Seventh Grade Math Curriculum Map -...

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-of-Grade 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.


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 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.


Topic/Content

Timeline

NCSCoS Objectives Essential Questions Key Terms Resources

(may vary by teacher

and site)

Preview/ Assessment

(2 weeks)

1.02-Develop fluency in addition,

subtraction, multiplication, and

division of rational numbers.

1.03 Develop flexibility in solving

problems by selecting strategies

and using mental computation,

estimation, calculators or

computers, and paper and pencil.

What is the importance of math on

your daily life? (Include a list.)

Plot

Coordinate plane

Commutative property

Associative property

Distributive property

Prime

Evaluate

Equivalence

DPI Weekly Essentials

Math & Me poster


Integers

Factor

Multiples

Prime factorization

Simplify

Exponential notation

Geometry

(8 weeks)

• Review basic

terminology and

geometric rules

• Angle

measurements in

polygons

2.02 Solve problems involving

volume and surface area of

cylinders, prisms, and composite

shapes.

3.01 Using three-dimensional

figures:

How are geometric figures

distinguished from each other?

What are the similarities and

differences in perimeter and

circumference?

What are the similarities and

Review Terms:

Cylinder

Cubed

Squared

Perimeter

DPI Weekly Essentials

TI-73

Competitive Edge

Blocks to study views, volume,

and surface area.


• Congruent figures

• Transformations

• Symmetry

• Perimeter and

Circumference

• Area of polygons

and circles

• Area/Perimeter of

Irregular Figures

• 3-D figures

• Volume of Prisms

and Cylinders

• Volume of

Pyramids, Cones,

Spheres

• Surface Area of

Prisms, Cylinders,

Spheres

• Changing

Dimensions

• Identify, describe,

and draw from various

views.

• Build from various

views.

• Describe cross-

sectional views.

differences in area, volume and

surface area?

What happens to area, volume, and

surface area when one or more

dimensions of a figure are changed?

Area

Volume

Prism

New Terms:

Surface area

Dilation

Polygons

Lateral face

Isometric view

Corresponding angles

Corresponding sides

Geo-Solids (volume)

Power Point Presentations

white boards

Versatiles

A variety of solids to find volume

and surface area.

Children's books


Indirect measurement

Transformation

Data Analysis

(3 weeks)

• Populations and

Samples

• Measures of

Central Tendency

• Frequency Tables

• Stem-and-Leaf

Plots

• Histograms/Bar

Graphs

• Circle Graphs

• Box-and-Whisker

Plots

• Line Graphs

• Scatter Plots

4.01 Collect, organize, analyze,

and display data to solve

problems.

4.02 Calculate, use, and

interpret the mean, median,

mode, range, frequency

distribution, and inter-quartile

range for a set of data.

4.03 Describe how the mean,

median, mode, range, frequency

distribution, and inter-quartile

range of a set of data affect its

graph.

4.04 Identify outliers and

determine their effect on the

How can advertisers try to mislead

consumers with data?

What kind of information can you

discover from a box-and-whisker plot?

What are the different ways to

compare and contrast the different

types of graphs?

Which measure of central tendency is

the best to use in a given situation?

Explain.

Review Terms:

Mean

Median

Mode

New Terms:

Measure of central tendency

Quartile

Interquartile range

Interval

DPI Essential Questions

Competitive Edge

Power point Presentations

Textbooks from other subjects,

newspapers, and

magazines to find/study graphs.

white boards


• Misleading Graphs mean, median, mode, and range

of a set of data.

4.05 Solve problems involving

two or more sets of data using

appropriate statistical measures.

Outlier

Histogram

Algebra

(9 weeks)

• Exponents and

Powers of Ten

• Scientific Notation

• Order of

Operations

• Prime

Factorization/GCF/L

CM

• Variables and

Algebraic

Expressions

5.01 Identify, analyze, and

create linear relations,

sequences, and functions using

symbols, graphs,

tables, diagrams, and written

descriptions.

5.02 Translate among different

representations of algebraic

expressions, equations and

inequalities.

5.03 Use and evaluate algebraic

expressions, linear equations or

How do the steps for solving

inequalities compare/contrast to the

steps for solving equations?

How are the rate of change and y

intercept expressed in an equation?

Explain the use of order of operations

in solving equations.

How can you adapt the distributive

property to solve one or two step

equations?

Linear

Expression

Absolute value

Function

Inequalities

Algebraic equations

Algebraic expressions


Competitive Edge

Power Point Presentations

Scholastic Math

Versa tiles

Children’s Books

Students will use manipulatives

to make patterns and

then create function tables and


• Combining Like

Terms

• Substitution

• Integer Operations

• Solving One-Step

Equations

• Solving Multi-step

Equations

• Inequalities

• Solving One-Step

Inequalities

• Solving Two-Step

Inequalities

• Introduction to

Functions

• Matching Graphs to

Equations

inequalities to solve problems.

5.04 Develop fluency in the use

of formulas to solve problems.

Inverse operations

Reciprocal

Variable

Domain

Input

Output

Coefficient

Substitution

equations from these patterns.

Proportional Reasoning

(8 weeks)

• Ratios and Rates

1.01 Develop and use ratios,

proportions, and percents to

solve problems.

2.01 Draw objects to scale and

How does one find an actual distance

on a map, given the scale?

Analyze the connection between

Review Terms:

Unit Rate


Modeling real life situations using

magazines, newspapers, and


• Writing and Solving

Proportions

• Similar Figures

• Scale

Drawings/Models

• Fractions/Decimals/

Percents

• Percent of a

Number

• Percent of Change

• Simple Interest

use scale drawings to solve

problems.

3.02 Identify, define, and

describe similar and congruent

polygons with respect to angle

measures, length of sides, and

proportionality of sides.

3.03 Use scaling and

proportional reasoning to solve

problems related to similar and

congruent polygons.

fractions, decimals, and percents.

How do we use proportions to solve

percent problems? Be able to

demonstrate through working

problems.

How does a wise consumer use their

knowledge of percents?

What is the connection between

percent of change and simple

interest?

Probability

Proportion

Ratio

New Terms:

Scale

Unit price

Cross product

Commission

Discount

Interest

Wholesale

menus for percents, sales, etc.

Matchbook cars will be used

to study ratios, scale and

proportion.

M&M activity to study ratios and

proportions.

Indirect measurement

simulation.


Retail

Mark up

Reciprocal

Assessments/Review/Te

sting

(6 weeks)

Explain the importance

of assessments.

Give several examples of the use of

math in the real world.

Coach

Competitive Edge

Holt EOG preparation book

Study Island

Classworks

Optional Extension

Topics

• Probability

5.01Identify, analyze, and create

linear relations, sequences, and

functions using symbols, graphs,

tables, diagrams, and written

How can you apply your knowledge of

rations to determining probability?

How do you use linear function tables

TI-73 Probability/Simulation

Application


• Linear

Functions/Slope

• Rates of Change

descriptions.

5.02 Translate among different

representations of algebraic

expressions, equations and

inequalities.

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.

to determine rate of change/slope? dice, spinners, marbles, beans

TI manuals

Real world situations using wind

chill factors, floors in buildings,

hourly pay, etc.

Seventh Grade Math Curriculum Map -...

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