
MAFS.5.MD.1.1: Convert among differentsized standard measurement units (i.e., km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec) within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multistep, real world problems.
Belongs to:
Convert like measurement units within a given measurement system. (Supporting Cluster)


MAFS.6.RP.1.1: Understand the concept of a ratio and use ratio language to describe
a ratio relationship between two quantities. For example, “The ratio
of wings to beaks in the bird house at the zoo was 2:1, because for
every 2 wings there was 1 beak.” “For every vote candidate A received,
candidate C received nearly three votes.”
Belongs to:
Understand ratio concepts and use ratio reasoning to solve problems. (Major Cluster)


MAFS.6.RP.1.3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
 Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
 Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
 Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
 Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
 Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
(^{1}See Table 2 Common Multiplication and Division Situations)
Particular alignment to :
MAFS.6.RP.1.3a : Make tables of equivalent ratios relating quantities with wholenumber
measurements, find missing values in the tables, and plot
the pairs of values on the coordinate plane. Use tables to compare
ratios.
MAFS.6.RP.1.3b : Solve unit rate problems including those involving unit pricing and
constant speed. For example, if it took 7 hours to mow 4 lawns, then
at that rate, how many lawns could be mowed in 35 hours? At what
rate were lawns being mowed?
MAFS.6.RP.1.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a
quantity means 30/100 times the quantity); solve problems
involving finding the whole, given a part and the percent.
MAFS.6.RP.1.3d : Use ratio reasoning to convert measurement units; manipulate
and transform units appropriately when multiplying or dividing
quantities.
MAFS.6.RP.1.3e : (New in 20142015) Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
Belongs to:
Understand ratio concepts and use ratio reasoning to solve problems. (Major Cluster)

Remarks/Examples:
Examples of Opportunities for InDepth Focus
When students work toward meeting this standard, they use a range of reasoning and representations to analyze proportional relationships.

MAFS.7.RP.1.1: Compute unit rates associated with ratios of fractions, including ratios
of lengths, areas and other quantities measured in like or different
units. For example, if a person walks 1/2 mile in each 1/4 hour, compute
the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2
miles per hour.
Particular alignment to :
MAFS.6.RP.1.3a : Make tables of equivalent ratios relating quantities with wholenumber
measurements, find missing values in the tables, and plot
the pairs of values on the coordinate plane. Use tables to compare
ratios.
MAFS.6.RP.1.3b : Solve unit rate problems including those involving unit pricing and
constant speed. For example, if it took 7 hours to mow 4 lawns, then
at that rate, how many lawns could be mowed in 35 hours? At what
rate were lawns being mowed?
MAFS.6.RP.1.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a
quantity means 30/100 times the quantity); solve problems
involving finding the whole, given a part and the percent.
MAFS.6.RP.1.3d : Use ratio reasoning to convert measurement units; manipulate
and transform units appropriately when multiplying or dividing
quantities.
MAFS.6.RP.1.3e : (New in 20142015) Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
Belongs to:
Analyze proportional relationships and use them to solve realworld and mathematical problems. (Major Cluster)


MAFS.7.G.1.1: Solve problems involving scale drawings of geometric figures,
including computing actual lengths and areas from a scale drawing
and reproducing a scale drawing at a different scale.
Particular alignment to :
MAFS.6.RP.1.3a : Make tables of equivalent ratios relating quantities with wholenumber
measurements, find missing values in the tables, and plot
the pairs of values on the coordinate plane. Use tables to compare
ratios.
MAFS.6.RP.1.3b : Solve unit rate problems including those involving unit pricing and
constant speed. For example, if it took 7 hours to mow 4 lawns, then
at that rate, how many lawns could be mowed in 35 hours? At what
rate were lawns being mowed?
MAFS.6.RP.1.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a
quantity means 30/100 times the quantity); solve problems
involving finding the whole, given a part and the percent.
MAFS.6.RP.1.3d : Use ratio reasoning to convert measurement units; manipulate
and transform units appropriately when multiplying or dividing
quantities.
MAFS.6.RP.1.3e : (New in 20142015) Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
Belongs to:
Draw, construct, and describe geometrical figures and describe the relationships between them. (Additional Cluster)


MAFS.7.G.2.6: Solve realworld and mathematical problems involving area, volume
and surface area of two and threedimensional objects composed of
triangles, quadrilaterals, polygons, cubes, and right prisms.
Particular alignment to :
MAFS.6.RP.1.3a : Make tables of equivalent ratios relating quantities with wholenumber
measurements, find missing values in the tables, and plot
the pairs of values on the coordinate plane. Use tables to compare
ratios.
MAFS.6.RP.1.3b : Solve unit rate problems including those involving unit pricing and
constant speed. For example, if it took 7 hours to mow 4 lawns, then
at that rate, how many lawns could be mowed in 35 hours? At what
rate were lawns being mowed?
MAFS.6.RP.1.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a
quantity means 30/100 times the quantity); solve problems
involving finding the whole, given a part and the percent.
MAFS.6.RP.1.3d : Use ratio reasoning to convert measurement units; manipulate
and transform units appropriately when multiplying or dividing
quantities.
MAFS.6.RP.1.3e : (New in 20142015) Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
Belongs to:
Solve reallife and mathematical problems involving angle measure, area, surface area, and volume. (Additional Cluster)

Remarks/Examples:
Examples of Opportunities for InDepth Focus
Work toward meeting this standard draws together grades 3–6 work with geometric measurement.

MAFS.8.G.3.9: Know the formulas for the volumes of cones, cylinders, and spheres
and use them to solve realworld and mathematical problems.
Particular alignment to :
MAFS.6.RP.1.3a : Make tables of equivalent ratios relating quantities with wholenumber
measurements, find missing values in the tables, and plot
the pairs of values on the coordinate plane. Use tables to compare
ratios.
MAFS.6.RP.1.3b : Solve unit rate problems including those involving unit pricing and
constant speed. For example, if it took 7 hours to mow 4 lawns, then
at that rate, how many lawns could be mowed in 35 hours? At what
rate were lawns being mowed?
MAFS.6.RP.1.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a
quantity means 30/100 times the quantity); solve problems
involving finding the whole, given a part and the percent.
MAFS.6.RP.1.3d : Use ratio reasoning to convert measurement units; manipulate
and transform units appropriately when multiplying or dividing
quantities.
MAFS.6.RP.1.3e : (New in 20142015) Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
Belongs to:
Solve realworld and mathematical problems involving volume of cylinders, cones, and spheres. (Additional Cluster)

Remarks/Examples:
Fluency Expectations or Examples of Culminating Standards
When students learn to solve problems involving volumes of cones, cylinders, and spheres
— together with their previous grade 7 work in angle measure, area, surface area and volume (7.G.2.4–2.6) — they will have acquired a welldeveloped set of geometric measurement skills. These skills, along with proportional reasoning (7.RP) and multistep numerical problem solving (7.EE.2.3), can be combined and used in flexible ways as part of modeling during high school — not to mention after high school for college and careers.