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)

    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

    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