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Goals and domain icons were developed by Angie Seltzer. Highlighted parts are from Grade 7 CCSS, Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
Grade 7
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CCSS ID MathPaths Grade 7 Goals
CCSS
THE NUMBER SYSTEM
A
1
Apply and extend previous understandings of operations with fractions to add and subtract rational numbers.*
7.NS.1ab
1-1*
Relate sums of rational numbers to movements or situations.
7.NS.1c
1-2
Relate subtraction of rational numbers to adding the opposite.
7.NS.1c
1-3*
Find distances between rational numbers on a number line.
7.NS.1d
1-4
Add and subtract integers. In Grade 6, integers and rational numbers were introduced but not added or subtracted.
7.NS.1d
1-5
Add and subtract rational numbers.
A
2
Apply and extend previous understandings of operations with fractions to multiply and divide rational numbers.* In CCSS, all four operations with rational numbers are part of Cluster A. For MathPaths assessments, the cluster has been divided into two parts.
7.NS.2a
2-1
Apply multiplication properties to rational numbers.
7.NS.2a
2-2
Interpret products of rational numbers in real situations.
7.NS.2b
2-3
Interpret quotients of rational numbers in real situations.
7.NS.2b
2-4*
Multiply and divide integers.
7.NS.2c
2-5
Multiply and divide rational numbers.
7.NS.2d
2-6
Write rational numbers as decimals.
7.NS.3
2-7
Compute with rational numbers to solve problems.
7.NS.3
2-8
Solve multi-step problems with rational numbers.
CCSS
EXPRESSIONS & EQUATIONS
A
1
Use properties of operations to generate equivalent expressions.
7.EE.1
1-1*
Add and subtract linear expressions with rational coefficients.
7.EE.2
1-2*
Expand or factor linear expressions.
7.EE.2
1-3
Interpret related expressions in real situations.
B
2
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.3
2-1
Use operations with whole numbers to solve multi-step problems.
7.EE.3
2-2
Use fractions to solve multi-step problems.
7.EE.3
2-3
Use decimals to solve multi-step problems.
7.EE.3
2-4
Assess reasonableness of answers by using estimation.
7.EE.4a
2-5
Solve linear equations of the form px + q = r and p(x + q) = r. In Grade 6, students solved equations of the form x + p = q and px = q. The form p(x + q) = r is new for this level in most states, and should be solved by multiplying or dividing first, then adding or subtracting.
7.EE.4a
2-6
Write linear equations to solve word problems.
7.EE.4a
2-7
Relate algebraic solutions to arithmetic solutions.
7.EE.4b
2-8
Write and solve linear inequalities for situations.
7.EE.4b
2-9
Graph and interpret solutions to inequalities.
CCSS
RATIOS & PROPORTIONAL RELATIONSHIPS
A
1
Analyze proportional relationships and use them to solve real-world and mathematical problems.*
7.RP.1
1-1
Calculate unit rates associated with ratios of fractions. For example, if 1/3 cup of water leaks from a faucet in 1/6 hour, what is the rate per hour?
7.RP.2a
1-2*
Decide if two ratios or fractions form a proportion.
7.RP.2a
1-3
Find the missing value in a proportion.
7.RP.2b
1-4
Identify unit rates from tables, diagrams, or graphs.
7.RP.2b
1-5
Identify unit rates from equations or verbal descriptions.
7.RP.2c
1-6
Write equations for proportional relationships.
7.RP.2d
1-7
Interpret points on graphs of proportions.
A
2
Solve multistep percent problems.* In CCSS, all proportional relationships including percents are part of Cluster A. For MathPaths assessments, the cluster has been divided into two parts.
7.RP.3
2-1*
Use percent to solve simple interest and tax problems.
7.RP.3
2-2
Use percent to solve markup and markdown problems.
7.RP.3
2-3
Use percent to solve problems about tips, commissions, and fees.
7.RP.3
2-4
Solve problems about percent increase or decrease.
7.RP.3
2-5
Calculate percent error. In many states, percent error is a new concept for Grade 7. If a length should be 10 inches but it is really 10.5 inches, the error is 0.5 inch. The percent error is 0.5/10 or 5%.
CCSS
GEOMETRY
A
1
Draw, construct, and describe geometrical figures and describe the relationships between them.
7.G.1
1-1
Compute lengths and areas from a scale drawing.
7.G.1
1-2
Reproduce scale drawing using a different scale.
7.G.2
1-3
Draw triangles given measures of sides or angles. Problems that ask students to draw a triangle when given the side lengths are new to Grade 7 in most states. Students should draw the longest side first and mark the two endpoints. Then, using a compass, draw arcs from the endpoints to determine the intersection of the shorter sides.
7.G.2
1-4
Draw geometric shapes with given conditions.
7.G.3
1-5
Describe two-dimensional figures that result from slicing solids.
B
2
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.G.4
2-1*
Recognize relationships between parts of a circle. Problems involving pi are new at this level.
7.G.4
2-2*
Apply formulas for circumference and area of circles.
7.G.5
2-3
Solve equations to find supplementary, complementary, vertical, and adjacent angles.
7.G.6
2-4
Solve problems involving area and surface area.
7.G.6
2-5*
Solve problems involving volume of rectangular prisms. Volume was introduced in Grade 5 and extended in Grade 6. At this level, problems should be more advanced.
CCSS
STATISTICS & PROBABILITY
A
1
Use random sampling to draw inferences about a population.
7.SP.1
1-1
Identify representative sampling methods.
7.SP.2
1-2
Use a sample to draw inferences about a population.
7.SP.2
1-3
Compare predictions from various samples.
B
2
Draw informal comparative inferences about two populations.
7.SP.3
2-1
Visually compare the centers and spreads of distributions on dot plots.
7.SP.4
2-2
Use measures of center and variability to make inferences.
C
3
Investigate chance processes and develop, use, and evaluate probability models.
7.SP.5
3-1
Compare probabilities and relate to likelihoods of events. Probability should receive a lot of emphasis. Grade 7 is the first year that probability is required.
7.SP.6
3-2
Use relative frequency of outcomes to approximate probability.
7.SP.7a
3-3*
Calculate simple probabilities based on equally-likely outcomes.
7.SP.7b
3-4
Make predictions based on relative frequency, and compare results to predictions.
7.SP.8a
3-5
Calculate probabilities of compound events.
7.SP.8b
3-6
Create an organized list, table, or tree diagram for a compound event.
7.SP.8c
3-7
Design and use simulations of compound events.
*See Grades 6-8 Games for goals marked with asterisks.