grade7

Seventh grade

Here is a list of all the skills students learn in eighth grade!
The skills are organized into categories, and you can click on any skill name to start practicing!

Number theory

A.1. Prime or composite
A.2. Prime factorization
A.3. Multiplicative inverses
A.4. Divisibility rules
A.5. Greatest common factor
A.6. Least common multiple
A.7. GCF and LCM: word problem
A.8. Scientific notation
A.9. Compare numbers written in scientific notation
A.10. Classify numbers

Decimal numbers

B.1. Decimal numbers review
B.2. Compare and order decimals
B.3. Decimal numbers line
B.4. Round decimals
B.5. Add decimals
B.6. Subtract decimals
B.7. Multiply decimals
B.8. Divide decimals
B.9. Multi-step inequalities with decimals
B.10. Maps with decimal distances
B.11. Simplify expressions involving decimals

Integers

C.1. Understanding integers
C.2. Integers on number lines
C.3. Absolute value and opposite integers
C.4. Compare and order integers
C.5. Integer inequalities with absolute values
C.6. Add integers
C.7. Subtract integers
C.8. Complete addition and subtraction sentences with integers
C.9. Multiply integers
C.10. Divide integers
C.11. Complete multiplication and division sentences with integers
C.12. Simplify expressions involving integer and absolute values

Fractions and mixed numbers

D.1. Equivalent fractions
D.2. Simplify fractions
D.3. Understanding fractions
D.4. Least common denominator
D.5. Compare and order fractions
D.6. Compare fractions: word problems
D.7. Convert between mixed numbers and improper fractions
D.8. Compare mixed numbers and improper fractions
D.9. Round mixed numbers
D.10. Add and subtract fractions
D.11. Add and subtract fractions: word problems
D.12. Inequalities with addition and subtraction of fractions and mixed numbers
D.13. Estimate sums and differences of mixed numbers
D.14. Multiply fractions
D.15. Multiply fractions and whole numbers
D.16. Multiply mixed numbers
D.17. Multiply fractions and mixed numbers: word problems
D.18. Divide fractions
D.19. Divide mixed numbers
D.20. Divide fractions and mixed numbers: word problems
D.21. Estimate products and quotients of fractions and mixed numbers
D.22. Add, subtract, multiply, and divide fractions and mixed numbers: word problems
D.23. Maps with fractional distances

Rational numbers

E.1. Identify rational numbers
E.2. Convert between fractions and mixed numbers
E.3. Convert between decimals and fractions
E.4. Absolute value of rational numbers
E.5. Compare and order rational numbers
E.6. Add and subtract rational numbers
E.7. Multiply rational numbers
E.8. Divide rational numbers

Exponents and square roots

F.1. Understanding exponents
F.2. Evaluate exponents
F.3. Exponents: solve for the variable
F.4. Exponents with negative bases
F.5. Exponents with fractional bases
F.6. Understanding negative exponents
F.7. Evaluate negative exponents
F.8. Simplify expressions involving exponents
F.9. Square roots of perfect squares
F.10. Estimate square roots

Ratios and proportions

G.1. Understanding ratios
G.2. Equivalent ratios
G.3. Equivalent ratios: word problems
G.4. Compare ratios: word problems
G.5. Unit rates
G.6. Do the ratios form a proportion?
G.7. Do the ratios form a proportion?: word problems
G.8. Solve proportions
G.9. Solve proportions: word problems
G.10. Estimate population size using proportions
G.11. Rate of change
G.12. Constant rate of change
G.13. Scale drawing and scale factors

Percents

H.1. What percentage is illustrated?
H.2. Convert a percent to a decimal
H.3. Convert a percent to a fraction
H.4. Convert a decimal to a percent
H.5. Convert a fraction to a percent
H.6. Compare percents to fractions and decimals
H.7. Percents of numbers
H.8. Percents of numbers: word problems
H.9. Solve percent equations
H.10. Solve percent equations: word problems
H.11. Percent of change
H.12. Percent of change: word problems

Consumer math

I.1. Add, subtract, multiply, and divide money amounts: word problems
I.2. Price lists
I.3. Unit prices
I.4. Unit prices: find the total price
I.5. Tipping
I.6. Discounts
I.7. Sales tax
I.8. Find the sales tax percentage
I.9. Find the percentage of discount
I.10. Sale prices: find the original price
I.11. Simple interest
I.12. Compound interest

Problem solving and estimating

J.1. Estimate to solve word problems
J.2. Multi-step word problems
J.3. Guess-and-check word problems
J.4. Use Venn diagrams to solve problems
J.5. Find the number of each type of coin
J.6. Elapsed time word problem

Measurement

K.1. Estimate customary measurements
K.2. Estimate metric measurements
K.1. Compare and convert customary units
K.2. Mixed customary units
K.3. Compare and convert metric units
K.4. Convert between customary and metric system
K.5. Accuracy and Precision
K.6. Celsius and Fahrenheit temperatures

