter 10 7.SP.8 Finding the probability of an event, compound events Big Ideas Red Chapter 10 7.SP.7,8 Common Core Math 7 Page 5

7 * When Common Core becomes fully implemented, the suggested timeline should be adjusted accordingly. General Topic Academic Essential Knowledge, Resources & Activities Assessments *Suggested Time Standard(s) Skills & Vocabulary The Number System 7.NS Teacher prepared tests, quizzes, etc. Series available assessments online. Red (optional) Add and subtract rational number 7.NS.1 Integer Number Line Add and subtract rational number on a horizontal and vertical number line Absolute Value 7.NS.1a Absolute Value Opposites Describe situations in which opposite quantities combine to make 0. Additive Inverse 7.NS.1b Apply real world context to opposites and absolute value Additive Inverses Big Ideas Red Chapter 1:1.2,1.3 Big Ideas Red Chapter 2: 2.1,2.2,2.3 Big Ideas Red Chapter 1: 1.1,1.2, Big Ideas Red Chapter2: 2.2 Big Ideas Red Chapter 1: 1.1,1.2 Big Ideas Red Chapter2: days Common Core Math 7 Page 6

8 Absolute Value 7.NS.1c Apply absolute value real-world context Addition/Subtraction of Rational Numbers Fractions as Rational Numbers 7.NS.1d Apply properties of operations strategies to add and subtract rational numbers 7.NS.2 Apply and extend previous understanding of x/y fractions and rational numbers Distributive Property 7.NS.2a Distributive property Applying (-1)(-1)=1 In real world application Property Of Zero 7.NS.2b 7.NS.2c Divisor Dividend properties of zero Understand that integers can be divided (with nonzero divisor)and the result is a rational number Big Ideas Red Chapter 1: 1.1,1.3, Big Ideas Red Chapter2: 2.3 Crosswalk Coach Lesson 7 Big Ideas Red Chapter 1: 1.1,1.2,1.3 Big Ideas Red Chapter 2: 2.2,2.3 Crosswalk Coach Lesson 7 Crosswalk Coach Lesson 5 Crosswalk Coach Lesson 8 Big Ideas Red Chapter 1: 1.1,1.4 Big Ideas Red Chapter 2: 2.4 Big Ideas Red Chapter 1:1.1, 1.4, 1.5 Big Ideas Red Chapter 2-2.1,2.4 Common Core Math 7 Page 7

9 Types of Decimals 7.NS.2d Terminating decimal repeating decimal Convert a rational number to a decimal using long division Real-world application of rational numbers 7.NS.3 Solve real world and mathematical problems involving the four operations and rational numbers Algebraic Expressions 7.EE.1 Coefficient like/unlike terms Apply operations as strategies to add, subtract expressions Writing algebraic expressions 7.EE.2 A A = 1.05A means increase by 5% or multiply by 1.05 Rewriting an expression can help understand the quantity Equations 7.EE.4 equations to solve problems real-life application Big Ideas Red Chapter 1:1.1 Big Ideas Red Chapter 2: 2.1 Crosswalk Coach Lesson 4 Triumph Learning CC Lesson 6,7,8 Big Ideas Red Chapter1: 1.1,1.2,1.3,1.4,1.5 Chapter 2: 2.2,2.3,2.4 Crosswalk Coach lesson 14,15 Triumph Learning CC L 13 Big Idea Red Chapter 3: 3.1,3.2, Ext:3.2 Triumph learning CC Lessons 13, 16 Big Idea Red Chapter 3: 3.1,3.2 Triumph Learning CC L17 Common Core Coach L16 5 days 5 days Common Core Math 7 Page 8

10 Equations 7.EE.4a Compare algebraic solutions to mathematical solutions Inequalities 7.EE.4b Compare inequalities to mathematical solutions Ratios and Proportions 7RP Big Ideas Red Chapter 3: 3.3,3.4,3.5 Crosswalk Coach Lesson 17 Crosswalk Coach Lesson 18 Big Ideas Red Chapter 4: 4.1,4.2,4.3, days 10 days Unit rates 7.RP.1 Compute unit rates ratios of fractions Big Idea Red Chapter 5: 5.1 Crosswalk Coach Proportions 7.RP.2a Decide whether two quantities are in a proportional relationship Unit Rate 7.RP.2b Identify the constant of proportionality unit rate Proportional Relationships 7.RP.2c Represent proportional relationships by equations Use cross products to solve Crosswalk Lesson 12 Triumph Learning CC Lesson 3 Big Ideas Red Chapter5:5.2,Ext 5.2,5.6 Crosswalk Coach Lesson 12 Triumph Learning CC lesson 3 Big Ideas Red Chapter5: Ext 5.2,5.4,5.5,5.6 Crosswalk Coach lesson 12 Triumph Learning CC Lesson 3 Big Ideas Red Chapter5: 5.3,5.4,5.6 4 days 4 days 4 days Common Core Math 7 Page 9

