Trimester #1 – 8th grade Math
For trimester #1 we will be focusing on
Unit 1: Rigid transformations and Congruence (20 days)
Describe
- movements of figures (Lessons 1 and 2)
- observations about transforming parallel lines (Lesson 9)
- transformations using corresponding points, line segments, and angles (Lesson 10)
- observations about angle measurements (Lesson 16)
- transformations found in tessellations and in designs with rotational symmetry (Lesson 17)
Generalize
- about categories for movement (Lesson 2)
- about rotating line segments (Lesson 8)
- about the relationship between vertical angles (Lesson 9)
- about transformations and congruence (Lesson 12)
- about corresponding segments and length (Lesson 13)
- about alternate interior angles (Lesson 14)
- about the sum of angles in a triangle (Lesson 16)
Justify
- whether or not rigid transformations could produce an image (Lesson 7)
- whether or not shapes are congruent (Lesson 11)
- whether or not polygons are congruent (Lesson 12)
- whether or not ovals are congruent (Lesson 13)
- whether or not triangles can be created from given angle measurements (Lesson 15)
Unit 2: Dilation, Similarity, and introducing slope (15 days)
Describe
- observations about scaled rectangles (Lesson 1)
- observations about dilated points, circles, and polygons (Lesson 2)
- sequences of transformations (Lesson 6)
- observations about side lengths in similar triangles (Lesson 9)
Explain
- how to apply dilations to find specific images (Lesson 5)
- how to determine whether triangles are congruent, similar, or neither (Lesson 8)
- strategies for finding missing side lengths (Lesson 9)
- how to apply dilations to find specific images of points (Lesson 12)
- reasoning for a conjecture (Lesson 13)
Represent
- dilations using given scale factors and coordinates (Lesson 4)
- figures using specific transformations (Lesson 6)
- graphs of lines using equations (Lesson 12)
Unit 3: Linear relationships (17 days)
Represent
- situations involving proportional relationships (Lesson 1)
- constants of proportionality in different ways (Lesson 3)
- slope using expressions (Lesson 7)
- linear relationships using graphs, tables, equations, and verbal descriptions (Lesson 8)
- situations using negative slopes and slopes of zero (Lesson 9)
- situations by graphing lines and writing equations (Lesson 12)
- situations involving linear relationships (Lesson 14)
Generalize
- categories for graphs (Lesson 2)
- about equations and linear relationships (Lesson 7)
- in order to make predictions about the slope of lines (Lesson 10)
Explain
- how to graph proportional relationships (Lesson 3)
- how to use a graph to determine information about a linear situation (Lessons 5 and 6)
- how to graph linear relationships (Lesson 10)
- how slope relates to changes in a situation (Lesson 11)