Charts and graphs

L.1. Interpret tables
L.2. Interpret line plots
L.3. Create line plots
L.4. Interpret stem-and-leaf plots
L.5. Interpret bar graphs
L.6. Create bar graphs
L.7. Intepret histograms
L.8. Create histograms
L.9. Create frequency charts
L.10. Interpret circle graphs
L.11. Circle graphs and central angles
L.12. Interpret line graphs
L.13. Create line graphs
L.14. Interpret box-and-whisker plots
L.15. Scatter plots
L.16. Choose the best type of graph

Geometry

M.1. Lines, line segments, and rays
M.2. Parallel, perpendicular, intersecting
M.3. Name, measure, and classify angles
M.4. Identify complementary, suplementary, vertical, adjacent, and congruent angles
M.5. Find measures of complementary, supplementary, vertical, and adjacent angles
M.6. Transversal of parallel lines
M.7. Classify triangles
M.8. Find missing angles in triangles
M.9. Classify quadrilaterals
M.10. Find missing angles in quadrilaterals
M.11. Identify and classify polygons
M.12. Interior angles of polygons
M.13. Similar and congruent figures
M.14. Similar figures: side lengths and angle measures
M.15. Similar figures and indirect measurements
M.16. Congruent figures: side lengths and angle measures
M.17. Perimeter
M.18. Area of a rectangle
M.19. Area of a paralellogram
M.20. Area of a triangle
M.21. Area of a trapezoid
M.22. Area and perimeter: word problems
M.23. Parts of a circle
M.24. Area of a circle
M.25. Circles: calculate circumference, radius, and diameter
M.26. Circles: word problems
M.27. Find lengths and measures of bisected lines and angles
M.28. Front, side, and top view
M.29. 3-dimensional figures
M.30. Prism
M.31. Pyramid
M.32. Cylinder
M.33. Cone
M.34. Sphere
M.35. Nets of 3-dimensional figures
M.36. Surface area of prisms
M.37. Surface area of cylinders
M.38. Surface area of pyramids
M.39. Surface area of cones
M.40. Volume of prims
M.41. Volume of cylinders
M.42. Volume of pyramids
M.43. Volume of cones
M.44. Volume and surface area of spheres
M.45. Perimeter, area, and volume: changes in scale

Transformations

N.1. Identify reflections, rotations, and translations
N.2. Translations: graph the image
N.3. Translations: find the coordinates
N.4. Reflections: graph the image
N.5. Reflections: find the coordinates
N.6. Rotations: graph the image
N.7. Rotations: find the coordinates
N.8. Symmetry

Pythagorean theorem

O.1. Pythagorean theorem: find the length of the hypotenuse
O.2. Pythagorean theorem: find the missing leg length
O.3. Pythagorean theorem: word problems
O.4. Converse of the Pythagorean theorem: is it a right triangle?

Coordinate graphs

P.1. Points on coordinate graphs
P.2. Quadrants and axes
P.3. Coordinate graphs as maps

Number sequences

Q.1. Identify arithmetic and geometric sequences
Q.2. Arithmetic sequences
Q.3. Geometric sequences
Q.4. Number sequences: word problems
Q.5. Evaluate variable expressions for number sequences
Q.6. Write variable expressions for arithmetic sequences

Variable expressions

R.1. Write variable expressions
R.2. Evaluate single-variable expressions I
R.2. Evaluate single-variable expressions II
R.5. Evaluate multi-variable expressions
R.2. Evaluate variable expressions for numerators and denominators
R.6. Add and subtract like terms

Single-variable equations

S.1. Does x satisfy the equation?
S.2. Solve one-step linear equations
S.3. Solve two-step linear equations
S.4. Solve equations involving like terms

Inequalities

T.1. Inequalities on number lines
T.2. Solutions to variable inequalities
T.3. Solve one-step linear inequalities
T.4. Solve two-step linear inequalities

Linear functions

U.1. Identify proportional relationships
U.2. Find the constant of variation
U.3. Does (x.y) satisfy the linear equation?
U.4. Evaluate a function
U.5. Complete a function table
U.6. Write a rule for a function table
U.7. Find points on a function graph
U.8. Graph a line from a function table
U.9. Graph a line from an equation
U.10. Linear function word problem
U.11. Find the slope of a graph
U.12. Find the slope from two points
U.13. Find the slope from an equation
U.14. Graph a line using slope
U.15. Identify linear and nonlinear functions

Probability

V.1. Probability of simple events
V.2. Probability of opposite (complementary) events
V.3. Probability of mutually exclusive events
V.4. Probability of events that are not mutually exclusive
V.5. Experimental probability
V.6. Make predictions
V.7. Compound events: find the number of outcomes
V.8. Identify independent and dependent events
V.9. Probability of independent events
V.10. Probability of dependent events
V.11. Counting principle
V.12. Factorials
V.13. Permutations
V.14. Combinations

Statistics

W.1. Mean
W.2. Median
W.3. Mode
W.4. Range
W.5. Interpret charts to find mean
W.6. Interpret charts to find median
W.7. Interpret charts to find mode
W.8. Interpret charts to find range
W.9. Mean: find the missing number
W.10. Median: find the missing number
W.11. Mode: find the missing number
W.12. Range: find the missing number
W.13. Changes in mean
W.14. Changes in median
W.15. Changes in mode
W.16. Changes in range
W.17. Quartiles
W.18. Identify representative, random, and biased samples