McFarland Unified School District Grade 6 - Math Pacing

Transcription

1 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Vocabulary 6.NS.4 Find the greatest common.. Pg 6, 17 common factor, greatest common factor, equivalent fractions, 3 simplest form, fraction, numerator, denominator, common multiple least common multiple, 8/19-8/29 Compare & order NS Compare and order positive and 6.NS.5: Undertand that positive. Chapter 2 Test 9 days numbers negative fractions, decimals, and mixed 6.NS.6: Understand a rational number Unit 1 least common 3 numbers and place them on a number 6.NS.6a: Recognize opposite signs. Chapter 2 denominator, line. 6.NS.6b: Understand signs of Lesson 1-4 mixed number, 6.NS.6c: Find and the position Pg proper fraction, 6.NS.7: Understand ordering and improper fraction, 6.NS.7a: Intepret statements of Hands On terminating 6.NS.7b: Write, interpret, and explain Pg 34, 52 decimal, 6.NS7c: Understand the absolute value repeating decimal, fraction,decimal 9/3-9/9 Add, Subtract, NS Solve problems involving 6.NS.1: Interpret and compute. Chapter 3 Test Unit 1 variable, 1/2 5 days Fractions & mixed addition, subtraction, multiplication, and Chapter 3 algebraic numbers division of positive fractions and explain Lesson 1-3 expression, why a particular operation was used for a given situation. Optional Assessments Instructions Materials 8/12-8/16 Numbers, Patterns NS Determine the prime factors of fifth grade standard Chapter 1 Test Unit 1 prime number 5 5 days & Fractions all numbers through 50 and write the Chapter 1 composite numbers as the product of their prime Lesson 1-4 number, factors by using exponents to show multiples of a factor (e.g., 24 = Pg 6-27 prime factorization, 3 = 2³ 3). 5th grade standard Hands On factor tree, NS Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction). Pg evaluate, least common CST 1

2 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 9/10-9/13 NS Determine the least common 6.NS.4 Find the greatest common.. Hands On denominator, 3 Cont multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to Pg 70 mixed number, improper fraction find a common denominator to add two fractions or to find the reduced form for a fraction). 9/16-9/25 Multiply, Divide, NS Solve problems involving 6.NS.1: Interpret and compute. Chapter 4 Test Unit 1 greatest 1/2 8 days Fractions, decimal addition, subtraction, multiplication, and Chapter 4 common operators division of positive fractions and explain Lesson 1-4 factor, mixed why a particular operation was used for a given situation. Pg number, improper Hands On fraction, Pg 88,96,102 reciprocal, front-end estimation, leading digit compatible numbers 9/26-9/27 6 week review #1 assessment 9/30-10/11 Operators with NS Solve addition, subtraction, 6.EE.3: Apply the properties Chapter Test Unit 2 integer, 6 10 days integers multiplication, and division problems, 6.NS.2: Fluently divide multi-digit. Chapter 5 negative including those arising in concrete 6.NS.3: Fluently add, subtract. Lesson 1-5 integer, situations, that use positive and negative integers and combinations of these Pg positive integer, operations. Hands On opposite, Pg 134,141,142 absolute value, mean 10/7-10/11 Benchmark #1 Benchmark review 2 days CST 2

