Select Page

http://

# Dear Middle School Families

During the first three weeks of school, our students worked on classroom procedures, number sense, and STAR math.  During this time I also worked on assessing each student’s math skills to determine where we need to begin our lessons.  I appreciate your patience and understanding while I set our class of diverse students up for success. I will post the Unit/Lessons we will be working on each week.  Each post will include the skills we are focusing on, examples of these skills in action, and tips to assist you while working with your student at home.

Please let me know if you have any questions.

Thank You Mrs. Gibson

agibson@sienacatholicschools.org

# 8th Grade Math

Rigid Transformations

Lessons 1-6

### This week your student will learn to describe the movement of two-dimensional shapes with precision. Here are examples of a few of the types of movements they will investigate. In each image, Shape A is the original and Shapes B, C, and D show three different types of movement Students will also experiment with shapes and drawings to build their intuition by:

• cutting shapes out
• tracing shapes on tracing paper to compare with other shapes
• drawing shapes on grid paper
• measuring lengths and angles
• folding paper

Here is a task to try with your student:

1. Describe how the shape changes from one panel to the next.
2. Draw a fourth panel that shows what the image would look like if the shape in the third panel is rotated 180 degrees counterclockwise around the middle of the panel. Solution:

1. Turn it 90 degrees clockwise then move the shape to the right side.   What are Ratios?

### A ratio is an association between two or more quantities. For example, say we have a drink recipe made with cups of juice and cups of soda water. Ratios can be represented with diagrams like those below. Here are some correct ways to describe this diagram:

• The ratio of cups of juice to cups of soda water is.
• The ratio of cups of soda water to cups of juice is 4 to 6.
• There are 3 cups of juice for every 2 cups of soda water.

The ratios 6:4, 3:2 and 12:8  are equivalent because each ratio of juice to soda water would make a drink that tastes the same.

Here is a task to try with your student:

There are 4 horses in a stall. Each horse has 4 legs, 1 tail, and 2 ears.

1. Draw a diagram that shows the ratio of legs, tails, and ears in the stall.
2. Complete each statement.
• The ratio of ________ to ________ to ________ is ________ : ________ : ________.
• There are ________ ears for every tail. There are ________ legs for every ear.

Solution: 1. Answers vary. Sample response:
2. Answers vary. Sample response: The ratio of legs to tails to ears is 16 : 4 : 8. There are 2 ears for every tail. There are 2 legs for every ear.