11 Coordinate Plane 7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means Crosswalk Coach lesson 12 Triumph Learning CC L3 Big Ideas Red Chapter5: 5.3,5.4,5.6 8 days Problem Solving 7.EE.3 Multi-step real-life problem Crosswalk Coach L.17 Triumph Learning CC L15 solving with rational numbers Big Ideas Red Chapter 6: 6.1,6.2,6.3,6.4,6.5,6.6,6.7 Geometry 7.B Big Ideas Red Chapter 7: 7.5 Crosswalk Coach L.20 Triumph Learning CC L18 18 days 1 day Scale Drawings 7.G.1 Scale drawings reproducing a scale Constructions of triangles 7.G.2 Describe the properties of all types of triangles based on angle and side measures Triangle Inequality 7.G Use triangle inequality theorem apply the triangle inequality theorem Big Ideas Red Chapter 7: 7.5 Crosswalk Coach L20 Triumph Learning CC 18 Common Core Coach L.19 Big Ideas Red Chapter 7: 7.3,7.4 Big Ideas Red Chapter7: day 4 days Common Core Math 7 Page 10

12 Cross Sections 7.G.3 Describe the 2-d figures that result from slicing 3-d figures right rectangular prisms pyramids Circles 7.G.4 area of a circle circumference of a circle Use equations to solve for angles Real-world problems involving area, volume, and surface area 7.G.5 Identify types of angles: supplementary, complementary vertical, adjacent Identify and use properties of angles formed by parallel lines cut by a transversal include alternate interior, alternate exterior, vertical, corresponding 7.G.6 Two and three dimensional figures Triangles, quadrilaterals, polygons, cubes, right prisms Crosswalk Coach L.22 Triumph Learning CC L.20 Big Ideas Red Chapter 9: Extension 9.5 Big Ideas Red Chapter 8: 8.1,8.2,8.3 Big Ideas Red Chapter9: 9.3 Crosswalk Coach L.23 Triumph Learning CC L.21 Big Ideas Red Chapter 7: 7.1,7.2, Ext 7.3 Crosswalk Coach L.24 Triumph Learning CC L 22 Big Ideas Red Chapter 8: 8.4, Big Ideas Red Chapter 9: 9.1,9.2,9.4,9.5 Crosswalk Coach L.25,26,27 Triumph Learning CC L23,24 8 days 8 days 1 Common Core Math 7 Page 11

13 Statistics/Probability 7.SP Random sampling and valid inferences 7.SP.1 Population sample representative Random sampling and valid inferences Crosswalk Coach L Triumph Learning CC L.25 Predictions 7.SP.2 Making a prediction based on a sample Measures of Central Tendency 7.SP.4 Variability of data draw inferences Using measures of central tendency Probability of an Event 7.SP.3.2 Find the probability of simple events, including the probability of an event not occurring Absolute Deviation 7.SP.3 Absolute deviation dot plot multiple measures of variability two sets of data Probability 7.SP.5 Unlikely events Between 0 and 1 Crosswalk Coach L.30,34 Triumph Learning L , Crosswalk Extension Coach 10.6 L.31,32,34,35 Triumph Learning CC L Big Ideas Red Chapter 10:10.7 Crosswalk Coach L.33,35 Triumph Learning CC L.27 Big Ideas Red Chapter 10:10.1,10.2,10.3 Crosswalk Coach L.28, Triumph Learning CC L.28 6 days Common Core Math 7 Page 12

14 Rolling numbered cube 7.SP.6 Rolling a number cube Frequency of an event Collecting data 7.SP.7 Develop models Observe occurrences Probable Outcomes 7.SP.7a Develop a uniform probability assigning probability to outcomes Probability Models 7.SP.7b Develop a probability model by observing Compound events 7.SP.7b Tables tree diagram Compound Events 7.SP.8a Probability compound event Sample Spaces 7.SP.8b Sample spaces compound events Simulations 7.SP.8c Design a simulation generate frequencies for compound events 10.3 Crosswalk Coach L.28 Triumph Learning CC L.29 Triumph Learning CC L.30 Crosswalk Coach L , Crosswalk Coach L.28 Crosswalk Coach L 29 Triumph Learning CC L ,10.5 Crosswalk Coach L.29, Triumph Learning CC Big Ideas Red Chapter 10: 10.4, Crosswalk Coach L.29 Triumph Learning CC L.30 4 days 6 days 5 days Common Core Math 7 Page 13

Grade 6: Correlated to AGS Basic Math Skills

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