Hickory Public Schools 7th Grade Math Curriculum Map Course Description: This course includes a variety of mathematical concepts including data analysis, geometry, proportional reasoning, and algebraic concepts. This course follows the seventh grade North Carolina Standard Course of Study. Students will take the North Carolina End-ofGrade test.
EOG Teacher-made exam
Hickory Public Schools Seventh Grade Math Power Standards Students taking seventh grade math in Hickory Public Schools will… 1. Demonstrate an understanding of proportional reasoning to solve problems. 2. Evaluate, create, and model algebraic equations and inequalities. 3. Use rational numbers to find solutions to problems. 4. Display and analyze data sets using different types of graphs and measures of central tendency. 5. Demonstrate an understanding of geometric terms and measurements for 2-D and 3-D figures.
Hickory Public Schools 7th Grade Math Curriculum Map 7th Grade Mathematics Vocabulary and Key Terms 1. Scale 2. plot 3. linear 4. cylinder 5. unit rate 6. unit price 7. view 8. expression 9. absolute value 10. additive inverse 11. function 12. sum 13. difference 14. product 15. quotient 16. commutative property 17. associative property 18. distributive property 19. prime 20. composite 21. cubed 22. squared 23. perimeter 24. area 25. congruent 26. equation 27. estimate 28. evaluate 29. coordinate plane 30. probability 31. inequalities 32. percent 33. volume
34. surface area 35. measurement 36. metric system 37. algebraic equations 38. exponential notation 39. circumference 40. graphs 41. mean 42. central tendency 43. median 44. mode 45. analyze 46. formulas 47. cross product 48. equivalence 49. commission 50. discount 51. interest 52. wholesale 53. retail 54. similar 55. integers 56. rational numbers 57. irrational numbers 58. inverse operations 59. reciprocal 60. factor 61. multiples 62. prime factorization 63. markup
64. extraneous information 65. percent 66. proportion 67. ratio 68. equivalence 69. dilation 70. projection point 71. polyhedron 72. lateral face 73. prism 74. pyramid 75. density 76. space figure 77. isometric view 78. corresponding parts 79. indirect measurement 80. transformation 81. scale 82. quartile 83. interquartile range 84. interval 85. outlier 86. histogram 87. variable 88. independent 89. dependent 90. evaluate 91. simplify 92. domain 93. input 94. output 95. coefficient 96. substitution
Hickory Public Schools 7th Grade Math Curriculum Map
Hickory Public Schools Grades 6-12 Mathematics Shared Agreements Teachers of Secondary Mathematics in Hickory Public Schools agree that all students will... 1. Connect mathematics to the real world weekly. 2. Utilize 21st century technology to model and/or solve mathematical concepts weekly. 3. Interpret text and apply proper problem-solving techniques weekly. 4. Use writing to demonstrate understanding of mathematical concepts at least once per unit.
Hickory Public Schools 7th Grade Math Curriculum Map Topic/Content Timeline
NCSCoS Objectives
Essential Questions
Key Terms
Resources (may vary by teacher and site)
Preview/ Assessment
1.02-Develop fluency in addition, What is the importance of math on
Plot
DPI Weekly Essentials
division of rational numbers.
Coordinate plane
Math & Me poster
1.03 Develop flexibility in solving
Commutative property
subtraction, multiplication, and (2 weeks)
your daily life? (Include a list.)
problems by selecting strategies and using mental computation,
Associative property
estimation, calculators or computers, and paper and pencil.
Distributive property
Prime
Evaluate
Equivalence
Hickory Public Schools 7th Grade Math Curriculum Map Integers
Factor
Multiples
Prime factorization
Simplify
Exponential notation
Geometry
2.02 Solve problems involving
How are geometric figures
volume and surface area of
distinguished from each other?
Review Terms: DPI Weekly Essentials
(8 weeks)
cylinders, prisms, and composite
Cylinder TI-73
shapes.
•
Review basic
Cubed Competitive Edge
terminology and
What are the similarities and
geometric rules
differences in perimeter and
Squared Blocks to study views, volume,
•
Angle
3.01 Using three-dimensional
measurements in
figures:
circumference? and surface area.
polygons
Perimeter What are the similarities and
Hickory Public Schools 7th Grade Math Curriculum Map •
Congruent figures
Identify, describe,
differences in area, volume and
•
Transformations
and draw from various
surface area?
•
Symmetry
views.
•
Perimeter and
•
•
Circumference
•
Area of polygons and circles
•
•
Build from various
What happens to area, volume, and
views.
surface area when one or more
Describe cross-
dimensions of a figure are changed?
sectional views.
Area
Geo-Solids (volume)
Volume
Power Point Presentations
Prism
white boards
New Terms:
Versatiles
Surface area
A variety of solids to find volume
Area/Perimeter of Irregular Figures
•
3-D figures
•
Volume of Prisms
and surface area. Dilation
and Cylinders
•
Volume of
Children's books Polygons
Pyramids, Cones, Spheres
•
Lateral face
Surface Area of Prisms, Cylinders,
Isometric view
Spheres
•
Changing
Corresponding angles
Dimensions Corresponding sides
Hickory Public Schools 7th Grade Math Curriculum Map Indirect measurement
Transformation
Data Analysis
(3 weeks)
4.01 Collect, organize, analyze,
How can advertisers try to mislead
and display data to solve
consumers with data?
problems.
