7.RP Ratios & Proportional Relationships 7/7
7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems
-
Proportional RelationshipsCompute unit rates with fractional ratios, identify proportional relationships in tables, and write equations of the form $y = kx$.
7.RP.A.17.RP.A.27.RP.A.2.A7.RP.A.2.B7.RP.A.2.C -
Proportional GraphsRead and interpret the graph of a proportional relationship. Identify the constant of proportionality and explain what points like $(0, 0)$ and $(1, r)$ mean.
7.RP.A.2.D -
Percents in the Real WorldSolve multistep percent problems involving tax, tip, discount, percent change, and simple interest.
7.RP.A.3
7.NS The Number System 11/11
7.NS.A Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
-
Integer OperationsAdd, subtract, multiply, and divide signed integers. Focus on sign rules and three-term combinations.
7.NS.A.17.NS.A.1.A7.NS.A.1.B7.NS.A.1.C7.NS.A.1.D7.NS.A.27.NS.A.2.A7.NS.A.2.B7.NS.A.2.C -
Rational Number OperationsAdd, subtract, multiply, and divide signed fractions and decimals. Convert fractions to terminating or repeating decimal expansions.
7.NS.A.17.NS.A.27.NS.A.2.D -
Rational Numbers in ContextSolve real-world problems involving rational numbers in any form: temperature changes, account balances, elevations.
7.NS.A.3
7.EE Expressions & Equations 6/6
7.EE.A Use properties of operations to generate equivalent expressions
7.EE.B Solve real-life and mathematical problems using numerical and algebraic expressions and equations
-
Multi-Step Real-World ProblemsSolve multi-step problems involving rational numbers in any form, including discounts, tax, tip, and percent raises.
7.EE.B.3 -
Two-Step Equations and InequalitiesSolve two-step equations of the form $px + q = r$ and $p(x + q) = r$, and solve two-step inequalities and graph the solution on a number line.
7.EE.B.47.EE.B.4.A7.EE.B.4.B
7.G Geometry 6/6
7.G.A Draw, construct, and describe geometrical figures and describe the relationships between them
7.G.B Solve real-life and mathematical problems involving angle measure, area, surface area, and volume
-
CirclesUse the formulas $C = 2\pi r$ and $A = \pi r^2$ to compute circumference and area of circles, in terms of $\pi$ and numerically.
7.G.B.4 -
Angle RelationshipsFind unknown angles using facts about complementary, supplementary, and vertical angles, and solve equations for variable angle expressions.
7.G.B.5 -
Area, Volume, and Surface AreaFind the volume and surface area of right rectangular prisms, and compute the area of composite figures made from rectangles and triangles.
7.G.B.6
7.SP Statistics & Probability 13/13
7.SP.A Use random sampling to draw inferences about a population
7.SP.B Draw informal comparative inferences about two populations
7.SP.C Investigate chance processes and develop, use, and evaluate probability models
-
Probability BasicsUnderstand probability as a number between $0$ and $1$, compute theoretical probabilities from uniform models (dice, spinners, bags), and approximate probabilities from observed frequencies.
7.SP.C.57.SP.C.67.SP.C.77.SP.C.7.A7.SP.C.7.B -
Compound Events and SimulationFind probabilities of compound events using sample-space lists and tables, and design simulations to estimate probabilities of compound events.
7.SP.C.87.SP.C.8.A7.SP.C.8.B7.SP.C.8.C