2017-2018 Honors Math 6 Leslie Paytes e-mail: leslie.paytes@cms.k12.nc.us, webpage: http://lesliepaytes.cmswiki.wikispaces.net Additional Supplies: All students should have standard 6th grade supplies as well as: A 5-subject college ruled notebook with a plastic cover A composition book for warm ups 4 AAA batteries.
Course Description:
Students in Honors Math 6 will be covering the NC math standards for both 6th and 7th grade math; because of the pacing of this course students will sometimes be taking their class notes at home from the internet so we can do explorations and expansions in class. Students will be taking the 7th grade tests throughout the year, but will be taking the 6th grade EOG at the end of the year. The 6th grade skills have been interspersed with the 7th grade skills, students will demonstrate mastery of 6th grade skills through quizzes and review homework assignments. An outline of topics of study is listed at the bottom of this paper.
Tutoring times: Thursday mornings from 8-8:30, other times by appt.
Grading Scale: formal 65% (tests, tasks, projects, some classwork) informal 35% (hw, quizzes, some classwork)
Q1- Unit 1 : Signed Numbers and Rational Number System (7 NS 1-3) 9/4-9/29 = 4 weeks
Unit 2: Ratios and Proportions(6rp1-3 6 ee c9 ,7RP 1-2) 10/2-10/27 = 4 weeks
Week 1: class procedures, 6ns5-8- introduction to integers and the coordinate grid Desmos: battle boats and pomegraphit, sieve of Eratosthenes and prime numbers MP5 and 6 –measuring with a ruler using standard and metric units. introduction to games- 24 game, kenken, kakooma Week 2: 6ns5-8- integers and the coordinate grid –hw on prime numbers 7ns 1 – absolute value and distance on a number line, operations with integers (+,-) quiz on 6ns5-8 task: Port Royal a Sunken City hw on gcf/lcm Week 3 : 7ns 1, 6NS1-3- subtracting integers using chips, models, number lines and the algorithm, begin adding and subtracting rational numbers quiz on 7ns1: absolute value, distance, adding and subtracting integers. Hw on gcf and lcm Task: Water Crisis in Haiti. Dividing fractions, division of whole numbers, and operations with decimals. Week 4: 7ns2 multiplying and dividing integers- exploration with models and chips. quiz 6ns1-3 on division of whole numbers and operations with decimals. Week 5: 7ns2, 7ns3 multiplying and dividing integers, all operations with rational numbers test: 7ns1-2 integer operations
Week 6: 6rp1-3, 6eec9 ratio language, unit rates, and modeling ratios using tape diagrams, double number lines, ratio tables, and graphs; independent and dependent variables quiz primes, prime factorization, gcf and lcm
Week 7: 7 rp1-2 unit rates with complex fractions in ratio tables and the constant of proportionality. Task: Ratios and Proportional Relationships Task Cards Test on 6 ns 1-3, 5-8 and 7 ns 1-3
Week 8: 7 rp1-2 unit rates with complex fractions in ratio tables and the constant of proportionality. . Task- Friends meeting on Bicycles, Mixing Concrete, Track Practice, Cooking with the Whole Cup
Week 9: 7 rp1-2, 6 rp3d all ratios , use a percent box to model a percent problem and reason about percents Task: Sewing
Unit 4: Equivalent Expressions (6ee1-4)(7EE 1-2) 12/4-12/19 = 3 weeks
Unit 5: Equations and Inequalities (6ee5-7)(7EE 3-4) 1/3-1/26 = 4 weeks
Week 1: 7rp3 mark up, mark down, or just a percent test6rp1-3, 7rp1-2
Week 2: 7rp3 finding percent, discount, tax, tip, commission task:Double Discount,Gotham City Taxis, Sand under the Swingset
Week 3: 7rp3 working backward, simple interest
Week 4: 7rp3 percent of change, percent of error task: simple interest scavenger hunt
Week 5: 7rp3tasks: Tax and Tip, 10% increase and review
Week 6 : 6ee1-2 exponents, read, write, evaluate expressions Task: Situation Cards
Week 7: 6ee3-4, 7 ee1 combining like terms and properties of addition and multiplication, adding and subtracting expressions test7rp3 percents
Week 8: 7ee1 -2 expression applications and factoring expressions Task: Desmos the pool problem
Week 9: 6ee5-7 solving real-world equations and inequalities Task: Fundraising Desmos: graphing inequalities
Week 10: 7ee3 solving one and two step equations, the distributive property Task: The Distributive Property Game
Week 11: 7ee4 solve and graph inequalities task: Hersey’s Park Inequalities and Eat Local
Q3 Unit 5: Equations and Inequalities(con’t)
Unit 6: Scale with Proportional Reasoning (G.1)1/29-2/9= 2 weeks
Unit 7: Formulas and decomposing figures to find area, area on the planeAngles, Triangles, and Polygons (6. G1,3) (7.G 2, 5, 6) 2/12-2/23 = 2 weeks
Unit 9: Circles and Composite Area (G 4)3/5-3/23 = 3 weeks
Week 1: 7ee3-4 solving equations and inequalities
Week 2: 7g1 scale drawings and similar figures Task: WALCH- Scale Drawing Challenge: Airport
Week 3: 7g1 scale factor and indirect measurement test equations and inequalities
Week 4: 6g1-3, area of triangles and other figures- geometric proofs, effects of changing dimensions on perimeter and area, perimeter and area on the plane project gummi bear basketball court due 2/16/18
Week 5: 7g2, 7g5 triangle inequality theorem, lines and angles- complementary, supplementary, and vertical; test: 7ee3-4
Week 6: 7g5 composite area of 2D figures test 7g2,7g5
Week 7: 6g2,6g4 surface area and volume using nets and manipulative Task: NCTM packing the packages, and the candy box problem WALCH- Jewel Case
Week 8: 7G3, 7G6 volume and surface area of prisms and pyramids
Week 9: 7g4 CIRCLES- pi day, composite area , real world problems with circles.
