Math Curriculum
7th Grade
Course Purpose: |
Students will calculate and apply operations with rational numbers to solve real word problems. Students will apply algebraic concepts to solve one-step and two-step equations with rational numbers and apply to real world contexts. |
Outcomes and Components:
M.7.4 |
Students will examine given relationships of multiple representations to determine if they are proportional. | ||||
Pacing Instruct/ Assess |
Component Code |
Component |
Standard(s) |
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M.7.4.1 | Calculate unit rates including ratios of lengths, areas and other quantities measured in like or different units. Include better buy and complex fractions. |
7.RPA.1 7.G.A.1 |
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M.7.4.2 | Calculate actual lengths and areas using a scale drawing by writing proportions. | 7.G.A.1 | |||
M.7.4.3 | Reproduce a scale drawing using a different scale. | 7.G.A.1 | |||
M.7.4.4 | Explain if two quantities are proportional by creating ratios from a table and determining if they are equal. | 7.RPA.2.a | |||
M.7.4.5 | Explain if two quantities are proportional by graphing them on a coordinate plane and looking for a straight line through the origin. | 7.RPA.2.a | |||
M.7.4.6 | Identify the constant of proportionality from a table, graph, equation, diagram, and verbal description. | 7.RPA.2.b | |||
M.7.4.7 | Write an equation to represent a proportional relationship. | 7.RPA.2.c | |||
M.7.4.8 | Explain what a point (x,y) of a proportional relationship means in terms of the situation, including (0,0) and (1,r) where r is the unit rate. | 7.RPA.2.d |
Academic Vocabulary: determine, identify, explain, reproduce |
Content Vocabulary: proportional relationship, constant of proportionality, unit rate, complex fraction,equation, scale drawing |