Proportional relationships triangles
[DOCX File]Carnegie Learning Math Series – Course 3 (8th Grade)
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Compare two different proportional relationships represented in different ways. use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation
Colorado Department of Education Home Page | CDE
Linear equations, model, linear relationships, proportional relationships, rate of change, representations, right triangles, similar triangles, constant of proportionality, equivalence, slope, algebraic equations, one variable linear equations, intercept ... Students can prove that triangles which form the same line are similar because they ...
[DOC File]Rigorous Curriculum Design
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In this unit, students will graph proportional relationships; interpret unit rate as the slope; compare two different proportional relationships represented in different ways and use similar triangles to explain why the slope is the same between any two points on a non-vertical line.
[DOC File]NJ
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# STUDENT LEARNING OBJECTIVES CORRESPONDING CCSS 1 Graph and analyze the different representations of proportional relationships and interpret the unit rate as the slope of the graph which indicates the rate of change.8.EE.5 2 Derive the equation of a line (y = mx for a line through the origin and the equation y = mx +b for a line intercepting the vertical axis at b) and use similar triangles ...
[DOCX File]Mathematics Instructional Plan - Grade 7
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Have students express the proportional relationships that exist for this set of trapezoids. Use this demonstration to introduce similar quadrilaterals. Distribute the Missing Measurements: Part 1 activity sheet, and have students identify the corresponding sides and corresponding angles.
[DOC File]Grade 8 - Oregon
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8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. ... 8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation ...
[DOC File]CT.GOV-Connecticut's Official State Website
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Similar triangles GRAPH (proportional relationships) INTERPRET (unit rate as slope) COMPARE (proportional relationships) EXPLAIN (why slope is the same between any two points on a non-vertical line) DERIVE (linear equations (y = mx and y = mx + b) SOLVE (linear equations)
[DOC File]Grade 7: Number Sense and Numeration
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proportional relationships (ratios, rates) (Unit 9) order of operations (Unit 10) Measurement. volume of right prisms (Unit 10) Geometry and Spatial Sense. similar and congruent triangles (Unit 8) transformations (Unit 8) Patterning and Algebra. modelling and describing proportional relationships (Unit 7) Data Management and Probability ...
[DOC File]Sample Task Alignment
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Use similar triangles to prove that . G.G.46 Investigate, justify, and apply theorems about proportional relationships among the segments of the sides of the triangle, given one or more lines parallel to one side of a triangle and intersecting the other two sides of the triangle. G.G.46a. In , is drawn parallel to .
[DOC File]As you fill this out, fill in all the blanks (___) and ...
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8.2 (D) Use multiplication by a unit rate to represent proportional relationships. 8.3 (A) Compare and contrast proportional and non-proportional relationships . 8.3 (B) Find solutions to problems involving percents and rates. 8.6 (A) Generate similar shapes using dilations. 8.9 (B) Use proportions in similar shapes to find missing measurements
[DOC File]Angles and Sides
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An understanding of ratios and similarity in certain triangles should be gained. Also, a feeling of confidence should be gained in dealing with triangles and their angle and side measurements using the relationships of 60-60-60, 30-60-90, and 45-45-90 triangles. The “Aha!” Moments
[DOC File]Rigorous Curriculum Design
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Students will graph proportional relationships, interpreting the unit rate as the slope of the graph. They will explain the slope of the graph by means of similar triangles and derive the equation y = mx or y = mx + b. They will explore characteristics of functions and determine when a table displays a rate of change characteristic of a linear ...
[DOCX File]169_186_CC_A_RSPC1_C12_662330.indd
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Course 3 • Chapter 3 Proportional Relationships and Slope. Lesson . 3. Reteach. Slope and Similar Triangles. Recall that the slope of a line is the ratio of the rise to the run. You can use properties of similar triangles to show the ratios of the rise to the run for each right triangle are equal. ... triangles are proportional. CB • DC ...
[DOC File]Kenwood Academy
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-recognize and use proportional relationships of corresponding perimeters of similar triangles-recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles . If two triangles are similar, then the perimeters are proportional to the measures of the corresponding sides. Each pair of ...
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