Q4 Unit 9: Circles and Composite Area (con’t)
Unit 10: Stats Population and Samples ( 6 SP 1-3 ; 7SP 1-4) 3/26-3/30, 4/9-4/13 = 2 weeks
Unit 11: Probability of Random and Multiple Events (7SP 5-8) 4/16-5/4 = 2 weeks
Unit 12: EOG Review 5/7-5/18= 2 weeks
End of Year project: Famous Mathematicians and their Discoveries 5/21-6/8
Week 1: 7g4 circles and composite area Test: 7G3, 7G6
Week 2: 6sp1-5 statistical questions, center shape and spread, variability, mean absolute deviation, box plots, mean, median, mode, interquartile range Test: Circles and Composite Area
Week 3: 7sp1-4 use the graphing calculator to analyze data variability,
Week 4: 7sp5-8 probability- independent and dependent events, compound events, sample space, event space Quiz:6sp1-5
Week 5: 7sp5-8 probability- independent and dependent events, compound events, sample space, event space
Week 6: 6th grade EOG review
Week 7: 6th grade EOG review Test: 7sp1-8
Week 8: testing begins; mathematician project
Week 9: mathematician projects
-General Information-
School hours 9 a.m.-4.pm.
Phone number 980-343-5755
Mathematical Practices
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning
2017-2018 Honors Math 6
Leslie Paytes
e-mail: leslie.paytes@cms.k12.nc.us, webpage: http://lesliepaytes.cmswiki.wikispaces.net
Additional Supplies: All students should have standard 6th grade supplies as well as:
A 5-subject college ruled notebook with a plastic cover
A composition book for warm ups
4 AAA batteries.
Course Description:
Students in Honors Math 6 will be covering the NC math standards for both 6th and 7th grade math; because of the pacing of this course students will sometimes be taking their class notes at home from the internet so we can do explorations and expansions in class. Students will be taking the 7th grade tests throughout the year, but will be taking the 6th grade EOG at the end of the year. The 6th grade skills have been interspersed with the 7th grade skills, students will demonstrate mastery of 6th grade skills through quizzes and review homework assignments. An outline of topics of study is listed at the bottom of this paper.
Tutoring times: Thursday mornings from 8-8:30, other times by appt.
Grading Scale:
formal 65% (tests, tasks, projects, some classwork)
informal 35% (hw, quizzes, some classwork)
= 4 weeks
Unit 2: Ratios and Proportions(6rp1-3 6 ee c9 ,7RP 1-2)
10/2-10/27
= 4 weeks
Week 2: 6ns5-8- integers and the coordinate grid –hw on prime numbers
7ns 1 – absolute value and distance on a number line, operations with integers (+,-) quiz on 6ns5-8 task: Port Royal a Sunken City hw on gcf/lcm
Week 3 : 7ns 1, 6NS1-3- subtracting integers using chips, models, number lines and the algorithm, begin adding and subtracting rational numbers quiz on 7ns1: absolute value, distance, adding and subtracting integers. Hw on gcf and lcm Task: Water Crisis in Haiti. Dividing fractions, division of whole numbers, and operations with decimals.
Week 4: 7ns2 multiplying and dividing integers- exploration with models and chips. quiz 6ns1-3 on division of whole numbers and operations with decimals.
