FRAME THE LESSON Student Expectations Bundled in Lesson Noun=Underline Verb=Italicize Readiness TEKS 8.4(B)- Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship 8.4(C)- Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems TEACHER: LESSON DATE: October 26-30 Unit 5: Slope and Y-Intercept Understandings & Proportional Relationships Engage: Monday Tuesday Wednesday Explore: HOS Lesson 6, pg. 98-101, “Triangle Sum Theorem” GO Math 7.3 “Angle-Angle Similarity”, pg.207-216. GO Math 7.3 cont. – pg. 210-212 Follow lesson and guide students to clear understanding of concept. Follow 5 E’s in Textbook. Explain: 2nd 6 Weeks Elaborate: Objective/Key Understanding: The student will understand and assimilate data from a table or graph and calculate rate of change and slope. Week 10 Resources: Thursday Friday GO Math 7.3 cont., pg. 213-214 Guided and Independent Practice (Food Day) GO Math, pg. 214; “Extend the Math” GO Math, Grade 8 ETA Hands-OnStandards, Gr 8 Go Math Interactive Whiteboard GO Math’s Personal Math Trainer Focus today: Discovering Angle-Angle Similarity, pg. 207-209 GO Math’s Math on the Spot GO Math’s Animated Math Process TEKS: 8.1A, 8.1B, 8.1C, 8.1D, 8.1E, 8.1F, 8.1G ELPS: c.4.D M T W TH F Teaching Points & Activities: Unit Rates, Constant Rates of Change & Constant of Proportionality Supporting TEKS 8.4(A)- Use similar right triangles to develop an understanding of slope, m 8.5(A)- Represent linear proportional situations with tables, graphs and equations in the form of y = kx 8th Mathematics CLASS: Evaluate: Ang-legs Stop & Check for Understanding—High Level Questions Are all equilateral triangles similar? Critical Writing Prompt: Explain how you would use slope to plan and build a wheelchair ramp for your grandparent or a visiting relative who must use a wheelchair? Small Group Purposeful Talk Question Stems: Rigor & Relevance: (Real World Why is it not enough to just look at the triangles to say that they are similar? The student will derive the y-intercept by examining a table and/or graph. The student will apply rate of change, y-intercept and slope to real-world problems. The student will understand slope by examining similar right triangles. Explain how you can model an isosceles triangle using Ang-legs. What is the measure of the base angles of an isosceles triangle that has a third angle with a measure of 50 degrees? Draw a picture to help and show all work. The student will understand slope as it relates to the change in y-values divided by the change in x-values. Closing Product/ Question/ Informal Assessment: HOS Formative Assessment, pg. 98 Vocabulary: Interior Angle Hydrologist Postulate transversal parallel lines hypotenuse exterior angle similar figures congruent Connection) Farah works for an architectural firm that designs theme parks. Her current client wants a park with three distinct areas – one for rides, one for stage shows, and one for concessions. Each area must be triangular and identical in size and shape. These three triangular areas must touch without gaps or overlaps and form a straight line on one side, where the parking lot will be. Farah thinks she can apply the triangle sum theorem to the problem. How can Farah arrange the three areas to satisfy the client’s demands?
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