8th Grade Math

 

back to Math

 

Lesson Plans / Units

 

Geometry

 

Geometry Jeopardy

http://www.pdc.k12.wi.us/zeeh/Cowley/jeopardygeometry.ppt

 

 

 

Functions and Linear Equations

 

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Read Alouds / Book Studies

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Online Resources

 

National Library of Virtual Manipulatives

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

This site is SO worth the visit!

 

Bulletin Board ideas

http://faculty.kutztown.edu/schaeffe/BulletinBoards/bbs.html

 

Tools for Understanding: A Resource Guide for Extending Mathematical Understanding...

http://www2.ups.edu/community/tofu/

 

Mrs. Glosser's Math Goodies

Math Help for Students

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

 

 

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Teachers to Connect With

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Curriculum

 

HTMS 8th Grade Pre-Algebra Curriculum Map

 

 

Number and Operations

 

Students will:

 

1. Use various strategies and operations to solve problems involving real numbers.

 

• Using alternative representations of rational numbers

 

Examples: models, drawings, grids, graphs

 

• Applying GCF, LCM, and prime and composite numbers, including justification for the reasonableness of results, when working with rational numbers

 

Example: A new music store is having a grand opening. Every 20th customer gets a free compact disk (CD). Every 35th customer gets a free tote bag. The first customer to receive both gifts will be the 140th customer, because 140 is the LCM of 20 and 35. The answer (140th) is reasonable because it is larger than both 20 and 35. To say that the 5th customer, which is the GCF of 20 and 35, receives the gift is not reasonable because it is smaller than 20 and 35.

 

• Applying proportional reasoning

 

Example: The amount of rainfall recorded for a certain town in a 24-hour period is 16 inches. Since the rain fell 2 inches every 3 hours, 24 inches of rain will fall in 1 days if the rain continues at the same rate.

 

• Using vocabulary associated with sets, including union and intersection

• Determining whether a number is rational or irrational

• Demonstrating computational fluency with operations on rational numbers

 

2. Simplify expressions containing natural number exponents by applying one or more of the laws of exponents.

 

• Writing numbers using scientific notation

 

3. Use order of operations to evaluate and simplify algebraic expressions.

 

• Applying the substitution principle

• Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions

 

 

Algebra

 

4. Graph linear relations by plotting points or by using the slope and y-intercept.

 

• Determining slopes and y-intercepts of lines

• Calculating the slope of a linear relation given as a table or graph

• Exhibiting conceptual understanding of various uses of variables

 

5. Solve problems involving linear functions.

 

• Identifying functions from information in tables, sets of ordered pairs, equations, graphs, and mappings

• Determining the rule that defines a function

 

Example:(Rule: y = 4.5x)

 

• Classifying variables in a function as independent or dependent

• Classifying relations as linear or nonlinear by examining tables, graphs, or simple equations

 

6. Solve multistep linear equations, including equations requiring the use of the distributive property.

 

Example: solving -3(x – 5) – 6x = 2 + 4x

 

Geometry

 

7. Solve problems using the Pythagorean Theorem.

 

• Applying the Triangle Inequality Theorem

 

Example: determining if a triangle can be formed with sides of 1 inch, 2 inches, and 5 inches

 

• Verifying the Pythagorean Theorem

• Applying the Pythagorean Theorem to determine if a triangle is a right triangle

• Applying the Pythagorean Theorem to find the missing length of a side of a right triangle

• Calculating distances on the coordinate plane using the Pythagorean Theorem

 

8. Compare quadrilaterals, triangles, and solids, using their properties and characteristics.

 

• Developing mathematical arguments about the relationships among types of quadrilaterals and triangles

• Identifying angle bisectors, perpendicular bisectors, congruent angles, and congruent figures

• Constructing congruent and similar polygons, congruent angles, congruent segments, and parallel and perpendicular lines

 

 

Measurement

 

9. Determine the measures of special angle pairs, including adjacent, vertical, supplementary, and complementary angles, and angles formed by parallel lines cut by a transversal.

 

10. Find the perimeter and area of regular and irregular plane figures.

Example:If x represents the length of a side of the square, write expressions that represent the perimeter and area of the figure at

x the left.

 

11. Determine the surface area and volume of rectangular prisms, cylinders, and pyramids.

 

• Estimating surface area and volume of solid figures

• Determining the appropriate units of measure to describe surface area and volume

• Developing formulas for determining surface area and volume of rectangular prisms, cylinders, and pyramids

 

12. Determine the lengths of missing sides and measures of angles in similar and congruent figures.

 

• Applying proportional reasoning

• Using dilations on the coordinate plane to determine measures of similar figures

• Finding the ratios of the perimeters and areas of similar triangles, trapezoids, and parallelograms

Data Analysis and Probability

 

13. Interpret data from populations, using given and collected data.

 

• Representing the data with the most appropriate graph, including box-and-whisker plot, circle graph, and scatterplot

• Making predictions by estimating the line of best fit from a scatterplot

• Comparing data sets involving two populations

• Determining the measure of center that is the most appropriate for a given situation

 

14. Determine the theoretical probability of an event.

 

• Calculating the probability of complementary events and mutually exclusive events

• Comparing experimental and theoretical probability

• Computing the probability of two independent events and two dependent events

• Determining the probability of an event through simulation

 

Example: using random numbers to find the probability of a basketball player making six baskets in six attempts if he makes 60 percent of his shots from the court and shoots 20 times during a game