Week 5: 7ns2, 7ns3 multiplying and dividing integers, all operations with rational numbers test: 7ns1-2 integer operations
Week 6: 6rp1-3, 6eec9 ratio language, unit rates, and modeling ratios using tape diagrams, double number lines, ratio tables, and graphs; independent and dependent variables quiz primes, prime factorization, gcf and lcm
Week 7: 7 rp1-2 unit rates with complex fractions in ratio tables and the constant of proportionality. Task: Ratios and Proportional Relationships Task Cards Test on 6 ns 1-3, 5-8 and 7 ns 1-3
Week 8: 7 rp1-2 unit rates with complex fractions in ratio tables and the constant of proportionality. . Task- Friends meeting on Bicycles, Mixing Concrete, Track Practice, Cooking with the Whole Cup
Week 9: 7 rp1-2, 6 rp3d all ratios , use a percent box to model a percent problem and reason about percents Task: Sewing
6rp3d) (7RP 3) (7ee.2 10/30-12/1
= 5 weeks
Unit 4: Equivalent Expressions
(6ee1-4)(7EE 1-2)
12/4-12/19 = 3 weeks
Unit 5: Equations and Inequalities
(6ee5-7)(7EE 3-4)
1/3-1/26 = 4 weeks
Week 2: 7rp3 finding percent, discount, tax, tip, commission task:Double Discount,Gotham City Taxis, Sand under the Swingset
Week 3: 7rp3 working backward, simple interest
Week 4: 7rp3 percent of change, percent of error task: simple interest scavenger hunt
Week 5: 7rp3 tasks: Tax and Tip, 10% increase and review
Week 6 : 6ee1-2 exponents, read, write, evaluate expressions Task: Situation Cards
Week 7: 6ee3-4, 7 ee1 combining like terms and properties of addition and multiplication, adding and subtracting expressions test 7rp3 percents
Week 8: 7ee1 -2 expression applications and factoring expressions Task: Desmos the pool problem
Week 9: 6ee5-7 solving real-world equations and inequalities Task: Fundraising Desmos: graphing inequalities
Week 10: 7ee3 solving one and two step equations, the distributive property Task: The Distributive Property Game
Week 11: 7ee4 solve and graph inequalities task: Hersey’s Park Inequalities and Eat Local
Unit 6: Scale with Proportional Reasoning
(G.1)1/29-2/9= 2 weeks
Unit 7: Formulas and decomposing figures to find area, area on the plane Angles, Triangles, and Polygons (6. G1,3) (7.G 2, 5, 6)
2/12-2/23 = 2 weeks
Unit 8: Solid Figures (3-D) (6 G2, 4) (7.G.3,6)
2/26-3/2 = 2 weeks
Unit 9: Circles and Composite Area
(G 4)3/5-3/23 = 3 weeks
Week 2: 7g1 scale drawings and similar figures Task: WALCH- Scale Drawing Challenge: Airport
Week 3: 7g1 scale factor and indirect measurement test equations and inequalities
Week 4: 6g1-3, area of triangles and other figures- geometric proofs, effects of changing dimensions on perimeter and area, perimeter and area on the plane project gummi bear basketball court due 2/16/18
Week 5: 7g2, 7g5 triangle inequality theorem, lines and angles- complementary, supplementary, and vertical; test: 7ee3-4
Week 6: 7g5 composite area of 2D figures test 7g2,7g5
Week 7: 6g2,6g4 surface area and volume using nets and manipulative
Task: NCTM packing the packages, and the candy box problem WALCH- Jewel Case
Week 8: 7G3, 7G6 volume and surface area of prisms and pyramids
Week 9: 7g4 CIRCLES- pi day, composite area , real world problems with circles.
Unit 10: Stats Population and Samples ( 6 SP 1-3 ; 7SP 1-4) 3/26-3/30, 4/9-4/13 = 2 weeks
Unit 11: Probability of Random and Multiple Events
(7SP 5-8)
4/16-5/4 = 2 weeks
Unit 12: EOG Review 5/7-5/18= 2 weeks
End of Year project: Famous Mathematicians and their Discoveries 5/21-6/8
Week 2: 6sp1-5 statistical questions, center shape and spread, variability, mean absolute deviation, box plots, mean, median, mode, interquartile range Test: Circles and Composite Area
Week 3: 7sp1-4 use the graphing calculator to analyze data variability,
Week 4: 7sp5-8 probability- independent and dependent events, compound events, sample space, event space Quiz: 6sp1-5
Week 5: 7sp5-8 probability- independent and dependent events, compound events, sample space, event space
Week 6: 6th grade EOG review
Week 7: 6th grade EOG review Test: 7sp1-8
Week 8: testing begins; mathematician project
Week 9: mathematician projects
-General Information-
Mathematical Practices
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning