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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 
11*

Relate sums of rational numbers to movements or situations. 
7.NS.1c 
12

Relate subtraction of rational numbers to adding the opposite. 
7.NS.1c 
13*

Find distances between rational numbers on a number line. 
7.NS.1d 
14

Add and subtract integers. In Grade 6, integers and rational numbers were introduced but not added or subtracted. 
7.NS.1d 
15

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 
21

Apply multiplication properties to rational numbers. 
7.NS.2a 
22

Interpret products of rational numbers in real situations. 
7.NS.2b 
23

Interpret quotients of rational numbers in real situations. 
7.NS.2b 
24*

Multiply and divide integers. 
7.NS.2c 
25

Multiply and divide rational numbers. 
7.NS.2d 
26

Write rational numbers as decimals. 
7.NS.3 
27

Compute with rational numbers to solve problems. 
7.NS.3 
28

Solve multistep problems with rational numbers. 
CCSS 
EXPRESSIONS & EQUATIONS


A 
1

Use properties of operations to generate equivalent expressions. 
7.EE.1 
11*

Add and subtract linear expressions with rational coefficients. 
7.EE.2 
12*

Expand or factor linear expressions. 
7.EE.2 
13

Interpret related expressions in real situations. 
B 
2

Solve reallife and mathematical problems using numerical and algebraic expressions and equations. 
7.EE.3 
21

Use operations with whole numbers to solve multistep problems. 
7.EE.3 
22

Use fractions to solve multistep problems. 
7.EE.3 
23

Use decimals to solve multistep problems. 
7.EE.3 
24

Assess reasonableness of answers by using estimation. 
7.EE.4a 
25

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 
26

Write linear equations to solve word problems. 
7.EE.4a 
27

Relate algebraic solutions to arithmetic solutions. 
7.EE.4b 
28

Write and solve linear inequalities for situations. 
7.EE.4b 
29

Graph and interpret solutions to inequalities. 
CCSS 
RATIOS & PROPORTIONAL RELATIONSHIPS


A 
1

Analyze proportional relationships and use them to solve realworld and mathematical problems.* 
7.RP.1 
11

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 
12*

Decide if two ratios or fractions form a proportion. 
7.RP.2a 
13

Find the missing value in a proportion. 
7.RP.2b 
14

Identify unit rates from tables, diagrams, or graphs. 
7.RP.2b 
15

Identify unit rates from equations or verbal descriptions. 
7.RP.2c 
16

Write equations for proportional relationships. 
7.RP.2d 
17

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 
21*

Use percent to solve simple interest and tax problems. 
7.RP.3 
22

Use percent to solve markup and markdown problems. 
7.RP.3 
23

Use percent to solve problems about tips, commissions, and fees. 
7.RP.3 
24

Solve problems about percent increase or decrease. 
7.RP.3 
25

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 
11

Compute lengths and areas from a scale drawing. 
7.G.1 
12

Reproduce scale drawing using a different scale. 
7.G.2 
13

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 
14

Draw geometric shapes with given conditions. 
7.G.3 
15

Describe twodimensional figures that result from slicing solids. 
B 
2

Solve reallife and mathematical problems involving angle measure, area, surface area, and volume. 
7.G.4 
21*

Recognize relationships between parts of a circle. Problems involving pi are new at this level. 
7.G.4 
22*

Apply formulas for circumference and area of circles. 
7.G.5 
23

Solve equations to find supplementary, complementary, vertical, and adjacent angles. 
7.G.6 
24

Solve problems involving area and surface area. 
7.G.6 
25*

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 
11

Identify representative sampling methods. 
7.SP.2 
12

Use a sample to draw inferences about a population. 
7.SP.2 
13

Compare predictions from various samples. 
B 
2

Draw informal comparative inferences about two populations. 
7.SP.3 
21

Visually compare the centers and spreads of distributions on dot plots. 
7.SP.4 
22

Use measures of center and variability to make inferences. 
C 
3

Investigate chance processes and develop, use, and evaluate probability models. 
7.SP.5 
31

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 
32

Use relative frequency of outcomes to approximate probability. 
7.SP.7a 
33*

Calculate simple probabilities based on equallylikely outcomes. 
7.SP.7b 
34

Make predictions based on relative frequency, and compare results to predictions. 
7.SP.8a 
35

Calculate probabilities of compound events. 
7.SP.8b 
36

Create an organized list, table, or tree diagram for a compound event. 
7.SP.8c 
37

Design and use simulations of compound events. 
*Math card games are available.  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. 