Review Terms:
DPI Essential Questions
Mean
Competitive Edge
What kind of information can you discover from a box-and-whisker plot? Median
Power point Presentations
mode, range, frequency
What are the different ways to
Mode
Textbooks from other subjects,
Central Tendency
distribution, and inter-quartile
compare and contrast the different
•
Frequency Tables
range for a set of data.
types of graphs?
New Terms:
newspapers, and
•
Stem-and-Leaf Plots
4.03 Describe how the mean,
Which measure of central tendency is Measure of central tendency
Histograms/Bar
median, mode, range, frequency the best to use in a given situation?
Graphs
distribution, and inter-quartile
•
Circle Graphs
range of a set of data affect its
•
Box-and-Whisker
graph.
Interquartile range
Interval
•
•
•
Populations and
4.02 Calculate, use, and
Samples
interpret the mean, median,
Measures of
Explain.
Quartile
Plots
•
Line Graphs
4.04 Identify outliers and
•
Scatter Plots
determine their effect on the
magazines to find/study graphs.
white boards
Hickory Public Schools 7th Grade Math Curriculum Map •
Misleading Graphs
mean, median, mode, and range
Outlier
of a set of data. Histogram 4.05 Solve problems involving two or more sets of data using appropriate statistical measures.
Algebra
(9 weeks)
5.01 Identify, analyze, and
How do the steps for solving
Linear
DPI Essential Questions
create linear relations,
inequalities compare/contrast to the
sequences, and functions using
steps for solving equations?
Expression
Competitive Edge
Absolute value
Power Point Presentations
Function
Scholastic Math
symbols, graphs,
•
Exponents and
tables, diagrams, and written
How are the rate of change and y
Powers of Ten
descriptions.
intercept expressed in an equation?
•
Scientific Notation
•
Order of
5.02 Translate among different
Explain the use of order of operations
Operations
representations of algebraic
in solving equations.
Inequalities
Versa tiles
Prime
expressions, equations and
Factorization/GCF/L inequalities.
How can you adapt the distributive
Algebraic equations
Children’s Books
CM
property to solve one or two step Algebraic expressions
Students will use manipulatives
•
•
Variables and
5.03 Use and evaluate algebraic
Algebraic
expressions, linear equations or
Expressions
equations?
to make patterns and then create function tables and
Hickory Public Schools 7th Grade Math Curriculum Map •
Combining Like
inequalities to solve problems.
Inverse operations
5.04 Develop fluency in the use
Reciprocal
equations from these patterns.
Terms
•
Substitution
•
Integer Operations of formulas to solve problems.
•
Solving One-Step
Variable
Equations
•
Domain
Solving Multi-step Equations
•
Inequalities
•
Solving One-Step
Input
Inequalities
•
Output
Solving Two-Step Inequalities
•
Coefficient
Introduction to Functions
•
Substitution
Matching Graphs to Equations
Proportional Reasoning
(8 weeks)
1.01 Develop and use ratios,
How does one find an actual distance Review Terms:
proportions, and percents to
on a map, given the scale?
solve problems.
Unit Rate Analyze the connection between
•
Ratios and Rates
2.01 Draw objects to scale and
DPI Essential Questions
Modeling real life situations using magazines, newspapers, and
Hickory Public Schools 7th Grade Math Curriculum Map •
Writing and Solving use scale drawings to solve Proportions
fractions, decimals, and percents.
Probability
menus for percents, sales, etc.
How do we use proportions to solve
Proportion
Matchbook cars will be used
problems.
•
Similar Figures
•
Scale
3.02 Identify, define, and
percent problems? Be able to
Drawings/Models
describe similar and congruent
demonstrate through working
•
•
Fractions/Decimals/ polygons with respect to angle Percents
measures, length of sides, and
Percent of a
proportionality of sides.
Number Percent of Change 3.03 Use scaling and
•
Simple Interest
Ratio
proportion.
New Terms:
M&M activity to study ratios and
problems.
How does a wise consumer use their knowledge of percents?
•
to study ratios, scale and
proportions. Scale Indirect measurement
proportional reasoning to solve
What is the connection between
problems related to similar and
percent of change and simple
congruent polygons.
interest?
Unit price
Cross product
Commission
Discount
Interest
Wholesale
simulation.
Hickory Public Schools 7th Grade Math Curriculum Map Retail
Mark up
Reciprocal
Assessments/Review/Te
Explain the importance
sting
of assessments.
Coach
Competitive Edge (6 weeks)
Give several examples of the use of math in the real world.
Holt EOG preparation book
Study Island
Classworks
Optional Extension
5.01Identify, analyze, and create How can you apply your knowledge of
TI-73 Probability/Simulation
Topics
linear relations, sequences, and
Application
rations to determining probability?
functions using symbols, graphs,
•
Probability
tables, diagrams, and written
How do you use linear function tables
Hickory Public Schools 7th Grade Math Curriculum Map •
Linear
descriptions.
to determine rate of change/slope?
dice, spinners, marbles, beans
Functions/Slope
•
Rates of Change
5.02 Translate among different
TI manuals
representations of algebraic expressions, equations and
Real world situations using wind
inequalities.
chill factors, floors in buildings, hourly pay, etc.
5.03Use and evaluate algebraic expressions, linear equations or inequalities to solve problems.
5.04 Develop fluency in the use of formulas to solve problems.