3 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 10/14-10/25 Order of NS Solve addition, subtraction, 6.EE.3: Apply the properties Chapter Test Unit 2 order of 6 10 days operators multiplication, and division problems, 6.NS.2: Fluently divide multi-digit. Chapter 6 operations, including those arising in concrete 6.NS.3: Fluently add, subtract. Lesson 1-3 rational situations, that use positive and negative integers and combinations of these operations. Pg number, additive identify, 10/14-10/25 NS Compare and order positive and 6.NS.5: Undertand that positive. Hands On multiplicative 3 Cont negative fractions, decimals, and mixed 6.NS.6: Understand a rational number Pg 170 inverse, numbers and place them on a number 6.NS.6a: Recognize opposite signs. multiplicative line. 6.NS.6b: Understand signs of identity, 6.NS.6c: Find and the position equivalent 6.NS.7: Understand ordering and 6.NS.7a: Intepret statements of 6.NS.7b: Write, interpret, and explain 6.NS7c: Understand the absolute value expressions 10/28-11/5 Expressions & AF Write and evaluate an algebraic 6.EE-.2: Write, read, and evaluate.. Chapter Test Unit 2 variable, 1 7 days formulas expression for a given situation, using up 6.EE-.2a: Write expressions that.. Chapter 7 algebraic to three variables. AF Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process. AF 3.1- Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = 1/2bh, C =pd - the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). 6.EE-.2b: Identify parts of an.. 6.EE.2c: Evaluate expressions.. Lesson 1-4 expression, 6.EE.1: Write and evaluate numerical Pg evaluate, 1 6.EE.2: Write, read, and evaluate. verbal model, 6.EE.2a: Write expressions that record.. Hands On terms, like 6.EE.2b: identify parts of an expression Pg 192, 203 terms, area coefficient, 6.EE.2: Write, read, and evaluate expre constant term, 1 6.EE-.2a: Write expressions that equation, 6.EE-.2b: Identify parts of an.. 6.EE.2c: Evaluate expressions.. formula, perimeter 11/6-11/19 Solve Equations AF Write and solve one-step linear 6.EE.7: Solve real-world and Chapter Test Unit 2 solution, 6 9 days equations in one variable. Chapter 8 solving an 6 week assessmentlesson 1-3 equation, Do review & test Pg inverse generator operations, Hands On equivalent Pg 216,223 equations CST 3

4 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 11/20-12/13 Ratios, Rates NS Interpret and use ratios in 6.RP.1: Understand the concept of 1 13 days Proportions different contexts (e.g., batting averages, 6.RP.2: understand the concept of a Test for 9/10 Unit 3 ratio, miles per hour) to show the relative sizes Teacher created Chapter 9 equivalent of two quantities, using appropriate Lesson 1-3 ratios, rate, notations (a/b, a to b, a:b ). Pg unit rate, CST 4

5 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 11/26-12/12 NS Use proportions to solve NA Chapter 10 multiplicative 6 Cont problems (e.g., determine the value of N Lesson 1-2 inverse,cross if 4/7 = N /21, find the length of a side of a polygon similar to a known polygon). Pg products, scale drawing, Use cross-multiplication as a method for Hands On scale, solving such problems, understanding it Pg 250,261, scale model as the multiplication of both sides of an equation by a multiplicative inverse. 274, 282 CST AF Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity. 6.RP.2: understand the concept of a 1/2 6.RP.3: Use ratio and rate reasoning.. 6.RP.3a: Make tables of equivalent. 6.RP.3b: Solve unit rate problems 6.RP.3c: Find a percent of a quantity 6.RP.3d: Use ratio reasoning to covert.. 12/16-12/19 Benchmark #2 week of 12/16 Benchmark review 2 days 1/14-31 Percent NS Interpret and use ratios in 6.RP.1: Understand the concept of Teacher created Unit 3 percent, 1 10 days different contexts (e.g., batting averages, 6.RP.2: understand the concept of a Chapter 11 proportion, miles per hour) to show the relative sizes Lesson 1-3 decimal, of two quantities, using appropriate notations (a /b, a to b, a :b ). Pg percent equation, NS Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. 6.RP.3: Use ratio and rate reasoning.. Chapter 12 interest, 5 6.RP.3a: Make tables of equivalent. Lesson 1-3 principal, 6.RP.3b: Solve unit rate problems Pg simple interest, 6.RP.3c: Find a percent of a quantity annual interest 6.RP.3d: Use ratio reasoning to covert.. Hands On rate, balance Pg 294,299,318, 324 2/3-2/7 Sample methods PS Identify different ways of NA Teacher created Unit 4 population, 3 3 days selecting a sample (e.g., convenience Chapter 13 sample, random sampling, responses to a survey, random Lesson 1 sampling, sampling) and which method makes a sample more representative for a Pg convenience sampling, selfpopulation. Hands On directed Pg 348 sampling, biased sample 5

6 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 2/11-2/18 Probability PS Represent probabilities as ratios, NA Chapter Test Unit 4 outcomes, 3 5 days proportions, decimals between 0 and 1, Chapter 15 event, and percentages between 0 and 100 and Lesson 1-3 favorable verify that the probabilities computed are reasonable; know that if P is the Pg outcomes, probability, probability of an event, 1-P is the Hands On theoretical probability of an event not occurring. Pg 414, 415 probability, experimental probability, disjoint events, overlapping events, complementary events 2/19 6 week assessment #2 2 days 2/19-21 PS Represent all possible outcomes NA 3 3 days Disjoint independent for compound events in an organized Teacher created Unit 4 compound Dependent events way (e.g., tables, grids, tree diagrams) and express the theoretical probability of Chapter 16 events, each outcome. Lesson 1 tree diagram Pg Hands On Pg 432 2/24-3/7 Angles, Triangles MG Identify angles as vertical, NA Chapter Test Unit 5 acute angles, 1 8 days adjacent, complementary, or Chapter 17 right angle, supplementary and provide descriptions Lesson 1-3 obtuse angle, of these terms. Pg straight angle, MG Use the properties of NA complementary, 4 complementary and supplementary Hands On supplementary, angles and the sum of the angles of a triangle to solve problems involving an unknown angle. Pg 456,467 adjacent angles, vertical angles, congruent angles, plane, intersecting CST 6

7 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary lines, parallel 2/25-3/7 lines, Cont perpendicular lines, corresponding angles, acute, right, obtuse triangle, congruent sides, equilateral, isosceles, scalene triangle 3/10-3/18 Area & AF 3.1- Use variables in expressions 6.EE.2: Write, read, and evaluate expre Chapter Test Unit 5 base of 1 7 days circumference describing geometric quantities (e.g., P = 6.EE-.2a: Write expressions that Chapter 20 parallelogram, 2w + 2l, A = 1/2bh, C =pd - the formulas 6.EE-.2b: Identify parts of an.. Lesson 1-4 height of a for the perimeter of a rectangle, the area 6.EE.2c: Evaluate expressions.. of a triangle, and the circumference of a Pg parallelogram, base of circle, respectively). Hands On triangle, AF Express in symbolic form simple relationships arising from geometry. MG Understand the concept of a constant such as π; know the formulas for the circumference and area of a circle. 6.EE.2: Write, read, and evaluate expre Pg 528, 535 height of a 1 6.EE.2a: Write expressions that record.. 6.EE.2b: Identify parts of an expression.. 6.EE.2c: Evaluate expressions.. triangle, 7.G.4: Know the formulas for the area.. bases of a trapezoid, height of a trapezoid, circle, center, radius, diameter, 3 circumference 3/17-3/21 Benchmark #3 week of 3/11 Benchmark review 3/24-3/25 Rate AF Demonstrate an understanding 6.RP.2: Understand the concept of unit.. Teacher created Standards-Plus 6 2 days that rate is a measure of one quantity per 6.RP.3: Use ratio and rate reasoning materials unit value of another quantity. 6.RP.3a: Make tables of equivalent.. 6.RP.3b: Solve unit rate problems.. 6.RP.3c: Finda percent of a quantity.. CST 7

8 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 3/26 Number line NS Compare and order positive and 6.NS.5: Undertand that positive. Standards-Plus 3 1 days negative fractions, decimals, and mixed 6.NS.6: Understand a rational number materials numbers and place them on a number line. 6.NS.6a: Recognize opposite signs. 6.NS.6b: Understand signs of 6.NS.6c: Find and the position 6.NS.7: Understand ordering and 6.NS.7a: Intepret statements of 6.NS.7b: Write, interpret, and explain 6.NS7c: Understand the absolute value CST 8

9 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 3/27 LCM - GCF NS Determine the least common 6.NS.4: Find the greatest common Standards-Plus 3 1 days multiple and the greatest common materials divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction). 3/28-3/31 Cubes MG Understand the concept of a 7.G.4: Know the formulas for the area.. Standards-Plus 3 2 days constant such as π; know the formulas materials for the circumference and area of a circle. 4/1- Angles MG Use the properties of NA Standards-Plus 4 1 days complementary and supplementary materials angles and the sum of the angles of a triangle to solve problems involving an unknown angle. 4/2 Review cubes & angles NS 1.1 / NS2.4 1 day 4/3 Assessment cubes & angles NS 1.1 / NS2.4 Standards-Plus 1 day materials 4/4 Simplify PS Identify different ways of NA Standards-Plus 3 1 days selecting a sample (e.g., convenience materials sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. 4/7 Probability PS Represent probabilities as NA Standards-Plus 3 1 days ratios, proportions, decimals between 0 materials and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring. CST 4/8 Assessment simplify & probability SDAP 2.2,3.3 Standards-Plus 1 day materials 9

10 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 4/9-4/11 Proportions NS Use proportions to solve NA Standards-Plus 6 2 day problems (e.g., determine the value of N materials if 4/7 = N /21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse. 4/ Spring Break 4/22-4/23 Sample methods PS Identify different ways of NA Standards-Plus 3 2 days Probability selecting a sample (e.g., convenience materials Assessment sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. PS Represent probabilities as ratios, NA proportions, decimals between 0 and 1, and percentages between 0 and 100 and 3 verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring. 4/24 Assessment proportions & sampling SDAP 2.2,3.3 Standards-Plus 1 day materials 4/25 Percentage NS Calculate given percentages of 6.RP.3: Use ratio and rate reasoning.. Standards-Plus 5 1 days quantities and solve problems involving 6.RP.3a: Make tables of equivalent. materials discounts at sales, interest earned, and tips. 6.RP.3b: Solve unit rate problems 6.RP.3c: Find a percent of a quantity 6.RP.3d: Use ratio reasoning to covert.. 4/28 Linear equations AF Write and solve one-step linear 6.EE.7: Solve rea-world Standards-Plus 6 1 days and rate equations in one variable. materials AF Demonstrate an understanding 6.RP.2: Understand the concept of unit.. Supplementary that rate is a measure of one quantity per 6.RP.3: Use ratio and rate reasoning materials 6 unit value of another quantity. 6.RP.3a: Make tables of equivalent.. 6.RP.3b: Solve unit rate problems.. 6.RP.3c: Finda percent of a quantity.. 4/29 Assessment percentage & linear eqns NS 1.1, AF 1.1 &2.2 Standards-Plus 1 day materials CST 10

11 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 4/30-5/2 Practice CST Schoolcity assessment 2 day 4/28-5/2 CST week CST week CST week CST week CST week CST week 5 day CST 11

12 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials Vocabulary 5/5-12 Sample PS Analyze data displays and explain 6.SP.5a: Summarize numerical data sets.. Unit 4 population, N/A 6 days why the way in which the question was 6.SP.5b: Summarize numerical data sets.. Chapter 13 sample, asked might have influenced the results 6.SP.5c: Summarize numerical data Lesson 2-4 random obtained and why the way in which the results were displayed might have 6.SP.5d: Summarize numberical data Pg sampling, systematic influenced the conclusions reached. Hands On sampling, Pg 367 convenience PS Identify data that represent 6.SP.5a: Summarize numerical data sampling, N/A sampling errors and explain why the 6.SP.5b: Summarize numerical data self-selected sample (and the display) might be biased. 6.SP.5c: Summarize numerical data sampling, 6.SP.5d: Summarize numberical data biased sample, PS Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. 5/13-5/14 Rvw & Assess sample SDAP 2.3,2.4 Chapter 13 2 day NA CST median, mode, mean, lower extreme, upper extreme, lower quartile, 3 upper quartile, range, outlier, interquartile range, boxand-whisker plot 5/15-23 Data Displays PS Identify different ways of NA Chapter Test Unit 4 frequency 3 7 days selecting a sample (e.g., convenience Chapter 14 table, sampling, responses to a survey, random Lesson 1-3 frequency, sampling) and which method makes a sample more representative for a Pg histogram, circle graph, population. Hands On angle, vertex, Pg 388, 401 degrees, ray, ordered pair, 5/22-23 Rvw & Assess Data displays SDAP 2.2 Chapter 14 2 day 12

13 Time Frame Big Idea/Topic Standards McFarland Unified School District Common Core Standards Optional Assessments Instructions Materials 5/27-6/5 Graphing AF 3.3 Graph linear functions, noting that seventh grade standard Unit 6 8 days Front Load 7th Grade the vertical change (change in y-value) Chapter 23 Lesson 1-4 Pg per unit of horizontal change (change in x- value) is always the same and know that the ratio ( rise over run ) is called the slope of a graph. (Grade 7) Hands On Pg 612 6/5 Rvw & Assess graphing AF 2.2 Chapter 23 1 day Vocabulary CST 13

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