7th Grade Math

 

 

 

 

 

 

 

 

back to Math

 

Lesson Plans / Units

 

 

__Surface Area Tiered Assignment______________________________________________________________________________

 

Read Alouds / Book Studies

 

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Online Resources

 

Mrs. Glosser's Math Goodies

Math Help for Students

http://www.mathgoodies.com/students.html

 

National Library of Virtual Manipulatives

http://nlvm.usu.edu/en/nav/grade_g_3.html

This site is SO worth the visit!

 

Math Tutor: Fractions

Need help with fractions? This site has fun math videos and games to help.

http://www.squidoo.com/Fractions/

 

Math Tutor: Order of Operations

http://www.squidoo.com/OrderOfOperations/

 

Math Tutor: Integers

http://www.squidoo.com/Integers/

 

Math Tutor:  YouTube Group

 If you enjoy YouTube, you'll appreciate this collection of how-to-do math videos. NOTE: YouTube is blocked by most school servers.

http://youtube.com/group/MathTutor

 

 

 

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Teachers to Connect With

 

Mrs. Wright

Math Challenger blog

Challenger Middle School, Huntsville, Alabama

http://mathchallenger.edublogs.org/

 

Jeanne Simpson

7 West Math blog with students

Cedar Ridge Middle School, Decatur, Alabama

http://jsgeometry.edublogs.org/

 

Jeanne Simpson

Mathematical Musings, professional blog

Cedar Ridge Middle School, Decatur, Alabama

http://mathmusings.blogspot.com/

 

Ms. Rebecca Newburn

Ms. Newburn's 7th Grade Math Blog

http://msnewburn.wordpress.com

 

Rebecca Newburn's Professional Blog

 Information Age Education: Transforming Teaching for the New Millennium

 http://information-age-education.com

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Curriculum

 

HTMS 7th Grade Math Curriculum Map

 

HTMS 7th Grade Pre-Algebra Curriculum Map

 

 

 

 

 

 

 

 

 

Number and Operations

 

 

 

 

 

 

 

 

 

Students will:

 

1. Demonstrate computational fluency with addition, subtraction, and multiplication of integers.

 

• Developing algorithms for performing operations on integers

 

Example: determining a systematic set of steps that can be used to subtract integers

 

• Using inverse properties of addition and of multiplication

 

2. Use order of operations to evaluate numerical expressions.

 

• Computing absolute values

• Finding square roots of perfect squares through 225

• Evaluating powers

• Applying properties of operations to compute with integers, fractions, and decimals

 

3. Solve problems requiring the use of operations on rational numbers.

 

• Describing the method used

• Determining the reasonableness of results

• Using percents to solve problems, including problems involving discounts, taxes, commissions, and simple interest

 

 

 

 

 

 

 

 

 

 

 

Algebra

 

 

 

 

 

 

 

 

 

4. Express a pattern shown in a table, graph, or chart as an algebraic equation.

 

• Recognizing the relationships between numerical patterns in tables and their respective graphs in the coordinate plane

 

• Determining if a constant rate of change exists in a pattern

 

5. Translate verbal phrases into algebraic expressions and algebraic expressions into verbal phrases.

 

• Exhibiting understanding of a variable as an unknown quantity

 

6. Solve one- and two-step equations.

 

• Solving inequalities in one variable

• Graphing solution sets of inequalities on a number line

• Recognizing properties of equality

 

 

 

 

 

 

 

 

 

 

Geometry

 

 

 

 

 

 

 

 

 

7. Determine the transformation(s), including translations, reflections, or rotations, used to alter the position of a polygon on the coordinate plane.

 

• Determining the type of symmetry (rotational or line) found in a reflection or rotation

• Graphing transformations of quadrilaterals on the Cartesian plane by plotting the vertices

• Graphing figures which are similar to other figures using dilations

 

 

8. Recognize geometric relationships among two-dimensional and three-dimensional objects.

 

• Drawing geometric figures when given specified components, including base and height

• Investigating properties and relationships among congruent figures

• Identifying geometric ideas in settings outside the mathematics classroom

 

Examples: recognizing Escher drawings as examples of tessellations, the geodesic dome as an example of triangulation, and architecture as an example of constructing three-dimensional shapes; identifying landscape design as an example of area

 

• Using networks to represent and solve problems

 

Example: Find the number of paths from point A to point B.

A

 

 

 

 

B

 

 

 

 

 

 

 

 

 

Measurement

 

 

 

 

 

 

 

 

 

9. Solve problems involving circumference and area of circles.

 

• Estimating circumference, diameter, and area

• Determining appropriate units of measure to describe circumference, diameter, and area

• Measuring circumference and diameter using customary and metric units

• Using circumference and diameter to approximate the value of π

• Identifying π as an irrational number

• Developing formulas for determining circumference and area

 

10. Find the perimeter of polygons and the area of triangles and trapezoids.

 

• Developing formulas for determining perimeter and area of triangles and trapezoids

 

11. Solve problems involving ratios or rates, using proportional reasoning.

 

• Determining the unit rate

• Converting rates from one unit to another

 

Example: determining the number of minutes in three days

 

• Converting units of length, weight, or capacity from metric to customary and from customary to metric

 

 

 

 

 

 

 

 

 

 

 

Data Analysis and Probability

 

 

 

 

 

 

 

 

 

12. Determine measures of central tendency (mean, median, and mode) and the range using a given set of data or graphs, including histograms, frequency tables, and stem-and-leaf plots.

 

• Creating histograms

 

13. Determine the probability of a compound event.

 

Example: finding the probability of selecting at random a hamburger and lemonade when choosing a sandwich and drink from two sandwich choices and three drink choices

 

• Representing outcomes as a list, chart, picture, or tree diagram

• Determining the number of possible outcomes by using the fundamental counting principle or other techniques

• Modeling the probability of events through simulations with random numbers

 

Example: determining the probability of a baby being a boy by generating random numbers, using a number cube with odd numbers representing a boy, to simulate the outcomes